Finite Group Databasebeta

← #7683773

Subgroups — #7683773

Order 512.

7974 conjugacy classes of subgroups.

The subgroup lattice has 1978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3497C211yesmaximal, characteristic, complemented
3#59813C212yesmaximal, complemented
4#59806C212yesmaximal, complemented
5#59770C212yesmaximal, complemented
6#59651C212yesmaximal, complemented
7#59141C214yesmaximal, complemented
8#59110C214yesmaximal, complemented
9#59104C212yesmaximal, complemented
10#59101C212yesmaximal, complemented
11#59075C212yesmaximal, complemented
12#59061C212yesmaximal, complemented
13#45416C212yesmaximal, complemented
14#45386C212yesmaximal, complemented
15#45322C212yesmaximal, complemented
16#45265C212yesmaximal, complemented
17#45246C212yesmaximal, complemented
18#45136C212yesmaximal, complemented
19#45094C212yesmaximal, complemented
20#44889C212yesmaximal, complemented
21#44446C214yesmaximal, complemented
22#43906C214yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35649C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35564C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#34937C211yesmaximal, characteristic, complemented
30#34744C211yesmaximal, characteristic, complemented
31C2×#2453C211yesmaximal, characteristic, complemented
32#34267C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34259C211yesmaximal, characteristic, complemented
35#34259C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×2−1+4C2211yescharacteristic
38#3512—216no—
39#3497—216no—
40C2×#553C2214yes—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2214yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#550C2212yes—
47C2×#550C2212yes—
48C2×D4×Q8C2212yes—
49C2×D4×Q8C2212yes—
50C2×#548C2212yes—
51C2×#548C2212yes—
52C2×#548C2212yes—
53C2×#548C2212yes—
54C2×#541C2212yes—
55C2×#540C2212yes—
56C2×#537C2211yescharacteristic
57C2×#537C2214yes—
58C2×#537C2211yescharacteristic
59C2×#537C2211yescharacteristic
60C2×#537C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#532C2214yes—
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C22×#125C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76#2716C2214yes—
77#2715C2214yes—
78#2715C2214yes—
79#2713C2214yes—
80#2710C2214yes—
81#2710C2214yes—
82#2709C2214yes—
83#2704C2214yes—
84#2703C2214yes—
85#2703C2214yes—
86#2702C2214yes—
87#2701C2214yes—
88#2699C2214yes—
89#2698C2214yes—
90#2698C2214yes—
91#2691C2214yes—
92#2690C2214yes—
93#2690C2214yes—
94#2689C2214yes—
95#2688C2214yes—
96#2688C2214yes—
97#2687C2214yes—
98#2673C2214yes—
99#2671C2214yes—
100#2591C2214yes—
101#2560C2214yes—
102#2559C2214yes—
103#2559C2214yes—
104#2557C2214yes—
105#2556C2214yes—
106#2550C2214yes—
107#2548C2211yescharacteristic
108#2547C2211yescharacteristic
109#2546C2211yescharacteristic
110#2545C2211yescharacteristic
111#2545C2211yescharacteristic
112#2544C2211yescharacteristic
113#2544C2211yescharacteristic
114#2543C2212yes—
115#2543C2214yes—
116#2543C2214yes—
117#2543C2212yes—
118#2543C2214yes—
119#2541C2211yescharacteristic
120#2521C2214yes—
121#2504C2214yes—
122#2490C2212yes—
123#2490C2212yes—
124#2490C2212yes—
125#2490C2212yes—
126#2489C2212yes—
127#2489C2212yes—
128#2489C2212yes—
129#2489C2212yes—
130#2488C2214yes—
131#2488C2214yes—
132#2487C2212yes—
133#2486C2212yes—
134#2485C2212yes—
135#2485C2212yes—
136#2477C2214yes—
137#2477C2214yes—
138#2476C2214yes—
139#2474C2214yes—
140#2468C2214yes—
141#2467C2214yes—
142#2466C2214yes—
143#2466C2214yes—
144#2464C2214yes—
145#2460C2214yes—
146#2459C2214yes—
147#2457C2214yes—
148#2454C2214yes—
149#2453C2212yes—
150#2453C2212yes—
151#2453C2212yes—
152#2453C2212yes—
153#2453C2212yes—
154#2453C2212yes—
155#2453C2212yes—
156#2453C2212yes—
157#2450C2214yes—
158#2448C2211yescharacteristic
159#2448C2211yescharacteristic
160#2448C2212yes—
161#2447C2212yes—
162#2447C2211yescharacteristic
163#2447C2211yescharacteristic
164#2446C2211yescharacteristic
165#2446C2212yes—
166#2446C2211yescharacteristic
167#2445C2211yescharacteristic
168#2445C2214yes—
169#2445C2212yes—
170#2445C2211yescharacteristic
171#2444C2212yes—
172#2444C2214yes—
173#2444C2214yes—
174#2444C2214yes—
175#2444C2212yes—
176#2444C2214yes—
177#2443C2214yes—
178#2443C2212yes—
179#2443C2212yes—
180#2439C2214yes—
181#2438C2214yes—
182#2436C2212yes—
183#2436C2212yes—
184#2434C2212yes—
185#2434C2212yes—
186#2432C2212yes—
187#2432C2212yes—
188#2431C2212yes—
189#2431C2212yes—
190#2430C2214yes—
191#2430C2214yes—
192#2430C2214yes—
193#2430C2214yes—
194#2429C2212yes—
195#2429C2212yes—
196#2428C2212yes—
197#2428C2214yes—
198#2428C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2425C2214yes—
204#2425C2214yes—
205#2425C2214yes—
206#2420C2214yes—
207#2419C2214yes—
208#2417C2212yes—
209#2417C2212yes—
210#2416C2214yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2214yes—
216#2415C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2395C2212yes—
229#2395C2212yes—
230C2×#400C2212yes—
231#2392C2212yes—
232#2392C2212yes—
233C2×#398C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2364C2214yes—
239#2364C2214yes—
240#2363C2212yes—
241#2363C2214yes—
242#2362C2212yes—
243#2362C2212yes—
244#2362C2212yes—
245#2361C2212yes—
246#2361C2214yes—
247#2360C2212yes—
248#2360C2212yes—
249#2360C2212yes—
250#2359C2214yes—
251#2349C2214yes—
252Q8×C22⋊C4C2212yes—
253Q8×C22⋊C4C2212yes—
254Q8×C22⋊C4C2212yes—
255Q8×C22⋊C4C2212yes—
256#2339C2214yes—
257#2339C2214yes—
258#2339C2212yes—
259#2339C2212yes—
260#2339C2212yes—
261#2339C2212yes—
262#2339C2214yes—
263#2339C2214yes—
264#2324C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2212yes—
270#2311C2211yescharacteristic
271#2311C2212yes—
272#2311C2211yescharacteristic
273#2310C2212yes—
274#2310C2212yes—
275#2310C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×#123C2214yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2212yes—
288#2297C2211yescharacteristic
289#2297C2212yes—
290#2296C2211yescharacteristic
291C2×#391C2212yes—
292C2×#391C2211yescharacteristic
293C2×#391C2211yescharacteristic
294C2×#391C2212yes—
295C2×#389C2211yescharacteristic
296C2×#389C2211yescharacteristic
297C2×#389C2212yes—
298C2×#387C2212yes—
299#2274C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—28no—
304C2×2−1+4—28no—
305C2×2−1+4—44no—
306C2×2−1+4—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2314yes—
314C22×#41C2314yes—
315C22×#41C2312yes—
316C22×#41C2311yescharacteristic
317C22×#41C2311yescharacteristic
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×Q8C2312yes—
322C23×Q8C2311yescharacteristic
323#553—216no—
324#553—232no—
325#553—232no—
326#553—216no—
327#552—216no—
328#552—216no—
329#550—216no—
330#550—216no—
331D4×Q8—216no—
332D4×Q8—216no—
333#548—216no—
334#548—216no—
335#548—216no—
336#548—216no—
337#541—216no—
338#540—216no—
339#537—28no—
340#537—232no—
341#537—28no—
342#537—44no—
343#537D4116yescomplemented
344#536—28no—
345#532—28no—
346#532—28no—
347#532—28no—
348#532—232no—
349#532—44no—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2314yes—
354C2×C4⋊Q8C2311yescharacteristic
355C2×C4⋊Q8C2311yescharacteristic
356C2×#127C2314yes—
357C2×#127C2311yescharacteristic
358C2×#127C2311yescharacteristic
359C2×#127C2311yescharacteristic
360C2×#127C2311yescharacteristic
361#529—216no—
362#529—216no—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#126C2314yes—
367C2×#125—28no—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2314yes—
373C2×#125C2314yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2314yes—
382C2×#124C2314yes—
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437#520—28no—
438#520—28no—
439#520—44no—
440C4×#41—28no—
441C4×#41—44no—
442C2×C4×Q8—28no—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2312yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2314yes—
518#400C2312yes—
519#400C2312yes—
520#400C2314yes—
521#399C2312yes—
522#399C2312yes—
523#399C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#392C2312yes—
593#392C2312yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2314yes—
601#391C2312yes—
602#391C2312yes—
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2314yes—
612#391C2314yes—
613#391C2314yes—
614#391C2314yes—
615#391C2312yes—
616#391C2312yes—
617#391C2311yescharacteristic
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2314yes—
623#391C2314yes—
624#391C2314yes—
625#391C2311yescharacteristic
626#391C2311yescharacteristic
627#391C2312yes—
628#391C2311yescharacteristic
629#391C2311yescharacteristic
630#391C2311yescharacteristic
631#391C2311yescharacteristic
632#391C2312yes—
633#391C2311yescharacteristic
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2312yes—
641#390C2311yescharacteristic
642#390C2314yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2311yescharacteristic
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2311yescharacteristic
653#390C2314yes—
654#390C2311yescharacteristic
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2312yes—
677#389C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2314yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2312yes—
718#387C2314yes—
719#387C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#386C2314yes—
761#386C2312yes—
762#386C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2312yes—
780#382C2314yes—
781#382C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2314yes—
787#381C2312yes—
788#381C2314yes—
789#381C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2311yescharacteristic
8542−1+4—464no—
8552−1+4—464no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—216no—
873C2×#41—216no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—48no—
882C2×#41—48no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41C2×D418yes—
888C2×#41C2×D418yes—
889C22×Q8—28no—
890C22×Q8—28no—
891C22×Q8—28no—
892C22×Q8—28no—
893C22×Q8—28no—
894C22×Q8—28no—
895C22×Q8—24no—
896C22×Q8—28no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—44no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8#4118yes—
904C22×Q8C2411yescharacteristic
905C22×Q8C2411yescharacteristic
906C22×Q8C2411yescharacteristic
907C22×Q8C2414yes—
908C22×Q8C2414yes—
909C22×Q8C2411yescharacteristic
910C22×Q8C2411yescharacteristic
911C22×Q8C2412yes—
912C22×Q8C2412yes—
913C22×D4C2412yes—
914C22×D4C2411yescharacteristic
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2411yescharacteristic
926C22×D4C2411yescharacteristic
927C22×D4C2414yes—
928C22×D4C2412yes—
929C22×D4C2414yes—
930C22×D4C2412yes—
931C22×D4C2412yes—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2414yes—
936C22×D4C2414yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2411yescharacteristic
954C23×C4C2414yes—
955C23×C4C2414yes—
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2411yescharacteristic
960C23×C4C2414yes—
961C23×C4C2412yes—
962C23×C4C2412yes—
963C23×C4C2411yescharacteristic
964C4⋊Q8—24no—
965C4⋊Q8—24no—
966C4⋊Q8—24no—
967C4⋊Q8—28no—
968C4⋊Q8—216no—
969C4⋊Q8—42no—
970#127—24no—
971#127—216no—
972#127—24no—
973#127—24no—
974#127—42no—
975#126—216no—
976#126—216no—
977#126—216no—
978#126—216no—
979#125—28no—
980#125—28no—
981#125—28no—
982#125—28no—
983#125—216no—
984#125—216no—
985#124—24no—
986#124—24no—
987#124—24no—
988#124—28no—
989#124—24no—
990#124—24no—
991#124—24no—
992#124—216no—
993#124—216no—
994#124—42no—
995#124—42no—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—216no—
1000#123—216no—
1001#123—44no—
1002#123—48no—
1003#123—44no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—216no—
1009C22⋊Q8—216no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—216no—
1013C22⋊Q8—216no—
1014C22⋊Q8—44no—
1015C22⋊Q8—44no—
1016C22⋊Q8C2×D4116yes—
1017C22⋊Q8C2×D4116yes—
1018#121—28no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—216no—
1025#121—216no—
1026#121—28no—
1027#121—216no—
1028#121—216no—
1029#121—216no—
1030#121—28no—
1031#121—216no—
1032#121—28no—
1033#121—28no—
1034#121—216no—
1035#121—216no—
1036#121—44no—
1037#121—48no—
1038#121—48no—
1039#121—44no—
1040#121—44no—
1041#121—44no—
1042#121—44no—
1043#121—44no—
1044#121—48no—
1045#121C2×D4116yes—
1046#121C2×D4132yes—
1047#121C2×D4116yes—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—28no—
1055C4×Q8—28no—
1056C4×Q8—42no—
1057C4×Q8—42no—
1058C4×Q8—44no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—216no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—216no—
1076C4×D4—216no—
1077C4×D4—216no—
1078C4×D4—216no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—48no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—48no—
1088#117—24no—
1089#117—28no—
1090#117—28no—
1091#117—24no—
1092#117—24no—
1093#117—28no—
1094#117—216no—
1095#117—216no—
1096#117—44no—
1097#117—44no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—44no—
1106C2×C4⋊C4—42no—
1107C2×C4⋊C4—42no—
1108C2×C4⋊C4—44no—
1109C2×C4⋊C4—44no—
1110C2×C4⋊C4C2×D418yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C42—28no—
1231C2×C42—24no—
1232C2×C42—24no—
1233C2×C42—28no—
1234C2×C42—24no—
1235C2×C42—44no—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2414yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2414yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2414yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320C24C2512yes—
1321C24C2512yes—
1322C24C2512yes—
1323C24C2512yes—
1324C24C2512yes—
1325C24C2511yescharacteristic
1326#41—232no—
1327#41—232no—
1328#41—464no—
1329#41—464no—
1330#41—432no—
1331#41—432no—
1332#41—432no—
1333#41—432no—
1334#41—416no—
1335#41—416no—
1336#41—416no—
1337C2×Q8—232no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—28no—
1342C2×Q8—28no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—28no—
1349C2×Q8—28no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—44no—
1360C2×Q8—44no—
1361C2×Q8—432no—
1362C2×Q8—432no—
1363C2×Q8—432no—
1364C2×Q8—432no—
1365C2×Q8C22×D414yes—
1366C2×Q8C22×D414yes—
1367C2×Q8C2×#4118yes—
1368C2×Q8C2×#4118yes—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—28no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—28no—
1399C2×D4—28no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4C22×D418yes—
1437C2×D4C22×D418yes—
1438C2×D4C22×D414yes—
1439C2×D4C22×D414yes—
1440C2×D4C22×D4116yes—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—28no—
1449C22×C4—28no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—28no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—28no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—28no—
1467C22×C4—28no—
1468C22×C4—28no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—42no—
1480C22×C4—41no—
1481C22×C4—42no—
1482C22×C4—41no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—41no—
1490C22×C4—41no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—41no—
1495C22×C4—44no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—41no—
1506C22×C4—41no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—44no—
1511C22×C4—41no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4C22×D418yes—
1516C22×C4C22×D418yes—
1517C22×C4C22×D418yes—
1518C22×C4C22×D414yes—
1519C22×C4C2×#4118yes—
1520C22×C4C2×#4114yes—
1521C22×C4H(5,𝔽2)14yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2514yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2514yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2514yes—
1544C22×C4C2512yes—
1545C22×C4C2512yes—
1546C22×C4C2514yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—28no—
1555C4⋊C4—28no—
1556C4⋊C4—24no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—28no—
1560C4⋊C4—28no—
1561C4⋊C4—28no—
1562C4⋊C4—28no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—28no—
1576C4⋊C4—28no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—22no—
1580C4⋊C4—22no—
1581C4⋊C4—28no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—28no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—44no—
1589C4⋊C4—41no—
1590C4⋊C4—41no—
1591C4⋊C4—41no—
1592C4⋊C4—44no—
1593C4⋊C4—41no—
1594C4⋊C4—44no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—44no—
1602C4⋊C4—42no—
1603C4⋊C4C22×D418yes—
1604C4⋊C4C22×D418yes—
1605C4⋊C4C22×D4116yes—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4C22×D4116yes—
1669C22⋊C4C22×D4116yes—
1670C42—22no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—28no—
1678C42—22no—
1679C42—22no—
1680C42—28no—
1681C42—22no—
1682C42—22no—
1683C42—28no—
1684C42—28no—
1685C42—24no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—22no—
1690C42—24no—
1691C42—42no—
1692C42—42no—
1693C42—44no—
1694C42—44no—
1695C42—44no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23C23×D414yes—
1734C23C23×D414yes—
1735C23C23×D412yes—
1736C23C22×#4112yes—
1737C23C2×H(5,𝔽2)12yes—
1738C23C2611yescharacteristic
1739Q8—216no—
1740Q8—216no—
1741Q8—28no—
1742Q8—28no—
1743Q8—416no—
1744Q8—416no—
1745Q8—44no—
1746Q8—44no—
1747Q8—44no—
1748D4—216no—
1749D4—216no—
1750D4—28no—
1751D4—28no—
1752D4—416no—
1753D4—48no—
1754D4—48no—
1755D4—416no—
1756D4—416no—
1757D4—48no—
1758D4—48no—
1759D4—48no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—88no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—88no—
1769D4—84no—
1770D4—84no—
1771D4—164no—
1772C2×C4—21no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—24no—
1783C2×C4—21no—
1784C2×C4—216no—
1785C2×C4—216no—
1786C2×C4—216no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—48no—
1851C2×C4—416no—
1852C2×C4—416no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—416no—
1856C2×C4—416no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—48no—
1860C2×C4—88no—
1861C2×C4—84no—
1862C2×C4—84no—
1863C2×C4—82no—
1864C2×C4—82no—
1865C2×C4—84no—
1866C2×C4—88no—
1867C2×C4—82no—
1868C2×C4—84no—
1869C2×C4—84no—
1870C2×C4—82no—
1871C2×C4—84no—
1872C2×C4—164no—
1873C2×C4#546116yes—
1874C2×C4C23×D418yes—
1875C2×C4C23×D414yes—
1876C2×C4C23×D414yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C22×#4118yes—
1880C2×C4C22×#4112yes—
1881C2×C4C22×#4112yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4C2×H(5,𝔽2)12yes—
1884C2×C4#58512yes—
1885C2×C4#58512yes—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—24no—
1893C22—24no—
1894C22—24no—
1895C22—24no—
1896C22—24no—
1897C22—24no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22C2×#54614yes—
1928C22C24×D411yescharacteristic
1929C22C23×#4111yescharacteristic
1930C22C22×H(5,𝔽2)11yescharacteristic
1931C22C2×#58511yescharacteristic
1932C22C2×#58511yescharacteristic
1933C222−1+611yescharacteristic
1934C222−1+611yescharacteristic
1935C4—28no—
1936C4—22no—
1937C4—22no—
1938C4—28no—
1939C4—24no—
1940C4—24no—
1941C4—42no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—42no—
1948C4—41no—
1949C4—44no—
1950C4—41no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—44no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4C2×#54614yes—
1963C4C2×#54614yes—
1964C2—24no—
1965C2—44no—
1966C2—44no—
1967C2—82no—
1968C2—82no—
1969C2—82no—
1970C2C22×#54611yescharacteristic
1971C2#6283011yescharacteristic
1972C2#6288811yescharacteristic
1973C2#6298811yescharacteristic
1974C2#6300211yescharacteristic
1975C2#6300711yescharacteristic
1976C2#6300711yescharacteristic
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×#3512C2semidirect
2. C2×#3497C2semidirect
3. #59813C2semidirect
4. #59806C2semidirect
5. #59770C2semidirect
6. #59651C2semidirect
7. #59141C2semidirect
8. #59110C2semidirect
9. #59104C2semidirect
10. #59101C2semidirect
11. #59075C2semidirect
12. #59061C2semidirect
13. #45416C2semidirect
14. #45386C2semidirect
15. #45322C2semidirect
16. #45265C2semidirect
17. #45246C2semidirect
18. #45136C2semidirect
19. #45094C2semidirect
20. #44889C2semidirect
21. #44446C2semidirect
22. #43906C2semidirect
23. #35660C2semidirect
24. #35660C2semidirect
25. #35649C2semidirect
26. #35564C2semidirect
27. #35564C2semidirect
28. #35517C2semidirect
29. #34937C2semidirect
30. #34744C2semidirect
31. C2×#2453C2semidirect
32. #34267C2semidirect
33. #34266C2semidirect
34. #34259C2semidirect
35. #34259C2semidirect
343. #537D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#34972
#598132
#598062
#597702
#596512
#591412
#591102
#591042
#591012
#590752
#590612
#454162
#453862
#453222
#452652
#452462
#451362
#450942
#448892
#444462
#439062
#356602
#356492
#355642
#355172
#349372
#347442
C2×#24532
#342672
#342662
#342592