Finite Group Databasebeta

← #7683713

Subgroups — #7683713

Order 512.

7900 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59811C212yesmaximal, complemented
4#59809C212yesmaximal, complemented
5#59651C212yesmaximal, complemented
6#59550C212yesmaximal, complemented
7#59146C212yesmaximal, complemented
8#59145C212yesmaximal, complemented
9#59144C212yesmaximal, complemented
10#59134C212yesmaximal, complemented
11#59092C214yesmaximal, complemented
12#59088C214yesmaximal, complemented
13#45416C212yesmaximal, complemented
14#45412C212yesmaximal, complemented
15#45323C212yesmaximal, complemented
16#45291C212yesmaximal, complemented
17#45240C212yesmaximal, complemented
18#45146C212yesmaximal, complemented
19#45144C212yesmaximal, complemented
20#44996C212yesmaximal, complemented
21#44513C214yesmaximal, complemented
22#43974C214yesmaximal, complemented
23#35667C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35660C211yesmaximal, characteristic, complemented
26#35628C211yesmaximal, characteristic, complemented
27#35621C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#34937C211yesmaximal, characteristic, complemented
30#34745C211yesmaximal, characteristic, complemented
31C2×#2446C211yesmaximal, characteristic, complemented
32#34268C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34259C211yesmaximal, characteristic, complemented
35#34257C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×2−1+4C2211yescharacteristic
38#3507—216no—
39#3499—216no—
40C2×#559C2212yes—
41C2×#557C2212yes—
42C2×#556C2212yes—
43C2×#556C2212yes—
44C2×#556C2212yes—
45C2×#554C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×D4×Q8C2212yes—
49C2×D4×Q8C2212yes—
50C2×#547C2212yes—
51C2×#547C2212yes—
52C2×#547C2214yes—
53C2×#547C2214yes—
54C2×#539C2214yes—
55C2×#537C2211yescharacteristic
56C2×#536C2212yes—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2212yes—
60C2×#536C2211yescharacteristic
61C2×#536C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#532C2212yes—
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C22×C4⋊Q8C2212yes—
68C22×C4⋊Q8C2211yescharacteristic
69C2×#529C2214yes—
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#519C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76#2716C2214yes—
77#2716C2214yes—
78#2713C2214yes—
79#2713C2214yes—
80#2707C2214yes—
81#2706C2214yes—
82#2705C2214yes—
83#2704C2214yes—
84#2703C2214yes—
85#2702C2214yes—
86#2700C2214yes—
87#2698C2214yes—
88#2696C2214yes—
89#2695C2214yes—
90#2694C2214yes—
91#2693C2214yes—
92#2692C2214yes—
93#2691C2214yes—
94#2690C2214yes—
95#2689C2214yes—
96#2687C2214yes—
97#2687C2214yes—
98#2681C2214yes—
99#2676C2214yes—
100#2592C2212yes—
101#2592C2212yes—
102#2568C2212yes—
103#2568C2212yes—
104#2560C2214yes—
105#2559C2214yes—
106#2558C2214yes—
107#2557C2214yes—
108#2556C2214yes—
109#2554C2214yes—
110#2553C2214yes—
111#2550C2214yes—
112#2549C2214yes—
113#2548C2211yescharacteristic
114#2547C2212yes—
115#2547C2211yescharacteristic
116#2546C2211yescharacteristic
117#2546C2212yes—
118#2546C2212yes—
119#2546C2212yes—
120#2545C2212yes—
121#2545C2212yes—
122#2545C2211yescharacteristic
123#2545C2212yes—
124#2545C2211yescharacteristic
125#2544C2212yes—
126#2544C2211yescharacteristic
127#2544C2211yescharacteristic
128#2543C2212yes—
129#2543C2212yes—
130#2541C2211yescharacteristic
131#2492C2212yes—
132#2492C2212yes—
133#2492C2214yes—
134#2489C2212yes—
135#2489C2212yes—
136#2488C2214yes—
137#2488C2214yes—
138#2488C2214yes—
139#2487C2212yes—
140#2486C2212yes—
141#2485C2212yes—
142#2485C2212yes—
143#2481C2214yes—
144#2481C2214yes—
145#2477C2214yes—
146#2476C2214yes—
147#2473C2214yes—
148#2473C2214yes—
149#2471C2214yes—
150#2470C2214yes—
151#2468C2214yes—
152#2466C2214yes—
153#2465C2214yes—
154#2464C2214yes—
155#2459C2214yes—
156#2458C2214yes—
157#2457C2214yes—
158#2457C2214yes—
159#2456C2214yes—
160#2454C2211yescharacteristic
161#2454C2211yescharacteristic
162#2453C2211yescharacteristic
163#2453C2211yescharacteristic
164#2452C2211yescharacteristic
165#2452C2211yescharacteristic
166#2451C2214yes—
167#2451C2211yescharacteristic
168#2451C2211yescharacteristic
169#2450C2214yes—
170#2450C2214yes—
171#2450C2212yes—
172#2450C2212yes—
173#2449C2212yes—
174#2449C2212yes—
175#2448C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2446C2212yes—
185#2446C2212yes—
186#2445C2212yes—
187#2444C2214yes—
188#2443C2214yes—
189#2442C2214yes—
190#2439C2214yes—
191#2438C2214yes—
192#2436C2212yes—
193#2436C2212yes—
194#2434C2212yes—
195#2434C2212yes—
196#2432C2212yes—
197#2432C2212yes—
198#2431C2212yes—
199#2431C2212yes—
200#2430C2214yes—
201#2430C2214yes—
202#2430C2214yes—
203#2430C2214yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2425C2214yes—
209#2425C2214yes—
210#2425C2214yes—
211#2417C2212yes—
212#2417C2212yes—
213#2417C2214yes—
214#2416C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2413C2214yes—
219#2413C2214yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2409C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2396C2212yes—
229#2396C2212yes—
230C2×#400C2212yes—
231#2392C2212yes—
232#2392C2212yes—
233C2×#398C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2364C2214yes—
239#2364C2214yes—
240#2363C2212yes—
241#2362C2212yes—
242#2361C2212yes—
243#2361C2214yes—
244#2360C2214yes—
245#2360C2212yes—
246#2359C2214yes—
247#2359C2214yes—
248#2359C2214yes—
249#2352C2214yes—
250#2341C2212yes—
251#2341C2212yes—
252#2341C2212yes—
253#2341C2212yes—
254Q8×C22⋊C4C2212yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260#2339C2212yes—
261#2339C2212yes—
262#2339C2214yes—
263#2339C2214yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2212yes—
272#2311C2214yes—
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic
275#2310C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2212yes—
289#2297C2214yes—
290#2296C2211yescharacteristic
291#2296C2211yescharacteristic
292C2×#391C2212yes—
293C2×#391C2211yescharacteristic
294C2×#391C2211yescharacteristic
295C2×#391C2211yescharacteristic
296C2×#389C2211yescharacteristic
297C2×#387C2212yes—
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×#41C2312yes—
310C22×#41C2314yes—
311C22×#41C2312yes—
312C22×#41C2314yes—
313C22×#41C2312yes—
314C22×#41C2312yes—
315C22×#41C2311yescharacteristic
316C22×#41C2311yescharacteristic
317C23×Q8C2311yescharacteristic
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×Q8C2312yes—
322C23×Q8C2311yescharacteristic
323#559—216no—
324#557—216no—
325#556—216no—
326#556—216no—
327#556—216no—
328#554—216no—
329#552—216no—
330#552—216no—
331D4×Q8—216no—
332D4×Q8—216no—
333#547—232no—
334#547—232no—
335#547—216no—
336#547—216no—
337#539—232no—
338#537—28no—
339#536—28no—
340#536—216no—
341#536—216no—
342#536—28no—
343#536—44no—
344#536D4116yescomplemented
345#533—28no—
346#532—28no—
347#532—28no—
348#532—216no—
349#532—44no—
350C2×C4⋊Q8—28no—
351C2×C4⋊Q8—216no—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2314yes—
359C2×C4⋊Q8C2314yes—
360C2×C4⋊Q8C2311yescharacteristic
361C2×C4⋊Q8C2311yescharacteristic
362C2×C4⋊Q8C2311yescharacteristic
363C2×C4⋊Q8C2312yes—
364C2×C4⋊Q8C2311yescharacteristic
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2312yes—
367C2×#127C2311yescharacteristic
368C2×#127C2311yescharacteristic
369C2×#127C2311yescharacteristic
370#529—232no—
371C2×#126C2314yes—
372C2×#126C2314yes—
373C2×#126C2314yes—
374C2×#126C2314yes—
375C2×#125C2314yes—
376C2×#125C2311yescharacteristic
377C2×#125C2311yescharacteristic
378C2×#125C2314yes—
379C2×#125C2314yes—
380C2×#124C2312yes—
381C2×#124C2314yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435#520—28no—
436#520—28no—
437#519—44no—
438C4×#41—28no—
439C4×#41—44no—
440C2×C4×Q8—28no—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2314yes—
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2314yes—
490C2×#117C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2314yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C42C2312yes—
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2312yes—
509#400C2314yes—
510#400C2314yes—
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2312yes—
518#400C2312yes—
519#400C2314yes—
520#399C2312yes—
521#399C2312yes—
522#399C2314yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2312yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2312yes—
550#396C2312yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#395C2312yes—
564#395C2312yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2312yes—
587#393C2312yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#392C2312yes—
592#392C2312yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#391C2314yes—
598#391C2311yescharacteristic
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2312yes—
608#391C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2314yes—
621#391C2312yes—
622#391C2312yes—
623#391C2311yescharacteristic
624#391C2311yescharacteristic
625#391C2314yes—
626#391C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2311yescharacteristic
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2311yescharacteristic
637#390C2312yes—
638#390C2312yes—
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2311yescharacteristic
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2314yes—
653#390C2311yescharacteristic
654#390C2312yes—
655#390C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2312yes—
665#389C2314yes—
666#389C2314yes—
667#389C2312yes—
668#389C2314yes—
669#389C2314yes—
670#389C2311yescharacteristic
671#389C2314yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2312yes—
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2312yes—
724#387C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#385C2314yes—
759#385C2312yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#382C2314yes—
780#382C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C2×#95C2314yes—
844C2×#95C2314yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2311yescharacteristic
852C2×#95C2312yes—
853C2×#95C2311yescharacteristic
8542−1+4—464no—
8552−1+4—464no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—216no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—216no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—216no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—28no—
872C2×#41—28no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—48no—
879C2×#41—48no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41C2×D418yes—
885C2×#41#4118yes—
886C22×Q8—28no—
887C22×Q8—28no—
888C22×Q8—28no—
889C22×Q8—28no—
890C22×Q8—28no—
891C22×Q8—24no—
892C22×Q8—28no—
893C22×Q8—24no—
894C22×Q8—28no—
895C22×Q8—28no—
896C22×Q8—24no—
897C22×Q8—24no—
898C22×Q8—24no—
899C22×Q8—44no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8C2×D418yes—
904C22×Q8C2411yescharacteristic
905C22×Q8C2412yes—
906C22×Q8C2412yes—
907C22×Q8C2411yescharacteristic
908C22×Q8C2412yes—
909C22×Q8C2414yes—
910C22×Q8C2414yes—
911C22×Q8C2412yes—
912C22×Q8C2412yes—
913C22×Q8C2411yescharacteristic
914C22×Q8C2411yescharacteristic
915C22×Q8C2412yes—
916C22×D4C2412yes—
917C22×D4C2411yescharacteristic
918C22×D4C2412yes—
919C22×D4C2411yescharacteristic
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2412yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2412yes—
928C22×D4C2411yescharacteristic
929C22×D4C2412yes—
930C22×D4C2414yes—
931C22×D4C2412yes—
932C22×D4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C23×C4C2414yes—
942C23×C4C2414yes—
943C23×C4C2411yescharacteristic
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2411yescharacteristic
951C23×C4C2412yes—
952C23×C4C2414yes—
953C23×C4C2414yes—
954C23×C4C2411yescharacteristic
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C4⋊Q8—24no—
959C4⋊Q8—28no—
960C4⋊Q8—28no—
961C4⋊Q8—28no—
962C4⋊Q8—28no—
963C4⋊Q8—24no—
964C4⋊Q8—28no—
965C4⋊Q8—216no—
966C4⋊Q8—216no—
967C4⋊Q8—24no—
968C4⋊Q8—24no—
969C4⋊Q8—28no—
970C4⋊Q8—42no—
971C4⋊Q8—44no—
972C4⋊Q8C2×D4116yes—
973#127—24no—
974#127—24no—
975#127—42no—
976#126—216no—
977#126—216no—
978#126—216no—
979#126—216no—
980#125—216no—
981#125—24no—
982#125—24no—
983#125—216no—
984#125—216no—
985#124—24no—
986#124—24no—
987#124—28no—
988#124—24no—
989#124—24no—
990#124—216no—
991#124—28no—
992#124—42no—
993#124—42no—
994#124—44no—
995#124C2×D4116yes—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—216no—
1000#123—216no—
1001#123—216no—
1002#123—216no—
1003#123—216no—
1004#123—48no—
1005#123—48no—
1006#123C2×D4132yes—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—216no—
1014C22⋊Q8—216no—
1015C22⋊Q8—216no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—216no—
1020C22⋊Q8—216no—
1021C22⋊Q8—216no—
1022C22⋊Q8—44no—
1023C22⋊Q8—44no—
1024C22⋊Q8—44no—
1025C22⋊Q8C2×D4116yes—
1026C22⋊Q8C2×D4116yes—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—216no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—44no—
1038#121—44no—
1039#121—44no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—216no—
1048C4×Q8—28no—
1049C4×Q8—28no—
1050C4×Q8—28no—
1051C4×Q8—42no—
1052C4×Q8—42no—
1053C4×Q8—44no—
1054C4×Q8—44no—
1055C4×Q8—44no—
1056C4×Q8—44no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—216no—
1068C4×D4—216no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—28no—
1072C4×D4—42no—
1073C4×D4—42no—
1074C4×D4—44no—
1075C4×D4—44no—
1076C4×D4—48no—
1077C4×D4—44no—
1078C4×D4—44no—
1079#117—24no—
1080#117—28no—
1081#117—24no—
1082#117—24no—
1083#117—28no—
1084#117—216no—
1085#117—216no—
1086#117—28no—
1087#117—44no—
1088#117—48no—
1089#117C2×D418yes—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—24no—
1096C2×C4⋊C4—28no—
1097C2×C4⋊C4—216no—
1098C2×C4⋊C4—216no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—44no—
1101C2×C4⋊C4—42no—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C42—28no—
1224C2×C42—24no—
1225C2×C42—24no—
1226C2×C42—24no—
1227C2×C42—28no—
1228C2×C42—44no—
1229C2×C42C2411yescharacteristic
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317C24C2512yes—
1318C24C2512yes—
1319C24C2512yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322#41—232no—
1323#41—232no—
1324#41—464no—
1325#41—432no—
1326#41—432no—
1327#41—432no—
1328#41—464no—
1329#41—432no—
1330#41—416no—
1331#41—416no—
1332C2×Q8—232no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—28no—
1337C2×Q8—28no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—28no—
1347C2×Q8—28no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—44no—
1361C2×Q8—44no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—42no—
1365C2×Q8—432no—
1366C2×Q8—432no—
1367C2×Q8—432no—
1368C2×Q8—432no—
1369C2×Q8—416no—
1370C2×Q8C22×D418yes—
1371C2×Q8C22×D414yes—
1372C2×Q8C22×D418yes—
1373C2×Q8C2×#4114yes—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—28no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4C22×D418yes—
1422C2×D4C22×D414yes—
1423C2×D4C2×#4118yes—
1424C2×D4C2×#4114yes—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—28no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—28no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—28no—
1449C22×C4—28no—
1450C22×C4—24no—
1451C22×C4—28no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—28no—
1455C22×C4—28no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—28no—
1466C22×C4—24no—
1467C22×C4—41no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—41no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—41no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—41no—
1492C22×C4—41no—
1493C22×C4—41no—
1494C22×C4C22×D418yes—
1495C22×C4C22×D418yes—
1496C22×C4C22×D414yes—
1497C22×C4C2×#4118yes—
1498C22×C4C2×#4114yes—
1499C22×C4H(5,𝔽2)14yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2514yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2514yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2514yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2514yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—28no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—28no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—28no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—41no—
1575C4⋊C4—44no—
1576C4⋊C4—41no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—42no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4C22×D414yes—
1591C4⋊C4C22×D4116yes—
1592C4⋊C4C22×D4116yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C42−1+414yescomplemented
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4C22×D4116yes—
1649C22⋊C4C22×D418yes—
1650C22⋊C4C22×D4116yes—
1651C42—22no—
1652C42—28no—
1653C42—22no—
1654C42—24no—
1655C42—24no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—28no—
1661C42—22no—
1662C42—22no—
1663C42—28no—
1664C42—28no—
1665C42—24no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—22no—
1670C42—24no—
1671C42—24no—
1672C42—42no—
1673C42—42no—
1674C42—44no—
1675C42—44no—
1676C42—44no—
1677C42—44no—
1678C42C22×D418yes—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23C23×D414yes—
1710C23C23×D412yes—
1711C23C22×#4114yes—
1712C23C22×#4112yes—
1713C23C2×H(5,𝔽2)12yes—
1714C23C2611yescharacteristic
1715Q8—216no—
1716Q8—216no—
1717Q8—28no—
1718Q8—28no—
1719Q8—48no—
1720Q8—416no—
1721Q8—416no—
1722Q8—48no—
1723Q8—48no—
1724Q8—44no—
1725Q8—44no—
1726Q8—84no—
1727D4—216no—
1728D4—216no—
1729D4—28no—
1730D4—28no—
1731D4—48no—
1732D4—48no—
1733D4—48no—
1734D4—416no—
1735D4—416no—
1736D4—48no—
1737D4—48no—
1738D4—44no—
1739D4—44no—
1740D4—84no—
1741D4—88no—
1742D4—84no—
1743D4—84no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—216no—
1763C2×C4—216no—
1764C2×C4—216no—
1765C2×C4—21no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—24no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—24no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—48no—
1823C2×C4—48no—
1824C2×C4—416no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—416no—
1830C2×C4—416no—
1831C2×C4—416no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—88no—
1836C2×C4—84no—
1837C2×C4—84no—
1838C2×C4—84no—
1839C2×C4—88no—
1840C2×C4—82no—
1841C2×C4—82no—
1842C2×C4—84no—
1843C2×C4#546116yes—
1844C2×C4C23×D414yes—
1845C2×C4C23×D414yes—
1846C2×C4C23×D418yes—
1847C2×C4C23×D414yes—
1848C2×C4C23×D412yes—
1849C2×C4C23×D412yes—
1850C2×C4C22×#4114yes—
1851C2×C4C22×#4112yes—
1852C2×C4C22×#4112yes—
1853C2×C4C2×H(5,𝔽2)12yes—
1854C2×C4C2×H(5,𝔽2)12yes—
1855C2×C4C2×2−1+412yes—
1856C2×C4C2×2−1+412yes—
1857C2×C4C2×2−1+412yes—
1858C2×C4#58512yes—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—24no—
1866C22—24no—
1867C22—24no—
1868C22—24no—
1869C22—24no—
1870C22—24no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22C2×#54614yes—
1894C22C24×D411yescharacteristic
1895C22C23×#4111yescharacteristic
1896C22C22×H(5,𝔽2)11yescharacteristic
1897C22C22×2−1+411yescharacteristic
1898C22C2×#58511yescharacteristic
1899C222−1+611yescharacteristic
1900C222−1+611yescharacteristic
1901C4—22no—
1902C4—24no—
1903C4—22no—
1904C4—22no—
1905C4—24no—
1906C4—22no—
1907C4—24no—
1908C4—24no—
1909C4—28no—
1910C4—44no—
1911C4—41no—
1912C4—41no—
1913C4—42no—
1914C4—41no—
1915C4—44no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—42no—
1920C4—41no—
1921C4—42no—
1922C4—42no—
1923C4—42no—
1924C4—41no—
1925C4—41no—
1926C4—42no—
1927C4—44no—
1928C4—42no—
1929C4C2×#54614yes—
1930C4C2×#54614yes—
1931C2—24no—
1932C2—44no—
1933C2—44no—
1934C2—82no—
1935C2—82no—
1936C2C22×#54611yescharacteristic
1937C2#6283511yescharacteristic
1938C2#6288811yescharacteristic
1939C2#6299511yescharacteristic
1940C2D4×2−1+411yescharacteristic
1941C2#6300111yescharacteristic
1942C2#6300211yescharacteristic
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×#3499C2semidirect
2. C2×#3507C2semidirect
3. #59811C2semidirect
4. #59809C2semidirect
5. #59651C2semidirect
6. #59550C2semidirect
7. #59146C2semidirect
8. #59145C2semidirect
9. #59144C2semidirect
10. #59134C2semidirect
11. #59092C2semidirect
12. #59088C2semidirect
13. #45416C2semidirect
14. #45412C2semidirect
15. #45323C2semidirect
16. #45291C2semidirect
17. #45240C2semidirect
18. #45146C2semidirect
19. #45144C2semidirect
20. #44996C2semidirect
21. #44513C2semidirect
22. #43974C2semidirect
23. #35667C2semidirect
24. #35660C2semidirect
25. #35660C2semidirect
26. #35628C2semidirect
27. #35621C2semidirect
28. #35517C2semidirect
29. #34937C2semidirect
30. #34745C2semidirect
31. C2×#2446C2semidirect
32. #34268C2semidirect
33. #34267C2semidirect
34. #34259C2semidirect
35. #34257C2semidirect
344. #536D4semidirect
1594. C4⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
C2×#35072
#598112
#598092
#596512
#595502
#591462
#591452
#591442
#591342
#590922
#590882
#454162
#454122
#453232
#452912
#452402
#451462
#451442
#449962
#445132
#439742
#356672
#356602
#356282
#356212
#355172
#349372
#347452
C2×#24462
#342682
#342672
#342592
#342572