Finite Group Databasebeta

← #7652089

Subgroups — #7652089

Order 512.

8290 conjugacy classes of subgroups.

The subgroup lattice has 2011 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3497C211yesmaximal, characteristic, complemented
3#42927C212yesmaximal, complemented
4#42926C212yesmaximal, complemented
5#42913C212yesmaximal, complemented
6#42912C212yesmaximal, complemented
7#42807C212yesmaximal, complemented
8#42806C212yesmaximal, complemented
9#42797C212yesmaximal, complemented
10#42787C212yesmaximal, complemented
11#42149C214yesmaximal, complemented
12#41937C214yesmaximal, complemented
13#39961C212yesmaximal, complemented
14#39956C212yesmaximal, complemented
15#39865C212yesmaximal, complemented
16#39864C212yesmaximal, complemented
17#39721C212yesmaximal, complemented
18#39615C212yesmaximal, complemented
19#39593C212yesmaximal, complemented
20#39166C212yesmaximal, complemented
21#38369C214yesmaximal, complemented
22#38369C214yesmaximal, complemented
23#35666C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35660C211yesmaximal, characteristic, complemented
26#35660C211yesmaximal, characteristic, complemented
27#35621C211yesmaximal, characteristic, complemented
28#35564C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34744C211yesmaximal, characteristic, complemented
34C2×#2446C211yesmaximal, characteristic, complemented
35#34259C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×2−1+4C2211yescharacteristic
38C22×2−1+4C2211yescharacteristic
39#3499—216no—
40#3497—216no—
41C2×#550C2212yes—
42C2×#550C2212yes—
43C2×D4×Q8C2212yes—
44C2×D4×Q8C2212yes—
45C2×D4×Q8C2212yes—
46C2×D4×Q8C2212yes—
47C2×#548C2212yes—
48C2×#548C2212yes—
49C2×#548C2212yes—
50C2×#548C2212yes—
51C2×#547C2212yes—
52C2×#547C2212yes—
53C2×#547C2214yes—
54C2×#547C2214yes—
55C2×#537C2211yescharacteristic
56C2×#537C2214yes—
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic
59C2×#536C2212yes—
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#536C2212yes—
63C2×#536C2211yescharacteristic
64C2×#536C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#532C2214yes—
68C2×#532C2211yescharacteristic
69C2×#532C2212yes—
70C2×#532C2211yescharacteristic
71C22×C4⋊Q8C2212yes—
72C22×C4⋊Q8C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2857C2212yes—
78#2855C2212yes—
79#2854C2212yes—
80#2853C2214yes—
81#2850C2212yes—
82#2817C2214yes—
83#2816C2214yes—
84#2814C2214yes—
85#2813C2214yes—
86#2734C2214yes—
87#2734C2214yes—
88#2732C2214yes—
89#2732C2214yes—
90#2731C2214yes—
91#2731C2214yes—
92#2730C2214yes—
93#2730C2214yes—
94#2729C2214yes—
95#2729C2214yes—
96#2729C2214yes—
97#2729C2214yes—
98#2729C2214yes—
99#2729C2214yes—
100#2728C2214yes—
101#2728C2214yes—
102#2717C2214yes—
103#2717C2214yes—
104#2709C2214yes—
105#2709C2214yes—
106#2708C2214yes—
107#2708C2214yes—
108#2708C2214yes—
109#2708C2214yes—
110#2688C2214yes—
111#2688C2214yes—
112#2686C2214yes—
113#2686C2214yes—
114#2673C2214yes—
115#2673C2214yes—
116#2671C2214yes—
117#2671C2214yes—
118#2663C2214yes—
119#2661C2214yes—
120#2659C2214yes—
121#2639C2214yes—
122#2638C2214yes—
123#2638C2214yes—
124#2638C2214yes—
125#2635C2214yes—
126#2630C2214yes—
127#2630C2214yes—
128#2627C2214yes—
129#2625C2212yes—
130#2624C2212yes—
131#2623C2214yes—
132#2621C2212yes—
133#2620C2212yes—
134#2618C2214yes—
135#2602C2214yes—
136#2602C2214yes—
137#2600C2214yes—
138#2600C2214yes—
139#2591C2214yes—
140#2583C2214yes—
141#2579C2214yes—
142#2579C2214yes—
143#2564C2214yes—
144#2564C2214yes—
145#2564C2214yes—
146#2548C2211yescharacteristic
147#2547C2212yes—
148#2547C2211yescharacteristic
149#2546C2212yes—
150#2546C2211yescharacteristic
151#2545C2211yescharacteristic
152#2545C2212yes—
153#2545C2211yescharacteristic
154#2544C2212yes—
155#2544C2211yescharacteristic
156#2544C2211yescharacteristic
157#2543C2212yes—
158#2543C2212yes—
159#2543C2214yes—
160#2543C2214yes—
161#2541C2211yescharacteristic
162#2448C2212yes—
163#2448C2212yes—
164#2448C2211yescharacteristic
165#2448C2211yescharacteristic
166#2447C2211yescharacteristic
167#2447C2211yescharacteristic
168#2446C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2446C2211yescharacteristic
176#2446C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2446C2211yescharacteristic
180#2445C2211yescharacteristic
181#2445C2211yescharacteristic
182#2444C2212yes—
183#2444C2214yes—
184#2444C2212yes—
185#2443C2214yes—
186#2443C2212yes—
187#2443C2212yes—
188#2436C2212yes—
189#2436C2212yes—
190#2436C2212yes—
191#2434C2212yes—
192#2434C2212yes—
193#2434C2212yes—
194#2434C2212yes—
195#2434C2212yes—
196#2434C2212yes—
197#2434C2212yes—
198#2432C2212yes—
199#2432C2212yes—
200#2432C2212yes—
201#2432C2212yes—
202#2432C2212yes—
203#2432C2212yes—
204#2432C2212yes—
205#2431C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2430C2214yes—
209#2430C2214yes—
210#2430C2214yes—
211#2430C2214yes—
212#2430C2214yes—
213#2430C2214yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2428C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2426C2212yes—
222#2425C2214yes—
223#2425C2214yes—
224#2425C2214yes—
225#2425C2214yes—
226#2423C2212yes—
227#2423C2212yes—
228#2423C2212yes—
229#2422C2212yes—
230#2421C2212yes—
231#2421C2212yes—
232#2421C2212yes—
233#2420C2212yes—
234#2417C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2214yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2414C2212yes—
245#2409C2212yes—
246#2409C2212yes—
247#2409C2212yes—
248#2409C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2406C2214yes—
258#2406C2214yes—
259#2395C2212yes—
260#2395C2212yes—
261C2×#400C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264C2×#398C2212yes—
265Q8×C22⋊C4C2212yes—
266Q8×C22⋊C4C2212yes—
267#2339C2212yes—
268#2339C2212yes—
269#2339C2214yes—
270#2339C2214yes—
271#2325C2214yes—
272#2325C2214yes—
273#2322C2214yes—
274#2322C2214yes—
275#2317C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2212yes—
280#2310C2212yes—
281#2310C2211yescharacteristic
282C4×#123C2212yes—
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2212yes—
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2297C2211yescharacteristic
291#2297C2211yescharacteristic
292#2296C2211yescharacteristic
293C2×#391C2211yescharacteristic
294C2×#391C2211yescharacteristic
295C2×#391C2211yescharacteristic
296C2×#391C2212yes—
297C2×#389C2211yescharacteristic
298C2×#387C2212yes—
299C2×#387C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—44no—
304C2×2−1+4—44no—
305C2×2−1+4—44no—
306C2×2−1+4—44no—
307C2×2−1+4—44no—
308C2×2−1+4—44no—
309C2×2−1+4D4116yescomplemented
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2311yescharacteristic
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2314yes—
316C22×#41C2312yes—
317C22×#41C2312yes—
318C22×#41C2312yes—
319C22×#41C2314yes—
320C22×#41C2312yes—
321C22×#41C2312yes—
322C22×#41C2312yes—
323C22×#41C2314yes—
324C23×Q8C2311yescharacteristic
325C23×Q8C2311yescharacteristic
326C23×Q8C2312yes—
327C23×Q8C2312yes—
328C23×Q8C2312yes—
329C23×Q8C2312yes—
330C23×Q8C2312yes—
331C23×Q8C2312yes—
332#550—216no—
333#550—216no—
334D4×Q8—216no—
335D4×Q8—216no—
336D4×Q8—216no—
337D4×Q8—216no—
338#548—216no—
339#548—216no—
340#548—216no—
341#548—216no—
342#547—232no—
343#547—232no—
344#547—216no—
345#547—216no—
346#537—28no—
347#537—28no—
348#537—232no—
349#537—44no—
350#536—28no—
351#536—216no—
352#536—28no—
353#536—216no—
354#536—44no—
355#536—44no—
356#532—28no—
357#532—28no—
358#532—232no—
359#532—28no—
360#532—216no—
361#532—44no—
362C2×C4⋊Q8—28no—
363C2×C4⋊Q8—216no—
364C2×C4⋊Q8C2311yescharacteristic
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2312yes—
367C2×C4⋊Q8C2312yes—
368C2×C4⋊Q8C2312yes—
369C2×C4⋊Q8C2312yes—
370C2×C4⋊Q8C2312yes—
371C2×C4⋊Q8C2314yes—
372C2×C4⋊Q8C2314yes—
373C2×C4⋊Q8C2311yescharacteristic
374C2×C4⋊Q8C2314yes—
375C2×C4⋊Q8C2311yescharacteristic
376C2×C4⋊Q8C2312yes—
377C2×C4⋊Q8C2311yescharacteristic
378C2×C4⋊Q8C2312yes—
379C2×#127C2314yes—
380C2×#127C2311yescharacteristic
381C2×#127C2311yescharacteristic
382C2×#127C2311yescharacteristic
383C2×#127C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2314yes—
389C2×#124C2311yescharacteristic
390C2×#124C2311yescharacteristic
391C2×#124C2314yes—
392C2×#124C2311yescharacteristic
393C2×#124C2311yescharacteristic
394C2×#124C2312yes—
395C2×#124C2311yescharacteristic
396C2×#124C2311yescharacteristic
397C2×#124C2312yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×#123C2314yes—
406C2×#123C2312yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2314yes—
456C2×#121C2312yes—
457#520—44no—
458C4×#41—28no—
459C4×#41—44no—
460C2×C4×Q8—28no—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2314yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C42C2312yes—
512C22×C42C2312yes—
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517#400C2312yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#399C2312yes—
527#399C2314yes—
528#399C2312yes—
529#399C2314yes—
530#399C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2312yes—
543#398C2314yes—
544#398C2312yes—
545#398C2314yes—
546#398C2312yes—
547#397C2312yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2312yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#396C2312yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2312yes—
570#396C2314yes—
571#396C2314yes—
572#396C2312yes—
573#396C2314yes—
574#396C2312yes—
575#395C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#394C2312yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2312yes—
609#394C2314yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2314yes—
619#393C2314yes—
620#392C2312yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2312yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2314yes—
637#391C2314yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2314yes—
644#391C2314yes—
645#391C2311yescharacteristic
646#391C2311yescharacteristic
647#391C2312yes—
648#391C2311yescharacteristic
649#391C2311yescharacteristic
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2311yescharacteristic
654#391C2311yescharacteristic
655#391C2311yescharacteristic
656#391C2311yescharacteristic
657#391C2312yes—
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2312yes—
661#391C2312yes—
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2311yescharacteristic
667#390C2311yescharacteristic
668#390C2312yes—
669#390C2314yes—
670#390C2311yescharacteristic
671#390C2311yescharacteristic
672#390C2312yes—
673#390C2311yescharacteristic
674#390C2311yescharacteristic
675#390C2311yescharacteristic
676#390C2311yescharacteristic
677#390C2311yescharacteristic
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2311yescharacteristic
691#389C2311yescharacteristic
692#389C2312yes—
693#389C2311yescharacteristic
694#389C2311yescharacteristic
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2314yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2314yes—
729#387C2312yes—
730#387C2314yes—
731#387C2314yes—
732#387C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2312yes—
760#386C2314yes—
761#386C2312yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2314yes—
767#386C2312yes—
768#386C2314yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#386C2312yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2312yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2312yes—
795#385C2314yes—
796#385C2312yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#385C2312yes—
801#384C2312yes—
802#382C2312yes—
803#381C2314yes—
804#381C2314yes—
805#381C2314yes—
806#381C2312yes—
807#381C2314yes—
808#381C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2311yescharacteristic
8572−1+4—464no—
8582−1+4—464no—
8592−1+4—464no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—216no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—216no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—48no—
880C2×#41—48no—
881C2×#41—48no—
882C2×#41—48no—
883C2×#41—48no—
884C2×#41—48no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—44no—
889C2×#41—44no—
890C2×#41—44no—
891C2×#41—44no—
892C2×#41—44no—
893C2×#41—44no—
894C2×#41—44no—
895C2×#41—44no—
896C2×#41—44no—
897C2×#41C2×D418yes—
898C2×#41C2×D418yes—
899C2×#41C2×D4116yes—
900C2×#41C2×D4132yes—
901C2×#41C2×D4116yes—
902C22×Q8—28no—
903C22×Q8—28no—
904C22×Q8—28no—
905C22×Q8—28no—
906C22×Q8—24no—
907C22×Q8—24no—
908C22×Q8—24no—
909C22×Q8—24no—
910C22×Q8—24no—
911C22×Q8—44no—
912C22×Q8—44no—
913C22×Q8—44no—
914C22×Q8—44no—
915C22×Q8—44no—
916C22×Q8—44no—
917C22×Q8—44no—
918C22×Q8—44no—
919C22×Q8—44no—
920C22×Q8—44no—
921C22×Q8—44no—
922C22×Q8—44no—
923C22×Q8C2×D418yes—
924C22×Q8C2×D4116yes—
925C22×Q8C2×D4116yes—
926C22×Q8C2411yescharacteristic
927C22×Q8C2412yes—
928C22×Q8C2411yescharacteristic
929C22×Q8C2412yes—
930C22×Q8C2411yescharacteristic
931C22×Q8C2411yescharacteristic
932C22×Q8C2411yescharacteristic
933C22×Q8C2412yes—
934C22×Q8C2412yes—
935C22×Q8C2414yes—
936C22×Q8C2414yes—
937C22×Q8C2414yes—
938C22×D4C2412yes—
939C22×D4C2412yes—
940C22×D4C2412yes—
941C22×D4C2411yescharacteristic
942C22×D4C2411yescharacteristic
943C22×D4C2411yescharacteristic
944C22×D4C2412yes—
945C22×D4C2412yes—
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2411yescharacteristic
950C22×D4C2412yes—
951C22×D4C2411yescharacteristic
952C22×D4C2414yes—
953C22×D4C2412yes—
954C22×D4C2414yes—
955C22×D4C2412yes—
956C22×D4C2412yes—
957C22×D4C2414yes—
958C22×D4C2414yes—
959C22×D4C2412yes—
960C22×D4C2414yes—
961C22×D4C2414yes—
962C23×C4C2412yes—
963C23×C4C2412yes—
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971C23×C4C2411yescharacteristic
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2412yes—
975C23×C4C2412yes—
976C23×C4C2411yescharacteristic
977C23×C4C2412yes—
978C23×C4C2414yes—
979C23×C4C2411yescharacteristic
980C23×C4C2412yes—
981C23×C4C2414yes—
982C23×C4C2414yes—
983C23×C4C2414yes—
984C23×C4C2414yes—
985C23×C4C2412yes—
986C23×C4C2414yes—
987C23×C4C2414yes—
988C23×C4C2411yescharacteristic
989C4⋊Q8—28no—
990C4⋊Q8—24no—
991C4⋊Q8—28no—
992C4⋊Q8—28no—
993C4⋊Q8—28no—
994C4⋊Q8—28no—
995C4⋊Q8—28no—
996C4⋊Q8—216no—
997C4⋊Q8—216no—
998C4⋊Q8—24no—
999C4⋊Q8—24no—
1000C4⋊Q8—216no—
1001C4⋊Q8—42no—
1002C4⋊Q8—44no—
1003C4⋊Q8—44no—
1004#127—24no—
1005#127—24no—
1006#127—24no—
1007#127—216no—
1008#127—42no—
1009#124—28no—
1010#124—24no—
1011#124—24no—
1012#124—24no—
1013#124—216no—
1014#124—24no—
1015#124—28no—
1016#124—24no—
1017#124—24no—
1018#124—216no—
1019#124—42no—
1020#124—42no—
1021#124—44no—
1022#124—44no—
1023#123—216no—
1024#123—216no—
1025#123—216no—
1026#123—216no—
1027#123—216no—
1028#123—216no—
1029#123—28no—
1030#123—44no—
1031#123—48no—
1032#123—48no—
1033#123—48no—
1034C22⋊Q8—28no—
1035C22⋊Q8—28no—
1036C22⋊Q8—216no—
1037C22⋊Q8—216no—
1038C22⋊Q8—28no—
1039C22⋊Q8—28no—
1040C22⋊Q8—216no—
1041C22⋊Q8—216no—
1042C22⋊Q8—28no—
1043C22⋊Q8—28no—
1044C22⋊Q8—216no—
1045C22⋊Q8—216no—
1046C22⋊Q8—28no—
1047C22⋊Q8—28no—
1048C22⋊Q8—216no—
1049C22⋊Q8—216no—
1050C22⋊Q8—44no—
1051C22⋊Q8—44no—
1052C22⋊Q8—44no—
1053C22⋊Q8—44no—
1054C22⋊Q8—44no—
1055C22⋊Q8—44no—
1056#121—28no—
1057#121—28no—
1058#121—28no—
1059#121—216no—
1060#121—28no—
1061#121—216no—
1062#121—28no—
1063#121—28no—
1064#121—216no—
1065#121—216no—
1066#121—28no—
1067#121—28no—
1068#121—216no—
1069#121—216no—
1070#121—28no—
1071#121—28no—
1072#121—216no—
1073#121—216no—
1074#121—28no—
1075#121—48no—
1076#121—44no—
1077#121—44no—
1078#121—44no—
1079#121—44no—
1080#121—44no—
1081#121—48no—
1082C4×Q8—28no—
1083C4×Q8—28no—
1084C4×Q8—28no—
1085C4×Q8—28no—
1086C4×Q8—24no—
1087C4×Q8—24no—
1088C4×Q8—42no—
1089C4×Q8—42no—
1090C4×Q8—44no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—216no—
1098C4×D4—216no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—216no—
1102C4×D4—216no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—216no—
1106C4×D4—216no—
1107C4×D4—42no—
1108C4×D4—42no—
1109C4×D4—44no—
1110C4×D4—44no—
1111C4×D4—44no—
1112C4×D4—44no—
1113C4×D4—44no—
1114C4×D4—48no—
1115#117—28no—
1116#117—24no—
1117#117—24no—
1118#117—24no—
1119#117—44no—
1120#117—44no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—24no—
1123C2×C4⋊C4—28no—
1124C2×C4⋊C4—28no—
1125C2×C4⋊C4—216no—
1126C2×C4⋊C4—216no—
1127C2×C4⋊C4—24no—
1128C2×C4⋊C4—24no—
1129C2×C4⋊C4—42no—
1130C2×C4⋊C4—44no—
1131C2×C4⋊C4—44no—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C42—28no—
1253C2×C42—24no—
1254C2×C42—28no—
1255C2×C42—24no—
1256C2×C42—24no—
1257C2×C42—44no—
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2414yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2414yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2414yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338C24C2512yes—
1339C24C2512yes—
1340C24C2512yes—
1341C24C2512yes—
1342C24C2512yes—
1343C24C2511yescharacteristic
1344#41—232no—
1345#41—232no—
1346#41—464no—
1347#41—432no—
1348#41—432no—
1349#41—464no—
1350#41—432no—
1351#41—464no—
1352#41—432no—
1353#41—432no—
1354#41—432no—
1355#41—416no—
1356#41—416no—
1357#41—416no—
1358C2×Q8—232no—
1359C2×Q8—28no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—28no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—24no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—24no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—24no—
1375C2×Q8—24no—
1376C2×Q8—22no—
1377C2×Q8—22no—
1378C2×Q8—24no—
1379C2×Q8—24no—
1380C2×Q8—22no—
1381C2×Q8—22no—
1382C2×Q8—22no—
1383C2×Q8—22no—
1384C2×Q8—44no—
1385C2×Q8—44no—
1386C2×Q8—44no—
1387C2×Q8—44no—
1388C2×Q8—44no—
1389C2×Q8—44no—
1390C2×Q8—432no—
1391C2×Q8—432no—
1392C2×Q8—432no—
1393C2×Q8—432no—
1394C2×Q8—432no—
1395C2×Q8—432no—
1396C2×Q8—416no—
1397C2×Q8C22×D414yes—
1398C2×Q8C22×D418yes—
1399C2×Q8C22×D418yes—
1400C2×Q8C22×D414yes—
1401C2×Q8C22×D4116yes—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—28no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—28no—
1422C2×D4—24no—
1423C2×D4—28no—
1424C2×D4—28no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—42no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—42no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—42no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4C22×D418yes—
1470C2×D4C22×D414yes—
1471C2×D4C22×D418yes—
1472C2×D4C22×D414yes—
1473C2×D4C22×D4116yes—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—28no—
1486C22×C4—24no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—28no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—28no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—24no—
1510C22×C4—22no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—41no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—41no—
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—42no—
1532C22×C4—42no—
1533C22×C4—42no—
1534C22×C4—41no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—41no—
1540C22×C4—41no—
1541C22×C4—42no—
1542C22×C4—41no—
1543C22×C4—42no—
1544C22×C4—44no—
1545C22×C4—44no—
1546C22×C4—44no—
1547C22×C4C22×D418yes—
1548C22×C4C22×D418yes—
1549C22×C4C22×D418yes—
1550C22×C4C22×D4116yes—
1551C22×C4C22×D4116yes—
1552C22×C4C22×D414yes—
1553C22×C4H(5,𝔽2)14yes—
1554C22×C4H(5,𝔽2)14yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2514yes—
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2514yes—
1568C22×C4C2511yescharacteristic
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2514yes—
1573C22×C4C2512yes—
1574C22×C4C2511yescharacteristic
1575C22×C4C2512yes—
1576C22×C4C2514yes—
1577C22×C4C2512yes—
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C22×C4C2511yescharacteristic
1584C4⋊C4—28no—
1585C4⋊C4—28no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—28no—
1589C4⋊C4—28no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—28no—
1593C4⋊C4—28no—
1594C4⋊C4—28no—
1595C4⋊C4—28no—
1596C4⋊C4—28no—
1597C4⋊C4—28no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—22no—
1601C4⋊C4—22no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—28no—
1605C4⋊C4—24no—
1606C4⋊C4—28no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—22no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—22no—
1615C4⋊C4—22no—
1616C4⋊C4—22no—
1617C4⋊C4—24no—
1618C4⋊C4—22no—
1619C4⋊C4—28no—
1620C4⋊C4—22no—
1621C4⋊C4—41no—
1622C4⋊C4—41no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—42no—
1626C4⋊C4—42no—
1627C4⋊C4—44no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—44no—
1633C4⋊C4—44no—
1634C4⋊C4—44no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—42no—
1639C4⋊C42−1+414yescomplemented
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—24no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—28no—
1658C22⋊C4—24no—
1659C22⋊C4—28no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—28no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C42—22no—
1705C42—24no—
1706C42—22no—
1707C42—24no—
1708C42—24no—
1709C42—22no—
1710C42—22no—
1711C42—28no—
1712C42—22no—
1713C42—22no—
1714C42—28no—
1715C42—22no—
1716C42—22no—
1717C42—22no—
1718C42—22no—
1719C42—22no—
1720C42—22no—
1721C42—24no—
1722C42—24no—
1723C42—42no—
1724C42—42no—
1725C42—44no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23C23×D414yes—
1764C23C23×D414yes—
1765C23C23×D412yes—
1766C23C2×H(5,𝔽2)12yes—
1767C23C2×H(5,𝔽2)12yes—
1768C23C2611yescharacteristic
1769Q8—216no—
1770Q8—216no—
1771Q8—28no—
1772Q8—28no—
1773Q8—416no—
1774Q8—416no—
1775Q8—416no—
1776Q8—44no—
1777Q8—48no—
1778Q8—44no—
1779Q8—48no—
1780Q8—44no—
1781D4—216no—
1782D4—216no—
1783D4—28no—
1784D4—28no—
1785D4—416no—
1786D4—48no—
1787D4—48no—
1788D4—48no—
1789D4—48no—
1790D4—416no—
1791D4—416no—
1792D4—48no—
1793D4—48no—
1794D4—48no—
1795D4—44no—
1796D4—44no—
1797D4—44no—
1798D4—84no—
1799D4—88no—
1800D4—84no—
1801D4—84no—
1802D4—88no—
1803D4—84no—
1804D4—164no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—216no—
1820C2×C4—216no—
1821C2×C4—216no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—21no—
1862C2×C4—24no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—24no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—24no—
1881C2×C4—21no—
1882C2×C4—416no—
1883C2×C4—416no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—44no—
1888C2×C4—48no—
1889C2×C4—44no—
1890C2×C4—416no—
1891C2×C4—416no—
1892C2×C4—416no—
1893C2×C4—416no—
1894C2×C4—48no—
1895C2×C4—48no—
1896C2×C4—48no—
1897C2×C4—48no—
1898C2×C4—84no—
1899C2×C4—82no—
1900C2×C4—84no—
1901C2×C4—82no—
1902C2×C4—84no—
1903C2×C4—84no—
1904C2×C4—164no—
1905C2×C4#534116yes—
1906C2×C4C23×D414yes—
1907C2×C4C23×D418yes—
1908C2×C4C23×D414yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D412yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4C2×H(5,𝔽2)12yes—
1915C2×C4C2×2−1+412yes—
1916C2×C4C2×2−1+412yes—
1917C2×C4C2×2−1+412yes—
1918C2×C4#58512yes—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—24no—
1926C22—24no—
1927C22—24no—
1928C22—24no—
1929C22—24no—
1930C22—24no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22C2×#53414yes—
1961C22C24×D411yescharacteristic
1962C22C22×H(5,𝔽2)11yescharacteristic
1963C22C22×H(5,𝔽2)11yescharacteristic
1964C22C22×2−1+411yescharacteristic
1965C22C2×#58511yescharacteristic
1966C222−1+611yescharacteristic
1967C222−1+611yescharacteristic
1968C4—22no—
1969C4—22no—
1970C4—22no—
1971C4—22no—
1972C4—24no—
1973C4—28no—
1974C4—24no—
1975C4—41no—
1976C4—42no—
1977C4—41no—
1978C4—42no—
1979C4—41no—
1980C4—41no—
1981C4—44no—
1982C4—41no—
1983C4—41no—
1984C4—42no—
1985C4—42no—
1986C4—41no—
1987C4—41no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—44no—
1992C4—44no—
1993C4—42no—
1994C4—42no—
1995C4C2×#53414yes—
1996C4C2×#53414yes—
1997C2—24no—
1998C2—44no—
1999C2—44no—
2000C2—82no—
2001C2—82no—
2002C2—82no—
2003C2C22×#53411yescharacteristic
2004C2#6283511yescharacteristic
2005C2#6288811yescharacteristic
2006C2#6293111yescharacteristic
2007C2#6294611yescharacteristic
2008C2D4×2−1+411yescharacteristic
2009C2#6300211yescharacteristic
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×#3499C2semidirect
2. C2×#3497C2semidirect
3. #42927C2semidirect
4. #42926C2semidirect
5. #42913C2semidirect
6. #42912C2semidirect
7. #42807C2semidirect
8. #42806C2semidirect
9. #42797C2semidirect
10. #42787C2semidirect
11. #42149C2semidirect
12. #41937C2semidirect
13. #39961C2semidirect
14. #39956C2semidirect
15. #39865C2semidirect
16. #39864C2semidirect
17. #39721C2semidirect
18. #39615C2semidirect
19. #39593C2semidirect
20. #39166C2semidirect
21. #38369C2semidirect
22. #38369C2semidirect
23. #35666C2semidirect
24. #35660C2semidirect
25. #35660C2semidirect
26. #35660C2semidirect
27. #35621C2semidirect
28. #35564C2semidirect
29. #35308C2semidirect
30. #35255C2semidirect
31. #35182C2semidirect
32. #34937C2semidirect
33. #34744C2semidirect
34. C2×#2446C2semidirect
35. #34259C2semidirect
309. C2×2−1+4D4semidirect
1639. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
C2×#34972
#429272
#429262
#429132
#429122
#428072
#428062
#427972
#427872
#421492
#419372
#399612
#399562
#398652
#398642
#397212
#396152
#395932
#391662
#383692
#356662
#356602
#356212
#355642
#353082
#352552
#351822
#349372
#347442
C2×#24462
#342592