Finite Group Databasebeta

← #7652161

Subgroups — #7652161

Order 512.

6457 conjugacy classes of subgroups.

The subgroup lattice has 1801 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic
2C2×#3502C211yesmaximal, characteristic, complemented
3#42891C212yesmaximal, complemented
4#42888C212yesmaximal, complemented
5#42879C212yesmaximal, complemented
6#42814C212yesmaximal, complemented
7#42813C212yesmaximal, complemented
8#42804C212yesmaximal, complemented
9#42801C212yesmaximal, complemented
10#42789C212yesmaximal, complemented
11#41953C214yesmaximal, complemented
12#41939C214yesmaximal, complemented
13#39955C212yesmaximal, complemented
14#39955C212yesmaximal, complemented
15#39859C212yesmaximal, complemented
16#39855C212yesmaximal, complemented
17#39744C212yesmaximal, complemented
18#39617C212yesmaximal, complemented
19#39597C212yesmaximal, complemented
20#39139C212yesmaximal, complemented
21#38371C214yesmaximal, complemented
22#38370C214yesmaximal, complemented
23#35673C211yesmaximal, characteristic, complemented
24#35672C211yesmaximal, characteristic, complemented
25#35566C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic
27#35532C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#35275C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic
33#34739C211yesmaximal, characteristic, complemented
34C2×#2423C211yesmaximal, characteristic, complemented
35#34254C211yesmaximal, characteristic, complemented
36#3502—216no—
37#3495—216no—
38C2×Q82C2212yescomplemented
39C2×Q82C2212yescomplemented
40C2×#557C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#557C2212yescomplemented
43C2×#557C2212yescomplemented
44C2×#557C2212yescomplemented
45C2×#557C2212yescomplemented
46C2×#556C2212yes—
47C2×#554C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#552C2214yes—
51C2×#551C2214yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2214yes—
55C2×#544C2211yescharacteristic
56C2×#542C2212yes—
57C2×#541C2212yes—
58C2×#536C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2214yes—
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C2×#529C2212yes—
64C2×#525C2211yescharacteristic
65C22×C22⋊Q8C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#519C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C22×C4×Q8C2211yescharacteristic
70C22×#117C2211yescharacteristic
71#2868C2212yescomplemented
72#2859C2212yescomplemented
73#2857C2212yes—
74#2853C2214yes—
75#2851C2212yes—
76#2822C2214yescomplemented
77#2821C2214yes—
78#2821C2214yescomplemented
79#2820C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2721C2214yes—
83#2721C2214yescomplemented
84#2721C2214yescomplemented
85#2721C2214yescomplemented
86#2719C2214yescomplemented
87#2719C2214yescomplemented
88#2719C2214yescomplemented
89#2719C2214yescomplemented
90#2716C2214yes—
91#2716C2214yescomplemented
92#2713C2214yescomplemented
93#2713C2214yescomplemented
94#2713C2214yescomplemented
95#2713C2214yescomplemented
96#2694C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2694C2214yes—
100#2690C2214yes—
101#2690C2214yescomplemented
102#2677C2214yes—
103#2677C2214yes—
104#2677C2214yes—
105#2677C2214yescomplemented
106#2677C2214yescomplemented
107#2677C2214yescomplemented
108#2674C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2664C2214yes—
113#2664C2214yescomplemented
114#2660C2212yescomplemented
115#2660C2212yescomplemented
116#2660C2214yescomplemented
117#2658C2214yes—
118#2637C2214yes—
119#2637C2214yescomplemented
120#2634C2214yescomplemented
121#2634C2214yescomplemented
122#2633C2214yes—
123#2632C2214yes—
124#2629C2212yes—
125#2628C2212yes—
126#2628C2214yes—
127#2623C2214yes—
128#2621C2214yescomplemented
129#2611C2214yes—
130#2611C2214yescomplemented
131#2604C2214yes—
132#2604C2214yescomplemented
133#2599C2214yes—
134#2599C2214yescomplemented
135#2584C2212yescomplemented
136#2584C2212yescomplemented
137#2582C2212yescomplemented
138#2581C2212yescomplemented
139#2581C2214yescomplemented
140#2580C2212yescomplemented
141#2567C2212yescomplemented
142#2567C2212yescomplemented
143#2566C2212yescomplemented
144#2565C2212yescomplemented
145#2565C2214yescomplemented
146#2563C2212yes—
147#2562C2212yes—
148#2562C2212yes—
149#2552C2212yescomplemented
150#2552C2212yescomplemented
151#2552C2212yescomplemented
152#2551C2212yescomplemented
153#2551C2212yescomplemented
154#2551C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2549C2214yes—
158#2547C2212yes—
159#2546C2212yescomplemented
160#2546C2214yescomplemented
161#2545C2214yes—
162#2542C2214yes—
163#2542C2212yescomplemented
164#2538C2212yescomplemented
165#2536C2214yes—
166#2498C2214yes—
167#2498C2214yes—
168#2492C2211yescharacteristic
169#2492C2211yescharacteristic
170#2492C2212yes—
171#2491C2211yescharacteristic
172#2491C2212yes—
173#2491C2211yescharacteristic
174#2490C2211yescharacteristic
175#2490C2212yes—
176#2490C2211yescharacteristic
177#2489C2212yes—
178#2489C2211yescharacteristic
179#2489C2211yescharacteristic
180#2488C2212yes—
181#2488C2214yes—
182#2488C2212yes—
183#2484C2214yes—
184#2482C2214yes—
185#2472C2214yes—
186#2472C2212yes—
187#2472C2212yes—
188#2450C2214yes—
189#2449C2214yes—
190#2449C2214yes—
191#2449C2214yes—
192#2448C2212yescomplemented
193#2448C2212yescomplemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2446C2212yescomplemented
197#2446C2212yescomplemented
198#2446C2212yescomplemented
199#2446C2212yescomplemented
200#2442C2212yes—
201#2442C2211yescharacteristic
202#2442C2211yescharacteristic
203#2442C2212yescomplemented
204#2441C2211yescharacteristic
205#2441C2211yescharacteristic
206#2441C2212yes—
207#2441C2212yescomplemented
208#2441C2212yescomplemented
209#2441C2212yescomplemented
210#2440C2211yescharacteristic
211#2440C2212yes—
212#2440C2211yescharacteristic
213#2440C2214yes—
214#2440C2214yes—
215#2440C2214yes—
216#2440C2212yescomplemented
217#2440C2212yescomplemented
218#2440C2212yescomplemented
219#2439C2212yes—
220#2439C2211yescharacteristic
221#2439C2211yescharacteristic
222#2439C2212yescomplemented
223#2438C2212yes—
224#2438C2212yes—
225#2438C2214yes—
226#2437C2212yes—
227#2437C2212yes—
228#2437C2214yes—
229#2423C2212yes—
230#2423C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2423C2212yes—
239#2423C2212yes—
240#2423C2212yes—
241#2423C2212yescomplemented
242#2423C2212yescomplemented
243#2423C2212yescomplemented
244#2423C2212yescomplemented
245#2421C2212yes—
246#2421C2212yes—
247#2421C2212yes—
248#2421C2212yes—
249#2421C2212yescomplemented
250#2421C2212yescomplemented
251#2421C2212yescomplemented
252#2421C2212yescomplemented
253#2398C2212yes—
254#2398C2212yes—
255#2396C2212yes—
256#2396C2212yes—
257C2×#399C2212yes—
258C2×#398C2212yes—
259#2356C2212yescomplemented
260#2356C2212yescomplemented
261#2355C2212yescomplemented
262#2355C2212yescomplemented
263#2343C2214yes—
264#2343C2214yes—
265#2327C2214yescomplemented
266#2326C2214yes—
267#2323C2214yes—
268#2323C2214yescomplemented
269#2320C2212yescomplemented
270#2320C2212yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2310C2211yescharacteristic
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2295C2212yescomplemented
288#2295C2212yescomplemented
289C2×#391C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#388C2212yes—
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C24×C4C2311yescharacteristic
304Q82—216no—
305Q82—216no—
306#557—216no—
307#557—216no—
308#557—216no—
309#557—216no—
310#557—216no—
311#557—216no—
312#556—216no—
313#554—216no—
314#552—216no—
315#552—216no—
316#552—232no—
317#551—232no—
318#544—28no—
319#544—28no—
320#544—28no—
321#544—232no—
322#542—216no—
323#541—216no—
324#536—28no—
325#533—216no—
326#533—28no—
327#533—28no—
328#533—232no—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2314yes—
349#529—216no—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2314yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2314yes—
378#525—28no—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8—28no—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×#121C2311yescharacteristic
408C2×#121C2311yescharacteristic
409C2×#120C2312yes—
410#520—28no—
411#519—28no—
412#519D4116yes—
413C2×C4×Q8—28no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2314yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2314yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2314yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×#117—28no—
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2314yes—
448C2×#117C2314yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2314yes—
454C2×#117C2312yes—
455C2×#117C2311yescharacteristic
456C2×#117C2314yes—
457C2×#117C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2312yes—
474C22×C42C2312yes—
475C22×C42C2312yes—
476C22×C42C2311yescharacteristic
477C22×C42C2311yescharacteristic
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2312yes—
483#400C2314yes—
484#400C2312yes—
485#400C2314yes—
486#400C2314yes—
487#400C2312yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2312yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2312yes—
509#399C2314yes—
510#398C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2314yes—
536#398C2312yes—
537#398C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2312yes—
545#397C2314yes—
546#397C2314yes—
547#397C2312yes—
548#397C2314yes—
549#397C2312yes—
550#396C2312yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2312yes—
557#396C2314yes—
558#396C2312yes—
559#396C2312yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2312yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#393C2314yes—
581#393C2314yes—
582#393C2312yes—
583#393C2314yes—
584#393C2312yes—
585#393C2314yes—
586#393C2312yes—
587#393C2312yes—
588#393C2312yes—
589#393C2312yes—
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2314yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2314yes—
602#391C2314yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2314yes—
607#391C2314yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2314yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#384C2314yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2314yes—
751#384C2312yes—
752#384C2312yes—
753#384C2312yes—
754#384C2314yes—
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2311yescharacteristic
758#384C2312yes—
759#383C2314yes—
760#383C2314yes—
761#382C2314yes—
762#382C2314yes—
763#382C2312yes—
764#382C2314yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2311yescharacteristic
770#382C2311yescharacteristic
771#382C2312yes—
772#381C2314yes—
773#381C2312yes—
774#381C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#379C2312yes—
799#379C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835#376C2312yes—
836#376C2314yes—
837#376C2314yes—
838C2×#95C2312yes—
839C2×#95C2312yes—
840C2×#95C2311yescharacteristic
841C2×#95C2312yes—
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C43C2312yes—
845C25C2411yescharacteristic
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—24no—
849C22×Q8—24no—
850C22×Q8—24no—
851C22×Q8C2×D418yes—
852C22×Q8C2411yescharacteristic
853C22×Q8C2412yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2414yes—
858C22×Q8C2412yes—
859C22×Q8C2414yes—
860C22×Q8C2412yes—
861C22×Q8C2414yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C23×C4—24no—
867C23×C4—24no—
868C23×C4—24no—
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2411yescharacteristic
887C4⋊Q8—28no—
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—216no—
892C4⋊Q8—24no—
893C4⋊Q8—24no—
894C4⋊Q8—216no—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—216no—
898C4⋊Q8—216no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—216no—
902C4⋊Q8—216no—
903C4⋊Q8—28no—
904C4⋊Q8—48no—
905C4⋊Q8—84no—
906C4⋊Q8—84no—
907#126—216no—
908#126—216no—
909#126—216no—
910#126—216no—
911#125—28no—
912#125—216no—
913#125—24no—
914#125—24no—
915#125—216no—
916#125—24no—
917#125—24no—
918#125—216no—
919#125—216no—
920#125—28no—
921#125—28no—
922#125—216no—
923#125—216no—
924#125—216no—
925#125—28no—
926#125—28no—
927#125—216no—
928#125—216no—
929#125—28no—
930#124—28no—
931#124—28no—
932#124—216no—
933#124—44no—
934#124—84no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—28no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—24no—
946C22⋊Q8—24no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—28no—
955C22⋊Q8—216no—
956C22⋊Q8—28no—
957C22⋊Q8—44no—
958C22⋊Q8—48no—
959C22⋊Q8—84no—
960C22⋊Q8—84no—
961C22⋊Q8—84no—
962#121—24no—
963#121—24no—
964#120—28no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—28no—
970C4×Q8—28no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—216no—
975C4×Q8—28no—
976C4×Q8—216no—
977C4×Q8—216no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—216no—
981C4×Q8—216no—
982C4×Q8—28no—
983C4×Q8C2×D4116yes—
984C4×Q8C2×D4116yes—
985C4×Q8C2×D4116yes—
986C4×Q8C2×D4116yes—
987C4×D4—216no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—216no—
992#117—24no—
993#117—216no—
994#117—24no—
995#117—24no—
996#117—24no—
997#117—24no—
998#117—24no—
999#117—24no—
1000#117—28no—
1001#117—28no—
1002#117—28no—
1003#117—216no—
1004#117—216no—
1005#117C2×D418yes—
1006#117C2×D418yes—
1007#117C2×D4132yes—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—28no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—28no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4—82no—
1018C2×C4⋊C4—82no—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C22⋊C4—28no—
1104C2×C22⋊C4—28no—
1105C2×C22⋊C4—24no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—82no—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C42—28no—
1157C2×C42—24no—
1158C2×C42—24no—
1159C2×C42—28no—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2414yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2414yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24C2511yescharacteristic
1266C24C2512yes—
1267C24C2511yescharacteristic
1268C24C2511yescharacteristic
1269#41—416no—
1270C2×Q8—232no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—22no—
1274C2×Q8—28no—
1275C2×Q8—24no—
1276C2×Q8—28no—
1277C2×Q8—24no—
1278C2×Q8—28no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—22no—
1286C2×Q8—22no—
1287C2×Q8—42no—
1288C2×Q8—42no—
1289C2×Q8—42no—
1290C2×Q8—44no—
1291C2×Q8—44no—
1292C2×Q8—42no—
1293C2×Q8—42no—
1294C2×Q8—44no—
1295C2×Q8—44no—
1296C2×Q8—44no—
1297C2×Q8—42no—
1298C2×Q8—44no—
1299C2×Q8C22×D418yes—
1300C2×Q8C22×D418yes—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—28no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—41no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—416no—
1364C22×C4C22×D418yes—
1365C22×C4C22×D414yes—
1366C22×C42−1+414yes—
1367C22×C42−1+414yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2514yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2514yes—
1388C22×C4C2514yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—28no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4C22×D414yes—
1478C4⋊C4C22×D414yes—
1479C4⋊C4C22×D414yes—
1480C4⋊C4C22×D414yes—
1481C4⋊C4C22×D4116yes—
1482C4⋊C4C22×D4116yes—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—24no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4C22×D418yes—
1529C22⋊C4C22×D418yes—
1530C22⋊C42−1+414yes—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—28no—
1535C42—22no—
1536C42—22no—
1537C42—28no—
1538C42—22no—
1539C42—22no—
1540C42—28no—
1541C42—28no—
1542C42—28no—
1543C42—24no—
1544C42—24no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—42no—
1554C42—44no—
1555C42—44no—
1556C42—42no—
1557C42C22×D418yes—
1558C42C22×D4116yes—
1559C42C22×D4116yes—
1560C42C22×D418yes—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—21no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—82no—
1590C23—82no—
1591C23—82no—
1592C23C23×D412yes—
1593C23C2×2−1+412yes—
1594C23C2×2−1+412yes—
1595C23C2×2−1+412yes—
1596C23C2611yescharacteristic
1597Q8—216no—
1598Q8—216no—
1599Q8—48no—
1600Q8—48no—
1601Q8—44no—
1602Q8—84no—
1603Q8—88no—
1604Q8—88no—
1605Q8—84no—
1606Q8—88no—
1607D4—48no—
1608D4—48no—
1609D4—44no—
1610D4—84no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—216no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—88no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—82no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4#536116yes—
1708C2×C4C23×D418yes—
1709C2×C4C23×D414yes—
1710C2×C4C23×D414yes—
1711C2×C4C23×D414yes—
1712C2×C4C23×D414yes—
1713C2×C4C23×D412yes—
1714C2×C4C23×D412yes—
1715C2×C4C2×2−1+412yes—
1716C2×C4C2×2−1+412yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4#58512yes—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—42no—
1736C22—41no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—41no—
1749C22—88no—
1750C22C2×#53614yes—
1751C22C24×D411yescharacteristic
1752C22C22×2−1+411yescharacteristic
1753C22C22×2−1+411yescharacteristic
1754C22C22×2−1+411yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22H(7,𝔽2)11yescharacteristic
1757C222−1+611yescharacteristic
1758C4—24no—
1759C4—22no—
1760C4—24no—
1761C4—24no—
1762C4—24no—
1763C4—22no—
1764C4—28no—
1765C4—22no—
1766C4—41no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—44no—
1771C4—42no—
1772C4—41no—
1773C4—41no—
1774C4—44no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—44no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4C2×#53614yes—
1788C4C2×#53614yes—
1789C2—24no—
1790C2—42no—
1791C2—82no—
1792C2—81no—
1793C2C22×#53611yescharacteristic
1794C2#6283711yescharacteristic
1795C2#6287911yescharacteristic
1796C2#6292811yescharacteristic
1797C2#6294511yescharacteristic
1798C2D4×2−1+411yescharacteristic
1799C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3502C2semidirect
3. #42891C2semidirect
4. #42888C2semidirect
5. #42879C2semidirect
6. #42814C2semidirect
7. #42813C2semidirect
8. #42804C2semidirect
9. #42801C2semidirect
10. #42789C2semidirect
11. #41953C2semidirect
12. #41939C2semidirect
13. #39955C2semidirect
14. #39955C2semidirect
15. #39859C2semidirect
16. #39855C2semidirect
17. #39744C2semidirect
18. #39617C2semidirect
19. #39597C2semidirect
20. #39139C2semidirect
21. #38371C2semidirect
22. #38370C2semidirect
23. #35673C2semidirect
24. #35672C2semidirect
25. #35566C2semidirect
27. #35532C2semidirect
28. #35519C2semidirect
29. #35275C2semidirect
30. #35253C2semidirect
31. #35182C2semidirect
33. #34739C2semidirect
34. C2×#2423C2semidirect
35. #34254C2semidirect
38. C2×Q82C22semidirect
39. C2×Q82C22semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
42. C2×#557C22semidirect
43. C2×#557C22semidirect
44. C2×#557C22semidirect
45. C2×#557C22semidirect
71. #2868C22semidirect
72. #2859C22semidirect
76. #2822C22semidirect
78. #2821C22semidirect
83. #2721C22semidirect
84. #2721C22semidirect
85. #2721C22semidirect
86. #2719C22semidirect
87. #2719C22semidirect
88. #2719C22semidirect
89. #2719C22semidirect
91. #2716C22semidirect
92. #2713C22semidirect
93. #2713C22semidirect
94. #2713C22semidirect
95. #2713C22semidirect
101. #2690C22semidirect
105. #2677C22semidirect
106. #2677C22semidirect
107. #2677C22semidirect
113. #2664C22semidirect
114. #2660C22semidirect
115. #2660C22semidirect
116. #2660C22semidirect
119. #2637C22semidirect
120. #2634C22semidirect
121. #2634C22semidirect
128. #2621C22semidirect
130. #2611C22semidirect
132. #2604C22semidirect
134. #2599C22semidirect
135. #2584C22semidirect
136. #2584C22semidirect
137. #2582C22semidirect
138. #2581C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
141. #2567C22semidirect
142. #2567C22semidirect
143. #2566C22semidirect
144. #2565C22semidirect
145. #2565C22semidirect
149. #2552C22semidirect
150. #2552C22semidirect
151. #2552C22semidirect
152. #2551C22semidirect
153. #2551C22semidirect
154. #2551C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
159. #2546C22semidirect
160. #2546C22semidirect
163. #2542C22semidirect
164. #2538C22semidirect
192. #2448C22semidirect
193. #2448C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2446C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
203. #2442C22semidirect
207. #2441C22semidirect
208. #2441C22semidirect
209. #2441C22semidirect
216. #2440C22semidirect
217. #2440C22semidirect
218. #2440C22semidirect
222. #2439C22semidirect
241. #2423C22semidirect
242. #2423C22semidirect
243. #2423C22semidirect
244. #2423C22semidirect
249. #2421C22semidirect
250. #2421C22semidirect
251. #2421C22semidirect
252. #2421C22semidirect
259. #2356C22semidirect
260. #2356C22semidirect
261. #2355C22semidirect
262. #2355C22semidirect
265. #2327C22semidirect
268. #2323C22semidirect
269. #2320C22semidirect
270. #2320C22semidirect
287. #2295C22semidirect
288. #2295C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#35022
#428912
#428882
#428792
#428142
#428132
#428042
#428012
#427892
#419532
#419392
#399552
#398592
#398552
#397442
#396172
#395972
#391392
#383712
#383702
#356732
#356722
#355662
#355422
#355322
#355192
#352752
#352532
#351822
#348132
#347392
C2×#24232
#342542