Finite Group Databasebeta

← #7729080

Subgroups — #7729080

Order 512.

7076 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3534C211yesmaximal, characteristic, complemented
2C22×#542C211yesmaximal, characteristic, complemented
3#49585C214yesmaximal, complemented
4#49584C214yesmaximal, complemented
5#47209C214yesmaximal, complemented
6#46421C214yesmaximal, complemented
7#44455C214yesmaximal, complemented
8#43898C214yesmaximal, complemented
9#39716C212yesmaximal, complemented
10#39449C214yesmaximal, complemented
11#39389C214yesmaximal, complemented
12#38906C212yesmaximal, complemented
13#38901C212yesmaximal, complemented
14#38900C212yesmaximal, complemented
15#38028C212yesmaximal, complemented
16#38020C212yesmaximal, complemented
17#37449C211yesmaximal, characteristic, complemented
18#37233C211yesmaximal, characteristic, complemented
19#36967C211yesmaximal, characteristic, complemented
20#36961C211yesmaximal, characteristic, complemented
21#36716C211yesmaximal, characteristic, complemented
22#36582C212yesmaximal, complemented
23#36340C212yesmaximal, complemented
24#35592C211yesmaximal, characteristic, complemented
25#35469C211yesmaximal, characteristic, complemented
26#35466C211yesmaximal, characteristic, complemented
27#35377C211yesmaximal, characteristic, complemented
28#35076C211yesmaximal, characteristic, complemented
29#35019C211yesmaximal, characteristic, complemented
30#34957C211yesmaximal, characteristic, complemented
31#34238C211yesmaximal, characteristic, complemented
32#3534—216no—
33C2×#562C2212yescomplemented
34C2×#560C2212yescomplemented
35C2×#553C2212yes—
36C2×#551C2212yescomplemented
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yescomplemented
40C2×D42C2212yes—
41C2×#542—216no—
42C2×#542C2214yescomplemented
43C2×#542C2214yescomplemented
44C2×#542C2214yescomplemented
45C2×#542C2214yescomplemented
46C2×#540C2212yescomplemented
47C2×#539C2211yescharacteristic
48C2×#539C2212yescomplemented
49C2×#538C2211yescharacteristic
50C2×#538C2212yescomplemented
51C2×#537C2211yescharacteristic
52C2×#534C2211yescharacteristic
53C2×#534C2212yescomplemented
54C22×C4⋊Q8C2211yescharacteristic, complemented
55C22×#126C2211yescharacteristic, complemented
56C22×#126C2211yescharacteristic, complemented
57C22×#124C2211yescharacteristic
58C22×#124C2211yescharacteristic, complemented
59C22×#124C2211yescharacteristic, complemented
60C2×#525C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×#123C2211yescharacteristic, complemented
63C22×C22⋊Q8C2211yescharacteristic, complemented
64C22×C22⋊Q8C2211yescharacteristic, complemented
65C22×C22⋊Q8C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic
67C22×#121C2211yescharacteristic
68C22×C4×Q8C2211yescharacteristic, complemented
69C22×C4×D4C2211yescharacteristic, complemented
70C22×#117C2211yescharacteristic, complemented
71#2854C2212yescomplemented
72#2854C2212yescomplemented
73#2854C2212yescomplemented
74#2853C2212yescomplemented
75#2850C2212yescomplemented
76#2850C2212yescomplemented
77#2849C2212yescomplemented
78#2847C2212yescomplemented
79#2814C2214yescomplemented
80#2723C2214yescomplemented
81#2723C2214yescomplemented
82#2716C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2713C2214yescomplemented
86#2712C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2702C2214yescomplemented
90#2700C2214yescomplemented
91#2700C2214yescomplemented
92#2699C2214yes—
93#2698C2214yescomplemented
94#2695C2214yescomplemented
95#2693C2214yescomplemented
96#2691C2214yescomplemented
97#2690C2214yescomplemented
98#2689C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yescomplemented
101#2686C2214yescomplemented
102#2686C2214yescomplemented
103#2685C2214yescomplemented
104#2684C2214yescomplemented
105#2684C2214yescomplemented
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2680C2214yescomplemented
109#2678C2214yes—
110#2678C2214yescomplemented
111#2677C2214yescomplemented
112#2676C2214yescomplemented
113#2676C2214yescomplemented
114#2674C2214yescomplemented
115#2673C2214yescomplemented
116#2671C2214yescomplemented
117#2670C2214yescomplemented
118#2670C2214yescomplemented
119#2670C2214yescomplemented
120#2639C2214yescomplemented
121#2638C2214yescomplemented
122#2635C2212yescomplemented
123#2635C2212yescomplemented
124#2623C2212yescomplemented
125#2622C2212yescomplemented
126#2622C2212yescomplemented
127#2622C2212yescomplemented
128#2621C2212yescomplemented
129#2620C2212yescomplemented
130#2617C2212yescomplemented
131#2617C2212yescomplemented
132#2602C2214yescomplemented
133#2591C2211yescharacteristic
134#2591C2211yescharacteristic, complemented
135#2591C2211yescharacteristic, complemented
136#2591C2212yescomplemented
137#2591C2212yescomplemented
138#2591C2212yescomplemented
139#2591C2212yescomplemented
140#2583C2211yescharacteristic, complemented
141#2579C2212yescomplemented
142#2579C2212yescomplemented
143#2579C2212yescomplemented
144#2579C2212yescomplemented
145#2564C2212yescomplemented
146#2561C2214yescomplemented
147#2561C2211yescharacteristic, complemented
148#2560C2214yescomplemented
149#2560C2214yescomplemented
150#2559C2214yescomplemented
151#2557C2214yescomplemented
152#2557C2214yescomplemented
153#2557C2214yescomplemented
154#2555C2214yescomplemented
155#2555C2214yescomplemented
156#2554C2214yescomplemented
157#2544C2214yescomplemented
158#2543C2214yescomplemented
159#2543C2212yescomplemented
160#2539C2211yescharacteristic
161#2539C2211yescharacteristic, complemented
162#2539C2211yescharacteristic, complemented
163#2521C2214yescomplemented
164#2521C2214yescomplemented
165#2519C2214yescomplemented
166#2512C2214yescomplemented
167#2504C2211yescharacteristic
168#2504C2211yescharacteristic, complemented
169#2504C2211yescharacteristic, complemented
170#2503C2212yescomplemented
171#2502C2211yescharacteristic, complemented
172#2499C2212yescomplemented
173#2492C2214yescomplemented
174#2492C2214yescomplemented
175#2491C2214yescomplemented
176#2491C2214yescomplemented
177#2491C2214yescomplemented
178#2488C2214yescomplemented
179#2488C2214yescomplemented
180#2487C2212yescomplemented
181#2480C2214yescomplemented
182#2477C2214yescomplemented
183#2476C2214yescomplemented
184#2476C2214yescomplemented
185#2474C2214yescomplemented
186#2472C2214yescomplemented
187#2472C2214yescomplemented
188#2472C2214yescomplemented
189#2470C2214yescomplemented
190#2469C2214yescomplemented
191#2469C2214yescomplemented
192#2468C2214yescomplemented
193#2464C2214yescomplemented
194#2463C2214yescomplemented
195#2461C2214yescomplemented
196#2459C2214yescomplemented
197#2458C2214yescomplemented
198#2458C2214yescomplemented
199#2457C2214yescomplemented
200#2453C2214yescomplemented
201#2447C2214yescomplemented
202#2444C2214yescomplemented
203#2438C2214yescomplemented
204#2436C2211yescharacteristic
205#2436C2212yescomplemented
206#2436C2211yescharacteristic, complemented
207#2436C2211yescharacteristic, complemented
208#2436C2212yescomplemented
209#2435C2212yescomplemented
210#2435C2214yescomplemented
211#2434C2211yescharacteristic, complemented
212#2432C2212yescomplemented
213#2427C2214yescomplemented
214#2426C2214yescomplemented
215#2424C2214yescomplemented
216#2418C2214yescomplemented
217#2414C2214yescomplemented
218#2413C2212yescomplemented
219#2412C2212yescomplemented
220#2412C2212yescomplemented
221#2411C2214yescomplemented
222#2411C2212yescomplemented
223#2410C2214yescomplemented
224#2410C2212yescomplemented
225#2410C2212yescomplemented
226#2409C2212yescomplemented
227#2409C2212yescomplemented
228#2408C2212yescomplemented
229#2406C2212yescomplemented
230#2405C2212yescomplemented
231#2405C2212yescomplemented
232#2404C2212yescomplemented
233#2403C2212yescomplemented
234#2403C2212yescomplemented
235#2395C2212yescomplemented
236#2388C2212yescomplemented
237#2374C2214yescomplemented
238#2367C2214yescomplemented
239#2362C2214yescomplemented
240#2359C2214yescomplemented
241#2359C2214yescomplemented
242#2345C2212yescomplemented
243#2342C2214yescomplemented
244#2342C2212yescomplemented
245#2342C2212yescomplemented
246D4×C22⋊C4C2212yes—
247#2335C2214yescomplemented
248#2321C2214yescomplemented
249#2321C2212yescomplemented
250#2321C2212yescomplemented
251#2313C2211yescharacteristic, complemented
252#2312C2211yescharacteristic, complemented
253#2311C2212yescomplemented
254#2308C2212yescomplemented
255#2308C2212yescomplemented
256#2308C2212yescomplemented
257C4×#123C2214yescomplemented
258C4×#123C2212yescomplemented
259C4×#123C2212yescomplemented
260C4×#123C2212yescomplemented
261C4×#121C2214yescomplemented
262C4×#120C2212yescomplemented
263#2297C2212yescomplemented
264C2×#386C2212yescomplemented
265#2280C2211yescharacteristic, complemented
266#2274C2211yescharacteristic, complemented
267#2273C2211yescharacteristic, complemented
268C2×C4×C22⋊C4C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C23×Q8C2311yescharacteristic
272C23×Q8C2311yescharacteristic
273C23×Q8C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2312yes—
276C23×D4C2311yescharacteristic
277C23×D4C2311yescharacteristic
278C23×D4C2311yescharacteristic
279C23×D4C2312yes—
280C23×D4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284#562—216no—
285#560—216no—
286#553—216no—
287#551—216no—
288#546—216no—
289#546—216no—
290#546—216no—
291D42—216no—
292#542—232no—
293#542—232no—
294#542—232no—
295#542—232no—
296#540—216no—
297#539—216no—
298#539—28no—
299#538—216no—
300#538—28no—
301#537—28no—
302#534—216no—
303#534—28no—
304C2×C4⋊Q8—28no—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2312yes—
309C2×#126—28no—
310C2×#126—28no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124—28no—
322C2×#124—28no—
323C2×#124—28no—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338#525—28no—
339C2×#123—28no—
340C2×#123D4116yescomplemented
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×C22⋊Q8—28no—
362C2×C22⋊Q8—28no—
363C2×C22⋊Q8—28no—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×#121—28no—
382C2×#121—28no—
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2311yescharacteristic
388C2×#121C2311yescharacteristic
389C2×#121C2311yescharacteristic
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2312yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×#120C2312yes—
421C2×#120C2314yes—
422C2×C4×Q8—28no—
423C2×C4×Q8C2314yes—
424C2×C4×Q8C2314yes—
425C2×C4×D4—28no—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×#117—28no—
441C2×#117C2314yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2314yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2311yescharacteristic
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2312yes—
472C22×C22⋊C4C2314yes—
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2311yescharacteristic
476C22×C42C2311yescharacteristic
477C22×C42C2311yescharacteristic
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480C22×C42C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#399C2312yes—
490#399C2314yes—
491#399C2312yes—
492#399C2312yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2312yes—
499#398C2314yes—
500#398C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2312yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#395C2312yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#393C2312yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#391C2312yes—
578#391C2314yes—
579#391C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2314yes—
586#391C2314yes—
587#391C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#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#388C2314yes—
642#388C2314yes—
643#388C2314yes—
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#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#384C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2314yes—
725#381C2312yes—
726#381C2314yes—
727#381C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2312yes—
740#379C2314yes—
741#379C2312yes—
742#379C2314yes—
743#379C2312yes—
744#379C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2311yescharacteristic
755C4×C22⋊C4C2311yescharacteristic
756C4×C22⋊C4C2311yescharacteristic
757C4×C22⋊C4C2311yescharacteristic
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C2×#95C2312yes—
772C2×#95C2314yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C25C2411yescharacteristic
776C25C2412yes—
777C25C2412yes—
778C2×#41—24no—
779C2×#41—28no—
780C2×#41—44no—
781C2×#41—44no—
782C2×#41—82no—
783C22×Q8—24no—
784C22×Q8—24no—
785C22×Q8—24no—
786C22×Q8—44no—
787C22×Q8—82no—
788C22×Q8—82no—
789C22×Q8C2414yes—
790C22×Q8C2411yescharacteristic
791C22×Q8C2412yes—
792C22×Q8C2414yes—
793C22×Q8C2412yes—
794C22×Q8C2412yes—
795C22×D4—24no—
796C22×D4—24no—
797C22×D4—28no—
798C22×D4—28no—
799C22×D4—28no—
800C22×D4—24no—
801C22×D4—44no—
802C22×D4—44no—
803C22×D4—44no—
804C22×D4—44no—
805C22×D4—44no—
806C22×D4—82no—
807C22×D4—82no—
808C22×D4—82no—
809C22×D4—84no—
810C22×D4C2×D418yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2412yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—44no—
840C23×C4—82no—
841C23×C4—82no—
842C23×C4C2×D418yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C4⋊Q8—216no—
872C4⋊Q8—216no—
873C4⋊Q8—82no—
874#127—28no—
875#126—216no—
876#126—216no—
877#126—28no—
878#126—28no—
879#126—28no—
880#126—216no—
881#126—216no—
882#126—28no—
883#125—28no—
884#125—28no—
885#124—216no—
886#124—216no—
887#124—216no—
888#124—216no—
889#124—216no—
890#124—216no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—48no—
895#124—82no—
896#124—82no—
897#124—82no—
898#124—84no—
899#123—28no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—28no—
904#123—216no—
905#123—216no—
906#123—28no—
907#123—28no—
908#123—28no—
909#123—28no—
910#123—28no—
911#123—48no—
912#123—44no—
913#123—44no—
914#123—44no—
915#123C2×D4116yes—
916#123C2×D4116yes—
917#123C2×D4116yes—
918#123C2×D4116yes—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—216no—
926C22⋊Q8—216no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—216no—
931C22⋊Q8—216no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—48no—
935C22⋊Q8—84no—
936#121—216no—
937#121—216no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—24no—
942#121—24no—
943#121—24no—
944#121—24no—
945#121—28no—
946#121—28no—
947#121—24no—
948#121—24no—
949#121—28no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—28no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—48no—
960#121—84no—
961#121—84no—
962#120—28no—
963#120—28no—
964#120—28no—
965#120—28no—
966#120—28no—
967#120—28no—
968#120—28no—
969#120—28no—
970#120—48no—
971#120—44no—
972#120—44no—
973#120—44no—
974#120—84no—
975C4×Q8—216no—
976C4×Q8—216no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—84no—
990C4×D4—84no—
991#117—24no—
992#117—28no—
993#117—216no—
994#117—216no—
995#117—44no—
996#117—82no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4C2×D418yes—
1007C2×C4⋊C4C2×D418yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
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⋊C4—24no—
1057C2×C22⋊C4—28no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—28no—
1061C2×C22⋊C4—28no—
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4C2×D418yes—
1066C2×C22⋊C4C2×D418yes—
1067C2×C22⋊C4C2×D418yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C42—24no—
1143C2×C42—24no—
1144C2×C42—24no—
1145C2×C42—24no—
1146C2×C42—82no—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—24no—
1202C24—24no—
1203C24—22no—
1204C24—24no—
1205C24—24no—
1206C24—24no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24—42no—
1213C24—44no—
1214C24—42no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24C22×D414yes—
1222C24C22×D414yes—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227C24C2511yescharacteristic
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231#41—816no—
1232#41—88no—
1233C2×Q8—28no—
1234C2×Q8—24no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—28no—
1239C2×Q8—28no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—44no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—416no—
1251C2×Q8—88no—
1252C2×Q8—88no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—416no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—88no—
1319C2×D4—88no—
1320C2×D4—88no—
1321C2×D4—816no—
1322C2×D4—816no—
1323C2×D4—816no—
1324C2×D4C22×D418yes—
1325C2×D4C22×D418yes—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—28no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—416no—
1381C22×C4—88no—
1382C22×C4—88no—
1383C22×C4C22×D414yes—
1384C22×C4C22×D414yes—
1385C22×C4C22×D414yes—
1386C22×C4C22×D414yes—
1387C22×C4C22×D414yes—
1388C22×C4C22×D414yes—
1389C22×C4C22×D414yes—
1390C22×C4C22×D414yes—
1391C22×C4C22×D414yes—
1392C22×C4C2514yes—
1393C22×C4C2514yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—28no—
1429C4⋊C4—28no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4C22×D418yes—
1454C4⋊C4C22×D418yes—
1455C4⋊C4C22×D418yes—
1456C4⋊C4C22×D418yes—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
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—28no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4C22×D418yes—
1526C22⋊C4C22×D418yes—
1527C22⋊C4C22×D418yes—
1528C22⋊C4C22×D418yes—
1529C22⋊C4C22×D418yes—
1530C22⋊C4C22×D418yes—
1531C42—24no—
1532C42—24no—
1533C42—28no—
1534C42—28no—
1535C42—28no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—44no—
1540C42—42no—
1541C42—42no—
1542C42—44no—
1543C42—42no—
1544C42—42no—
1545C42—44no—
1546C42—44no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—22no—
1559C23—28no—
1560C23—28no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—24no—
1567C23—24no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—48no—
1588C23—44no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—84no—
1597C23—88no—
1598C23—164no—
1599C23—164no—
1600C23—164no—
1601C23C23×D412yes—
1602C23C23×D412yes—
1603C23C23×D414yes—
1604C23C23×D412yes—
1605C23#58514yes—
1606C23C2611yescharacteristic
1607Q8—416no—
1608Q8—84no—
1609Q8—84no—
1610Q8—88no—
1611Q8—84no—
1612Q8—82no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—84no—
1622D4—84no—
1623D4—82no—
1624D4—82no—
1625D4—84no—
1626D4—84no—
1627D4—82no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—84no—
1634D4—88no—
1635D4—84no—
1636D4—88no—
1637D4—164no—
1638D4—164no—
1639C2×C4—28no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—28no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—416no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—88no—
1715C2×C4—164no—
1716C2×C4C23×D412yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D414yes—
1719C2×C4C23×D414yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×D412yes—
1722C2×C4C23×D412yes—
1723C2×C4#58514yes—
1724C22—22no—
1725C22—22no—
1726C22—28no—
1727C22—22no—
1728C22—24no—
1729C22—22no—
1730C22—24no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—24no—
1736C22—44no—
1737C22—44no—
1738C22—44no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—44no—
1754C22—44no—
1755C22—44no—
1756C22—44no—
1757C22—44no—
1758C22—44no—
1759C22—44no—
1760C22—88no—
1761C22—88no—
1762C22—88no—
1763C22—168no—
1764C22—168no—
1765C22#350014yes—
1766C22C24×D411yescharacteristic
1767C22C2×#58512yes—
1768C22C2×#58512yes—
1769C22H(7,𝔽2)12yes—
1770C4—24no—
1771C4—24no—
1772C4—24no—
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—24no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—44no—
1790C4—44no—
1791C4—44no—
1792C4—44no—
1793C2—24no—
1794C2—42no—
1795C2—44no—
1796C2—42no—
1797C2—82no—
1798C2—82no—
1799C2—82no—
1800C2—82no—
1801C2C2×#350011yescharacteristic
1802C2#6281111yescharacteristic
1803C2#6284211yescharacteristic
1804C2#6297014yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3534C2semidirect
2. C22×#542C2semidirect
3. #49585C2semidirect
4. #49584C2semidirect
5. #47209C2semidirect
6. #46421C2semidirect
7. #44455C2semidirect
8. #43898C2semidirect
9. #39716C2semidirect
10. #39449C2semidirect
11. #39389C2semidirect
12. #38906C2semidirect
13. #38901C2semidirect
14. #38900C2semidirect
15. #38028C2semidirect
16. #38020C2semidirect
17. #37449C2semidirect
18. #37233C2semidirect
19. #36967C2semidirect
20. #36961C2semidirect
21. #36716C2semidirect
22. #36582C2semidirect
23. #36340C2semidirect
24. #35592C2semidirect
25. #35469C2semidirect
26. #35466C2semidirect
27. #35377C2semidirect
28. #35076C2semidirect
29. #35019C2semidirect
30. #34957C2semidirect
31. #34238C2semidirect
33. C2×#562C22semidirect
34. C2×#560C22semidirect
36. C2×#551C22semidirect
39. C2×#546C22semidirect
42. C2×#542C22semidirect
43. C2×#542C22semidirect
44. C2×#542C22semidirect
45. C2×#542C22semidirect
46. C2×#540C22semidirect
48. C2×#539C22semidirect
50. C2×#538C22semidirect
53. C2×#534C22semidirect
54. C22×C4⋊Q8C22semidirect
55. C22×#126C22semidirect
56. C22×#126C22semidirect
58. C22×#124C22semidirect
59. C22×#124C22semidirect
62. C22×#123C22semidirect
63. C22×C22⋊Q8C22semidirect
64. C22×C22⋊Q8C22semidirect
65. C22×C22⋊Q8C22semidirect
68. C22×C4×Q8C22semidirect
69. C22×C4×D4C22semidirect
70. C22×#117C22semidirect
71. #2854C22semidirect
72. #2854C22semidirect
73. #2854C22semidirect
74. #2853C22semidirect
75. #2850C22semidirect
76. #2850C22semidirect
77. #2849C22semidirect
78. #2847C22semidirect
79. #2814C22semidirect
80. #2723C22semidirect
81. #2723C22semidirect
82. #2716C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2713C22semidirect
86. #2712C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2702C22semidirect
90. #2700C22semidirect
91. #2700C22semidirect
93. #2698C22semidirect
94. #2695C22semidirect
95. #2693C22semidirect
96. #2691C22semidirect
97. #2690C22semidirect
98. #2689C22semidirect
99. #2688C22semidirect
100. #2687C22semidirect
101. #2686C22semidirect
102. #2686C22semidirect
103. #2685C22semidirect
104. #2684C22semidirect
105. #2684C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
108. #2680C22semidirect
110. #2678C22semidirect
111. #2677C22semidirect
112. #2676C22semidirect
113. #2676C22semidirect
114. #2674C22semidirect
115. #2673C22semidirect
116. #2671C22semidirect
117. #2670C22semidirect
118. #2670C22semidirect
119. #2670C22semidirect
120. #2639C22semidirect
121. #2638C22semidirect
122. #2635C22semidirect
123. #2635C22semidirect
124. #2623C22semidirect
125. #2622C22semidirect
126. #2622C22semidirect
127. #2622C22semidirect
128. #2621C22semidirect
129. #2620C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2602C22semidirect
134. #2591C22semidirect
135. #2591C22semidirect
136. #2591C22semidirect
137. #2591C22semidirect
138. #2591C22semidirect
139. #2591C22semidirect
140. #2583C22semidirect
141. #2579C22semidirect
142. #2579C22semidirect
143. #2579C22semidirect
144. #2579C22semidirect
145. #2564C22semidirect
146. #2561C22semidirect
147. #2561C22semidirect
148. #2560C22semidirect
149. #2560C22semidirect
150. #2559C22semidirect
151. #2557C22semidirect
152. #2557C22semidirect
153. #2557C22semidirect
154. #2555C22semidirect
155. #2555C22semidirect
156. #2554C22semidirect
157. #2544C22semidirect
158. #2543C22semidirect
159. #2543C22semidirect
161. #2539C22semidirect
162. #2539C22semidirect
163. #2521C22semidirect
164. #2521C22semidirect
165. #2519C22semidirect
166. #2512C22semidirect
168. #2504C22semidirect
169. #2504C22semidirect
170. #2503C22semidirect
171. #2502C22semidirect
172. #2499C22semidirect
173. #2492C22semidirect
174. #2492C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
178. #2488C22semidirect
179. #2488C22semidirect
180. #2487C22semidirect
181. #2480C22semidirect
182. #2477C22semidirect
183. #2476C22semidirect
184. #2476C22semidirect
185. #2474C22semidirect
186. #2472C22semidirect
187. #2472C22semidirect
188. #2472C22semidirect
189. #2470C22semidirect
190. #2469C22semidirect
191. #2469C22semidirect
192. #2468C22semidirect
193. #2464C22semidirect
194. #2463C22semidirect
195. #2461C22semidirect
196. #2459C22semidirect
197. #2458C22semidirect
198. #2458C22semidirect
199. #2457C22semidirect
200. #2453C22semidirect
201. #2447C22semidirect
202. #2444C22semidirect
203. #2438C22semidirect
205. #2436C22semidirect
206. #2436C22semidirect
207. #2436C22semidirect
208. #2436C22semidirect
209. #2435C22semidirect
210. #2435C22semidirect
211. #2434C22semidirect
212. #2432C22semidirect
213. #2427C22semidirect
214. #2426C22semidirect
215. #2424C22semidirect
216. #2418C22semidirect
217. #2414C22semidirect
218. #2413C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
221. #2411C22semidirect
222. #2411C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2409C22semidirect
227. #2409C22semidirect
228. #2408C22semidirect
229. #2406C22semidirect
230. #2405C22semidirect
231. #2405C22semidirect
232. #2404C22semidirect
233. #2403C22semidirect
234. #2403C22semidirect
235. #2395C22semidirect
236. #2388C22semidirect
237. #2374C22semidirect
238. #2367C22semidirect
239. #2362C22semidirect
240. #2359C22semidirect
241. #2359C22semidirect
242. #2345C22semidirect
243. #2342C22semidirect
244. #2342C22semidirect
245. #2342C22semidirect
247. #2335C22semidirect
248. #2321C22semidirect
249. #2321C22semidirect
250. #2321C22semidirect
251. #2313C22semidirect
252. #2312C22semidirect
253. #2311C22semidirect
254. #2308C22semidirect
255. #2308C22semidirect
256. #2308C22semidirect
257. C4×#123C22semidirect
258. C4×#123C22semidirect
259. C4×#123C22semidirect
260. C4×#123C22semidirect
261. C4×#121C22semidirect
262. C4×#120C22semidirect
263. #2297C22semidirect
264. C2×#386C22semidirect
265. #2280C22semidirect
266. #2274C22semidirect
267. #2273C22semidirect
268. C2×C4×C22⋊C4C22semidirect
340. C2×#123D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35342
C22×#5422
#495852
#495842
#472092
#464212
#444552
#438982
#397162
#394492
#393892
#389062
#389012
#389002
#380282
#380202
#374492
#372332
#369672
#369612
#367162
#365822
#363402
#355922
#354692
#354662
#353772
#350762
#350192
#349572
#342382