Finite Group Databasebeta

← #7650121

Subgroups — #7650121

Order 512.

5787 conjugacy classes of subgroups.

The subgroup lattice has 1971 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42746C212yesmaximal, complemented
2#42608C212yesmaximal, complemented
3#42593C212yesmaximal, complemented
4#42570C212yesmaximal, complemented
5#42471C212yesmaximal, complemented
6#42468C212yesmaximal, complemented
7#42460C212yesmaximal, complemented
8#42454C212yesmaximal, complemented
9#40839C214yesmaximal, complemented
10#40810C214yesmaximal, complemented
11#40150C212yesmaximal, complemented
12#40092C212yesmaximal, complemented
13#39929C212yesmaximal, complemented
14#39900C212yesmaximal, complemented
15#39410C212yesmaximal, complemented
16#39352C212yesmaximal, complemented
17#39220C212yesmaximal, complemented
18#39148C212yesmaximal, complemented
19#38502C214yesmaximal, complemented
20#37722C214yesmaximal, complemented
21#35565C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35540C211yesmaximal, characteristic, complemented
24#35531C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28#35252C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic, complemented
31#34737C211yesmaximal, characteristic, complemented
32C2×#2416C211yesmaximal, characteristic, complemented
33#34269C211yesmaximal, characteristic, complemented
34#34200C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36C2×#540C2214yescomplemented
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×#121C2212yes—
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×#518C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic
52C23×C4⋊C4C2211yescharacteristic
53#2856C2212yescomplemented
54#2855C2212yescomplemented
55#2854C2212yescomplemented
56#2850C2212yescomplemented
57#2849C2214yes—
58#2837C2214yescomplemented
59#2836C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2797C2214yescomplemented
63#2786C2214yescomplemented
64#2780C2214yescomplemented
65#2780C2214yescomplemented
66#2777C2214yescomplemented
67#2768C2214yescomplemented
68#2761C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2752C2214yescomplemented
72#2749C2214yescomplemented
73#2749C2214yescomplemented
74#2749C2214yescomplemented
75#2743C2214yescomplemented
76#2741C2214yescomplemented
77#2740C2214yescomplemented
78#2711C2214yescomplemented
79#2709C2214yescomplemented
80#2709C2214yescomplemented
81#2707C2214yescomplemented
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2701C2214yescomplemented
85#2701C2214yescomplemented
86#2699C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2671C2214yescomplemented
92#2671C2214yescomplemented
93#2671C2214yescomplemented
94#2667C2214yescomplemented
95#2661C2214yescomplemented
96#2651C2214yescomplemented
97#2649C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2644C2214yescomplemented
101#2635C2214yescomplemented
102#2635C2214yescomplemented
103#2630C2214yescomplemented
104#2630C2214yescomplemented
105#2625C2212yescomplemented
106#2624C2214yescomplemented
107#2624C2212yescomplemented
108#2623C2214yes—
109#2620C2212yescomplemented
110#2619C2212yescomplemented
111#2571C2212yescomplemented
112#2570C2212yescomplemented
113#2570C2212yescomplemented
114#2552C2212yescomplemented
115#2541C2212yescomplemented
116#2541C2212yescomplemented
117#2541C2212yescomplemented
118#2541C2212yescomplemented
119#2540C2212yescomplemented
120#2540C2212yescomplemented
121#2540C2212yescomplemented
122#2540C2212yescomplemented
123#2539C2214yes—
124#2538C2212yescomplemented
125#2538C2211yescharacteristic, complemented
126#2538C2211yescharacteristic, complemented
127#2537C2212yescomplemented
128#2537C2211yescharacteristic, complemented
129#2537C2211yescharacteristic, complemented
130#2537C2212yescomplemented
131#2537C2212yescomplemented
132#2536C2212yescomplemented
133#2536C2211yescharacteristic, complemented
134#2536C2211yescharacteristic, complemented
135#2535C2212yescomplemented
136#2535C2211yescharacteristic, complemented
137#2535C2211yescharacteristic, complemented
138#2535C2212yescomplemented
139#2535C2212yescomplemented
140#2534C2212yes—
141#2534C2212yes—
142#2526C2214yescomplemented
143#2526C2214yescomplemented
144#2509C2212yescomplemented
145#2508C2212yescomplemented
146#2507C2212yescomplemented
147#2506C2212yescomplemented
148#2505C2214yes—
149#2504C2212yescomplemented
150#2504C2212yescomplemented
151#2503C2212yescomplemented
152#2502C2212yescomplemented
153#2501C2212yescomplemented
154#2501C2212yescomplemented
155#2500C2212yescomplemented
156#2500C2212yescomplemented
157#2487C2212yescomplemented
158#2487C2212yescomplemented
159#2486C2212yes—
160#2486C2212yescomplemented
161#2486C2212yescomplemented
162#2483C2214yes—
163#2476C2214yescomplemented
164#2476C2214yescomplemented
165#2473C2214yes—
166#2464C2214yescomplemented
167#2464C2214yescomplemented
168#2457C2214yescomplemented
169#2457C2214yescomplemented
170#2454C2214yescomplemented
171#2448C2212yescomplemented
172#2448C2212yescomplemented
173#2445C2214yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2444C2214yes—
177#2443C2214yes—
178#2433C2214yes—
179#2428C2214yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2427C2212yescomplemented
183#2427C2212yescomplemented
184#2425C2214yes—
185#2424C2214yes—
186#2423C2212yescomplemented
187#2422C2212yescomplemented
188#2422C2212yescomplemented
189#2422C2212yescomplemented
190#2422C2212yescomplemented
191#2422C2212yescomplemented
192#2421C2212yescomplemented
193#2420C2212yescomplemented
194#2420C2212yescomplemented
195#2420C2214yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2418C2214yes—
200#2418C2214yes—
201#2417C2211yescharacteristic, complemented
202#2417C2211yescharacteristic, complemented
203#2417C2212yescomplemented
204#2416C2212yes—
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yes—
208#2416C2212yes—
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yescomplemented
213#2416C2211yescharacteristic, complemented
214#2416C2212yescomplemented
215#2416C2211yescharacteristic, complemented
216#2416C2212yescomplemented
217#2415C2211yescharacteristic, complemented
218#2415C2211yescharacteristic, complemented
219#2415C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2211yescharacteristic, complemented
222#2414C2211yescharacteristic, complemented
223#2414C2212yescomplemented
224#2414C2212yescomplemented
225#2413C2212yes—
226#2412C2214yes—
227#2412C2212yes—
228#2411C2212yes—
229#2411C2214yes—
230#2410C2212yes—
231#2410C2214yes—
232#2410C2214yes—
233#2408C2212yes—
234#2405C2214yes—
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237#2392C2212yescomplemented
238#2392C2212yescomplemented
239C2×#396C2212yes—
240C2×#394C2212yes—
241#2367C2212yescomplemented
242#2367C2212yescomplemented
243#2366C2212yescomplemented
244#2366C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2360C2212yescomplemented
248#2360C2212yescomplemented
249#2358C2214yes—
250#2358C2214yes—
251#2352C2212yescomplemented
252#2352C2212yescomplemented
253D4×C4⋊C4C2212yescomplemented
254D4×C4⋊C4C2212yescomplemented
255#2347C2212yescomplemented
256#2346C2212yescomplemented
257#2345C2212yescomplemented
258#2344C2212yescomplemented
259#2343C2214yes—
260#2342C2214yes—
261#2335C2214yescomplemented
262#2333C2214yescomplemented
263#2328C2214yescomplemented
264#2324C2212yescomplemented
265#2324C2212yescomplemented
266#2322C2214yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2314C2212yescomplemented
273#2314C2212yescomplemented
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2309C2211yescharacteristic
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#120C2214yes—
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#386C2212yes—
290#2285C2211yescharacteristic
291#2285C2212yescomplemented
292#2283C2212yescomplemented
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C24×C4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308#540—416no—
309#537—44no—
310#535—28no—
311#535—44no—
312C2×#127C2312yes—
313C2×#127C2314yes—
314C2×#127C2314yes—
315C2×#127C2312yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319#525—28no—
320#525—44no—
321#525—44no—
322#525—44no—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×#121—44no—
345C2×#121—44no—
346C2×#121—48no—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#120C2314yes—
384C2×#120C2312yes—
385C2×#120C2312yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2314yes—
389#520—44no—
390#518—44no—
391C4×#41—44no—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4—44no—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×#117—28no—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2314yes—
438C2×#117C2312yes—
439C2×#117C2311yescharacteristic
440C22×C4⋊C4—44no—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C42C2312yes—
464C22×C42C2311yescharacteristic
465C22×C42C2312yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2312yes—
483#398C2312yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2312yes—
490#398C2312yes—
491#398C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2312yes—
506#397C2314yes—
507#397C2312yes—
508#397C2314yes—
509#397C2314yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#396C2314yes—
515#396C2314yes—
516#396C2312yes—
517#396C2312yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2312yes—
523#396C2312yes—
524#396C2312yes—
525#396C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2311yescharacteristic
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#384C2312yes—
735#384C2312yes—
736#384C2311yescharacteristic
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#383C2314yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2311yescharacteristic
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2314yes—
749#382C2312yes—
750#382C2314yes—
751#381C2312yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#381C2314yes—
757#381C2312yes—
758#381C2314yes—
759#381C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#379C2314yes—
793#379C2312yes—
794#379C2312yes—
795#379C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824#376C2314yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C25C2411yescharacteristic
828C25C2411yescharacteristic
829C25C2412yes—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—42no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—42no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—82no—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2411yescharacteristic
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2411yescharacteristic
877C23×C4—24no—
878C23×C4—24no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—44no—
884C23×C4—44no—
885C23×C4—82no—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913#127—28no—
914#127—44no—
915#127—48no—
916#127—48no—
917#125—48no—
918#124—28no—
919#124—44no—
920#123—28no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—44no—
926#123—44no—
927#123—44no—
928#123—48no—
929#123—84no—
930#123—84no—
931C22⋊Q8—24no—
932C22⋊Q8—24no—
933C22⋊Q8—42no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941#121—216no—
942#121—28no—
943#121—28no—
944#121—24no—
945#121—24no—
946#121—28no—
947#121—28no—
948#121—48no—
949#121—48no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—42no—
963#121—42no—
964#121—42no—
965#121—42no—
966#121—42no—
967#121—42no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—48no—
973#121—48no—
974#121—48no—
975#121—84no—
976#121—84no—
977#120—28no—
978#120—216no—
979#120—44no—
980#120—44no—
981#120—44no—
982#120—48no—
983C4×Q8—42no—
984C4×Q8—42no—
985C4×Q8—44no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—42no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—48no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—48no—
1013C4×D4—48no—
1014C4×D4—84no—
1015C4×D4—84no—
1016#117—24no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—24no—
1021#117—24no—
1022#117—24no—
1023#117—28no—
1024#117—28no—
1025#117—44no—
1026#117—48no—
1027#117—44no—
1028#117#4118yes—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—24no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—42no—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C22⋊C4—28no—
1101C2×C22⋊C4—44no—
1102C2×C22⋊C4—48no—
1103C2×C22⋊C4—44no—
1104C2×C22⋊C4—42no—
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—44no—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—82no—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C42—24no—
1189C2×C42—28no—
1190C2×C42—44no—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—24no—
1268C24—24no—
1269C24—24no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24C2511yescharacteristic
1280C24C2514yes—
1281C24C2512yes—
1282C24C2512yes—
1283C24C2511yescharacteristic
1284C24C2511yescharacteristic
1285C24C2511yescharacteristic
1286C24C2511yescharacteristic
1287#41—416no—
1288#41—416no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—28no—
1310C2×D4—28no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—28no—
1321C2×D4—28no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—42no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—416no—
1376C2×D4—416no—
1377C2×D4—816no—
1378C2×D4—816no—
1379C2×D4H(5,𝔽2)14yes—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—28no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—41no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—41no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—42no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—44no—
1446C22×C4—42no—
1447C22×C4—41no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—416no—
1459C22×C4—416no—
1460C22×C4—816no—
1461C22×C4C2×#4114yes—
1462C22×C4H(5,𝔽2)14yes—
1463C22×C4H(5,𝔽2)14yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2514yes—
1472C22×C4C2514yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2514yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—28no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—41no—
1517C4⋊C4—41no—
1518C4⋊C4—41no—
1519C4⋊C4—41no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4C2×#4114yes—
1548C4⋊C4C2×#4114yes—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4C2×#4118yes—
1628C42—24no—
1629C42—24no—
1630C42—24no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—24no—
1636C42—24no—
1637C42—24no—
1638C42—24no—
1639C42—42no—
1640C42—42no—
1641C42—44no—
1642C42—44no—
1643C42—44no—
1644C42—44no—
1645C42—44no—
1646C42C2×#4118yes—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—28no—
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—21no—
1669C23—21no—
1670C23—21no—
1671C23—22no—
1672C23—24no—
1673C23—22no—
1674C23—22no—
1675C23—24no—
1676C23—21no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—24no—
1682C23—21no—
1683C23—24no—
1684C23—21no—
1685C23—22no—
1686C23—21no—
1687C23—24no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—21no—
1694C23—24no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—44no—
1699C23—44no—
1700C23—44no—
1701C23—44no—
1702C23—44no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—48no—
1709C23—82no—
1710C23—82no—
1711C23—82no—
1712C23—84no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—84no—
1718C23C22×#4112yes—
1719C23C2×H(5,𝔽2)12yes—
1720C23C2×H(5,𝔽2)12yes—
1721C23C2×H(5,𝔽2)12yes—
1722C23C2×H(5,𝔽2)12yes—
1723C23#58512yes—
1724C23C2611yescharacteristic
1725Q8—44no—
1726Q8—44no—
1727D4—44no—
1728D4—48no—
1729D4—48no—
1730D4—44no—
1731D4—44no—
1732D4—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—44no—
1738D4—44no—
1739D4—88no—
1740D4—88no—
1741D4—84no—
1742D4—84no—
1743D4—84no—
1744D4—84no—
1745D4—88no—
1746D4—88no—
1747D4—88no—
1748D4—84no—
1749D4—84no—
1750D4—88no—
1751D4—164no—
1752D4—164no—
1753D4—164no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—48no—
1827C2×C4—44no—
1828C2×C4—48no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—84no—
1842C2×C4—84no—
1843C2×C4—82no—
1844C2×C4—88no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—88no—
1849C2×C4—164no—
1850C2×C4—164no—
1851C2×C4—164no—
1852C2×C4#540116yescomplemented
1853C2×C4C22×#4114yes—
1854C2×C4C22×#4114yes—
1855C2×C4C22×#4112yes—
1856C2×C4C22×#4112yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—416no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—42no—
1891C22—42no—
1892C22—44no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—44no—
1897C22—41no—
1898C22—42no—
1899C22—44no—
1900C22—41no—
1901C22—42no—
1902C22—42no—
1903C22—44no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—41no—
1908C22—44no—
1909C22—42no—
1910C22—41no—
1911C22—42no—
1912C22—42no—
1913C22—44no—
1914C22—42no—
1915C22—41no—
1916C22—42no—
1917C22—44no—
1918C22—88no—
1919C22—168no—
1920C22C2×#54014yes—
1921C22C23×#4111yescharacteristic
1922C22C22×H(5,𝔽2)11yescharacteristic
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C2×#58511yescharacteristic
1926C22H(7,𝔽2)11yescharacteristic
1927C222−1+611yescharacteristic
1928C4—24no—
1929C4—24no—
1930C4—22no—
1931C4—42no—
1932C4—42no—
1933C4—41no—
1934C4—42no—
1935C4—44no—
1936C4—42no—
1937C4—41no—
1938C4—41no—
1939C4—42no—
1940C4—42no—
1941C4—44no—
1942C4—44no—
1943C4—42no—
1944C4—42no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4C2×#54014yes—
1954C4C2×#54014yes—
1955C2—24no—
1956C2—42no—
1957C2—42no—
1958C2—42no—
1959C2—82no—
1960C2—82no—
1961C2—81no—
1962C2—84no—
1963C2C22×#54011yescharacteristic
1964C2#6281811yescharacteristic
1965C2#6287511yescharacteristic
1966C2#6291211yescharacteristic
1967C2#6295411yescharacteristic
1968C2#6298511yescharacteristic
1969C2#6300811yescharacteristic
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. #42746C2semidirect
2. #42608C2semidirect
3. #42593C2semidirect
4. #42570C2semidirect
5. #42471C2semidirect
6. #42468C2semidirect
7. #42460C2semidirect
8. #42454C2semidirect
9. #40839C2semidirect
10. #40810C2semidirect
11. #40150C2semidirect
12. #40092C2semidirect
13. #39929C2semidirect
14. #39900C2semidirect
15. #39410C2semidirect
16. #39352C2semidirect
17. #39220C2semidirect
18. #39148C2semidirect
19. #38502C2semidirect
20. #37722C2semidirect
21. #35565C2semidirect
22. #35543C2semidirect
23. #35540C2semidirect
24. #35531C2semidirect
25. #35518C2semidirect
26. #35514C2semidirect
27. #35255C2semidirect
28. #35252C2semidirect
29. #35227C2semidirect
30. #34935C2semidirect
31. #34737C2semidirect
32. C2×#2416C2semidirect
33. #34269C2semidirect
34. #34200C2semidirect
35. #34180C2semidirect
36. C2×#540C22semidirect
53. #2856C22semidirect
54. #2855C22semidirect
55. #2854C22semidirect
56. #2850C22semidirect
58. #2837C22semidirect
59. #2836C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2797C22semidirect
63. #2786C22semidirect
64. #2780C22semidirect
65. #2780C22semidirect
66. #2777C22semidirect
67. #2768C22semidirect
68. #2761C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2752C22semidirect
72. #2749C22semidirect
73. #2749C22semidirect
74. #2749C22semidirect
75. #2743C22semidirect
76. #2741C22semidirect
77. #2740C22semidirect
78. #2711C22semidirect
79. #2709C22semidirect
80. #2709C22semidirect
81. #2707C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2701C22semidirect
85. #2701C22semidirect
86. #2699C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2671C22semidirect
92. #2671C22semidirect
93. #2671C22semidirect
94. #2667C22semidirect
95. #2661C22semidirect
96. #2651C22semidirect
97. #2649C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
100. #2644C22semidirect
101. #2635C22semidirect
102. #2635C22semidirect
103. #2630C22semidirect
104. #2630C22semidirect
105. #2625C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
109. #2620C22semidirect
110. #2619C22semidirect
111. #2571C22semidirect
112. #2570C22semidirect
113. #2570C22semidirect
114. #2552C22semidirect
115. #2541C22semidirect
116. #2541C22semidirect
117. #2541C22semidirect
118. #2541C22semidirect
119. #2540C22semidirect
120. #2540C22semidirect
121. #2540C22semidirect
122. #2540C22semidirect
124. #2538C22semidirect
125. #2538C22semidirect
126. #2538C22semidirect
127. #2537C22semidirect
128. #2537C22semidirect
129. #2537C22semidirect
130. #2537C22semidirect
131. #2537C22semidirect
132. #2536C22semidirect
133. #2536C22semidirect
134. #2536C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2535C22semidirect
138. #2535C22semidirect
139. #2535C22semidirect
142. #2526C22semidirect
143. #2526C22semidirect
144. #2509C22semidirect
145. #2508C22semidirect
146. #2507C22semidirect
147. #2506C22semidirect
149. #2504C22semidirect
150. #2504C22semidirect
151. #2503C22semidirect
152. #2502C22semidirect
153. #2501C22semidirect
154. #2501C22semidirect
155. #2500C22semidirect
156. #2500C22semidirect
157. #2487C22semidirect
158. #2487C22semidirect
160. #2486C22semidirect
161. #2486C22semidirect
163. #2476C22semidirect
164. #2476C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
168. #2457C22semidirect
169. #2457C22semidirect
170. #2454C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
186. #2423C22semidirect
187. #2422C22semidirect
188. #2422C22semidirect
189. #2422C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2421C22semidirect
193. #2420C22semidirect
194. #2420C22semidirect
195. #2420C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
201. #2417C22semidirect
202. #2417C22semidirect
203. #2417C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2414C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
241. #2367C22semidirect
242. #2367C22semidirect
243. #2366C22semidirect
244. #2366C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2360C22semidirect
248. #2360C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2346C22semidirect
257. #2345C22semidirect
258. #2344C22semidirect
261. #2335C22semidirect
262. #2333C22semidirect
263. #2328C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
272. #2314C22semidirect
273. #2314C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
291. #2285C22semidirect
292. #2283C22semidirect
1852. C2×C4#540semidirect

Maximal subgroups

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

subgroupindex
#427462
#426082
#425932
#425702
#424712
#424682
#424602
#424542
#408392
#408102
#401502
#400922
#399292
#399002
#394102
#393522
#392202
#391482
#385022
#377222
#355652
#355432
#355402
#355312
#355182
#355142
#352552
#352522
#352272
#349352
#347372
C2×#24162
#342692
#342002
#341802