Finite Group Databasebeta

← #7715647

Subgroups — #7715647

Order 512.

7988 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3449C211yesmaximal, characteristic, complemented
3#50167C212yesmaximal, complemented
4#50166C212yesmaximal, complemented
5#49565C214yesmaximal, complemented
6#48777C212yesmaximal, complemented
7#48776C212yesmaximal, complemented
8#47854C214yesmaximal, complemented
9#47796C214yesmaximal, complemented
10#47795C214yesmaximal, complemented
11#47766C214yesmaximal, complemented
12#47719C214yesmaximal, complemented
13#37847C212yesmaximal, complemented
14#37845C212yesmaximal, complemented
15#37838C212yesmaximal, complemented
16#37837C212yesmaximal, complemented
17#37659C212yesmaximal, complemented
18#37656C212yesmaximal, complemented
19#37651C212yesmaximal, complemented
20#37649C212yesmaximal, complemented
21#37640C211yesmaximal, characteristic, complemented
22#37550C211yesmaximal, characteristic, complemented
23#37376C212yesmaximal, complemented
24#37272C212yesmaximal, complemented
25#35325C211yesmaximal, characteristic, complemented
26#35305C212yesmaximal, complemented
27#35302C211yesmaximal, characteristic, complemented
28#35251C212yesmaximal, complemented
29#34367C211yesmaximal, characteristic, complemented
30C23×#41C2212yes—
31#3547—216no—
32C2×#562C2214yescomplemented
33C2×#555C2212yescomplemented
34C2×#555C2211yescharacteristic, complemented
35C2×#554C2211yescharacteristic, complemented
36C2×#553C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#547C2211yescharacteristic, complemented
41C2×#544C2212yescomplemented
42C2×#542C2214yescomplemented
43C2×#540C2212yescomplemented
44#3449—216no—
45C2×#537C2212yes—
46C2×#537C2211yescharacteristic
47C2×#537C2211yescharacteristic
48C2×#537C2212yes—
49C2×#537C2212yescomplemented
50C2×#536C2212yes—
51C2×#536C2212yes—
52C2×#536C2212yes—
53C2×#536C2212yescomplemented
54C2×#535C2212yes—
55C2×#535C2212yes—
56C2×#534C2211yescharacteristic
57C2×#534C2211yescharacteristic
58C2×#534C2212yes—
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2212yes—
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#529C2211yescharacteristic, complemented
64C2×#525C2212yes—
65C2×#525C2212yes—
66C2×#525C2212yes—
67C2×#525C2212yes—
68C2×#525C2212yescomplemented
69C22×C22⋊Q8C2212yescomplemented
70C22×#117C2211yescharacteristic
71#2855C2211yescharacteristic, complemented
72#2855C2212yescomplemented
73#2854C2211yescharacteristic, complemented
74#2848C2212yes—
75#2848C2211yescharacteristic
76#2848C2212yescomplemented
77#2848C2212yescomplemented
78#2848C2212yescomplemented
79#2847C2211yescharacteristic
80#2847C2212yescomplemented
81#2821C2212yescomplemented
82#2820C2214yescomplemented
83#2818C2212yescomplemented
84#2734C2214yescomplemented
85#2731C2214yescomplemented
86#2730C2214yescomplemented
87#2729C2214yescomplemented
88#2717C2214yescomplemented
89#2709C2214yescomplemented
90#2707C2214yescomplemented
91#2704C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2701C2214yescomplemented
95#2700C2214yescomplemented
96#2699C2214yescomplemented
97#2697C2214yescomplemented
98#2695C2214yescomplemented
99#2694C2214yescomplemented
100#2691C2214yescomplemented
101#2690C2214yescomplemented
102#2689C2214yescomplemented
103#2688C2214yescomplemented
104#2688C2214yescomplemented
105#2687C2214yescomplemented
106#2686C2214yescomplemented
107#2686C2214yescomplemented
108#2686C2214yescomplemented
109#2685C2214yescomplemented
110#2683C2214yescomplemented
111#2682C2214yescomplemented
112#2682C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2680C2214yescomplemented
116#2680C2214yescomplemented
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2677C2214yescomplemented
120#2676C2214yescomplemented
121#2674C2214yescomplemented
122#2674C2214yescomplemented
123#2673C2214yescomplemented
124#2672C2214yescomplemented
125#2672C2214yescomplemented
126#2671C2214yescomplemented
127#2671C2214yescomplemented
128#2670C2214yescomplemented
129#2670C2214yescomplemented
130#2668C2214yescomplemented
131#2668C2214yescomplemented
132#2661C2214yescomplemented
133#2635C2212yescomplemented
134#2635C2212yescomplemented
135#2629C2212yescomplemented
136#2628C2212yescomplemented
137#2624C2212yescomplemented
138#2624C2212yescomplemented
139#2621C2212yescomplemented
140#2620C2214yescomplemented
141#2620C2212yescomplemented
142#2616C2212yes—
143#2616C2212yes—
144#2616C2212yes—
145#2616C2212yescomplemented
146#2616C2212yescomplemented
147#2616C2212yescomplemented
148#2615C2212yes—
149#2615C2212yescomplemented
150#2611C2214yescomplemented
151#2610C2214yescomplemented
152#2609C2214yescomplemented
153#2601C2214yescomplemented
154#2599C2214yescomplemented
155#2583C2212yescomplemented
156#2579C2212yescomplemented
157#2567C2212yescomplemented
158#2562C2211yescharacteristic, complemented
159#2562C2211yescharacteristic, complemented
160#2561C2212yes—
161#2558C2214yescomplemented
162#2557C2214yescomplemented
163#2556C2214yescomplemented
164#2555C2214yescomplemented
165#2549C2214yescomplemented
166#2548C2212yescomplemented
167#2547C2212yescomplemented
168#2542C2212yescomplemented
169#2540C2211yescharacteristic, complemented
170#2540C2211yescharacteristic, complemented
171#2538C2212yescomplemented
172#2538C2212yescomplemented
173#2536C2212yescomplemented
174#2535C2212yescomplemented
175#2534C2212yes—
176#2534C2214yescomplemented
177#2487C2212yescomplemented
178#2486C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2484C2212yescomplemented
182#2482C2212yes—
183#2477C2214yescomplemented
184#2476C2214yescomplemented
185#2472C2214yescomplemented
186#2472C2214yescomplemented
187#2471C2214yescomplemented
188#2470C2214yescomplemented
189#2464C2214yescomplemented
190#2461C2214yescomplemented
191#2456C2214yescomplemented
192#2455C2214yescomplemented
193#2452C2214yescomplemented
194#2449C2214yescomplemented
195#2449C2214yescomplemented
196#2444C2214yescomplemented
197#2443C2214yescomplemented
198#2443C2214yescomplemented
199#2440C2214yescomplemented
200#2438C2214yescomplemented
201#2435C2214yes—
202#2434C2214yescomplemented
203#2432C2214yes—
204#2432C2214yescomplemented
205#2430C2214yes—
206#2430C2214yescomplemented
207#2425C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2422C2214yescomplemented
211#2418C2214yescomplemented
212#2418C2214yescomplemented
213#2417C2212yescomplemented
214#2417C2212yescomplemented
215#2417C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2214yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2414C2212yescomplemented
222#2413C2212yescomplemented
223#2411C2212yes—
224#2411C2214yescomplemented
225#2410C2214yes—
226#2410C2214yescomplemented
227#2409C2212yescomplemented
228#2409C2212yescomplemented
229#2409C2214yescomplemented
230#2408C2214yes—
231#2407C2214yes—
232#2407C2212yescomplemented
233#2407C2212yescomplemented
234#2407C2214yescomplemented
235#2406C2214yes—
236#2406C2214yescomplemented
237#2405C2214yes—
238#2405C2214yescomplemented
239#2377C2212yescomplemented
240#2377C2212yescomplemented
241#2363C2214yescomplemented
242#2354C2212yescomplemented
243#2352C2212yescomplemented
244#2352C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246#2337C2214yescomplemented
247#2331C2212yescomplemented
248#2328C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2323C2212yescomplemented
253#2311C2212yes—
254#2311C2212yes—
255#2311C2212yescomplemented
256#2311C2212yescomplemented
257#2285C2211yescharacteristic, complemented
258#2283C2211yescharacteristic, complemented
259#2280C2212yescomplemented
260C2×#380C2212yescomplemented
261C22×#41—216no—
262C22×#41—48no—
263C22×#41—48no—
264C22×#41C2312yes—
265C22×#41C2312yes—
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2312yes—
273C23×Q8C2312yes—
274C23×Q8C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C23×D4C2312yes—
278C24×C4C2311yescharacteristic
279C24×C4C2312yes—
280C24×C4C2312yes—
281#562—232no—
282#555—216no—
283#555—28no—
284#554—28no—
285#553—216no—
286#552—216no—
287D4×Q8—28no—
288#548—216no—
289#547—28no—
290#544—216no—
291#542—232no—
292#540—216no—
293#537—216no—
294#537—28no—
295#537—28no—
296#537—216no—
297#537—48no—
298#536—216no—
299#536—216no—
300#536—216no—
301#536—48no—
302#535—216no—
303#535—216no—
304#534—28no—
305#534—28no—
306#534—216no—
307#533—28no—
308#532—216no—
309#532—28no—
310#532D4116yescomplemented
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322#529—28no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2312yes—
339#525—216no—
340#525—216no—
341#525—216no—
342#525—216no—
343#525—48no—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2314yes—
362C2×C22⋊Q8—48no—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×#121C2312yes—
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#120C2312yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×#120C2312yes—
430C2×#120C2312yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×#117—28no—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2314yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2314yes—
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2314yes—
481C22×C22⋊C4C2314yes—
482C22×C42C2311yescharacteristic
483C22×C42C2311yescharacteristic
484#400C2312yes—
485#400C2312yes—
486#400C2314yes—
487#400C2314yes—
488#399C2314yes—
489#399C2314yes—
490#399C2312yes—
491#399C2312yes—
492#399C2314yes—
493#399C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#391C2314yes—
585#391C2314yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
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#388C2314yes—
639#388C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2314yes—
703#384C2312yes—
704#383C2312yes—
705#382C2312yes—
706#382C2312yes—
707#381C2314yes—
708#381C2312yes—
709#381C2312yes—
710#381C2314yes—
711#381C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#379C2314yes—
738#379C2312yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753#376C2312yes—
754C2×#95C2314yes—
755C25C2411yescharacteristic
756C25C2412yes—
757C25C2412yes—
758C2×#41—28no—
759C2×#41—28no—
760C2×#41—28no—
761C2×#41—28no—
762C2×#41—28no—
763C2×#41—28no—
764C2×#41—28no—
765C2×#41—28no—
766C2×#41—28no—
767C2×#41—28no—
768C2×#41—44no—
769C2×#41—44no—
770C2×#41—44no—
771C2×#41—44no—
772C2×#41—44no—
773C2×#41—44no—
774C2×#41—44no—
775C2×#41—44no—
776C2×#41—44no—
777C2×#41—44no—
778C2×#41—44no—
779C2×#41—44no—
780C2×#41—44no—
781C2×#41—44no—
782C2×#41—44no—
783C2×#41—44no—
784C2×#41—4128no—
785C2×#41C2×D4116yes—
786C22×Q8—28no—
787C22×Q8—28no—
788C22×Q8—44no—
789C22×Q8—44no—
790C22×Q8—44no—
791C22×Q8—44no—
792C22×Q8C2411yescharacteristic
793C22×Q8C2412yes—
794C22×Q8C2412yes—
795C22×Q8C2412yes—
796C22×Q8C2412yes—
797C22×Q8C2414yes—
798C22×Q8C2412yes—
799C22×Q8C2412yes—
800C22×D4—28no—
801C22×D4—28no—
802C22×D4—28no—
803C22×D4—44no—
804C22×D4—44no—
805C22×D4—44no—
806C22×D4—44no—
807C22×D4—44no—
808C22×D4—44no—
809C22×D4C2411yescharacteristic
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2412yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C23×C4—24no—
839C23×C4—28no—
840C23×C4—28no—
841C23×C4—28no—
842C23×C4—28no—
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—44no—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C4⋊Q8—28no—
871C4⋊Q8—216no—
872C4⋊Q8—28no—
873C4⋊Q8—24no—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—48no—
877C4⋊Q8C2×D418yes—
878#127—28no—
879#127—24no—
880#127C2×D418yes—
881#126—216no—
882#126—28no—
883#125—216no—
884#125—28no—
885#125—24no—
886#125—28no—
887#124—28no—
888#124—28no—
889#124—216no—
890#124—216no—
891#124—216no—
892#124—24no—
893#124—28no—
894#124—48no—
895#124—84no—
896#124C2×D4116yes—
897#123—216no—
898#123—216no—
899#123—216no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—28no—
904#123—28no—
905#123—28no—
906#123—28no—
907#123—28no—
908#123—28no—
909#123—216no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—84no—
914#123—82no—
915C22⋊Q8—216no—
916C22⋊Q8—24no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—216no—
930C22⋊Q8—28no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—216no—
935C22⋊Q8—216no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—48no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945#121—28no—
946#121—28no—
947#121—28no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—216no—
954#121—216no—
955#121—216no—
956#121—28no—
957#121—216no—
958#121—28no—
959#121—24no—
960#121—24no—
961#121—24no—
962#121—28no—
963#121—28no—
964#121—28no—
965#121—28no—
966#121—28no—
967#121—28no—
968#121—28no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—44no—
973#121—44no—
974#121—84no—
975#121C2×D418yes—
976#121C2×D418yes—
977#121C2×D4116yes—
978#120—28no—
979#120—28no—
980#120—28no—
981#120—28no—
982#120—28no—
983#120—28no—
984#120—28no—
985#120—28no—
986#120—48no—
987#120—82no—
988#120—84no—
989C4×Q8—24no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—48no—
1005C4×D4—48no—
1006C4×D4—84no—
1007C4×D4C2×D418yes—
1008C4×D4C2×D4116yes—
1009C4×D4C2×D418yes—
1010#117—28no—
1011#117—28no—
1012#117—28no—
1013#117—216no—
1014#117—28no—
1015#117—28no—
1016#117—28no—
1017#117—28no—
1018#117—28no—
1019#117—44no—
1020#117—44no—
1021#117—82no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4—48no—
1028C2×C4⋊C4—44no—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C22⋊C4—24no—
1081C2×C22⋊C4—24no—
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4—84no—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C42—24no—
1151C2×C42C2×D418yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24—22no—
1201C24—24no—
1202C24—24no—
1203C24—24no—
1204C24—24no—
1205C24—24no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24—41no—
1213C24—42no—
1214C24—42no—
1215C24—41no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2512yes—
1224C24C2511yescharacteristic
1225C24C2512yes—
1226#41—432no—
1227#41—432no—
1228#41—432no—
1229#41—432no—
1230#41—432no—
1231#41—432no—
1232#41—432no—
1233#41—432no—
1234#41—816no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—28no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—432no—
1258C2×Q8—816no—
1259C2×Q8C22×D418yes—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—432no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—432no—
1338C2×D4—432no—
1339C2×D4C22×D414yes—
1340C2×D4C22×D414yes—
1341C2×D4C22×D418yes—
1342C2×D4C22×D418yes—
1343C2×D4C22×D418yes—
1344C2×D4C22×D418yes—
1345C22×C4—232no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—28no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—28no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—41no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—432no—
1393C22×C4—432no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—41no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—41no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4C22×D414yes—
1410C22×C4C22×D418yes—
1411C22×C4C22×D418yes—
1412C22×C4C22×D414yes—
1413C22×C4C22×D414yes—
1414C22×C4H(5,𝔽2)18yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2514yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4C22×D414yes—
1486C4⋊C4C22×D414yes—
1487C4⋊C4C22×D418yes—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4C22×D418yes—
1551C22⋊C4C22×D418yes—
1552C22⋊C4C22×D418yes—
1553C22⋊C4C22×D418yes—
1554C42—24no—
1555C42—24no—
1556C42—28no—
1557C42—28no—
1558C42—24no—
1559C42—42no—
1560C42—44no—
1561C42—44no—
1562C42—44no—
1563C42—42no—
1564C42C22×D414yes—
1565C42C22×D414yes—
1566C42C22×D414yes—
1567C42C22×D414yes—
1568C23—28no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—48no—
1611C23—48no—
1612C23—48no—
1613C23—48no—
1614C23—82no—
1615C23—84no—
1616C23—84no—
1617C23—82no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—84no—
1627C23—84no—
1628C23C23×D414yes—
1629C23C23×D414yes—
1630C23C23×D412yes—
1631C23C2×H(5,𝔽2)14yes—
1632C23C2611yescharacteristic
1633Q8—48no—
1634Q8—48no—
1635Q8—48no—
1636Q8—48no—
1637Q8—44no—
1638Q8—48no—
1639Q8—84no—
1640Q8—88no—
1641D4—48no—
1642D4—48no—
1643D4—48no—
1644D4—48no—
1645D4—44no—
1646D4—44no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—48no—
1652D4—48no—
1653D4—48no—
1654D4—48no—
1655D4—48no—
1656D4—44no—
1657D4—84no—
1658D4—82no—
1659D4—82no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—88no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667D4—88no—
1668D4—88no—
1669D4—164no—
1670C2×C4—216no—
1671C2×C4—28no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—216no—
1686C2×C4—28no—
1687C2×C4—216no—
1688C2×C4—216no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—82no—
1740C2×C4—82no—
1741C2×C4—88no—
1742C2×C4—88no—
1743C2×C4—164no—
1744C2×C4C23×D412yes—
1745C2×C4C23×D412yes—
1746C2×C4C23×D412yes—
1747C2×C4C23×D414yes—
1748C2×C4C23×D412yes—
1749C2×C4C23×D412yes—
1750C2×C4C23×D414yes—
1751C2×C4C23×D412yes—
1752C2×C4C2×H(5,𝔽2)14yes—
1753C2×C4C2×H(5,𝔽2)14yes—
1754C22—24no—
1755C22—22no—
1756C22—24no—
1757C22—24no—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—22no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—88no—
1800C22—816no—
1801C22—816no—
1802C22C24×D411yescharacteristic
1803C22C22×H(5,𝔽2)12yes—
1804C22H(7,𝔽2)11yescharacteristic
1805C222−1+611yescharacteristic
1806C222−1+612yes—
1807C4—24no—
1808C4—22no—
1809C4—24no—
1810C4—24no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—44no—
1822C4—42no—
1823C4—42no—
1824C4—44no—
1825C4—44no—
1826C4—44no—
1827C4—44no—
1828C4#348414yes—
1829C2—42no—
1830C2—44no—
1831C2—44no—
1832C2—44no—
1833C2—82no—
1834C2—82no—
1835C2—82no—
1836C2C2×#348411yescharacteristic
1837C2#6285311yescharacteristic
1838C2#6285911yescharacteristic
1839C2#6287512yes—
1840C2#6288612yes—
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. C2×#3547C2semidirect
2. C2×#3449C2semidirect
3. #50167C2semidirect
4. #50166C2semidirect
5. #49565C2semidirect
6. #48777C2semidirect
7. #48776C2semidirect
8. #47854C2semidirect
9. #47796C2semidirect
10. #47795C2semidirect
11. #47766C2semidirect
12. #47719C2semidirect
13. #37847C2semidirect
14. #37845C2semidirect
15. #37838C2semidirect
16. #37837C2semidirect
17. #37659C2semidirect
18. #37656C2semidirect
19. #37651C2semidirect
20. #37649C2semidirect
21. #37640C2semidirect
22. #37550C2semidirect
23. #37376C2semidirect
24. #37272C2semidirect
25. #35325C2semidirect
26. #35305C2semidirect
27. #35302C2semidirect
28. #35251C2semidirect
29. #34367C2semidirect
32. C2×#562C22semidirect
33. C2×#555C22semidirect
34. C2×#555C22semidirect
35. C2×#554C22semidirect
36. C2×#553C22semidirect
37. C2×#552C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#547C22semidirect
41. C2×#544C22semidirect
42. C2×#542C22semidirect
43. C2×#540C22semidirect
49. C2×#537C22semidirect
53. C2×#536C22semidirect
59. C2×#533C22semidirect
63. C2×#529C22semidirect
68. C2×#525C22semidirect
69. C22×C22⋊Q8C22semidirect
71. #2855C22semidirect
72. #2855C22semidirect
73. #2854C22semidirect
76. #2848C22semidirect
77. #2848C22semidirect
78. #2848C22semidirect
80. #2847C22semidirect
81. #2821C22semidirect
82. #2820C22semidirect
83. #2818C22semidirect
84. #2734C22semidirect
85. #2731C22semidirect
86. #2730C22semidirect
87. #2729C22semidirect
88. #2717C22semidirect
89. #2709C22semidirect
90. #2707C22semidirect
91. #2704C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2701C22semidirect
95. #2700C22semidirect
96. #2699C22semidirect
97. #2697C22semidirect
98. #2695C22semidirect
99. #2694C22semidirect
100. #2691C22semidirect
101. #2690C22semidirect
102. #2689C22semidirect
103. #2688C22semidirect
104. #2688C22semidirect
105. #2687C22semidirect
106. #2686C22semidirect
107. #2686C22semidirect
108. #2686C22semidirect
109. #2685C22semidirect
110. #2683C22semidirect
111. #2682C22semidirect
112. #2682C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2680C22semidirect
116. #2680C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
119. #2677C22semidirect
120. #2676C22semidirect
121. #2674C22semidirect
122. #2674C22semidirect
123. #2673C22semidirect
124. #2672C22semidirect
125. #2672C22semidirect
126. #2671C22semidirect
127. #2671C22semidirect
128. #2670C22semidirect
129. #2670C22semidirect
130. #2668C22semidirect
131. #2668C22semidirect
132. #2661C22semidirect
133. #2635C22semidirect
134. #2635C22semidirect
135. #2629C22semidirect
136. #2628C22semidirect
137. #2624C22semidirect
138. #2624C22semidirect
139. #2621C22semidirect
140. #2620C22semidirect
141. #2620C22semidirect
145. #2616C22semidirect
146. #2616C22semidirect
147. #2616C22semidirect
149. #2615C22semidirect
150. #2611C22semidirect
151. #2610C22semidirect
152. #2609C22semidirect
153. #2601C22semidirect
154. #2599C22semidirect
155. #2583C22semidirect
156. #2579C22semidirect
157. #2567C22semidirect
158. #2562C22semidirect
159. #2562C22semidirect
161. #2558C22semidirect
162. #2557C22semidirect
163. #2556C22semidirect
164. #2555C22semidirect
165. #2549C22semidirect
166. #2548C22semidirect
167. #2547C22semidirect
168. #2542C22semidirect
169. #2540C22semidirect
170. #2540C22semidirect
171. #2538C22semidirect
172. #2538C22semidirect
173. #2536C22semidirect
174. #2535C22semidirect
176. #2534C22semidirect
177. #2487C22semidirect
178. #2486C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2484C22semidirect
183. #2477C22semidirect
184. #2476C22semidirect
185. #2472C22semidirect
186. #2472C22semidirect
187. #2471C22semidirect
188. #2470C22semidirect
189. #2464C22semidirect
190. #2461C22semidirect
191. #2456C22semidirect
192. #2455C22semidirect
193. #2452C22semidirect
194. #2449C22semidirect
195. #2449C22semidirect
196. #2444C22semidirect
197. #2443C22semidirect
198. #2443C22semidirect
199. #2440C22semidirect
200. #2438C22semidirect
202. #2434C22semidirect
204. #2432C22semidirect
206. #2430C22semidirect
207. #2425C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2422C22semidirect
211. #2418C22semidirect
212. #2418C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2417C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2414C22semidirect
222. #2413C22semidirect
224. #2411C22semidirect
226. #2410C22semidirect
227. #2409C22semidirect
228. #2409C22semidirect
229. #2409C22semidirect
232. #2407C22semidirect
233. #2407C22semidirect
234. #2407C22semidirect
236. #2406C22semidirect
238. #2405C22semidirect
239. #2377C22semidirect
240. #2377C22semidirect
241. #2363C22semidirect
242. #2354C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2337C22semidirect
247. #2331C22semidirect
248. #2328C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
255. #2311C22semidirect
256. #2311C22semidirect
257. #2285C22semidirect
258. #2283C22semidirect
259. #2280C22semidirect
260. C2×#380C22semidirect
310. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34492
#501672
#501662
#495652
#487772
#487762
#478542
#477962
#477952
#477662
#477192
#378472
#378452
#378382
#378372
#376592
#376562
#376512
#376492
#376402
#375502
#373762
#372722
#353252
#353052
#353022
#352512
#343672