Finite Group Databasebeta

← #7715935

Subgroups — #7715935

Order 512.

6636 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C211yesmaximal, characteristic
2C22×#552C211yesmaximal, characteristic, complemented
3#50181C214yesmaximal, complemented
4#48836C214yesmaximal, complemented
5#48829C214yesmaximal, complemented
6#48788C214yesmaximal, complemented
7#44761C214yesmaximal, complemented
8#44494C214yesmaximal, complemented
9#44475C214yesmaximal, complemented
10#44461C214yesmaximal, complemented
11#39589C212yesmaximal, complemented
12#39122C212yesmaximal, complemented
13#38046C212yesmaximal, complemented
14#38038C212yesmaximal, complemented
15#37835C212yesmaximal, complemented
16#37835C212yesmaximal, complemented
17#36970C211yesmaximal, characteristic, complemented
18#36968C211yesmaximal, characteristic, complemented
19#36960C211yesmaximal, characteristic, complemented
20#36959C211yesmaximal, characteristic, complemented
21#36341C212yesmaximal, complemented
22#36155C212yesmaximal, complemented
23#35311C211yesmaximal, characteristic, complemented
24#35263C211yesmaximal, characteristic, complemented
25#35154C211yesmaximal, characteristic, complemented
26#35093C211yesmaximal, characteristic, complemented
27#35092C211yesmaximal, characteristic, complemented
28#35090C211yesmaximal, characteristic, complemented
29#35057C211yesmaximal, characteristic, complemented
30C2×#2627C211yesmaximal, characteristic, complemented
31#34376C211yesmaximal, characteristic, complemented
32#3535—216no—
33C2×#563C2212yes—
34C2×#562C2212yes—
35C2×#554C2212yes—
36C2×#552—216no—
37C2×#552C2212yes—
38C2×#552C2214yes—
39C2×#552C2214yes—
40C2×#552C2214yes—
41C2×#552C2214yes—
42C2×#551C2212yes—
43C2×#551C2212yes—
44C2×#547C2212yes—
45C2×#546C2212yes—
46C2×#544C2211yescharacteristic
47C2×#543C2211yescharacteristic
48C2×#542C2212yes—
49C2×#539C2211yescharacteristic
50C2×#539C2212yes—
51C2×#539C2212yes—
52C2×#538C2211yescharacteristic
53C2×#536C2212yes—
54C22×#126C2211yescharacteristic
55C22×#126C2211yescharacteristic
56C22×#125C2211yescharacteristic
57C22×#125C2211yescharacteristic
58C22×#125C2211yescharacteristic
59C2×#525C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C22×C22⋊Q8C2211yescharacteristic
64C22×C22⋊Q8C2211yescharacteristic
65C22×C4×Q8C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C23×C4⋊C4C2211yescharacteristic
71#2855C2211yescharacteristic
72#2855C2211yescharacteristic
73#2855C2212yes—
74#2855C2211yescharacteristic
75#2855C2211yescharacteristic
76#2855C2212yes—
77#2855C2211yescharacteristic
78#2855C2211yescharacteristic
79#2854C2211yescharacteristic
80#2854C2211yescharacteristic
81#2853C2212yes—
82#2849C2212yes—
83#2849C2212yes—
84#2849C2212yes—
85#2726C2214yescomplemented
86#2726C2214yescomplemented
87#2725C2214yescomplemented
88#2724C2214yes—
89#2722C2214yescomplemented
90#2722C2214yescomplemented
91#2720C2214yescomplemented
92#2719C2214yescomplemented
93#2719C2214yescomplemented
94#2719C2214yescomplemented
95#2719C2214yescomplemented
96#2718C2214yescomplemented
97#2717C2214yes—
98#2715C2214yescomplemented
99#2713C2214yescomplemented
100#2713C2214yescomplemented
101#2713C2214yescomplemented
102#2708C2214yes—
103#2707C2214yescomplemented
104#2704C2214yescomplemented
105#2704C2214yescomplemented
106#2701C2214yes—
107#2700C2214yescomplemented
108#2700C2214yescomplemented
109#2698C2214yescomplemented
110#2698C2214yescomplemented
111#2698C2214yescomplemented
112#2698C2214yescomplemented
113#2695C2214yescomplemented
114#2695C2214yescomplemented
115#2691C2214yescomplemented
116#2690C2214yescomplemented
117#2690C2214yescomplemented
118#2689C2214yescomplemented
119#2689C2214yescomplemented
120#2689C2214yescomplemented
121#2689C2214yescomplemented
122#2689C2214yescomplemented
123#2687C2214yescomplemented
124#2687C2214yescomplemented
125#2627C2211yescharacteristic
126#2627C2211yescharacteristic
127#2627C2212yes—
128#2627C2211yescharacteristic
129#2627C2212yes—
130#2627C2211yescharacteristic
131#2627C2211yescharacteristic
132#2627C2211yescharacteristic
133#2627C2212yes—
134#2627C2212yes—
135#2627C2212yescomplemented
136#2627C2212yescomplemented
137#2627C2214yescomplemented
138#2625C2212yescomplemented
139#2625C2212yescomplemented
140#2625C2212yescomplemented
141#2624C2212yescomplemented
142#2622C2212yes—
143#2618C2211yescharacteristic
144#2618C2211yescharacteristic
145#2614C2212yes—
146#2591C2212yescomplemented
147#2583C2212yes—
148#2583C2212yes—
149#2583C2212yescomplemented
150#2579C2212yes—
151#2579C2212yes—
152#2579C2214yescomplemented
153#2556C2214yescomplemented
154#2550C2214yescomplemented
155#2549C2214yescomplemented
156#2549C2214yescomplemented
157#2521C2214yescomplemented
158#2506C2214yescomplemented
159#2503C2212yes—
160#2503C2212yes—
161#2503C2212yes—
162#2502C2212yes—
163#2499C2214yescomplemented
164#2498C2214yescomplemented
165#2496C2214yescomplemented
166#2489C2214yescomplemented
167#2488C2214yescomplemented
168#2488C2214yescomplemented
169#2487C2212yes—
170#2486C2212yes—
171#2486C2212yes—
172#2486C2214yes—
173#2486C2212yes—
174#2485C2214yescomplemented
175#2484C2212yes—
176#2484C2212yes—
177#2484C2212yescomplemented
178#2484C2214yescomplemented
179#2483C2212yes—
180#2483C2212yes—
181#2483C2212yes—
182#2483C2212yes—
183#2478C2214yescomplemented
184#2478C2214yescomplemented
185#2478C2214yescomplemented
186#2478C2214yescomplemented
187#2476C2214yescomplemented
188#2474C2214yescomplemented
189#2474C2214yescomplemented
190#2473C2214yescomplemented
191#2470C2214yescomplemented
192#2470C2214yescomplemented
193#2469C2214yescomplemented
194#2468C2214yescomplemented
195#2465C2214yescomplemented
196#2462C2214yescomplemented
197#2462C2214yescomplemented
198#2458C2214yescomplemented
199#2453C2214yescomplemented
200#2453C2214yescomplemented
201#2453C2214yescomplemented
202#2451C2214yescomplemented
203#2451C2214yescomplemented
204#2450C2214yescomplemented
205#2450C2214yescomplemented
206#2447C2214yes—
207#2444C2214yes—
208#2444C2214yes—
209#2442C2214yescomplemented
210#2438C2214yescomplemented
211#2438C2214yescomplemented
212#2438C2214yescomplemented
213#2438C2214yescomplemented
214#2438C2214yescomplemented
215#2438C2214yescomplemented
216#2438C2214yescomplemented
217#2425C2214yes—
218#2420C2214yes—
219#2419C2214yes—
220#2419C2214yes—
221#2419C2214yes—
222#2413C2212yes—
223#2413C2212yes—
224#2413C2214yescomplemented
225#2413C2214yescomplemented
226#2412C2212yes—
227#2412C2212yes—
228#2412C2212yes—
229#2412C2212yes—
230#2406C2214yes—
231#2406C2212yescomplemented
232C2×#400C2212yescomplemented
233C2×#398C2214yescomplemented
234C2×#395C2212yescomplemented
235#2376C2214yes—
236#2359C2214yes—
237#2359C2214yescomplemented
238#2349C2214yes—
239#2345C2212yes—
240#2344C2214yescomplemented
241#2342C2212yes—
242#2342C2212yes—
243#2339C2214yes—
244D4×C22⋊C4C2212yes—
245#2335C2214yes—
246#2322C2212yes—
247#2322C2212yes—
248#2322C2214yes—
249#2322C2212yes—
250#2322C2212yes—
251#2317C2212yescomplemented
252#2316C2211yescharacteristic
253#2316C2212yescomplemented
254#2315C2211yescharacteristic
255#2315C2212yes—
256#2313C2211yescharacteristic
257#2312C2211yescharacteristic
258#2311C2212yescomplemented
259#2310C2212yes—
260#2310C2212yescomplemented
261C4×#123C2212yes—
262C4×#123C2212yes—
263#2296C2212yes—
264C2×#385C2212yes—
265#2280C2211yescharacteristic
266C2×#381C2212yes—
267C2×#381C2212yes—
268C2×#380C2211yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C23×Q8C2311yescharacteristic
272C23×Q8C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278#563—216no—
279#562—216no—
280#554—216no—
281#552—232no—
282#552—232no—
283#552—232no—
284#552—232no—
285#552—216no—
286#551—216no—
287#551—216no—
288#547—216no—
289#546—216no—
290#544—28no—
291#543—28no—
292#542—216no—
293#539—216no—
294#539—216no—
295#539—28no—
296#538—28no—
297#536—216no—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2312yes—
301C2×#126—28no—
302C2×#126—28no—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#125—28no—
314C2×#125—28no—
315C2×#125—28no—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331#525—28no—
332C2×#123—28no—
333C2×#123D4116yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×C22⋊Q8—28no—
356C2×C22⋊Q8—28no—
357C2×C22⋊Q8—28no—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
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⋊Q8C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#120C2312yes—
389C2×#120C2312yes—
390C2×C4×Q8—28no—
391C2×C4×Q8C2314yes—
392C2×C4×Q8C2314yes—
393C2×C4×Q8C2312yes—
394C2×C4×D4—28no—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×#117—28no—
406C2×#117—28no—
407C2×#117—28no—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2314yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C22×C4⋊C4—28no—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2314yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465#400C2312yes—
466#400C2312yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2314yes—
474#400C2312yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#399C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2312yes—
492#398C2312yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2312yes—
540#395C2312yes—
541#395C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2312yes—
545#395C2312yes—
546#395C2314yes—
547#395C2312yes—
548#395C2312yes—
549#395C2314yes—
550#395C2314yes—
551#394C2312yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#393C2314yes—
560#393C2314yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2314yes—
574#391C2314yes—
575#391C2314yes—
576#391C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
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#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#384C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2314yes—
709#381C2312yes—
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#379C2312yes—
753#379C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C2×#95C2314yes—
770C2×#95C2314yes—
771C2×#95C2312yes—
772C2×#95C2314yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C2×#41—28no—
776C2×#41—24no—
777C2×#41—44no—
778C2×#41—48no—
779C22×Q8—24no—
780C22×Q8—24no—
781C22×Q8—24no—
782C22×Q8—42no—
783C22×Q8—44no—
784C22×Q8C2414yes—
785C22×Q8C2412yes—
786C22×Q8C2411yescharacteristic
787C22×Q8C2412yes—
788C22×Q8C2411yescharacteristic
789C22×Q8C2411yescharacteristic
790C22×Q8C2412yes—
791C22×D4—44no—
792C22×D4C2×D418yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2411yescharacteristic
800C22×D4C2412yes—
801C23×C4—24no—
802C23×C4—24no—
803C23×C4—24no—
804C23×C4—24no—
805C23×C4—24no—
806C23×C4—44no—
807C23×C4—42no—
808C23×C4—42no—
809C23×C4—44no—
810C23×C4C2×D418yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2414yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C4⋊Q8—28no—
843C4⋊Q8—28no—
844C4⋊Q8—28no—
845#126—28no—
846#126—216no—
847#126—216no—
848#126—216no—
849#126—216no—
850#126—28no—
851#126—28no—
852#126—28no—
853#126—28no—
854#126—28no—
855#125—216no—
856#125—216no—
857#125—216no—
858#125—216no—
859#125—216no—
860#125—216no—
861#125—28no—
862#125—28no—
863#125—28no—
864#125—28no—
865#125—28no—
866#124—28no—
867#124—28no—
868#124—28no—
869#124—28no—
870#123—216no—
871#123—216no—
872#123—28no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—28no—
880#123—28no—
881#123—28no—
882#123—28no—
883#123—44no—
884#123—44no—
885#123—44no—
886#123—48no—
887#123C2×D4116yes—
888#123C2×D4116yes—
889#123C2×D4116yes—
890#123C2×D4116yes—
891C22⋊Q8—24no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—216no—
906C22⋊Q8—216no—
907C22⋊Q8—216no—
908C22⋊Q8—216no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—24no—
919#121—24no—
920#121—28no—
921#120—28no—
922#120—28no—
923C4×Q8—216no—
924C4×Q8—216no—
925C4×Q8—28no—
926C4×D4—216no—
927C4×D4—216no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—48no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—24no—
941#117—28no—
942#117—216no—
943#117—216no—
944#117—216no—
945#117—216no—
946#117—28no—
947#117—28no—
948#117—44no—
949#117—44no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—28no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4C2×D418yes—
974C2×C4⋊C4C2×D418yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—24no—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—28no—
1052C2×C22⋊C4—28no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4C2×D418yes—
1056C2×C22⋊C4C2×D418yes—
1057C2×C22⋊C4C2×D418yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—24no—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
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—
1179C24—22no—
1180C24—22no—
1181C24—24no—
1182C24—22no—
1183C24—22no—
1184C24—42no—
1185C24—42no—
1186C24—42no—
1187C24C22×D414yes—
1188C24C22×D414yes—
1189C24C2512yes—
1190C24C2511yescharacteristic
1191C24C2512yes—
1192C24C2511yescharacteristic
1193C24C2511yescharacteristic
1194#41—88no—
1195#41—816no—
1196C2×Q8—28no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—28no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—42no—
1211C2×Q8—416no—
1212C2×Q8—88no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—416no—
1229C2×D4C22×D418yes—
1230C2×D4C22×D418yes—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—28no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—416no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—416no—
1295C22×C4—416no—
1296C22×C4—416no—
1297C22×C4C22×D414yes—
1298C22×C4C22×D414yes—
1299C22×C4C22×D414yes—
1300C22×C4C22×D414yes—
1301C22×C4C22×D414yes—
1302C22×C4C22×D414yes—
1303C22×C4C22×D414yes—
1304C22×C4C22×D414yes—
1305C22×C4C22×D414yes—
1306C22×C42−1+414yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4C22×D418yes—
1401C4⋊C4C22×D418yes—
1402C4⋊C4C22×D418yes—
1403C4⋊C4C22×D418yes—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4C22×D418yes—
1447C22⋊C4C22×D418yes—
1448C22⋊C4C22×D418yes—
1449C22⋊C4C22×D418yes—
1450C22⋊C4C22×D418yes—
1451C22⋊C4C22×D418yes—
1452C42—28no—
1453C42—24no—
1454C42—24no—
1455C42—28no—
1456C42—24no—
1457C42—24no—
1458C42—28no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—28no—
1482C23—28no—
1483C23—28no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—24no—
1488C23—24no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—48no—
1493C23—48no—
1494C23—84no—
1495C23—84no—
1496C23C23×D414yes—
1497C23C23×D412yes—
1498C23C23×D412yes—
1499C23C23×D412yes—
1500C23C2×2−1+412yes—
1501C23#58514yes—
1502C23#58512yes—
1503C23C2611yescharacteristic
1504Q8—416no—
1505Q8—84no—
1506Q8—82no—
1507Q8—84no—
1508Q8—82no—
1509Q8—82no—
1510Q8—84no—
1511D4—216no—
1512D4—48no—
1513D4—48no—
1514D4—48no—
1515D4—82no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—28no—
1530C2×C4—28no—
1531C2×C4—28no—
1532C2×C4—28no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—416no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—84no—
1605C2×C4—164no—
1606C2×C4C23×D414yes—
1607C2×C4C23×D412yes—
1608C2×C4C23×D412yes—
1609C2×C4C23×D414yes—
1610C2×C4C23×D414yes—
1611C2×C4C23×D412yes—
1612C2×C4C23×D412yes—
1613C2×C4C2×2−1+414yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—22no—
1623C22—24no—
1624C22—22no—
1625C22—24no—
1626C22—24no—
1627C22—22no—
1628C22—416no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—44no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—44no—
1637C22—44no—
1638C22—88no—
1639C22#348514yes—
1640C22#348914yes—
1641C22C24×D411yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58512yes—
1644C22C2×#58511yescharacteristic
1645C222−1+612yes—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—24no—
1652C4—24no—
1653C4—24no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—44no—
1670C4—44no—
1671C4—44no—
1672C2—24no—
1673C2—24no—
1674C2—42no—
1675C2—44no—
1676C2—82no—
1677C2C2×#348511yescharacteristic
1678C2C2×#348911yescharacteristic
1679C2#6285911yescharacteristic
1680C2#6290912yes—
1681C2#6292812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3535C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C22×#552C2semidirect
3. #50181C2semidirect
4. #48836C2semidirect
5. #48829C2semidirect
6. #48788C2semidirect
7. #44761C2semidirect
8. #44494C2semidirect
9. #44475C2semidirect
10. #44461C2semidirect
11. #39589C2semidirect
12. #39122C2semidirect
13. #38046C2semidirect
14. #38038C2semidirect
15. #37835C2semidirect
16. #37835C2semidirect
17. #36970C2semidirect
18. #36968C2semidirect
19. #36960C2semidirect
20. #36959C2semidirect
21. #36341C2semidirect
22. #36155C2semidirect
23. #35311C2semidirect
24. #35263C2semidirect
25. #35154C2semidirect
26. #35093C2semidirect
27. #35092C2semidirect
28. #35090C2semidirect
29. #35057C2semidirect
30. C2×#2627C2semidirect
31. #34376C2semidirect
85. #2726C22semidirect
86. #2726C22semidirect
87. #2725C22semidirect
89. #2722C22semidirect
90. #2722C22semidirect
91. #2720C22semidirect
92. #2719C22semidirect
93. #2719C22semidirect
94. #2719C22semidirect
95. #2719C22semidirect
96. #2718C22semidirect
98. #2715C22semidirect
99. #2713C22semidirect
100. #2713C22semidirect
101. #2713C22semidirect
103. #2707C22semidirect
104. #2704C22semidirect
105. #2704C22semidirect
107. #2700C22semidirect
108. #2700C22semidirect
109. #2698C22semidirect
110. #2698C22semidirect
111. #2698C22semidirect
112. #2698C22semidirect
113. #2695C22semidirect
114. #2695C22semidirect
115. #2691C22semidirect
116. #2690C22semidirect
117. #2690C22semidirect
118. #2689C22semidirect
119. #2689C22semidirect
120. #2689C22semidirect
121. #2689C22semidirect
122. #2689C22semidirect
123. #2687C22semidirect
124. #2687C22semidirect
135. #2627C22semidirect
136. #2627C22semidirect
137. #2627C22semidirect
138. #2625C22semidirect
139. #2625C22semidirect
140. #2625C22semidirect
141. #2624C22semidirect
146. #2591C22semidirect
149. #2583C22semidirect
152. #2579C22semidirect
153. #2556C22semidirect
154. #2550C22semidirect
155. #2549C22semidirect
156. #2549C22semidirect
157. #2521C22semidirect
158. #2506C22semidirect
163. #2499C22semidirect
164. #2498C22semidirect
165. #2496C22semidirect
166. #2489C22semidirect
167. #2488C22semidirect
168. #2488C22semidirect
174. #2485C22semidirect
177. #2484C22semidirect
178. #2484C22semidirect
183. #2478C22semidirect
184. #2478C22semidirect
185. #2478C22semidirect
186. #2478C22semidirect
187. #2476C22semidirect
188. #2474C22semidirect
189. #2474C22semidirect
190. #2473C22semidirect
191. #2470C22semidirect
192. #2470C22semidirect
193. #2469C22semidirect
194. #2468C22semidirect
195. #2465C22semidirect
196. #2462C22semidirect
197. #2462C22semidirect
198. #2458C22semidirect
199. #2453C22semidirect
200. #2453C22semidirect
201. #2453C22semidirect
202. #2451C22semidirect
203. #2451C22semidirect
204. #2450C22semidirect
205. #2450C22semidirect
209. #2442C22semidirect
210. #2438C22semidirect
211. #2438C22semidirect
212. #2438C22semidirect
213. #2438C22semidirect
214. #2438C22semidirect
215. #2438C22semidirect
216. #2438C22semidirect
224. #2413C22semidirect
225. #2413C22semidirect
231. #2406C22semidirect
232. C2×#400C22semidirect
233. C2×#398C22semidirect
234. C2×#395C22semidirect
237. #2359C22semidirect
240. #2344C22semidirect
251. #2317C22semidirect
253. #2316C22semidirect
258. #2311C22semidirect
260. #2310C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
C22×#5522
#501812
#488362
#488292
#487882
#447612
#444942
#444752
#444612
#395892
#391222
#380462
#380382
#378352
#369702
#369682
#369602
#369592
#363412
#361552
#353112
#352632
#351542
#350932
#350922
#350902
#350572
C2×#26272
#343762