Finite Group Databasebeta

← #7650830

Subgroups — #7650830

Order 512.

6766 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic
3#42968C212yesmaximal, complemented
4#42944C212yesmaximal, complemented
5#42886C212yesmaximal, complemented
6#42884C212yesmaximal, complemented
7#42678C212yesmaximal, complemented
8#42479C212yesmaximal, complemented
9#42437C212yesmaximal, complemented
10#42423C212yesmaximal, complemented
11#41370C214yesmaximal, complemented
12#40513C214yesmaximal, complemented
13#39951C212yesmaximal, complemented
14#39949C212yesmaximal, complemented
15#39891C212yesmaximal, complemented
16#39866C212yesmaximal, complemented
17#39746C212yesmaximal, complemented
18#39134C212yesmaximal, complemented
19#38952C212yesmaximal, complemented
20#38907C212yesmaximal, complemented
21#38359C214yesmaximal, complemented
22#37838C214yesmaximal, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35575C211yesmaximal, characteristic, complemented
25#35566C211yesmaximal, characteristic, complemented
26#35556C211yesmaximal, characteristic, complemented
27#35531C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#35264C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic, complemented
31#35174C211yesmaximal, characteristic, complemented
32#34938C211yesmaximal, characteristic, complemented
33#34744C211yesmaximal, characteristic, complemented
34C2×#2454C211yesmaximal, characteristic, complemented
35#34253C211yesmaximal, characteristic, complemented
36#3506—216no—
37#3504—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#557C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#556C2212yes—
43C2×#555C2212yes—
44C2×#554C2214yes—
45C2×#554C2214yes—
46C2×#554C2212yescomplemented
47C2×#554C2212yescomplemented
48C2×#553C2212yes—
49C2×#553C2212yes—
50C2×#550C2212yes—
51C2×#547C2212yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#544C2212yescomplemented
55C2×#544C2212yescomplemented
56C2×#538C2214yes—
57C2×#535C2211yescharacteristic
58C2×#535C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#532C2211yescharacteristic
63C22×#125C2211yescharacteristic
64C22×#125C2212yescomplemented
65C2×#525C2214yes—
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71#2861C2212yes—
72#2858C2212yes—
73#2854C2212yes—
74#2854C2212yes—
75#2848C2214yes—
76#2821C2214yescomplemented
77#2820C2214yescomplemented
78#2816C2214yescomplemented
79#2814C2214yescomplemented
80#2721C2214yescomplemented
81#2721C2214yescomplemented
82#2721C2214yescomplemented
83#2716C2214yescomplemented
84#2700C2214yescomplemented
85#2694C2214yescomplemented
86#2694C2214yescomplemented
87#2694C2214yescomplemented
88#2694C2214yescomplemented
89#2694C2214yescomplemented
90#2694C2214yescomplemented
91#2690C2214yescomplemented
92#2690C2214yescomplemented
93#2690C2214yescomplemented
94#2687C2214yescomplemented
95#2687C2214yescomplemented
96#2687C2214yescomplemented
97#2681C2214yescomplemented
98#2681C2214yescomplemented
99#2680C2214yescomplemented
100#2677C2214yescomplemented
101#2674C2214yescomplemented
102#2674C2214yescomplemented
103#2674C2214yescomplemented
104#2674C2214yescomplemented
105#2674C2214yescomplemented
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2672C2214yescomplemented
112#2664C2214yescomplemented
113#2663C2214yescomplemented
114#2658C2214yescomplemented
115#2641C2212yes—
116#2640C2212yes—
117#2638C2214yescomplemented
118#2637C2214yescomplemented
119#2633C2214yescomplemented
120#2632C2214yescomplemented
121#2628C2214yescomplemented
122#2626C2214yes—
123#2624C2212yes—
124#2624C2212yes—
125#2623C2214yescomplemented
126#2620C2214yescomplemented
127#2618C2214yescomplemented
128#2616C2214yescomplemented
129#2611C2214yescomplemented
130#2604C2214yescomplemented
131#2599C2214yescomplemented
132#2592C2212yes—
133#2592C2212yes—
134#2584C2212yescomplemented
135#2584C2212yescomplemented
136#2579C2214yes—
137#2567C2212yescomplemented
138#2564C2214yes—
139#2552C2211yescharacteristic, complemented
140#2552C2211yescharacteristic, complemented
141#2552C2212yescomplemented
142#2551C2211yescharacteristic, complemented
143#2551C2211yescharacteristic, complemented
144#2551C2212yescomplemented
145#2550C2211yescharacteristic, complemented
146#2550C2211yescharacteristic, complemented
147#2550C2211yescharacteristic, complemented
148#2550C2211yescharacteristic, complemented
149#2550C2212yescomplemented
150#2550C2212yescomplemented
151#2549C2212yes—
152#2549C2212yes—
153#2549C2214yes—
154#2548C2212yes—
155#2548C2212yes—
156#2547C2214yescomplemented
157#2546C2212yescomplemented
158#2545C2214yescomplemented
159#2536C2214yescomplemented
160#2504C2212yes—
161#2501C2212yes—
162#2501C2214yescomplemented
163#2500C2212yes—
164#2500C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2490C2212yes—
172#2490C2212yes—
173#2487C2214yes—
174#2487C2212yescomplemented
175#2486C2214yescomplemented
176#2486C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2472C2214yes—
180#2472C2214yes—
181#2472C2214yes—
182#2472C2214yes—
183#2454C2212yes—
184#2454C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2454C2212yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yes—
194#2454C2212yes—
195#2454C2212yescomplemented
196#2454C2212yescomplemented
197#2454C2212yescomplemented
198#2453C2212yescomplemented
199#2453C2212yescomplemented
200#2453C2212yescomplemented
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yescomplemented
206#2451C2212yescomplemented
207#2448C2212yes—
208#2448C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2448C2211yescharacteristic, complemented
212#2448C2212yescomplemented
213#2448C2211yescharacteristic, complemented
214#2447C2211yescharacteristic, complemented
215#2447C2212yescomplemented
216#2447C2211yescharacteristic, complemented
217#2446C2211yescharacteristic, complemented
218#2446C2212yescomplemented
219#2446C2211yescharacteristic, complemented
220#2445C2212yes—
221#2445C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2445C2211yescharacteristic, complemented
225#2445C2212yescomplemented
226#2445C2211yescharacteristic, complemented
227#2444C2212yes—
228#2444C2212yes—
229#2444C2214yes—
230#2443C2214yes—
231#2443C2212yes—
232#2443C2212yes—
233#2442C2212yescomplemented
234#2442C2212yescomplemented
235#2442C2212yescomplemented
236#2441C2212yescomplemented
237#2441C2212yescomplemented
238#2441C2212yescomplemented
239#2440C2214yes—
240#2440C2212yes—
241#2440C2212yes—
242#2440C2212yescomplemented
243#2439C2212yescomplemented
244#2432C2214yescomplemented
245#2418C2214yes—
246#2418C2214yes—
247#2418C2214yes—
248#2418C2214yes—
249#2417C2214yes—
250#2415C2214yescomplemented
251#2413C2214yescomplemented
252#2406C2214yescomplemented
253#2399C2212yescomplemented
254#2399C2212yescomplemented
255#2395C2212yescomplemented
256#2395C2212yescomplemented
257C2×#399C2212yes—
258C2×#396C2212yes—
259#2353C2214yes—
260#2352C2214yes—
261#2347C2212yescomplemented
262#2346C2212yescomplemented
263#2345C2212yescomplemented
264#2344C2212yescomplemented
265#2326C2214yescomplemented
266#2323C2214yescomplemented
267#2322C2214yescomplemented
268#2320C2212yescomplemented
269#2319C2212yescomplemented
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2214yescomplemented
277#2309C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×C4⋊Q8C2212yescomplemented
280C4×C4⋊Q8C2212yescomplemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2295C2212yescomplemented
290#2293C2212yescomplemented
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#385C2212yes—
296#2285C2211yescharacteristic
297C2×#380C2212yes—
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#559—216no—
307#559—216no—
308#557—216no—
309#557—216no—
310#556—216no—
311#555—216no—
312#554—232no—
313#554—232no—
314#554—216no—
315#554—216no—
316#553—216no—
317#553—216no—
318#550—216no—
319#547—216no—
320#544—28no—
321#544—216no—
322#544—28no—
323#544—216no—
324#538—232no—
325#535—28no—
326#535—28no—
327#533—28no—
328#533—28no—
329#533—216no—
330#532—28no—
331C2×C4⋊Q8C2314yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2314yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#125—28no—
351C2×#125—216no—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378#525—232no—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417#520—28no—
418#520—28no—
419#520D4116yes—
420C4×#41—28no—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4—28no—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2314yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2314yes—
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2314yes—
466C22×C4⋊C4C2314yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2312yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2312yes—
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2312yes—
491#400C2312yes—
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2312yes—
506#399C2314yes—
507#399C2312yes—
508#398C2312yes—
509#398C2314yes—
510#398C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2314yes—
520#398C2312yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#398C2312yes—
525#398C2312yes—
526#398C2314yes—
527#397C2312yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#395C2314yes—
557#395C2312yes—
558#395C2314yes—
559#395C2312yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2312yes—
564#395C2312yes—
565#395C2312yes—
566#395C2312yes—
567#395C2312yes—
568#395C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2312yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2314yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2311yescharacteristic
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2314yes—
670#389C2314yes—
671#389C2312yes—
672#389C2311yescharacteristic
673#389C2311yescharacteristic
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2314yes—
679#389C2314yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2311yescharacteristic
683#389C2311yescharacteristic
684#389C2312yes—
685#389C2312yes—
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2314yes—
727#387C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2312yes—
766#384C2312yes—
767#384C2312yes—
768#384C2314yes—
769#384C2312yes—
770#384C2311yescharacteristic
771#384C2311yescharacteristic
772#383C2314yes—
773#382C2314yes—
774#382C2312yes—
775#382C2311yescharacteristic
776#382C2311yescharacteristic
777#381C2314yes—
778#381C2314yes—
779#381C2312yes—
780#381C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2312yes—
800#380C2314yes—
801#379C2314yes—
802#379C2314yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838#376C2312yes—
839#376C2314yes—
840C2×#95C2312yes—
841C2×#95C2311yescharacteristic
842C2×#95C2311yescharacteristic
843C2×#95C2312yes—
844C43C2312yes—
845C25C2412yes—
846C2×#41—24no—
847C2×#41—216no—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—48no—
853C2×#41—84no—
854C2×#41C2×D418yes—
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2411yescharacteristic
858C22×Q8C2414yes—
859C22×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×D4—24no—
864C22×D4—24no—
865C22×D4—24no—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C23×C4—28no—
879C23×C4—44no—
880C23×C4—82no—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902C4⋊Q8—28no—
903C4⋊Q8—28no—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—216no—
909C4⋊Q8—216no—
910C4⋊Q8—28no—
911C4⋊Q8—44no—
912C4⋊Q8—44no—
913C4⋊Q8—84no—
914#127—24no—
915#127—28no—
916#127—28no—
917#126—216no—
918#126—216no—
919#125—28no—
920#125—24no—
921#125—28no—
922#125—28no—
923#125—28no—
924#125—28no—
925#125—28no—
926#125—216no—
927#125—216no—
928#125—24no—
929#125—24no—
930#125—24no—
931#125—28no—
932#125—216no—
933#125—216no—
934#125—28no—
935#124—24no—
936#124—28no—
937#124—24no—
938#124—216no—
939#124—28no—
940#124—216no—
941#124—48no—
942#124—84no—
943#124—84no—
944#124—84no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—216no—
949#123—48no—
950#123—44no—
951#123—44no—
952#123—84no—
953#123—84no—
954#123—84no—
955#123—84no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—216no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—48no—
970C22⋊Q8—84no—
971C22⋊Q8—84no—
972#121—28no—
973#121—28no—
974#121—28no—
975#121—28no—
976#121—216no—
977#121—28no—
978#121—28no—
979#121—216no—
980#121—216no—
981#120—216no—
982#120—216no—
983C4×Q8—24no—
984C4×Q8—24no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—216no—
989C4×Q8—216no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8C2×D4116yes—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—216no—
999C4×D4—28no—
1000C4×D4—216no—
1001C4×D4—216no—
1002C4×D4—28no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—216no—
1010C4×D4C2×D4132yes—
1011C4×D4C2×D4116yes—
1012#117—28no—
1013#117—24no—
1014#117—24no—
1015#117—28no—
1016#117—24no—
1017#117—24no—
1018#117—24no—
1019#117—28no—
1020#117—216no—
1021#117—84no—
1022#117C2×D418yes—
1023#117C2×D4116yes—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—24no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—216no—
1029C2×C4⋊C4—216no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—28no—
1032C2×C4⋊C4—42no—
1033C2×C4⋊C4—42no—
1034C2×C4⋊C4—82no—
1035C2×C4⋊C4—82no—
1036C2×C4⋊C4C2×D418yes—
1037C2×C4⋊C4C2×D4116yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C22⋊C4—28no—
1120C2×C22⋊C4—44no—
1121C2×C22⋊C4—82no—
1122C2×C22⋊C4—82no—
1123C2×C22⋊C4—82no—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C42—24no—
1180C2×C42—28no—
1181C2×C42—24no—
1182C2×C42—24no—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212#95C2414yes—
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270C24—24no—
1271C24—24no—
1272C24—24no—
1273C24—42no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24C2514yes—
1278C24C2512yes—
1279C24C2512yes—
1280C24C2511yescharacteristic
1281#41—232no—
1282#41—416no—
1283#41—832no—
1284C2×Q8—22no—
1285C2×Q8—24no—
1286C2×Q8—28no—
1287C2×Q8—24no—
1288C2×Q8—28no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—24no—
1296C2×Q8—42no—
1297C2×Q8—44no—
1298C2×Q8—44no—
1299C2×Q8—44no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—44no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8C22×D414yes—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—28no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—28no—
1321C2×D4—28no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—416no—
1343C2×D4C22×D418yes—
1344C2×D4C22×D414yes—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—28no—
1365C22×C4—28no—
1366C22×C4—28no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—816no—
1397C22×C4C22×D418yes—
1398C22×C4C22×D418yes—
1399C22×C4C22×D4116yes—
1400C22×C4C22×D414yes—
1401C22×C42−1+414yes—
1402C22×C42−1+414yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2514yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2514yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2514yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—41no—
1484C4⋊C4—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4C22×D418yes—
1511C4⋊C4C22×D414yes—
1512C4⋊C4C22×D418yes—
1513C4⋊C4C22×D4116yes—
1514C4⋊C4C22×D414yes—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4C22×D418yes—
1569C22⋊C4C22×D4116yes—
1570C42—22no—
1571C42—24no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—24no—
1578C42—24no—
1579C42—22no—
1580C42—22no—
1581C42—28no—
1582C42—24no—
1583C42—28no—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—42no—
1593C42—44no—
1594C42—42no—
1595C42—44no—
1596C42—42no—
1597C42C22×D4116yes—
1598C42C22×D418yes—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—24no—
1615C23—22no—
1616C23—24no—
1617C23—24no—
1618C23—22no—
1619C23—22no—
1620C23—24no—
1621C23—22no—
1622C23—24no—
1623C23—48no—
1624C23—48no—
1625C23—48no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23—84no—
1630C23C23×D414yes—
1631C23C23×D412yes—
1632C23C2×2−1+412yes—
1633C23C2×2−1+412yes—
1634C23C2611yescharacteristic
1635Q8—28no—
1636Q8—48no—
1637Q8—44no—
1638Q8—88no—
1639Q8—84no—
1640Q8—88no—
1641Q8—84no—
1642Q8—84no—
1643D4—216no—
1644D4—28no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—44no—
1650D4—88no—
1651D4—88no—
1652D4—84no—
1653D4—88no—
1654D4—88no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—216no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—48no—
1738C2×C4—416no—
1739C2×C4—416no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—82no—
1746C2×C4—84no—
1747C2×C4—82no—
1748C2×C4—84no—
1749C2×C4—84no—
1750C2×C4—88no—
1751C2×C4—82no—
1752C2×C4—82no—
1753C2×C4—84no—
1754C2×C4#536116yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D418yes—
1757C2×C4C23×D414yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D412yes—
1760C2×C4C23×D412yes—
1761C2×C4C2×2−1+412yes—
1762C2×C4C2×2−1+412yes—
1763C2×C4C2×2−1+412yes—
1764C2×C4C2×2−1+412yes—
1765C2×C4#58512yes—
1766C2×C4#58512yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—44no—
1792C22—42no—
1793C22—44no—
1794C22—816no—
1795C22C2×#53614yes—
1796C22C24×D411yescharacteristic
1797C22C22×2−1+411yescharacteristic
1798C22C22×2−1+411yescharacteristic
1799C22C2×#58511yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22H(7,𝔽2)11yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C4—22no—
1804C4—28no—
1805C4—24no—
1806C4—24no—
1807C4—22no—
1808C4—24no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—41no—
1814C4—42no—
1815C4—41no—
1816C4—44no—
1817C4—42no—
1818C4—41no—
1819C4—41no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—44no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4C2×#53614yes—
1833C4C2×#53614yes—
1834C2—24no—
1835C2—44no—
1836C2—82no—
1837C2—84no—
1838C2C22×#53611yescharacteristic
1839C2#6283111yescharacteristic
1840C2#6288111yescharacteristic
1841C2#6292611yescharacteristic
1842C2#6292611yescharacteristic
1843C2#6298711yescharacteristic
1844C2#6300311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3506C2
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×#3504C2semidirect
3. #42968C2semidirect
4. #42944C2semidirect
5. #42886C2semidirect
6. #42884C2semidirect
7. #42678C2semidirect
8. #42479C2semidirect
9. #42437C2semidirect
10. #42423C2semidirect
11. #41370C2semidirect
12. #40513C2semidirect
13. #39951C2semidirect
14. #39949C2semidirect
15. #39891C2semidirect
16. #39866C2semidirect
17. #39746C2semidirect
18. #39134C2semidirect
19. #38952C2semidirect
20. #38907C2semidirect
21. #38359C2semidirect
22. #37838C2semidirect
23. #35639C2semidirect
24. #35575C2semidirect
25. #35566C2semidirect
26. #35556C2semidirect
27. #35531C2semidirect
28. #35517C2semidirect
29. #35264C2semidirect
30. #35254C2semidirect
31. #35174C2semidirect
32. #34938C2semidirect
33. #34744C2semidirect
34. C2×#2454C2semidirect
35. #34253C2semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
46. C2×#554C22semidirect
47. C2×#554C22semidirect
54. C2×#544C22semidirect
55. C2×#544C22semidirect
61. C2×#533C22semidirect
64. C22×#125C22semidirect
76. #2821C22semidirect
77. #2820C22semidirect
78. #2816C22semidirect
79. #2814C22semidirect
80. #2721C22semidirect
81. #2721C22semidirect
82. #2721C22semidirect
83. #2716C22semidirect
84. #2700C22semidirect
85. #2694C22semidirect
86. #2694C22semidirect
87. #2694C22semidirect
88. #2694C22semidirect
89. #2694C22semidirect
90. #2694C22semidirect
91. #2690C22semidirect
92. #2690C22semidirect
93. #2690C22semidirect
94. #2687C22semidirect
95. #2687C22semidirect
96. #2687C22semidirect
97. #2681C22semidirect
98. #2681C22semidirect
99. #2680C22semidirect
100. #2677C22semidirect
101. #2674C22semidirect
102. #2674C22semidirect
103. #2674C22semidirect
104. #2674C22semidirect
105. #2674C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2672C22semidirect
112. #2664C22semidirect
113. #2663C22semidirect
114. #2658C22semidirect
117. #2638C22semidirect
118. #2637C22semidirect
119. #2633C22semidirect
120. #2632C22semidirect
121. #2628C22semidirect
125. #2623C22semidirect
126. #2620C22semidirect
127. #2618C22semidirect
128. #2616C22semidirect
129. #2611C22semidirect
130. #2604C22semidirect
131. #2599C22semidirect
134. #2584C22semidirect
135. #2584C22semidirect
137. #2567C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2551C22semidirect
143. #2551C22semidirect
144. #2551C22semidirect
145. #2550C22semidirect
146. #2550C22semidirect
147. #2550C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
156. #2547C22semidirect
157. #2546C22semidirect
158. #2545C22semidirect
159. #2536C22semidirect
162. #2501C22semidirect
174. #2487C22semidirect
175. #2486C22semidirect
176. #2486C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
195. #2454C22semidirect
196. #2454C22semidirect
197. #2454C22semidirect
198. #2453C22semidirect
199. #2453C22semidirect
200. #2453C22semidirect
205. #2452C22semidirect
206. #2451C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
213. #2448C22semidirect
214. #2447C22semidirect
215. #2447C22semidirect
216. #2447C22semidirect
217. #2446C22semidirect
218. #2446C22semidirect
219. #2446C22semidirect
224. #2445C22semidirect
225. #2445C22semidirect
226. #2445C22semidirect
233. #2442C22semidirect
234. #2442C22semidirect
235. #2442C22semidirect
236. #2441C22semidirect
237. #2441C22semidirect
238. #2441C22semidirect
242. #2440C22semidirect
243. #2439C22semidirect
244. #2432C22semidirect
250. #2415C22semidirect
251. #2413C22semidirect
252. #2406C22semidirect
253. #2399C22semidirect
254. #2399C22semidirect
255. #2395C22semidirect
256. #2395C22semidirect
261. #2347C22semidirect
262. #2346C22semidirect
263. #2345C22semidirect
264. #2344C22semidirect
265. #2326C22semidirect
266. #2323C22semidirect
267. #2322C22semidirect
268. #2320C22semidirect
269. #2319C22semidirect
276. #2311C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
289. #2295C22semidirect
290. #2293C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C2×#35062
#429682
#429442
#428862
#428842
#426782
#424792
#424372
#424232
#413702
#405132
#399512
#399492
#398912
#398662
#397462
#391342
#389522
#389072
#383592
#378382
#356392
#355752
#355662
#355562
#355312
#355172
#352642
#352542
#351742
#349382
#347442
C2×#24542
#342532