Finite Group Databasebeta

← #7632213

Subgroups — #7632213

Order 512.

8601 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C22×#520C211yesmaximal, characteristic, complemented
3#36546C213yesmaximal, complemented
4Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
5#36441C213yesmaximal, complemented
6#36434C211yesmaximal, characteristic, complemented
7#36429C211yesmaximal, characteristic, complemented
8#36428C211yesmaximal, characteristic, complemented
9#36103C213yesmaximal, complemented
10#36100C213yesmaximal, complemented
11#36005C211yesmaximal, characteristic, complemented
12#35996C211yesmaximal, characteristic, complemented
13#35831C211yesmaximal, characteristic, complemented
14#35778C213yesmaximal, complemented
15#35748C211yesmaximal, characteristic, complemented
16#35724C213yesmaximal, complemented
17#35715C213yesmaximal, complemented
18#35693C213yesmaximal, complemented
19#35606C213yesmaximal, complemented
20#35600C213yesmaximal, complemented
21#35535C213yesmaximal, complemented
22#35520C213yesmaximal, complemented
23#35260C213yesmaximal, complemented
24#35225C213yesmaximal, complemented
25#34740C213yesmaximal, complemented
26#34681C213yesmaximal, complemented
27#34313C211yesmaximal, characteristic, complemented
28#34294C211yesmaximal, characteristic, complemented
29#34294C211yesmaximal, characteristic, complemented
30#34263C211yesmaximal, characteristic, complemented
31C4×D4×Q8C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33#3522—216no—
34C2×#559C2213yescomplemented
35C2×Q82C2211yescharacteristic, complemented
36C2×#554C2213yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic, complemented
44C2×#547C2213yescomplemented
45C2×#547C2213yescomplemented
46C2×#542C2213yescomplemented
47C2×#542C2213yescomplemented
48C2×#532C2213yescomplemented
49C2×#529C2213yescomplemented
50C2×#525C2216yes—
51C2×#520—216no—
52C2×#520C2211yescharacteristic
53C2×#520C2213yes—
54C2×#520C2213yes—
55C2×#520C2213yes—
56C2×#520C2211yescharacteristic
57C2×#520C2211yescharacteristic
58C2×#520C2213yes—
59C2×#520C2211yescharacteristic
60C2×#520C2211yescharacteristic, complemented
61C22×C4×Q8C2211yescharacteristic
62C22×C4×Q8C2211yescharacteristic
63C22×C4×Q8C2211yescharacteristic, complemented
64C22×C4×D4C2213yes—
65C22×C4×D4C2213yes—
66C22×#117C2213yes—
67C23×C4⋊C4C2213yes—
68#2857C2213yes—
69#2850C2213yes—
70#2849C2216yes—
71#2848C2216yes—
72#2848C2213yes—
73#2847C2213yes—
74#2638C2216yescomplemented
75#2630C2216yescomplemented
76#2628C2213yescomplemented
77#2625C2213yescomplemented
78#2624C2213yescomplemented
79#2620C2213yescomplemented
80#2602C2216yescomplemented
81#2600C2216yescomplemented
82#2583C2216yescomplemented
83#2582C2213yescomplemented
84#2580C2213yescomplemented
85#2579C2216yescomplemented
86#2567C2213yescomplemented
87#2545C2213yescomplemented
88#2544C2213yescomplemented
89#2542C2213yescomplemented
90#2537C2213yescomplemented
91#2536C2213yescomplemented
92#2502C2213yescomplemented
93#2501C2213yescomplemented
94#2487C2213yescomplemented
95#2486C2213yescomplemented
96#2481C2213yes—
97#2480C2213yes—
98#2479C2213yescomplemented
99#2479C2216yescomplemented
100#2478C2213yescomplemented
101#2477C2216yescomplemented
102#2477C2213yescomplemented
103#2476C2213yescomplemented
104#2475C2213yescomplemented
105#2474C2216yescomplemented
106#2474C2213yescomplemented
107#2473C2213yes—
108#2473C2216yescomplemented
109#2472C2213yes—
110#2472C2216yes—
111#2471C2213yescomplemented
112#2470C2213yescomplemented
113#2470C2216yescomplemented
114#2468C2216yescomplemented
115#2464C2216yescomplemented
116#2461C2216yescomplemented
117#2461C2216yescomplemented
118#2459C2216yescomplemented
119#2455C2216yescomplemented
120#2455C2216yescomplemented
121#2455C2216yescomplemented
122#2452C2213yescomplemented
123#2452C2213yescomplemented
124#2451C2213yescomplemented
125#2451C2213yescomplemented
126#2449C2216yes—
127#2449C2211yescharacteristic
128#2449C2216yescomplemented
129#2449C2216yescomplemented
130#2447C2213yescomplemented
131#2447C2213yescomplemented
132#2445C2213yescomplemented
133#2445C2213yescomplemented
134#2443C2213yes—
135#2443C2216yescomplemented
136#2440C2213yes—
137#2440C2213yes—
138#2440C2213yescomplemented
139#2440C2213yescomplemented
140#2435C2213yes—
141#2433C2213yes—
142#2432C2213yes—
143#2432C2213yes—
144#2431C2213yes—
145#2431C2213yes—
146#2429C2213yescomplemented
147#2428C2213yescomplemented
148#2427C2213yescomplemented
149#2426C2213yescomplemented
150#2424C2213yes—
151#2422C2213yescomplemented
152#2422C2213yescomplemented
153#2422C2213yescomplemented
154#2422C2213yescomplemented
155#2418C2213yes—
156#2418C2216yes—
157#2417C2213yes—
158#2417C2213yescomplemented
159#2416C2213yes—
160#2416C2213yescomplemented
161#2415C2216yescomplemented
162#2413C2216yescomplemented
163#2408C2213yes—
164#2408C2213yes—
165#2407C2213yes—
166#2407C2213yes—
167#2407C2213yes—
168#2407C2213yes—
169#2407C2216yescomplemented
170#2406C2216yescomplemented
171#2396C2213yescomplemented
172#2395C2213yescomplemented
173#2395C2213yescomplemented
174#2392C2213yescomplemented
175#2392C2216yescomplemented
176#2388C2216yescomplemented
177#2367C2213yescomplemented
178#2367C2213yescomplemented
179#2366C2213yescomplemented
180#2365C2213yescomplemented
181#2361C2213yes—
182#2361C2213yescomplemented
183#2361C2213yescomplemented
184#2361C2213yescomplemented
185#2360C2213yes—
186#2360C2213yescomplemented
187#2360C2213yescomplemented
188#2360C2213yescomplemented
189#2357C2213yescomplemented
190#2354C2213yescomplemented
191#2351C2211yescharacteristic, complemented
192Q8×C4⋊C4C2211yescharacteristic, complemented
193Q8×C4⋊C4C2211yescharacteristic, complemented
194Q8×C4⋊C4C2211yescharacteristic, complemented
195Q8×C4⋊C4C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197D4×C4⋊C4C2213yes—
198D4×C4⋊C4C2213yes—
199D4×C4⋊C4C2213yescomplemented
200D4×C4⋊C4C2213yescomplemented
201#2345C2213yescomplemented
202#2344C2213yescomplemented
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206#2341C2211yescharacteristic
207#2341C2211yescharacteristic, complemented
208#2341C2211yescharacteristic, complemented
209Q8×C22⋊C4C2211yescharacteristic
210Q8×C22⋊C4C2211yescharacteristic
211Q8×C22⋊C4C2211yescharacteristic, complemented
212Q8×C22⋊C4C2211yescharacteristic, complemented
213#2326C2213yescomplemented
214#2326C2213yescomplemented
215#2324C2213yescomplemented
216#2324C2213yescomplemented
217#2323C2213yescomplemented
218#2323C2213yescomplemented
219#2319C2213yescomplemented
220#2314C2213yescomplemented
221C4×C4⋊Q8C2213yescomplemented
222C4×#127C2213yescomplemented
223C4×C22⋊Q8C2213yes—
224C4×C22⋊Q8C2213yes—
225C4×C22⋊Q8C2213yescomplemented
226C4×#121C2213yes—
227C4×#121C2213yes—
228C4×#121C2213yescomplemented
229C4×#120C2213yes—
230C4×#120C2213yes—
231C4×#120C2216yes—
232#2298C2213yescomplemented
233#2293C2213yescomplemented
234#2293C2213yescomplemented
235#2290C2213yes—
236#2290C2213yescomplemented
237#2276C2211yescharacteristic, complemented
238C42×Q8C2211yescharacteristic, complemented
239C42×D4C2213yes—
240C22×#41—28no—
241C22×#41—28no—
242C22×#41—28no—
243C22×#41C2313yes—
244C22×#41C2313yes—
245C22×#41C2311yescharacteristic
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2316yes—
249C23×Q8C2311yescharacteristic
250C23×Q8C2311yescharacteristic
251C23×D4C2313yes—
252C24×C4C2313yes—
253C24×C4C2316yes—
254#559—224no—
255Q82—28no—
256#554—224no—
257#550—28no—
258#550—28no—
259D4×Q8—28no—
260#548—28no—
261#548—28no—
262#548—28no—
263#548—28no—
264#547—224no—
265#547—224no—
266#542—224no—
267#542—224no—
268#532—224no—
269C2×C4⋊Q8C2313yes—
270C2×C4⋊Q8C2313yes—
271C2×C4⋊Q8C2313yes—
272C2×C4⋊Q8C2313yes—
273C2×#127C2313yes—
274C2×#127C2313yes—
275#529—224no—
276C2×#126C2313yes—
277C2×#126C2313yes—
278C2×#125C2313yes—
279C2×#124C2313yes—
280C2×#124C2313yes—
281C2×#124C2313yes—
282C2×#124C2313yes—
283C2×#124C2316yes—
284C2×#124C2313yes—
285#525—424no—
286C2×#123C2316yes—
287C2×#123C2313yes—
288C2×#123C2313yes—
289C2×#123C2316yes—
290C2×#123C2316yes—
291C2×#123C2316yes—
292C2×#123C2316yes—
293C2×C22⋊Q8C2313yes—
294C2×C22⋊Q8C2313yes—
295C2×C22⋊Q8C2316yes—
296C2×C22⋊Q8C2313yes—
297C2×C22⋊Q8C2313yes—
298C2×C22⋊Q8C2313yes—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2313yes—
301C2×C22⋊Q8C2316yes—
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2316yes—
304C2×C22⋊Q8C2316yes—
305C2×C22⋊Q8C2316yes—
306C2×#121C2313yes—
307C2×#121C2313yes—
308C2×#121C2313yes—
309C2×#121C2313yes—
310C2×#121C2313yes—
311C2×#121C2313yes—
312C2×#121C2313yes—
313C2×#121C2313yes—
314C2×#121C2313yes—
315C2×#121C2313yes—
316C2×#121C2316yes—
317C2×#120C2313yes—
318C2×#120C2313yes—
319C2×#120C2316yes—
320#520—28no—
321#520—28no—
322#520—28no—
323#520—28no—
324#520—224no—
325#520—224no—
326#520—224no—
327#520—224no—
328#520D4116yescomplemented
329C2×C4×Q8—28no—
330C2×C4×Q8—28no—
331C2×C4×Q8—28no—
332C2×C4×Q8C2313yes—
333C2×C4×Q8C2313yes—
334C2×C4×Q8C2313yes—
335C2×C4×Q8C2313yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2313yes—
345C2×C4×Q8C2313yes—
346C2×C4×Q8C2313yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×D4—224no—
350C2×C4×D4—224no—
351C2×C4×D4C2313yes—
352C2×C4×D4C2313yes—
353C2×C4×D4C2316yes—
354C2×C4×D4C2313yes—
355C2×C4×D4C2316yes—
356C2×C4×D4C2313yes—
357C2×C4×D4C2313yes—
358C2×C4×D4C2313yes—
359C2×C4×D4C2313yes—
360C2×C4×D4C2313yes—
361C2×C4×D4C2313yes—
362C2×C4×D4C2313yes—
363C2×C4×D4C2316yes—
364C2×C4×D4C2313yes—
365C2×C4×D4C2313yes—
366C2×C4×D4C2313yes—
367C2×C4×D4C2313yes—
368C2×C4×D4C2313yes—
369C2×C4×D4C2313yes—
370C2×C4×D4C2316yes—
371C2×C4×D4C2316yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2316yes—
374C2×C4×D4C2316yes—
375C2×C4×D4C2316yes—
376C2×C4×D4C2316yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×#117—224no—
380C2×#117C2313yes—
381C2×#117C2313yes—
382C2×#117C2313yes—
383C2×#117C2313yes—
384C2×#117C2313yes—
385C2×#117C2313yes—
386C2×#117C2313yes—
387C2×#117C2313yes—
388C2×#117C2316yes—
389C2×#117C2313yes—
390C22×C4⋊C4—224no—
391C22×C4⋊C4C2316yes—
392C22×C4⋊C4C2313yes—
393C22×C4⋊C4C2313yes—
394C22×C4⋊C4C2313yes—
395C22×C4⋊C4C2313yes—
396C22×C4⋊C4C2313yes—
397C22×C4⋊C4C2313yes—
398C22×C4⋊C4C2313yes—
399C22×C4⋊C4C2316yes—
400C22×C4⋊C4C2313yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2313yes—
403C22×C22⋊C4C2313yes—
404C22×C22⋊C4C2313yes—
405C22×C42C2313yes—
406C22×C42C2313yes—
407C22×C42C2313yes—
408#400C2313yes—
409#400C2313yes—
410#400C2313yes—
411#399C2316yes—
412#399C2316yes—
413#399C2311yescharacteristic
414#399C2313yes—
415#399C2313yes—
416#398C2313yes—
417#398C2316yes—
418#398C2316yes—
419#398C2313yes—
420#398C2316yes—
421#398C2316yes—
422#398C2311yescharacteristic
423#398C2313yes—
424#398C2313yes—
425#397C2316yes—
426#397C2313yes—
427#397C2313yes—
428#397C2316yes—
429#397C2313yes—
430#397C2313yes—
431#397C2313yes—
432#397C2313yes—
433#397C2313yes—
434#396C2316yes—
435#396C2316yes—
436#396C2313yes—
437#396C2313yes—
438#396C2311yescharacteristic
439#396C2313yes—
440#396C2316yes—
441#395C2316yes—
442#395C2316yes—
443#395C2316yes—
444#395C2311yescharacteristic
445#394C2313yes—
446#394C2316yes—
447#394C2316yes—
448#394C2316yes—
449#394C2316yes—
450#394C2316yes—
451#394C2316yes—
452#394C2316yes—
453#394C2313yes—
454#394C2316yes—
455#394C2313yes—
456#394C2313yes—
457#394C2316yes—
458#394C2313yes—
459#394C2313yes—
460#394C2313yes—
461#393C2313yes—
462#393C2316yes—
463#392C2316yes—
464#392C2316yes—
465#392C2316yes—
466#392C2313yes—
467#392C2316yes—
468#391C2313yes—
469#391C2313yes—
470#391C2313yes—
471#391C2313yes—
472#391C2313yes—
473#391C2313yes—
474#391C2313yes—
475#391C2313yes—
476#391C2313yes—
477#391C2316yes—
478#390C2313yes—
479#390C2316yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2313yes—
484#390C2313yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#389C2316yes—
495#389C2316yes—
496#389C2313yes—
497#389C2316yes—
498#389C2313yes—
499#389C2313yes—
500#389C2313yes—
501#389C2316yes—
502#389C2316yes—
503#389C2313yes—
504#389C2313yes—
505#389C2313yes—
506#389C2313yes—
507#389C2313yes—
508#389C2313yes—
509#389C2313yes—
510#389C2313yes—
511#389C2313yes—
512#389C2313yes—
513#389C2313yes—
514#389C2311yescharacteristic
515#388C2316yes—
516#388C2316yes—
517#388C2313yes—
518#388C2316yes—
519#388C2316yes—
520#388C2316yes—
521#388C2316yes—
522#388C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2316yes—
527#388C2316yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#388C2313yes—
537#387C2313yes—
538#387C2316yes—
539#387C2313yes—
540#387C2313yes—
541#387C2313yes—
542#387C2316yes—
543#387C2313yes—
544#387C2313yes—
545#387C2313yes—
546#387C2313yes—
547#387C2313yes—
548#387C2316yes—
549#387C2311yescharacteristic
550#386C2313yes—
551#386C2316yes—
552#386C2316yes—
553#386C2316yes—
554#386C2313yes—
555#386C2316yes—
556#386C2316yes—
557#386C2313yes—
558#386C2316yes—
559#386C2316yes—
560#386C2313yes—
561#386C2316yes—
562#386C2313yes—
563#386C2313yes—
564#386C2313yes—
565#386C2311yescharacteristic
566#386C2313yes—
567#386C2313yes—
568#386C2313yes—
569#386C2311yescharacteristic
570#385C2316yes—
571#385C2316yes—
572#385C2316yes—
573#385C2316yes—
574#385C2316yes—
575#385C2316yes—
576#385C2316yes—
577#385C2316yes—
578#385C2316yes—
579#385C2316yes—
580#385C2313yes—
581#385C2316yes—
582#385C2316yes—
583#385C2313yes—
584#385C2313yes—
585#385C2316yes—
586#385C2316yes—
587#385C2313yes—
588#385C2316yes—
589#385C2313yes—
590#385C2313yes—
591#385C2313yes—
592#385C2313yes—
593#385C2313yes—
594#385C2311yescharacteristic
595#385C2311yescharacteristic
596#385C2311yescharacteristic
597#384C2313yes—
598#384C2313yes—
599#384C2313yes—
600#384C2313yes—
601#384C2313yes—
602#382C2313yes—
603#381C2316yes—
604#381C2316yes—
605#380C2313yes—
606#380C2313yes—
607#380C2316yes—
608#380C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2316yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#379C2313yes—
620#379C2316yes—
621#379C2313yes—
622C4×C4⋊C4C2313yes—
623C4×C4⋊C4C2316yes—
624C4×C4⋊C4C2313yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C22⋊C4C2316yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2316yes—
651C4×C22⋊C4C2316yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654#376C2313yes—
655C43C2313yes—
656C25C2413yes—
657C2×#41—2128no—
658C2×#41—24no—
659C2×#41—24no—
660C2×#41—212no—
661C2×#41—212no—
662C2×#41—24no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—212no—
668C2×#41—212no—
669C2×#41—212no—
670C2×#41—224no—
671C2×#41—212no—
672C2×#41—412no—
673C2×#41—86no—
674C2×#41C2×D418yes—
675C2×#41#4118yescomplemented
676C22×Q8—24no—
677C22×Q8—24no—
678C22×Q8—24no—
679C22×Q8—24no—
680C22×Q8—24no—
681C22×Q8#4118yescomplemented
682C22×Q8C2413yes—
683C22×Q8C2411yescharacteristic
684C22×Q8C2413yes—
685C22×Q8C2416yes—
686C22×Q8C2411yescharacteristic
687C22×D4—212no—
688C22×D4—212no—
689C22×D4—212no—
690C22×D4C2416yes—
691C22×D4C2413yes—
692C22×D4C2413yes—
693C22×D4C2413yes—
694C22×D4C2413yes—
695C22×D4C2413yes—
696C22×D4C2413yes—
697C22×D4C2413yes—
698C22×D4C2413yes—
699C22×D4C2413yes—
700C22×D4C2411yescharacteristic
701C22×D4C2416yes—
702C22×D4C2416yes—
703C23×C4—212no—
704C23×C4—212no—
705C23×C4—212no—
706C23×C4—224no—
707C23×C4—412no—
708C23×C4—86no—
709C23×C4C2411yescharacteristic
710C23×C4C2413yes—
711C23×C4C2413yes—
712C23×C4C2413yes—
713C23×C4C2413yes—
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2413yes—
717C23×C4C2413yes—
718C23×C4C2413yes—
719C23×C4C2411yescharacteristic
720C23×C4C2413yes—
721C23×C4C2413yes—
722C23×C4C2413yes—
723C23×C4C2416yes—
724C23×C4C2416yes—
725C23×C4C2416yes—
726C23×C4C2416yes—
727C23×C4C2416yes—
728C4⋊Q8—212no—
729C4⋊Q8—212no—
730C4⋊Q8—212no—
731C4⋊Q8—212no—
732#127—212no—
733#127—212no—
734#126—212no—
735#126—212no—
736#125—212no—
737#124—212no—
738#124—212no—
739#124—212no—
740#124—212no—
741#124—224no—
742#124—212no—
743#123—224no—
744#123—212no—
745#123—212no—
746#123—224no—
747#123—412no—
748#123—412no—
749#123—86no—
750C22⋊Q8—212no—
751C22⋊Q8—212no—
752C22⋊Q8—224no—
753C22⋊Q8—212no—
754C22⋊Q8—212no—
755C22⋊Q8—212no—
756C22⋊Q8—24no—
757C22⋊Q8—224no—
758C22⋊Q8—212no—
759C22⋊Q8—24no—
760C22⋊Q8—412no—
761C22⋊Q8—412no—
762C22⋊Q8—86no—
763#121—212no—
764#121—212no—
765#121—212no—
766#121—212no—
767#121—212no—
768#121—212no—
769#121—212no—
770#121—212no—
771#121—212no—
772#121—212no—
773#121—412no—
774#120—212no—
775#120—212no—
776#120—412no—
777C4×Q8—24no—
778C4×Q8—24no—
779C4×Q8—24no—
780C4×Q8—24no—
781C4×Q8—24no—
782C4×Q8—24no—
783C4×Q8—24no—
784C4×Q8—24no—
785C4×Q8—212no—
786C4×Q8—212no—
787C4×Q8—212no—
788C4×Q8—212no—
789C4×Q8—212no—
790C4×Q8—212no—
791C4×Q8—212no—
792C4×Q8C2×D418yes—
793C4×Q8C2×D418yes—
794C4×D4—212no—
795C4×D4—212no—
796C4×D4—212no—
797C4×D4—224no—
798C4×D4—224no—
799C4×D4—212no—
800C4×D4—212no—
801C4×D4—224no—
802C4×D4—212no—
803C4×D4—212no—
804C4×D4—212no—
805C4×D4—212no—
806C4×D4—212no—
807C4×D4—212no—
808C4×D4—212no—
809C4×D4—224no—
810C4×D4—224no—
811C4×D4—24no—
812C4×D4—212no—
813C4×D4—212no—
814C4×D4—212no—
815C4×D4—212no—
816C4×D4—412no—
817C4×D4—412no—
818C4×D4—412no—
819C4×D4—86no—
820C4×D4C2×D4124yes—
821C4×D4C2×D4124yes—
822#117—212no—
823#117—212no—
824#117—212no—
825#117—212no—
826#117—212no—
827#117—212no—
828#117—212no—
829#117—212no—
830#117—412no—
831#117C2×D4124yes—
832C2×C4⋊C4—224no—
833C2×C4⋊C4—212no—
834C2×C4⋊C4—212no—
835C2×C4⋊C4—212no—
836C2×C4⋊C4—212no—
837C2×C4⋊C4—212no—
838C2×C4⋊C4—212no—
839C2×C4⋊C4—224no—
840C2×C4⋊C4—24no—
841C2×C4⋊C4—212no—
842C2×C4⋊C4—212no—
843C2×C4⋊C4C2×D4124yes—
844C2×C4⋊C4C2413yes—
845C2×C4⋊C4C2413yes—
846C2×C4⋊C4C2413yes—
847C2×C4⋊C4C2413yes—
848C2×C4⋊C4C2413yes—
849C2×C4⋊C4C2416yes—
850C2×C4⋊C4C2416yes—
851C2×C4⋊C4C2413yes—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2416yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2413yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2416yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2416yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2416yes—
883C2×C4⋊C4C2416yes—
884C2×C4⋊C4C2416yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2416yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C22⋊C4—212no—
896C2×C22⋊C4—212no—
897C2×C22⋊C4C2413yes—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2413yes—
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2411yescharacteristic
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2411yescharacteristic
909C2×C22⋊C4C2411yescharacteristic
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2416yes—
921C2×C22⋊C4C2416yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2416yes—
932C2×C22⋊C4C2416yes—
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2416yes—
935C2×C22⋊C4C2416yes—
936C2×C22⋊C4C2416yes—
937C2×C22⋊C4C2416yes—
938C2×C22⋊C4C2416yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2416yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2411yescharacteristic
951C2×C42—212no—
952C2×C42—212no—
953C2×C42—212no—
954C2×C42C2413yes—
955C2×C42C2413yes—
956C2×C42C2413yes—
957C2×C42C2413yes—
958C2×C42C2413yes—
959C2×C42C2413yes—
960C2×C42C2413yes—
961C2×C42C2413yes—
962C2×C42C2413yes—
963C2×C42C2413yes—
964C2×C42C2413yes—
965C2×C42C2413yes—
966C2×C42C2413yes—
967C2×C42C2413yes—
968C2×C42C2411yescharacteristic
969C2×C42C2413yes—
970C2×C42C2416yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2413yes—
974C2×C42C2413yes—
975#95C2411yescharacteristic
976#95C2413yes—
977#95C2413yes—
978#95C2413yes—
979#95C2411yescharacteristic
980#95C2411yescharacteristic
981#95C2411yescharacteristic
982#95C2411yescharacteristic
983#95C2411yescharacteristic
984#95C2411yescharacteristic
985#95C2413yes—
986#95C2413yes—
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2413yes—
991#95C2413yes—
992#95C2413yes—
993#95C2413yes—
994#95C2413yes—
995#95C2413yes—
996#95C2413yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2416yes—
1001#95C2413yes—
1002#95C2416yes—
1003#95C2416yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2416yes—
1008#95C2411yescharacteristic
1009#95C2416yes—
1010#95C2416yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2413yes—
1017C24—26no—
1018C24—26no—
1019C24—26no—
1020C24—26no—
1021C24—26no—
1022C24—43no—
1023C24—43no—
1024C24C2513yes—
1025C24C2513yes—
1026C24C2513yes—
1027C24C2511yescharacteristic
1028C24C2511yescharacteristic
1029#41—296no—
1030#41—296no—
1031#41—232no—
1032#41—232no—
1033#41—416no—
1034#41—848no—
1035C2×Q8—232no—
1036C2×Q8—26no—
1037C2×Q8—22no—
1038C2×Q8—26no—
1039C2×Q8—212no—
1040C2×Q8—26no—
1041C2×Q8—26no—
1042C2×Q8—26no—
1043C2×Q8—22no—
1044C2×Q8—41no—
1045C2×Q8—46no—
1046C2×Q8—46no—
1047C2×Q8—416no—
1048C2×Q8C22×D414yes—
1049C2×Q8C2×#41112yes—
1050C2×Q8C2×#4114yes—
1051C2×Q8C2×#4114yes—
1052C2×D4—296no—
1053C2×D4—212no—
1054C2×D4—22no—
1055C2×D4—212no—
1056C2×D4—22no—
1057C2×D4—26no—
1058C2×D4—26no—
1059C2×D4—26no—
1060C2×D4—26no—
1061C2×D4—26no—
1062C2×D4—26no—
1063C2×D4—26no—
1064C2×D4—26no—
1065C2×D4—26no—
1066C2×D4—26no—
1067C2×D4—212no—
1068C2×D4—212no—
1069C2×D4—26no—
1070C2×D4—26no—
1071C2×D4—26no—
1072C2×D4—212no—
1073C2×D4—26no—
1074C2×D4—26no—
1075C2×D4—26no—
1076C2×D4—26no—
1077C2×D4—26no—
1078C2×D4—26no—
1079C2×D4—26no—
1080C2×D4—43no—
1081C2×D4—43no—
1082C2×D4—43no—
1083C2×D4—43no—
1084C2×D4—43no—
1085C2×D4—46no—
1086C2×D4—46no—
1087C2×D4—46no—
1088C2×D4—46no—
1089C2×D4C22×D4112yes—
1090C2×D4C2×#41112yes—
1091C2×D4H(5,𝔽2)14yes—
1092C22×C4—296no—
1093C22×C4—26no—
1094C22×C4—22no—
1095C22×C4—26no—
1096C22×C4—26no—
1097C22×C4—22no—
1098C22×C4—26no—
1099C22×C4—26no—
1100C22×C4—22no—
1101C22×C4—26no—
1102C22×C4—26no—
1103C22×C4—26no—
1104C22×C4—26no—
1105C22×C4—26no—
1106C22×C4—26no—
1107C22×C4—26no—
1108C22×C4—26no—
1109C22×C4—26no—
1110C22×C4—26no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—212no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—26no—
1118C22×C4—26no—
1119C22×C4—26no—
1120C22×C4—26no—
1121C22×C4—26no—
1122C22×C4—26no—
1123C22×C4—26no—
1124C22×C4—26no—
1125C22×C4—26no—
1126C22×C4—22no—
1127C22×C4—212no—
1128C22×C4—212no—
1129C22×C4—212no—
1130C22×C4—46no—
1131C22×C4—43no—
1132C22×C4—43no—
1133C22×C4—46no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—43no—
1138C22×C4—46no—
1139C22×C4—46no—
1140C22×C4—46no—
1141C22×C4—46no—
1142C22×C4—46no—
1143C22×C4—46no—
1144C22×C4—46no—
1145C22×C4—46no—
1146C22×C4—848no—
1147C22×C4C22×D4112yes—
1148C22×C4C22×D4124yes—
1149C22×C4C2×#41112yes—
1150C22×C4C2×#41112yes—
1151C22×C4C2511yescharacteristic
1152C22×C4C2513yes—
1153C22×C4C2513yes—
1154C22×C4C2511yescharacteristic
1155C22×C4C2511yescharacteristic
1156C22×C4C2511yescharacteristic
1157C22×C4C2513yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2513yes—
1160C22×C4C2513yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2513yes—
1163C22×C4C2513yes—
1164C22×C4C2513yes—
1165C22×C4C2513yes—
1166C22×C4C2511yescharacteristic
1167C22×C4C2511yescharacteristic
1168C22×C4C2513yes—
1169C22×C4C2511yescharacteristic
1170C22×C4C2513yes—
1171C22×C4C2513yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C22×C4C2511yescharacteristic
1176C22×C4C2513yes—
1177C4⋊C4—26no—
1178C4⋊C4—26no—
1179C4⋊C4—26no—
1180C4⋊C4—212no—
1181C4⋊C4—212no—
1182C4⋊C4—26no—
1183C4⋊C4—26no—
1184C4⋊C4—26no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—26no—
1189C4⋊C4—26no—
1190C4⋊C4—212no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—26no—
1194C4⋊C4—26no—
1195C4⋊C4—26no—
1196C4⋊C4—26no—
1197C4⋊C4—26no—
1198C4⋊C4—22no—
1199C4⋊C4—26no—
1200C4⋊C4—26no—
1201C4⋊C4—26no—
1202C4⋊C4—26no—
1203C4⋊C4—26no—
1204C4⋊C4—26no—
1205C4⋊C4—26no—
1206C4⋊C4—212no—
1207C4⋊C4—26no—
1208C4⋊C4—26no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—43no—
1214C4⋊C4—41no—
1215C4⋊C4—46no—
1216C4⋊C4—46no—
1217C4⋊C4—46no—
1218C4⋊C4—46no—
1219C4⋊C4—43no—
1220C4⋊C4—43no—
1221C4⋊C4—43no—
1222C4⋊C4—46no—
1223C4⋊C4—43no—
1224C4⋊C4C22×D4112yes—
1225C4⋊C4C22×D4112yes—
1226C4⋊C4C22×D4112yes—
1227C4⋊C4C22×D414yes—
1228C22⋊C4—26no—
1229C22⋊C4—26no—
1230C22⋊C4—26no—
1231C22⋊C4—212no—
1232C22⋊C4—26no—
1233C22⋊C4—22no—
1234C22⋊C4—26no—
1235C22⋊C4—26no—
1236C22⋊C4—26no—
1237C22⋊C4—212no—
1238C22⋊C4—26no—
1239C22⋊C4—26no—
1240C22⋊C4—26no—
1241C22⋊C4—26no—
1242C22⋊C4—22no—
1243C22⋊C4—26no—
1244C22⋊C4—26no—
1245C22⋊C4—26no—
1246C22⋊C4—26no—
1247C22⋊C4—26no—
1248C22⋊C4—26no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—26no—
1252C22⋊C4—212no—
1253C22⋊C4—26no—
1254C22⋊C4—22no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—212no—
1259C22⋊C4—26no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—22no—
1263C22⋊C4—26no—
1264C22⋊C4—26no—
1265C22⋊C4—43no—
1266C22⋊C4—46no—
1267C22⋊C4—43no—
1268C22⋊C4—43no—
1269C22⋊C4—41no—
1270C22⋊C4—43no—
1271C22⋊C4—46no—
1272C22⋊C4—46no—
1273C22⋊C4—46no—
1274C22⋊C4—46no—
1275C22⋊C4—46no—
1276C22⋊C4—43no—
1277C22⋊C4—43no—
1278C22⋊C4—43no—
1279C22⋊C4C22×D4112yes—
1280C22⋊C4C22×D4112yes—
1281C22⋊C42−1+414yes—
1282C42—26no—
1283C42—26no—
1284C42—26no—
1285C42—26no—
1286C42—26no—
1287C42—26no—
1288C42—26no—
1289C42—26no—
1290C42—26no—
1291C42—26no—
1292C42—26no—
1293C42—26no—
1294C42—26no—
1295C42—26no—
1296C42—26no—
1297C42—22no—
1298C42—43no—
1299C42—46no—
1300C42—43no—
1301C42C22×D4112yes—
1302C42C22×D4112yes—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—224no—
1308C23—23no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—23no—
1313C23—23no—
1314C23—23no—
1315C23—23no—
1316C23—23no—
1317C23—21no—
1318C23—23no—
1319C23—23no—
1320C23—23no—
1321C23—23no—
1322C23—21no—
1323C23—23no—
1324C23—21no—
1325C23—23no—
1326C23—23no—
1327C23—23no—
1328C23—23no—
1329C23—23no—
1330C23—23no—
1331C23—23no—
1332C23—23no—
1333C23—412no—
1334C23—412no—
1335C23—412no—
1336C23—412no—
1337C23—412no—
1338C23—412no—
1339C23C23×D416yes—
1340C23C22×#4116yes—
1341C23C22×#4112yes—
1342C23C2×H(5,𝔽2)12yes—
1343C23C2×H(5,𝔽2)12yes—
1344C23C2×2−1+412yes—
1345C23C2611yescharacteristic
1346Q8—224no—
1347Q8—44no—
1348Q8—412no—
1349Q8—812no—
1350Q8#525116yescomplemented
1351D4—248no—
1352D4—28no—
1353D4—224no—
1354D4—224no—
1355D4—412no—
1356D4—412no—
1357D4—412no—
1358D4—412no—
1359D4—412no—
1360D4—412no—
1361D4—412no—
1362D4—812no—
1363D4—812no—
1364C2×C4—28no—
1365C2×C4—224no—
1366C2×C4—224no—
1367C2×C4—21no—
1368C2×C4—23no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—23no—
1376C2×C4—23no—
1377C2×C4—23no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—23no—
1383C2×C4—23no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—224no—
1388C2×C4—224no—
1389C2×C4—224no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—23no—
1394C2×C4—23no—
1395C2×C4—23no—
1396C2×C4—23no—
1397C2×C4—23no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—23no—
1402C2×C4—23no—
1403C2×C4—23no—
1404C2×C4—23no—
1405C2×C4—21no—
1406C2×C4—23no—
1407C2×C4—21no—
1408C2×C4—23no—
1409C2×C4—23no—
1410C2×C4—23no—
1411C2×C4—23no—
1412C2×C4—23no—
1413C2×C4—23no—
1414C2×C4—23no—
1415C2×C4—23no—
1416C2×C4—23no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—23no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—23no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—23no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—23no—
1434C2×C4—21no—
1435C2×C4—424no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—412no—
1440C2×C4—412no—
1441C2×C4—412no—
1442C2×C4—412no—
1443C2×C4—412no—
1444C2×C4—812no—
1445C2×C4—812no—
1446C2×C4—812no—
1447C2×C4—812no—
1448C2×C4C23×D412yes—
1449C2×C4C23×D412yes—
1450C2×C4C23×D416yes—
1451C2×C4C23×D416yes—
1452C2×C4C23×D412yes—
1453C2×C4C23×D416yes—
1454C2×C4C22×#4112yes—
1455C2×C4C22×#4116yes—
1456C2×C4C22×#4116yes—
1457C2×C4C22×#4116yes—
1458C2×C4C2×H(5,𝔽2)12yes—
1459C2×C4C2×2−1+412yes—
1460C2×C4C2×2−1+412yes—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—26no—
1469C22—22no—
1470C22—26no—
1471C22—26no—
1472C22—26no—
1473C22—22no—
1474C22—26no—
1475C22—26no—
1476C22—448no—
1477C22—43no—
1478C22—43no—
1479C22—41no—
1480C22—43no—
1481C22—41no—
1482C22—43no—
1483C22—43no—
1484C22—43no—
1485C22—41no—
1486C22—43no—
1487C22—43no—
1488C22—41no—
1489C22—43no—
1490C22—43no—
1491C22—43no—
1492C22—43no—
1493C22—43no—
1494C22—43no—
1495C22—43no—
1496C22#352214yescomplemented
1497C22C24×D411yescharacteristic
1498C22C23×#4111yescharacteristic
1499C22C23×#4111yescharacteristic
1500C22C22×H(5,𝔽2)11yescharacteristic
1501C22C22×2−1+411yescharacteristic
1502C22H(7,𝔽2)11yescharacteristic
1503C222−1+611yescharacteristic
1504C4—26no—
1505C4—26no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—26no—
1514C4—43no—
1515C4—43no—
1516C4—43no—
1517C4—43no—
1518C4—43no—
1519C4—43no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—43no—
1525C4—41no—
1526C4—43no—
1527C4—41no—
1528C4—43no—
1529C4C2×#525112yes—
1530C2—24no—
1531C2—42no—
1532C2—46no—
1533C2—46no—
1534C2—83no—
1535C2C22×#52511yescharacteristic
1536C2C2×#352211yescharacteristic
1537C2#6285111yescharacteristic
1538C2D4×H(5,𝔽2)11yescharacteristic
1539C2#6298511yescharacteristic
1540C2D4×2−1+411yescharacteristic
1541C2#6300011yescharacteristic
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×#3522C2semidirect
2. C22×#520C2semidirect
3. #36546C2semidirect
4. Q8×C22⋊Q8C2semidirect
5. #36441C2semidirect
6. #36434C2semidirect
7. #36429C2semidirect
8. #36428C2semidirect
9. #36103C2semidirect
10. #36100C2semidirect
11. #36005C2semidirect
12. #35996C2semidirect
13. #35831C2semidirect
14. #35778C2semidirect
15. #35748C2semidirect
16. #35724C2semidirect
17. #35715C2semidirect
18. #35693C2semidirect
19. #35606C2semidirect
20. #35600C2semidirect
21. #35535C2semidirect
22. #35520C2semidirect
23. #35260C2semidirect
24. #35225C2semidirect
25. #34740C2semidirect
26. #34681C2semidirect
27. #34313C2semidirect
28. #34294C2semidirect
29. #34294C2semidirect
30. #34263C2semidirect
31. C4×D4×Q8C2semidirect
34. C2×#559C22semidirect
35. C2×Q82C22semidirect
36. C2×#554C22semidirect
43. C2×#548C22semidirect
44. C2×#547C22semidirect
45. C2×#547C22semidirect
46. C2×#542C22semidirect
47. C2×#542C22semidirect
48. C2×#532C22semidirect
49. C2×#529C22semidirect
60. C2×#520C22semidirect
63. C22×C4×Q8C22semidirect
74. #2638C22semidirect
75. #2630C22semidirect
76. #2628C22semidirect
77. #2625C22semidirect
78. #2624C22semidirect
79. #2620C22semidirect
80. #2602C22semidirect
81. #2600C22semidirect
82. #2583C22semidirect
83. #2582C22semidirect
84. #2580C22semidirect
85. #2579C22semidirect
86. #2567C22semidirect
87. #2545C22semidirect
88. #2544C22semidirect
89. #2542C22semidirect
90. #2537C22semidirect
91. #2536C22semidirect
92. #2502C22semidirect
93. #2501C22semidirect
94. #2487C22semidirect
95. #2486C22semidirect
98. #2479C22semidirect
99. #2479C22semidirect
100. #2478C22semidirect
101. #2477C22semidirect
102. #2477C22semidirect
103. #2476C22semidirect
104. #2475C22semidirect
105. #2474C22semidirect
106. #2474C22semidirect
108. #2473C22semidirect
111. #2471C22semidirect
112. #2470C22semidirect
113. #2470C22semidirect
114. #2468C22semidirect
115. #2464C22semidirect
116. #2461C22semidirect
117. #2461C22semidirect
118. #2459C22semidirect
119. #2455C22semidirect
120. #2455C22semidirect
121. #2455C22semidirect
122. #2452C22semidirect
123. #2452C22semidirect
124. #2451C22semidirect
125. #2451C22semidirect
128. #2449C22semidirect
129. #2449C22semidirect
130. #2447C22semidirect
131. #2447C22semidirect
132. #2445C22semidirect
133. #2445C22semidirect
135. #2443C22semidirect
138. #2440C22semidirect
139. #2440C22semidirect
146. #2429C22semidirect
147. #2428C22semidirect
148. #2427C22semidirect
149. #2426C22semidirect
151. #2422C22semidirect
152. #2422C22semidirect
153. #2422C22semidirect
154. #2422C22semidirect
158. #2417C22semidirect
160. #2416C22semidirect
161. #2415C22semidirect
162. #2413C22semidirect
169. #2407C22semidirect
170. #2406C22semidirect
171. #2396C22semidirect
172. #2395C22semidirect
173. #2395C22semidirect
174. #2392C22semidirect
175. #2392C22semidirect
176. #2388C22semidirect
177. #2367C22semidirect
178. #2367C22semidirect
179. #2366C22semidirect
180. #2365C22semidirect
182. #2361C22semidirect
183. #2361C22semidirect
184. #2361C22semidirect
186. #2360C22semidirect
187. #2360C22semidirect
188. #2360C22semidirect
189. #2357C22semidirect
190. #2354C22semidirect
191. #2351C22semidirect
192. Q8×C4⋊C4C22semidirect
193. Q8×C4⋊C4C22semidirect
194. Q8×C4⋊C4C22semidirect
195. Q8×C4⋊C4C22semidirect
196. Q8×C4⋊C4C22semidirect
199. D4×C4⋊C4C22semidirect
200. D4×C4⋊C4C22semidirect
201. #2345C22semidirect
202. #2344C22semidirect
207. #2341C22semidirect
208. #2341C22semidirect
211. Q8×C22⋊C4C22semidirect
212. Q8×C22⋊C4C22semidirect
213. #2326C22semidirect
214. #2326C22semidirect
215. #2324C22semidirect
216. #2324C22semidirect
217. #2323C22semidirect
218. #2323C22semidirect
219. #2319C22semidirect
220. #2314C22semidirect
221. C4×C4⋊Q8C22semidirect
222. C4×#127C22semidirect
225. C4×C22⋊Q8C22semidirect
228. C4×#121C22semidirect
232. #2298C22semidirect
233. #2293C22semidirect
234. #2293C22semidirect
236. #2290C22semidirect
237. #2276C22semidirect
238. C42×Q8C22semidirect
328. #520D4semidirect
675. C2×#41#41semidirect
681. C22×Q8#41semidirect
1350. Q8#525semidirect
1496. C22#3522semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C22×#5202
#365462
Q8×C22⋊Q82
#364412
#364342
#364292
#364282
#361032
#361002
#360052
#359962
#358312
#357782
#357482
#357242
#357152
#356932
#356062
#356002
#355352
#355202
#352602
#352252
#347402
#346812
#343132
#342942
#342632
C4×D4×Q82