Finite Group Databasebeta

← #7732531

Subgroups — #7732531

Order 512.

7316 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3459C211yesmaximal, characteristic, complemented
3#48790C214yesmaximal, complemented
4#48789C214yesmaximal, complemented
5#46827C214yesmaximal, complemented
6#46826C214yesmaximal, complemented
7#43489C214yesmaximal, complemented
8#43017C214yesmaximal, complemented
9#38922C212yesmaximal, complemented
10#38914C212yesmaximal, complemented
11#38042C212yesmaximal, complemented
12#38041C212yesmaximal, complemented
13#37845C212yesmaximal, complemented
14#37836C212yesmaximal, complemented
15#37771C212yesmaximal, complemented
16#37754C212yesmaximal, complemented
17#37698C212yesmaximal, complemented
18#37678C212yesmaximal, complemented
19#37439C211yesmaximal, characteristic, complemented
20#37281C212yesmaximal, complemented
21#37269C212yesmaximal, complemented
22#36157C212yesmaximal, complemented
23#36153C212yesmaximal, complemented
24#35522C212yesmaximal, complemented
25#35516C212yesmaximal, complemented
26#35263C211yesmaximal, characteristic, complemented
27#35000C211yesmaximal, characteristic, complemented
28C2×#2485C211yesmaximal, characteristic, complemented
29#34360C211yesmaximal, characteristic, complemented
30#3494—216no—
31C2×#555C2212yescomplemented
32C2×#553C2212yescomplemented
33C2×#553C2212yescomplemented
34C2×#551C2214yescomplemented
35C2×#547C2212yescomplemented
36C2×#546C2214yescomplemented
37C2×#546C2214yescomplemented
38#3459—216no—
39C2×#544C2211yescharacteristic, complemented
40C2×#543C2211yescharacteristic, complemented
41C2×#542C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#539C2212yes—
44C2×#539C2211yescharacteristic, complemented
45C2×#539C2211yescharacteristic, complemented
46C2×#539C2212yescomplemented
47C2×#538C2212yes—
48C2×#538C2212yes—
49C2×#538C2212yescomplemented
50C2×#535C2211yescharacteristic, complemented
51C2×#534C2212yes—
52C2×#534C2212yes—
53C2×#534C2211yescharacteristic, complemented
54C2×#532C2212yes—
55C2×#529C2212yes—
56C2×#529C2212yescomplemented
57C2×#529C2212yescomplemented
58C2×#529C2212yescomplemented
59C2×#525C2211yescharacteristic
60C2×#525C2212yes—
61C2×#525C2211yescharacteristic
62C2×#525C2212yescomplemented
63C22×#121C2211yescharacteristic, complemented
64C2×#520C2211yescharacteristic, complemented
65C2×#518C2211yescharacteristic, complemented
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2212yescomplemented
68C22×#117C2211yescharacteristic, complemented
69#2857C2212yescomplemented
70#2855C2212yescomplemented
71#2854C2212yescomplemented
72#2854C2212yescomplemented
73#2851C2212yescomplemented
74#2847C2212yes—
75#2847C2212yescomplemented
76#2847C2212yescomplemented
77#2813C2214yescomplemented
78#2730C2214yescomplemented
79#2730C2214yescomplemented
80#2727C2214yescomplemented
81#2725C2214yescomplemented
82#2723C2214yescomplemented
83#2723C2214yescomplemented
84#2721C2214yescomplemented
85#2721C2214yescomplemented
86#2720C2214yescomplemented
87#2718C2214yescomplemented
88#2715C2214yescomplemented
89#2715C2214yescomplemented
90#2713C2214yescomplemented
91#2710C2214yescomplemented
92#2709C2214yescomplemented
93#2705C2214yescomplemented
94#2702C2214yescomplemented
95#2700C2214yescomplemented
96#2700C2214yescomplemented
97#2697C2214yescomplemented
98#2695C2214yescomplemented
99#2693C2214yescomplemented
100#2690C2214yescomplemented
101#2689C2214yescomplemented
102#2688C2214yescomplemented
103#2686C2214yescomplemented
104#2680C2214yescomplemented
105#2679C2214yescomplemented
106#2674C2214yescomplemented
107#2672C2214yes—
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2670C2214yescomplemented
114#2669C2214yescomplemented
115#2668C2214yes—
116#2668C2214yescomplemented
117#2668C2214yescomplemented
118#2656C2212yes—
119#2639C2212yescomplemented
120#2629C2212yescomplemented
121#2628C2212yescomplemented
122#2626C2212yescomplemented
123#2625C2212yescomplemented
124#2624C2212yescomplemented
125#2624C2212yescomplemented
126#2624C2212yescomplemented
127#2624C2212yescomplemented
128#2618C2212yescomplemented
129#2617C2212yes—
130#2617C2212yescomplemented
131#2615C2212yescomplemented
132#2584C2212yescomplemented
133#2580C2212yescomplemented
134#2567C2212yescomplemented
135#2562C2212yescomplemented
136#2557C2214yescomplemented
137#2555C2214yescomplemented
138#2553C2214yescomplemented
139#2547C2212yescomplemented
140#2543C2214yescomplemented
141#2543C2214yescomplemented
142#2538C2212yescomplemented
143#2537C2214yescomplemented
144#2537C2212yescomplemented
145#2535C2212yescomplemented
146#2534C2214yescomplemented
147#2501C2214yescomplemented
148#2498C2214yescomplemented
149#2488C2214yescomplemented
150#2487C2212yescomplemented
151#2487C2212yescomplemented
152#2487C2212yescomplemented
153#2486C2212yescomplemented
154#2486C2212yescomplemented
155#2486C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2214yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2214yescomplemented
166#2481C2214yescomplemented
167#2480C2214yescomplemented
168#2477C2214yescomplemented
169#2472C2214yescomplemented
170#2471C2214yescomplemented
171#2467C2214yescomplemented
172#2467C2214yescomplemented
173#2466C2214yescomplemented
174#2463C2214yescomplemented
175#2460C2214yescomplemented
176#2457C2214yescomplemented
177#2456C2214yescomplemented
178#2455C2214yescomplemented
179#2450C2214yescomplemented
180#2449C2214yescomplemented
181#2444C2214yescomplemented
182#2441C2214yescomplemented
183#2430C2214yescomplemented
184#2427C2214yescomplemented
185#2427C2214yescomplemented
186#2425C2214yescomplemented
187#2425C2214yescomplemented
188#2425C2214yescomplemented
189#2425C2214yescomplemented
190#2424C2214yes—
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2423C2214yescomplemented
194#2422C2214yes—
195#2422C2214yescomplemented
196#2421C2214yescomplemented
197#2420C2214yescomplemented
198#2419C2214yescomplemented
199#2419C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2417C2214yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2214yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2415C2214yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2412C2214yescomplemented
216#2412C2214yescomplemented
217#2412C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2406C2214yescomplemented
223C2×#397C2212yescomplemented
224C2×#394C2212yes—
225#2376C2214yescomplemented
226#2364C2214yescomplemented
227#2358C2214yescomplemented
228#2358C2214yescomplemented
229#2352C2212yescomplemented
230#2352C2212yescomplemented
231D4×C4⋊C4C2212yescomplemented
232D4×C4⋊C4C2212yescomplemented
233#2339C2214yescomplemented
234#2329C2212yescomplemented
235#2329C2212yescomplemented
236#2325C2212yescomplemented
237#2325C2212yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2317C2212yescomplemented
241#2316C2211yescharacteristic, complemented
242#2316C2211yescharacteristic, complemented
243#2316C2212yescomplemented
244#2314C2212yescomplemented
245#2311C2212yescomplemented
246#2311C2211yescharacteristic, complemented
247#2311C2211yescharacteristic, complemented
248#2308C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C2×#389C2211yescharacteristic, complemented
252C2×#389C2211yescharacteristic, complemented
253C2×#388C2212yescomplemented
254C2×#387C2212yescomplemented
255#2280C2212yescomplemented
256C2×#380C2211yescharacteristic, complemented
257C2×#380C2211yescharacteristic, complemented
258C2×#380C2211yescharacteristic, complemented
259C2×#380C2212yescomplemented
260C2×#380C2211yescharacteristic, complemented
261C22×#41C2311yescharacteristic
262C22×#41C2314yes—
263C22×#41C2311yescharacteristic
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C23×D4C2312yes—
267C23×D4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2312yes—
270C24×C4C2311yescharacteristic
271#555—216no—
272#553—216no—
273#553—216no—
274#551—232no—
275#547—216no—
276#546—232no—
277#546—416no—
278#544—28no—
279#543—28no—
280#542—216no—
281#540—216no—
282#539—216no—
283#539—28no—
284#539—216no—
285#539—28no—
286#538—216no—
287#538—216no—
288#538—216no—
289#535—28no—
290#534—28no—
291#534—216no—
292#534—48no—
293#532—216no—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×#127C2312yes—
297#529—216no—
298#529—216no—
299#529—216no—
300#529—216no—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2314yes—
321#525—216no—
322#525—28no—
323#525—216no—
324#525D4116yescomplemented
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×#121—28no—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#120C2314yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2312yes—
404#520—28no—
405#518—28no—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×D4—28no—
409C2×C4×D4—216no—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×#117—28no—
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2314yes—
449C2×#117C2312yes—
450C2×#117C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2314yes—
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2314yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C42C2312yes—
477C22×C42C2311yescharacteristic
478C22×C42C2312yes—
479#400C2314yes—
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2314yes—
490#399C2314yes—
491#399C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
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#394C2314yes—
555#394C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
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#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2314yes—
692#384C2312yes—
693#384C2314yes—
694#382C2312yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2314yes—
748C2×#95C2312yes—
749C2×#95C2312yes—
750C2×#95C2312yes—
751C25C2412yes—
752C25C2411yescharacteristic
753C25C2411yescharacteristic
754C25C2412yes—
755C2×#41—216no—
756C2×#41—24no—
757C2×#41—42no—
758C2×#41—42no—
759C2×#41—42no—
760C2×#41—42no—
761C2×#41—48no—
762C2×#41—48no—
763C2×#41C2×D418yes—
764C22×Q8C2412yes—
765C22×Q8C2411yescharacteristic
766C22×Q8C2414yes—
767C22×Q8C2411yescharacteristic
768C22×D4—24no—
769C22×D4—24no—
770C22×D4—28no—
771C22×D4—28no—
772C22×D4—28no—
773C22×D4—24no—
774C22×D4—42no—
775C22×D4—42no—
776C22×D4—42no—
777C22×D4—44no—
778C22×D4—44no—
779C22×D4—44no—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2411yescharacteristic
803C23×C4—24no—
804C23×C4—28no—
805C23×C4—42no—
806C23×C4—42no—
807C23×C4—42no—
808C23×C4—42no—
809C23×C4—44no—
810C23×C4—44no—
811C23×C4C2×D418yes—
812C23×C4C2412yes—
813C23×C4C2411yescharacteristic
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C4⋊Q8—28no—
842C4⋊Q8—28no—
843#127—28no—
844#126—28no—
845#126—28no—
846#126—216no—
847#126—216no—
848#126—28no—
849#126—28no—
850#126—28no—
851#126—28no—
852#125—28no—
853#125—28no—
854#125—28no—
855#125—28no—
856#125—28no—
857#124—28no—
858#124—28no—
859#124—28no—
860#124—28no—
861#124—216no—
862#124—216no—
863#124—48no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—28no—
868#123—28no—
869#123—28no—
870#123—28no—
871#123—28no—
872#123—28no—
873#123—28no—
874#123—28no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—216no—
879#123—48no—
880#123—48no—
881#123—48no—
882#123—48no—
883#123C2×D4116yes—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—216no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—216no—
895C22⋊Q8—48no—
896C22⋊Q8—84no—
897C22⋊Q8C2×D418yes—
898C22⋊Q8C2×D418yes—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—216no—
906#121—216no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—28no—
911#121—24no—
912#121—24no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—28no—
917#121—48no—
918#121—48no—
919#121—48no—
920#121—48no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—48no—
927#121—84no—
928#121C2×D418yes—
929#121C2×D418yes—
930#120—28no—
931#120—216no—
932#120—28no—
933#120—28no—
934#120—28no—
935#120—216no—
936#120—28no—
937#120—48no—
938#120—48no—
939#120—84no—
940#120—84no—
941#120C2×D4116yes—
942C4×Q8—28no—
943C4×Q8—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—216no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—216no—
961C4×D4—216no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—84no—
968C4×D4—84no—
969C4×D4C2×D4116yes—
970C4×D4C2×D4116yes—
971#117—24no—
972#117—24no—
973#117—28no—
974#117—28no—
975#117—24no—
976#117—24no—
977#117—28no—
978#117—28no—
979#117—24no—
980#117—216no—
981#117—28no—
982#117—44no—
983#117C2×D418yes—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—28no—
989C2×C4⋊C4—28no—
990C2×C4⋊C4—42no—
991C2×C4⋊C4—42no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—42no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—82no—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C22⋊C4—28no—
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—28no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4—28no—
1057C2×C22⋊C4—28no—
1058C2×C22⋊C4—28no—
1059C2×C22⋊C4—216no—
1060C2×C22⋊C4—44no—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4—82no—
1063C2×C22⋊C4—82no—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
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⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C42—28no—
1131C2×C42—24no—
1132C2×C42—28no—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
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—
1179#95C2414yes—
1180#95C2414yes—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—24no—
1186C24—24no—
1187C24—24no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—42no—
1195C24—42no—
1196C24—41no—
1197C24—41no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24—42no—
1207C24C22×D414yes—
1208C24H(5,𝔽2)14yes—
1209C24C2512yes—
1210C24C2514yes—
1211C24C2511yescharacteristic
1212C24C2512yes—
1213C24C2511yescharacteristic
1214C24C2512yes—
1215C24C2511yescharacteristic
1216#41—416no—
1217#41—88no—
1218#41—832no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—28no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×Q8—44no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—41no—
1228C2×Q8—41no—
1229C2×Q8—44no—
1230C2×Q8C22×D414yes—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—416no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—432no—
1298C2×D4—416no—
1299C2×D4—816no—
1300C2×D4C22×D418yes—
1301C2×D4C22×D418yes—
1302C2×D4C22×D414yes—
1303C2×D4C22×D418yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—28no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—28no—
1338C22×C4—28no—
1339C22×C4—24no—
1340C22×C4—416no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—41no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—88no—
1386C22×C4—816no—
1387C22×C4C22×D414yes—
1388C22×C4C22×D414yes—
1389C22×C4C22×D418yes—
1390C22×C4C22×D414yes—
1391C22×C4C22×D414yes—
1392C22×C4C22×D414yes—
1393C22×C4C22×D414yes—
1394C22×C4C2514yes—
1395C22×C4C2514yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4C22×D418yes—
1468C4⋊C4C22×D418yes—
1469C4⋊C4C22×D414yes—
1470C4⋊C4C22×D414yes—
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—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
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⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4C22×D418yes—
1533C22⋊C4C22×D418yes—
1534C22⋊C4C22×D418yes—
1535C22⋊C4C22×D418yes—
1536C22⋊C4C22×D418yes—
1537C42—24no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—28no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42C22×D418yes—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—21no—
1557C23—22no—
1558C23—21no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—21no—
1574C23—22no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—21no—
1579C23—28no—
1580C23—28no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—24no—
1585C23—24no—
1586C23—24no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—48no—
1600C23—48no—
1601C23—48no—
1602C23—82no—
1603C23—84no—
1604C23—82no—
1605C23—82no—
1606C23—82no—
1607C23—82no—
1608C23—82no—
1609C23—82no—
1610C23—82no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—162no—
1618C23—162no—
1619C23—162no—
1620C23—162no—
1621C23C23×D412yes—
1622C23C23×D412yes—
1623C23C23×D414yes—
1624C23C23×D412yes—
1625C23C2×H(5,𝔽2)14yes—
1626C23C2×H(5,𝔽2)12yes—
1627C23#58512yes—
1628C23C2611yescharacteristic
1629Q8—44no—
1630Q8—84no—
1631Q8—82no—
1632Q8—88no—
1633D4—216no—
1634D4—48no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—48no—
1640D4—48no—
1641D4—48no—
1642D4—48no—
1643D4—416no—
1644D4—48no—
1645D4—82no—
1646D4—88no—
1647D4—84no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—84no—
1653D4—88no—
1654D4—164no—
1655D4—164no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—28no—
1669C2×C4—28no—
1670C2×C4—28no—
1671C2×C4—216no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—48no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—88no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—84no—
1732C2×C4—82no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—82no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—88no—
1739C2×C4—162no—
1740C2×C4—164no—
1741C2×C4—162no—
1742C2×C4C23×D412yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D414yes—
1746C2×C4C23×D414yes—
1747C2×C4C23×D414yes—
1748C2×C4C23×D412yes—
1749C2×C4#58512yes—
1750C2×C4#58512yes—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—24no—
1766C22—22no—
1767C22—24no—
1768C22—24no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—41no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—42no—
1786C22—44no—
1787C22—44no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—44no—
1792C22—42no—
1793C22—44no—
1794C22—42no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—44no—
1799C22—88no—
1800C22—88no—
1801C22—816no—
1802C22—168no—
1803C22#348814yes—
1804C22C24×D411yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22H(7,𝔽2)11yescharacteristic
1810C222−1+611yescharacteristic
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—24no—
1815C4—24no—
1816C4—24no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—44no—
1829C4—44no—
1830C4—44no—
1831C4—44no—
1832C4#348514yes—
1833C2—24no—
1834C2—42no—
1835C2—44no—
1836C2—44no—
1837C2—42no—
1838C2—82no—
1839C2—84no—
1840C2C2×#348511yescharacteristic
1841C2C2×#348811yescharacteristic
1842C2#6285311yescharacteristic
1843C2#6290111yescharacteristic
1844C2#6290511yescharacteristic
1845C2#6291011yescharacteristic
1846C2#6291111yescharacteristic
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×#3494C2semidirect
2. C2×#3459C2semidirect
3. #48790C2semidirect
4. #48789C2semidirect
5. #46827C2semidirect
6. #46826C2semidirect
7. #43489C2semidirect
8. #43017C2semidirect
9. #38922C2semidirect
10. #38914C2semidirect
11. #38042C2semidirect
12. #38041C2semidirect
13. #37845C2semidirect
14. #37836C2semidirect
15. #37771C2semidirect
16. #37754C2semidirect
17. #37698C2semidirect
18. #37678C2semidirect
19. #37439C2semidirect
20. #37281C2semidirect
21. #37269C2semidirect
22. #36157C2semidirect
23. #36153C2semidirect
24. #35522C2semidirect
25. #35516C2semidirect
26. #35263C2semidirect
27. #35000C2semidirect
28. C2×#2485C2semidirect
29. #34360C2semidirect
31. C2×#555C22semidirect
32. C2×#553C22semidirect
33. C2×#553C22semidirect
34. C2×#551C22semidirect
35. C2×#547C22semidirect
36. C2×#546C22semidirect
37. C2×#546C22semidirect
39. C2×#544C22semidirect
40. C2×#543C22semidirect
41. C2×#542C22semidirect
42. C2×#540C22semidirect
44. C2×#539C22semidirect
45. C2×#539C22semidirect
46. C2×#539C22semidirect
49. C2×#538C22semidirect
50. C2×#535C22semidirect
53. C2×#534C22semidirect
56. C2×#529C22semidirect
57. C2×#529C22semidirect
58. C2×#529C22semidirect
62. C2×#525C22semidirect
63. C22×#121C22semidirect
64. C2×#520C22semidirect
65. C2×#518C22semidirect
67. C22×C4×D4C22semidirect
68. C22×#117C22semidirect
69. #2857C22semidirect
70. #2855C22semidirect
71. #2854C22semidirect
72. #2854C22semidirect
73. #2851C22semidirect
75. #2847C22semidirect
76. #2847C22semidirect
77. #2813C22semidirect
78. #2730C22semidirect
79. #2730C22semidirect
80. #2727C22semidirect
81. #2725C22semidirect
82. #2723C22semidirect
83. #2723C22semidirect
84. #2721C22semidirect
85. #2721C22semidirect
86. #2720C22semidirect
87. #2718C22semidirect
88. #2715C22semidirect
89. #2715C22semidirect
90. #2713C22semidirect
91. #2710C22semidirect
92. #2709C22semidirect
93. #2705C22semidirect
94. #2702C22semidirect
95. #2700C22semidirect
96. #2700C22semidirect
97. #2697C22semidirect
98. #2695C22semidirect
99. #2693C22semidirect
100. #2690C22semidirect
101. #2689C22semidirect
102. #2688C22semidirect
103. #2686C22semidirect
104. #2680C22semidirect
105. #2679C22semidirect
106. #2674C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2670C22semidirect
114. #2669C22semidirect
116. #2668C22semidirect
117. #2668C22semidirect
119. #2639C22semidirect
120. #2629C22semidirect
121. #2628C22semidirect
122. #2626C22semidirect
123. #2625C22semidirect
124. #2624C22semidirect
125. #2624C22semidirect
126. #2624C22semidirect
127. #2624C22semidirect
128. #2618C22semidirect
130. #2617C22semidirect
131. #2615C22semidirect
132. #2584C22semidirect
133. #2580C22semidirect
134. #2567C22semidirect
135. #2562C22semidirect
136. #2557C22semidirect
137. #2555C22semidirect
138. #2553C22semidirect
139. #2547C22semidirect
140. #2543C22semidirect
141. #2543C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
145. #2535C22semidirect
146. #2534C22semidirect
147. #2501C22semidirect
148. #2498C22semidirect
149. #2488C22semidirect
150. #2487C22semidirect
151. #2487C22semidirect
152. #2487C22semidirect
153. #2486C22semidirect
154. #2486C22semidirect
155. #2486C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2481C22semidirect
167. #2480C22semidirect
168. #2477C22semidirect
169. #2472C22semidirect
170. #2471C22semidirect
171. #2467C22semidirect
172. #2467C22semidirect
173. #2466C22semidirect
174. #2463C22semidirect
175. #2460C22semidirect
176. #2457C22semidirect
177. #2456C22semidirect
178. #2455C22semidirect
179. #2450C22semidirect
180. #2449C22semidirect
181. #2444C22semidirect
182. #2441C22semidirect
183. #2430C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2425C22semidirect
187. #2425C22semidirect
188. #2425C22semidirect
189. #2425C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2423C22semidirect
195. #2422C22semidirect
196. #2421C22semidirect
197. #2420C22semidirect
198. #2419C22semidirect
199. #2419C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2417C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2412C22semidirect
216. #2412C22semidirect
217. #2412C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2406C22semidirect
223. C2×#397C22semidirect
225. #2376C22semidirect
226. #2364C22semidirect
227. #2358C22semidirect
228. #2358C22semidirect
229. #2352C22semidirect
230. #2352C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
233. #2339C22semidirect
234. #2329C22semidirect
235. #2329C22semidirect
236. #2325C22semidirect
237. #2325C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2317C22semidirect
241. #2316C22semidirect
242. #2316C22semidirect
243. #2316C22semidirect
244. #2314C22semidirect
245. #2311C22semidirect
246. #2311C22semidirect
247. #2311C22semidirect
248. #2308C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C2×#389C22semidirect
252. C2×#389C22semidirect
253. C2×#388C22semidirect
254. C2×#387C22semidirect
255. #2280C22semidirect
256. C2×#380C22semidirect
257. C2×#380C22semidirect
258. C2×#380C22semidirect
259. C2×#380C22semidirect
260. C2×#380C22semidirect
324. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34592
#487902
#487892
#468272
#468262
#434892
#430172
#389222
#389142
#380422
#380412
#378452
#378362
#377712
#377542
#376982
#376782
#374392
#372812
#372692
#361572
#361532
#355222
#355162
#352632
#350002
C2×#24852
#343602