Finite Group Databasebeta

← #7717466

Subgroups — #7717466

Order 512.

6544 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3563C211yesmaximal, characteristic, complemented
2C22×#552C211yesmaximal, characteristic, complemented
3#51591C214yesmaximal, complemented
4#51588C214yesmaximal, complemented
5#51536C214yesmaximal, complemented
6#51533C214yesmaximal, complemented
7#44769C214yesmaximal, complemented
8#44765C214yesmaximal, complemented
9#44735C214yesmaximal, complemented
10#44637C214yesmaximal, complemented
11#39589C212yesmaximal, complemented
12#39116C212yesmaximal, complemented
13#38047C212yesmaximal, complemented
14#38045C212yesmaximal, complemented
15#37841C212yesmaximal, complemented
16#37841C212yesmaximal, complemented
17#36971C211yesmaximal, characteristic, complemented
18#36962C211yesmaximal, characteristic, complemented
19#36722C211yesmaximal, characteristic
20#36711C211yesmaximal, characteristic, complemented
21#36427C212yesmaximal, complemented
22#36162C212yesmaximal, complemented
23#35325C211yesmaximal, characteristic, complemented
24#35302C211yesmaximal, characteristic, complemented
25#35224C211yesmaximal, characteristic, complemented
26#35154C211yesmaximal, characteristic, complemented
27#35118C211yesmaximal, characteristic, complemented
28#35092C211yesmaximal, characteristic, complemented
29#34989C211yesmaximal, characteristic, complemented
30#34634C211yesmaximal, characteristic, complemented
31#34378C211yesmaximal, characteristic, complemented
32#3563—216no—
33C2×#564C2212yescomplemented
34C2×#563C2212yescomplemented
35C2×#557C2212yescomplemented
36C2×#554C2212yes—
37C2×#552—216no—
38C2×#552C2212yes—
39C2×#552C2212yes—
40C2×#552C2212yes—
41C2×#552C2214yes—
42C2×#552C2214yes—
43C2×#552C2214yes—
44C2×#552C2214yes—
45C2×#552C2212yescomplemented
46C2×#544C2211yescharacteristic
47C2×#544C2211yescharacteristic
48C2×#544C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#541C2212yescomplemented
51C2×#541C2212yescomplemented
52C2×#539C2211yescharacteristic
53C2×#539C2211yescharacteristic
54C2×#533C2211yescharacteristic
55C2×#529C2211yescharacteristic
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic
58C22×#125C2211yescharacteristic
59C22×#125C2211yescharacteristic
60C22×#125C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×#123C2211yescharacteristic
63C22×C22⋊Q8C2211yescharacteristic
64C22×C22⋊Q8C2211yescharacteristic
65C22×C4×Q8C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C23×C4⋊C4C2211yescharacteristic
71#2855C2211yescharacteristic
72#2855C2212yes—
73#2855C2211yescharacteristic
74#2855C2211yescharacteristic
75#2854C2211yescharacteristic
76#2853C2212yes—
77#2853C2212yes—
78#2849C2212yes—
79#2849C2212yes—
80#2848C2212yes—
81#2848C2211yescharacteristic
82#2848C2211yescharacteristic
83#2848C2211yescharacteristic
84#2847C2211yescharacteristic
85#2727C2214yescomplemented
86#2727C2214yescomplemented
87#2726C2214yescomplemented
88#2726C2214yescomplemented
89#2725C2214yescomplemented
90#2725C2214yescomplemented
91#2725C2214yescomplemented
92#2723C2214yescomplemented
93#2721C2214yescomplemented
94#2721C2214yescomplemented
95#2721C2214yescomplemented
96#2720C2214yescomplemented
97#2720C2214yescomplemented
98#2719C2214yescomplemented
99#2716C2214yescomplemented
100#2716C2214yescomplemented
101#2713C2214yescomplemented
102#2707C2214yes—
103#2707C2214yes—
104#2705C2214yes—
105#2705C2214yescomplemented
106#2704C2214yescomplemented
107#2704C2214yescomplemented
108#2704C2214yescomplemented
109#2702C2214yescomplemented
110#2702C2214yescomplemented
111#2702C2214yescomplemented
112#2696C2214yes—
113#2694C2214yes—
114#2694C2214yes—
115#2692C2214yescomplemented
116#2692C2214yescomplemented
117#2690C2214yescomplemented
118#2690C2214yescomplemented
119#2682C2214yes—
120#2681C2214yes—
121#2681C2214yes—
122#2674C2214yes—
123#2674C2214yes—
124#2674C2214yes—
125#2629C2214yescomplemented
126#2629C2212yescomplemented
127#2628C2212yescomplemented
128#2628C2212yescomplemented
129#2628C2212yescomplemented
130#2627C2211yescharacteristic
131#2627C2211yescharacteristic
132#2627C2211yescharacteristic
133#2627C2212yes—
134#2627C2212yes—
135#2627C2212yes—
136#2626C2211yescharacteristic
137#2626C2211yescharacteristic
138#2626C2211yescharacteristic
139#2626C2212yes—
140#2623C2212yes—
141#2621C2212yescomplemented
142#2620C2212yescomplemented
143#2618C2211yescharacteristic
144#2617C2211yescharacteristic
145#2614C2212yes—
146#2611C2212yescomplemented
147#2611C2214yescomplemented
148#2610C2212yescomplemented
149#2609C2214yescomplemented
150#2609C2214yescomplemented
151#2601C2214yescomplemented
152#2601C2214yescomplemented
153#2599C2212yescomplemented
154#2599C2214yescomplemented
155#2598C2212yescomplemented
156#2583C2212yes—
157#2583C2212yes—
158#2579C2212yes—
159#2579C2212yes—
160#2561C2212yes—
161#2561C2212yes—
162#2560C2214yescomplemented
163#2560C2214yescomplemented
164#2558C2214yes—
165#2556C2214yescomplemented
166#2556C2214yescomplemented
167#2556C2214yescomplemented
168#2534C2212yes—
169#2534C2212yes—
170#2519C2214yescomplemented
171#2519C2214yescomplemented
172#2512C2214yescomplemented
173#2506C2214yescomplemented
174#2506C2214yescomplemented
175#2502C2212yes—
176#2487C2212yes—
177#2484C2212yes—
178#2484C2212yes—
179#2482C2212yes—
180#2482C2212yes—
181#2482C2212yes—
182#2482C2212yes—
183#2481C2214yescomplemented
184#2479C2214yescomplemented
185#2479C2214yescomplemented
186#2479C2214yescomplemented
187#2477C2214yescomplemented
188#2477C2214yescomplemented
189#2475C2214yescomplemented
190#2475C2214yescomplemented
191#2475C2214yescomplemented
192#2473C2214yescomplemented
193#2473C2214yescomplemented
194#2469C2214yescomplemented
195#2469C2214yescomplemented
196#2467C2214yes—
197#2467C2214yes—
198#2465C2214yescomplemented
199#2465C2214yescomplemented
200#2465C2214yescomplemented
201#2462C2214yescomplemented
202#2462C2214yescomplemented
203#2462C2214yescomplemented
204#2461C2214yes—
205#2460C2214yes—
206#2460C2214yes—
207#2458C2214yes—
208#2458C2214yescomplemented
209#2454C2214yes—
210#2453C2214yescomplemented
211#2453C2214yescomplemented
212#2451C2214yescomplemented
213#2451C2214yescomplemented
214#2449C2214yescomplemented
215#2443C2214yes—
216#2443C2214yescomplemented
217#2442C2214yescomplemented
218#2442C2214yescomplemented
219#2441C2214yescomplemented
220#2440C2214yescomplemented
221#2440C2214yescomplemented
222#2435C2212yes—
223#2427C2214yes—
224#2415C2214yescomplemented
225#2413C2212yes—
226#2413C2212yes—
227#2411C2212yes—
228#2411C2212yes—
229#2411C2212yes—
230#2411C2212yes—
231#2408C2212yes—
232#2396C2214yescomplemented
233#2396C2212yescomplemented
234#2396C2212yescomplemented
235#2382C2214yescomplemented
236#2370C2214yescomplemented
237#2367C2214yes—
238#2363C2214yes—
239#2362C2214yescomplemented
240#2354C2214yescomplemented
241#2345C2212yes—
242#2344C2212yes—
243#2344C2212yes—
244#2344C2212yes—
245#2336C2214yescomplemented
246#2330C2214yescomplemented
247#2324C2212yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2323C2212yescomplemented
251#2322C2212yes—
252#2322C2212yes—
253#2322C2212yes—
254#2321C2212yes—
255#2317C2212yes—
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2313C2211yescharacteristic
259#2313C2211yescharacteristic
260#2310C2212yes—
261C4×#123C2212yes—
262C4×#120C2212yes—
263#2296C2212yes—
264#2296C2212yes—
265#2285C2211yescharacteristic
266#2283C2211yescharacteristic
267#2280C2212yes—
268#2280C2212yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275#564—216no—
276#563—216no—
277#557—216no—
278#554—216no—
279#552—232no—
280#552—232no—
281#552—232no—
282#552—232no—
283#552—216no—
284#552—216no—
285#552—216no—
286#552—216no—
287#544—216no—
288#544—28no—
289#544—28no—
290#541—216no—
291#541—216no—
292#541—216no—
293#539—28no—
294#539—28no—
295#533—28no—
296C2×C4⋊Q8C2311yescharacteristic
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303#529—28no—
304C2×#126—28no—
305C2×#126—28no—
306C2×#126C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#125—28no—
320C2×#125—28no—
321C2×#125D4116yescomplemented
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#125C2312yes—
339C2×#125C2312yes—
340C2×#125C2312yes—
341C2×#125C2312yes—
342C2×#125C2312yes—
343C2×#125C2312yes—
344C2×#125C2312yes—
345C2×#125C2312yes—
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#124C2311yescharacteristic
350C2×#124C2314yes—
351C2×#123—28no—
352C2×#123—28no—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×C22⋊Q8—28no—
365C2×C22⋊Q8—28no—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2311yescharacteristic
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×#121C2311yescharacteristic
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×C4×Q8—28no—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2314yes—
401C2×C4×Q8C2314yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×D4—28no—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×#117—28no—
413C2×#117—28no—
414C2×#117—28no—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C22×C4⋊C4—28no—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2314yes—
444C22×C4⋊C4C2314yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2311yescharacteristic
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C42C2311yescharacteristic
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468#400C2312yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2312yes—
473#400C2312yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#399C2312yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2312yes—
483#399C2312yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2312yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2312yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#395C2314yes—
534#395C2314yes—
535#395C2312yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2312yes—
540#395C2312yes—
541#395C2314yes—
542#395C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2312yes—
559#393C2312yes—
560#393C2312yes—
561#393C2314yes—
562#392C2312yes—
563#392C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#384C2314yes—
713#384C2312yes—
714#384C2314yes—
715#383C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#379C2312yes—
746#379C2312yes—
747#379C2312yes—
748#379C2312yes—
749#379C2312yes—
750#379C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772#376C2312yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C22×Q8—24no—
776C22×Q8—24no—
777C22×Q8—42no—
778C22×Q8C2414yes—
779C22×Q8C2412yes—
780C22×Q8C2412yes—
781C22×Q8C2411yescharacteristic
782C22×Q8C2411yescharacteristic
783C22×Q8C2412yes—
784C22×Q8C2411yescharacteristic
785C22×D4—24no—
786C22×D4—44no—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2411yescharacteristic
791C22×D4C2414yes—
792C23×C4—24no—
793C23×C4—24no—
794C23×C4—24no—
795C23×C4—24no—
796C23×C4—24no—
797C23×C4—24no—
798C23×C4—42no—
799C23×C4—42no—
800C23×C4—44no—
801C23×C4—44no—
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C23×C4C2411yescharacteristic
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C4⋊Q8—28no—
825C4⋊Q8—28no—
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—28no—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831#126—216no—
832#126—216no—
833#126—216no—
834#126—216no—
835#126—28no—
836#126—28no—
837#126—28no—
838#126—28no—
839#126—28no—
840#126—28no—
841#126—28no—
842#126—28no—
843#126—28no—
844#125—216no—
845#125—216no—
846#125—216no—
847#125—216no—
848#125—28no—
849#125—28no—
850#125—28no—
851#125—28no—
852#125—28no—
853#125—28no—
854#125—28no—
855#125—28no—
856#125—28no—
857#125—28no—
858#125—28no—
859#125—28no—
860#125—28no—
861#125—28no—
862#125—28no—
863#125—28no—
864#125—28no—
865#125—24no—
866#125—28no—
867#125C2×D4116yes—
868#125C2×D4116yes—
869#125C2×D4116yes—
870#125C2×D4116yes—
871#124—24no—
872#124—48no—
873#123—28no—
874#123—28no—
875#123—28no—
876#123—28no—
877#123—216no—
878#123—216no—
879#123—216no—
880#123—216no—
881#123—28no—
882#123—28no—
883#123—44no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—216no—
891C22⋊Q8—216no—
892C22⋊Q8—216no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906#121—24no—
907#121—48no—
908#121—44no—
909#120—44no—
910#120—44no—
911C4×Q8—216no—
912C4×Q8—216no—
913C4×Q8—28no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—28no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—216no—
925C4×D4—216no—
926C4×D4—24no—
927C4×D4—48no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—216no—
932#117—216no—
933#117—28no—
934#117—28no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—28no—
941#117—28no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—44no—
946#117—44no—
947#117—44no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—216no—
959C2×C4⋊C4—216no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4C2×D418yes—
962C2×C4⋊C4C2×D418yes—
963C2×C4⋊C4C2×D418yes—
964C2×C4⋊C4C2×D418yes—
965C2×C4⋊C4C2×D418yes—
966C2×C4⋊C4C2×D418yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—24no—
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C42—24no—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42C2×D418yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—22no—
1180C24—24no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—42no—
1187C24—42no—
1188C24—42no—
1189C24C2512yes—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2511yescharacteristic
1193C2×Q8—24no—
1194C2×Q8—28no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—28no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—416no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—22no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—416no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—416no—
1270C22×C4—416no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—416no—
1274C22×C4—416no—
1275C22×C4C22×D414yes—
1276C22×C4C22×D414yes—
1277C22×C4C22×D414yes—
1278C22×C4C22×D414yes—
1279C22×C4C22×D414yes—
1280C22×C4C22×D414yes—
1281C22×C4C22×D414yes—
1282C22×C42−1+414yes—
1283C22×C4C2514yes—
1284C22×C4C2514yes—
1285C22×C4C2514yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C22×D418yes—
1380C4⋊C4C22×D418yes—
1381C4⋊C4C22×D418yes—
1382C4⋊C4C22×D418yes—
1383C4⋊C4C22×D418yes—
1384C4⋊C4C22×D418yes—
1385C4⋊C4C22×D418yes—
1386C4⋊C4C22×D418yes—
1387C4⋊C4C22×D418yes—
1388C4⋊C4C22×D418yes—
1389C4⋊C4C22×D418yes—
1390C4⋊C4C22×D418yes—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C42—24no—
1441C42—24no—
1442C42—28no—
1443C42—24no—
1444C42—24no—
1445C42—28no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42C22×D414yes—
1462C42C22×D414yes—
1463C42C22×D414yes—
1464C42C22×D414yes—
1465C23—22no—
1466C23—22no—
1467C23—28no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—24no—
1484C23—48no—
1485C23—48no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—84no—
1492C23—84no—
1493C23C23×D412yes—
1494C23C2×2−1+412yes—
1495C23#58514yes—
1496C23#58512yes—
1497C23C2611yescharacteristic
1498Q8—416no—
1499Q8—48no—
1500Q8—84no—
1501Q8—82no—
1502Q8—82no—
1503Q8—82no—
1504Q8—84no—
1505D4—416no—
1506D4—48no—
1507D4—82no—
1508D4—88no—
1509D4—164no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—28no—
1527C2×C4—28no—
1528C2×C4—28no—
1529C2×C4—28no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—416no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—416no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4C23×D412yes—
1589C2×C4C23×D414yes—
1590C2×C4C23×D414yes—
1591C2×C4C23×D412yes—
1592C2×C4C23×D412yes—
1593C2×C4C23×D412yes—
1594C2×C4C23×D412yes—
1595C2×C4C23×D414yes—
1596C2×C4C23×D414yes—
1597C2×C4C23×D412yes—
1598C2×C4C2×2−1+414yes—
1599C22—22no—
1600C22—22no—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—416no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—44no—
1618C22—44no—
1619C22—44no—
1620C22—44no—
1621C22—88no—
1622C22#348914yes—
1623C22C24×D411yescharacteristic
1624C22C22×2−1+411yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58512yes—
1627C222−1+612yes—
1628C4—24no—
1629C4—22no—
1630C4—24no—
1631C4—22no—
1632C4—24no—
1633C4—24no—
1634C4—22no—
1635C4—22no—
1636C4—24no—
1637C4—22no—
1638C4—22no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—44no—
1653C4—44no—
1654C4—44no—
1655C2—24no—
1656C2—44no—
1657C2—82no—
1658C2—82no—
1659C2C2×#348911yescharacteristic
1660C2#6281111yescharacteristic
1661C2#6284811yescharacteristic
1662C2#6290912yes—
1663C2#6292812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36722C2
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×#3563C2semidirect
2. C22×#552C2semidirect
3. #51591C2semidirect
4. #51588C2semidirect
5. #51536C2semidirect
6. #51533C2semidirect
7. #44769C2semidirect
8. #44765C2semidirect
9. #44735C2semidirect
10. #44637C2semidirect
11. #39589C2semidirect
12. #39116C2semidirect
13. #38047C2semidirect
14. #38045C2semidirect
15. #37841C2semidirect
16. #37841C2semidirect
17. #36971C2semidirect
18. #36962C2semidirect
20. #36711C2semidirect
21. #36427C2semidirect
22. #36162C2semidirect
23. #35325C2semidirect
24. #35302C2semidirect
25. #35224C2semidirect
26. #35154C2semidirect
27. #35118C2semidirect
28. #35092C2semidirect
29. #34989C2semidirect
30. #34634C2semidirect
31. #34378C2semidirect
33. C2×#564C22semidirect
34. C2×#563C22semidirect
35. C2×#557C22semidirect
45. C2×#552C22semidirect
48. C2×#544C22semidirect
49. C2×#541C22semidirect
50. C2×#541C22semidirect
51. C2×#541C22semidirect
85. #2727C22semidirect
86. #2727C22semidirect
87. #2726C22semidirect
88. #2726C22semidirect
89. #2725C22semidirect
90. #2725C22semidirect
91. #2725C22semidirect
92. #2723C22semidirect
93. #2721C22semidirect
94. #2721C22semidirect
95. #2721C22semidirect
96. #2720C22semidirect
97. #2720C22semidirect
98. #2719C22semidirect
99. #2716C22semidirect
100. #2716C22semidirect
101. #2713C22semidirect
105. #2705C22semidirect
106. #2704C22semidirect
107. #2704C22semidirect
108. #2704C22semidirect
109. #2702C22semidirect
110. #2702C22semidirect
111. #2702C22semidirect
115. #2692C22semidirect
116. #2692C22semidirect
117. #2690C22semidirect
118. #2690C22semidirect
125. #2629C22semidirect
126. #2629C22semidirect
127. #2628C22semidirect
128. #2628C22semidirect
129. #2628C22semidirect
141. #2621C22semidirect
142. #2620C22semidirect
146. #2611C22semidirect
147. #2611C22semidirect
148. #2610C22semidirect
149. #2609C22semidirect
150. #2609C22semidirect
151. #2601C22semidirect
152. #2601C22semidirect
153. #2599C22semidirect
154. #2599C22semidirect
155. #2598C22semidirect
162. #2560C22semidirect
163. #2560C22semidirect
165. #2556C22semidirect
166. #2556C22semidirect
167. #2556C22semidirect
170. #2519C22semidirect
171. #2519C22semidirect
172. #2512C22semidirect
173. #2506C22semidirect
174. #2506C22semidirect
183. #2481C22semidirect
184. #2479C22semidirect
185. #2479C22semidirect
186. #2479C22semidirect
187. #2477C22semidirect
188. #2477C22semidirect
189. #2475C22semidirect
190. #2475C22semidirect
191. #2475C22semidirect
192. #2473C22semidirect
193. #2473C22semidirect
194. #2469C22semidirect
195. #2469C22semidirect
198. #2465C22semidirect
199. #2465C22semidirect
200. #2465C22semidirect
201. #2462C22semidirect
202. #2462C22semidirect
203. #2462C22semidirect
208. #2458C22semidirect
210. #2453C22semidirect
211. #2453C22semidirect
212. #2451C22semidirect
213. #2451C22semidirect
214. #2449C22semidirect
216. #2443C22semidirect
217. #2442C22semidirect
218. #2442C22semidirect
219. #2441C22semidirect
220. #2440C22semidirect
221. #2440C22semidirect
224. #2415C22semidirect
232. #2396C22semidirect
233. #2396C22semidirect
234. #2396C22semidirect
235. #2382C22semidirect
236. #2370C22semidirect
239. #2362C22semidirect
240. #2354C22semidirect
245. #2336C22semidirect
246. #2330C22semidirect
247. #2324C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
321. C2×#125D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35632
C22×#5522
#515912
#515882
#515362
#515332
#447692
#447652
#447352
#446372
#395892
#391162
#380472
#380452
#378412
#369712
#369622
#367222
#367112
#364272
#361622
#353252
#353022
#352242
#351542
#351182
#350922
#349892
#346342
#343782