Finite Group Databasebeta

← #7681052

Subgroups — #7681052

Order 512.

7896 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#59102C212yesmaximal, complemented
4#59098C212yesmaximal, complemented
5#59096C212yesmaximal, complemented
6#59092C214yesmaximal, complemented
7#59088C214yesmaximal, complemented
8#59075C212yesmaximal, complemented
9#45322C212yesmaximal, complemented
10#45289C212yesmaximal, complemented
11#45175C212yesmaximal, complemented
12#44987C212yesmaximal, complemented
13#44513C214yesmaximal, complemented
14#43974C214yesmaximal, complemented
15#39418C212yesmaximal, complemented
16#39417C212yesmaximal, complemented
17#37750C212yesmaximal, complemented
18#37749C212yesmaximal, complemented
19#37699C212yesmaximal, complemented
20#37695C212yesmaximal, complemented
21#36141C212yesmaximal, complemented
22#36129C212yesmaximal, complemented
23#35667C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35660C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35312C211yesmaximal, characteristic, complemented
28#35308C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#34744C211yesmaximal, characteristic, complemented
31C2×#2446C211yesmaximal, characteristic, complemented
32#34276C211yesmaximal, characteristic, complemented
33#34259C211yesmaximal, characteristic, complemented
34#34257C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×2−1+4C2211yescharacteristic
38#3499—216no—
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2212yes—
41C2×#547C2212yes—
42C2×#547C2212yes—
43C2×#547C2214yes—
44C2×#547C2214yes—
45#3461—216no—
46C2×#544C2211yescharacteristic
47C2×#542C2212yes—
48C2×#542C2212yes—
49C2×#541C2212yes—
50C2×#541C2212yes—
51C2×#539C2214yes—
52C2×#537C2211yescharacteristic
53C2×#537C2211yescharacteristic
54C2×#536C2211yescharacteristic
55C2×#536C2212yes—
56C2×#536C2212yes—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#532C2212yes—
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C22×C4⋊Q8C2212yes—
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2214yes—
70C2×#520C2211yescharacteristic
71C2×#519C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76#2862C2212yes—
77#2861C2212yes—
78#2857C2212yes—
79#2857C2212yes—
80#2851C2212yes—
81#2850C2212yes—
82#2716C2214yes—
83#2716C2214yes—
84#2713C2214yes—
85#2713C2214yes—
86#2707C2214yes—
87#2706C2214yes—
88#2705C2214yes—
89#2704C2214yes—
90#2703C2214yes—
91#2702C2214yes—
92#2700C2214yes—
93#2698C2214yes—
94#2696C2214yes—
95#2695C2214yes—
96#2694C2214yes—
97#2693C2214yes—
98#2692C2214yes—
99#2691C2214yes—
100#2690C2214yes—
101#2689C2214yes—
102#2687C2214yes—
103#2687C2214yes—
104#2681C2214yes—
105#2676C2214yes—
106#2642C2212yes—
107#2640C2212yes—
108#2629C2212yes—
109#2628C2212yes—
110#2621C2212yes—
111#2620C2212yes—
112#2560C2214yes—
113#2559C2214yes—
114#2558C2214yes—
115#2557C2214yes—
116#2556C2214yes—
117#2554C2214yes—
118#2553C2214yes—
119#2550C2214yes—
120#2549C2214yes—
121#2546C2212yes—
122#2546C2212yes—
123#2545C2212yes—
124#2545C2212yes—
125#2543C2214yes—
126#2492C2214yes—
127#2492C2212yes—
128#2492C2212yes—
129#2489C2212yes—
130#2489C2212yes—
131#2488C2214yes—
132#2488C2214yes—
133#2488C2214yes—
134#2481C2214yes—
135#2481C2214yes—
136#2477C2214yes—
137#2476C2214yes—
138#2473C2214yes—
139#2473C2214yes—
140#2471C2214yes—
141#2470C2214yes—
142#2468C2214yes—
143#2466C2214yes—
144#2465C2214yes—
145#2464C2214yes—
146#2459C2214yes—
147#2458C2214yes—
148#2457C2214yes—
149#2457C2214yes—
150#2456C2214yes—
151#2454C2212yes—
152#2453C2212yes—
153#2452C2212yes—
154#2451C2214yes—
155#2451C2212yes—
156#2450C2214yes—
157#2450C2214yes—
158#2450C2214yes—
159#2449C2214yes—
160#2448C2211yescharacteristic
161#2448C2211yescharacteristic
162#2447C2211yescharacteristic
163#2447C2211yescharacteristic
164#2446C2212yes—
165#2446C2211yescharacteristic
166#2446C2212yes—
167#2446C2211yescharacteristic
168#2446C2212yes—
169#2446C2212yes—
170#2446C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2446C2212yes—
174#2445C2211yescharacteristic
175#2445C2211yescharacteristic
176#2444C2212yes—
177#2444C2212yes—
178#2443C2212yes—
179#2443C2212yes—
180#2442C2214yes—
181#2439C2214yes—
182#2438C2214yes—
183#2436C2212yes—
184#2436C2212yes—
185#2434C2212yes—
186#2434C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2431C2212yes—
190#2431C2212yes—
191#2430C2214yes—
192#2430C2214yes—
193#2430C2214yes—
194#2430C2214yes—
195#2429C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2428C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2425C2214yes—
208#2425C2214yes—
209#2425C2214yes—
210#2417C2214yes—
211#2417C2212yes—
212#2416C2212yes—
213#2416C2214yes—
214#2415C2212yes—
215#2414C2212yes—
216#2413C2214yes—
217#2413C2214yes—
218#2409C2212yes—
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2395C2212yes—
227#2395C2212yes—
228C2×#400C2212yes—
229C2×#398C2212yes—
230#2367C2211yescharacteristic
231#2367C2211yescharacteristic
232#2367C2211yescharacteristic
233#2367C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2365C2211yescharacteristic
237#2365C2211yescharacteristic
238#2364C2214yes—
239#2364C2212yes—
240#2364C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2361C2212yes—
244#2361C2212yes—
245#2360C2214yes—
246#2360C2212yes—
247#2360C2212yes—
248#2359C2214yes—
249#2359C2214yes—
250#2359C2214yes—
251#2352C2214yes—
252#2341C2212yes—
253#2341C2212yes—
254#2341C2212yes—
255#2341C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259Q8×C22⋊C4C2212yes—
260Q8×C22⋊C4C2212yes—
261Q8×C22⋊C4C2212yes—
262#2339C2212yes—
263#2339C2212yes—
264#2339C2214yes—
265#2339C2214yes—
266#2327C2212yes—
267#2326C2212yes—
268#2317C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2212yes—
272#2311C2214yes—
273#2311C2211yescharacteristic
274#2310C2212yes—
275#2310C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#124C2212yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2214yes—
286#2297C2212yes—
287#2296C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#391C2212yes—
292#2293C2212yes—
293C2×#389C2211yescharacteristic
294#2290C2212yes—
295#2290C2212yes—
296C2×#387C2212yes—
297C2×#387C2212yes—
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic
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×#41C2314yes—
310C22×#41C2312yes—
311C22×#41C2312yes—
312C22×#41C2314yes—
313C22×#41C2312yes—
314C22×#41C2312yes—
315C22×#41C2311yescharacteristic
316C22×#41C2311yescharacteristic
317C23×Q8C2311yescharacteristic
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×Q8C2312yes—
322C23×Q8C2311yescharacteristic
323D4×Q8—216no—
324D4×Q8—216no—
325#547—232no—
326#547—232no—
327#547—216no—
328#547—216no—
329#544—28no—
330#542—216no—
331#542—216no—
332#541—216no—
333#541—216no—
334#539—232no—
335#537—28no—
336#537—44no—
337#536—28no—
338#536—216no—
339#536—216no—
340#536—28no—
341#536—44no—
342#536D4116yescomplemented
343#533—216no—
344#533—216no—
345#532—28no—
346#532—28no—
347#532—216no—
348C2×C4⋊Q8—28no—
349C2×C4⋊Q8—216no—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2314yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2314yes—
360C2×C4⋊Q8C2312yes—
361C2×C4⋊Q8C2312yes—
362C2×C4⋊Q8C2312yes—
363C2×C4⋊Q8C2312yes—
364C2×#127C2311yescharacteristic
365C2×#127C2311yescharacteristic
366#529—216no—
367#529—232no—
368#529—216no—
369C2×#126C2314yes—
370C2×#126C2314yes—
371C2×#126C2314yes—
372C2×#126C2314yes—
373C2×#125C2312yes—
374C2×#125C2314yes—
375C2×#125C2312yes—
376C2×#125C2314yes—
377C2×#125C2314yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432#520—44no—
433#519—44no—
434C4×#41—28no—
435C4×#41—28no—
436C4×#41—28no—
437C2×C4×Q8—28no—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×#117C2312yes—
478C2×#117C2311yescharacteristic
479C2×#117C2311yescharacteristic
480C2×#117C2311yescharacteristic
481C2×#117C2314yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C42C2312yes—
500C22×C42C2312yes—
501C22×C42C2311yescharacteristic
502C22×C42C2312yes—
503C22×C42C2312yes—
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506#400C2314yes—
507#400C2314yes—
508#400C2314yes—
509#400C2314yes—
510#400C2314yes—
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2312yes—
516#400C2312yes—
517#399C2314yes—
518#399C2312yes—
519#399C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2312yes—
529#398C2312yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#393C2314yes—
575#393C2314yes—
576#393C2314yes—
577#393C2314yes—
578#393C2314yes—
579#393C2314yes—
580#393C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#391C2314yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2312yes—
598#391C2314yes—
599#391C2312yes—
600#391C2314yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2314yes—
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2314yes—
611#391C2314yes—
612#391C2314yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2314yes—
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2311yescharacteristic
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#390C2314yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2314yes—
638#390C2314yes—
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2312yes—
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#390C2311yescharacteristic
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2314yes—
665#389C2314yes—
666#389C2312yes—
667#389C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2312yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#384C2312yes—
775#382C2312yes—
776#382C2314yes—
777#382C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2312yes—
782#381C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841#376C2312yes—
842C2×#95C2314yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2311yescharacteristic
849C2×#95C2311yescharacteristic
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C43C2312yes—
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×Q8C2414yes—
909C22×Q8C2414yes—
910C22×Q8C2412yes—
911C22×Q8C2412yes—
912C22×Q8C2411yescharacteristic
913C22×Q8C2411yescharacteristic
914C22×Q8C2414yes—
915C22×D4C2412yes—
916C22×D4C2411yescharacteristic
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2412yes—
925C22×D4C2411yescharacteristic
926C22×D4C2412yes—
927C22×D4C2411yescharacteristic
928C22×D4C2414yes—
929C22×D4C2412yes—
930C22×D4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2411yescharacteristic
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2411yescharacteristic
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2411yescharacteristic
955C23×C4C2414yes—
956C23×C4C2411yescharacteristic
957C4⋊Q8—24no—
958C4⋊Q8—28no—
959C4⋊Q8—28no—
960C4⋊Q8—28no—
961C4⋊Q8—28no—
962C4⋊Q8—28no—
963C4⋊Q8—24no—
964C4⋊Q8—216no—
965C4⋊Q8—216no—
966C4⋊Q8—28no—
967C4⋊Q8—28no—
968C4⋊Q8—28no—
969C4⋊Q8—44no—
970C4⋊Q8C2×D4116yes—
971#127—24no—
972#127—24no—
973#126—216no—
974#126—216no—
975#126—216no—
976#126—216no—
977#125—216no—
978#125—28no—
979#125—216no—
980#125—216no—
981#125—28no—
982#124—28no—
983#124—24no—
984#124—24no—
985#124—24no—
986#124—24no—
987#124—216no—
988#124—28no—
989#124—44no—
990#124C2×D4116yes—
991#123—216no—
992#123—216no—
993#123—216no—
994#123—28no—
995#123—216no—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—216no—
1000#123—48no—
1001#123—44no—
1002#123C2×D4132yes—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—216no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—216no—
1011C22⋊Q8—216no—
1012C22⋊Q8—216no—
1013C22⋊Q8—216no—
1014C22⋊Q8—216no—
1015C22⋊Q8—216no—
1016C22⋊Q8—48no—
1017C22⋊Q8—44no—
1018C22⋊Q8—44no—
1019C22⋊Q8—44no—
1020C22⋊Q8—44no—
1021C22⋊Q8C2×D4116yes—
1022C22⋊Q8C2×D4116yes—
1023#121—216no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—216no—
1031#121—216no—
1032#121—48no—
1033#121—44no—
1034#121—44no—
1035#121—48no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—216no—
1047C4×Q8—44no—
1048C4×Q8—44no—
1049C4×Q8—44no—
1050C4×Q8—44no—
1051C4×Q8—44no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—216no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—48no—
1075#117—24no—
1076#117—28no—
1077#117—24no—
1078#117—24no—
1079#117—216no—
1080#117—216no—
1081#117—28no—
1082#117—28no—
1083#117—48no—
1084#117—44no—
1085#117C2×D418yes—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4—216no—
1092C2×C4⋊C4—216no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—42no—
1095C2×C4⋊C4—44no—
1096C2×C4⋊C4—44no—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C42—24no—
1215C2×C42—28no—
1216C2×C42—28no—
1217C2×C42—24no—
1218C2×C42—24no—
1219C2×C42—28no—
1220C2×C42—28no—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2414yes—
1259#95C2414yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314C24C2512yes—
1315C24C2512yes—
1316C24C2512yes—
1317C24C2512yes—
1318C24C2511yescharacteristic
1319#41—232no—
1320#41—232no—
1321#41—464no—
1322#41—432no—
1323#41—432no—
1324#41—432no—
1325#41—464no—
1326#41—432no—
1327#41—416no—
1328#41—416no—
1329C2×Q8—232no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—28no—
1333C2×Q8—28no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—28no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—28no—
1343C2×Q8—28no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—44no—
1356C2×Q8—44no—
1357C2×Q8—44no—
1358C2×Q8—44no—
1359C2×Q8—432no—
1360C2×Q8—432no—
1361C2×Q8—432no—
1362C2×Q8—432no—
1363C2×Q8—416no—
1364C2×Q8C22×D414yes—
1365C2×Q8C22×D418yes—
1366C2×Q8C22×D418yes—
1367C2×Q8C2×#4114yes—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—28no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—28no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4C22×D418yes—
1413C2×D4C22×D414yes—
1414C2×D4C2×#4118yes—
1415C2×D4C2×#4114yes—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—28no—
1428C22×C4—22no—
1429C22×C4—28no—
1430C22×C4—28no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—28no—
1443C22×C4—28no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—28no—
1448C22×C4—28no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—41no—
1466C22×C4—42no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—41no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4C22×D418yes—
1489C22×C4C22×D418yes—
1490C22×C4C22×D414yes—
1491C22×C4C2×#4118yes—
1492C22×C4C2×#4114yes—
1493C22×C4H(5,𝔽2)14yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2514yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2514yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2514yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—28no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—28no—
1545C4⋊C4—28no—
1546C4⋊C4—28no—
1547C4⋊C4—28no—
1548C4⋊C4—28no—
1549C4⋊C4—28no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—28no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4C22×D4116yes—
1580C4⋊C4C22×D4116yes—
1581C4⋊C4C22×D414yes—
1582C4⋊C4C22×D414yes—
1583C4⋊C42−1+414yescomplemented
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4C22×D4116yes—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D4116yes—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—24no—
1645C42—24no—
1646C42—28no—
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—24no—
1651C42—24no—
1652C42—24no—
1653C42—22no—
1654C42—22no—
1655C42—24no—
1656C42—24no—
1657C42—28no—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—42no—
1666C42—42no—
1667C42—44no—
1668C42—44no—
1669C42—44no—
1670C42—42no—
1671C42C22×D418yes—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
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—
1702C23C23×D414yes—
1703C23C23×D412yes—
1704C23C22×#4114yes—
1705C23C22×#4112yes—
1706C23C2×H(5,𝔽2)12yes—
1707C23C2611yescharacteristic
1708Q8—216no—
1709Q8—216no—
1710Q8—28no—
1711Q8—28no—
1712Q8—416no—
1713Q8—416no—
1714Q8—48no—
1715Q8—48no—
1716Q8—44no—
1717Q8—44no—
1718Q8—88no—
1719D4—216no—
1720D4—216no—
1721D4—28no—
1722D4—28no—
1723D4—48no—
1724D4—48no—
1725D4—48no—
1726D4—416no—
1727D4—416no—
1728D4—48no—
1729D4—48no—
1730D4—44no—
1731D4—44no—
1732D4—88no—
1733D4—84no—
1734D4—164no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—216no—
1754C2×C4—216no—
1755C2×C4—216no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—416no—
1817C2×C4—44no—
1818C2×C4—48no—
1819C2×C4—44no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—416no—
1823C2×C4—416no—
1824C2×C4—416no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—48no—
1828C2×C4—84no—
1829C2×C4—82no—
1830C2×C4—84no—
1831C2×C4—84no—
1832C2×C4—82no—
1833C2×C4—84no—
1834C2×C4—164no—
1835C2×C4#546116yes—
1836C2×C4C23×D414yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D414yes—
1839C2×C4C23×D418yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D412yes—
1842C2×C4C22×#4114yes—
1843C2×C4C22×#4112yes—
1844C2×C4C22×#4112yes—
1845C2×C4C2×H(5,𝔽2)12yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4C2×2−1+412yes—
1848C2×C4C2×2−1+412yes—
1849C2×C4C2×2−1+412yes—
1850C2×C4#58512yes—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—24no—
1858C22—24no—
1859C22—24no—
1860C22—24no—
1861C22—24no—
1862C22—24no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
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—
1885C22C2×#54614yes—
1886C22C24×D411yescharacteristic
1887C22C23×#4111yescharacteristic
1888C22C22×H(5,𝔽2)11yescharacteristic
1889C22C22×2−1+411yescharacteristic
1890C22C2×#58511yescharacteristic
1891C222−1+611yescharacteristic
1892C222−1+611yescharacteristic
1893C4—22no—
1894C4—22no—
1895C4—24no—
1896C4—22no—
1897C4—24no—
1898C4—22no—
1899C4—24no—
1900C4—24no—
1901C4—28no—
1902C4—41no—
1903C4—41no—
1904C4—42no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—44no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—42no—
1914C4—44no—
1915C4—42no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—44no—
1920C4—42no—
1921C4C2×#54614yes—
1922C4C2×#54614yes—
1923C2—24no—
1924C2—44no—
1925C2—44no—
1926C2—82no—
1927C2—82no—
1928C2C22×#54611yescharacteristic
1929C2#6280511yescharacteristic
1930C2#6286111yescharacteristic
1931C2#6293111yescharacteristic
1932C2#6294611yescharacteristic
1933C2D4×2−1+411yescharacteristic
1934C2#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×#3461C2semidirect
3. #59102C2semidirect
4. #59098C2semidirect
5. #59096C2semidirect
6. #59092C2semidirect
7. #59088C2semidirect
8. #59075C2semidirect
9. #45322C2semidirect
10. #45289C2semidirect
11. #45175C2semidirect
12. #44987C2semidirect
13. #44513C2semidirect
14. #43974C2semidirect
15. #39418C2semidirect
16. #39417C2semidirect
17. #37750C2semidirect
18. #37749C2semidirect
19. #37699C2semidirect
20. #37695C2semidirect
21. #36141C2semidirect
22. #36129C2semidirect
23. #35667C2semidirect
24. #35660C2semidirect
25. #35660C2semidirect
26. #35564C2semidirect
27. #35312C2semidirect
28. #35308C2semidirect
29. #35257C2semidirect
30. #34744C2semidirect
31. C2×#2446C2semidirect
32. #34276C2semidirect
33. #34259C2semidirect
34. #34257C2semidirect
35. #34141C2semidirect
342. #536D4semidirect
1583. 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×#34612
#591022
#590982
#590962
#590922
#590882
#590752
#453222
#452892
#451752
#449872
#445132
#439742
#394182
#394172
#377502
#377492
#376992
#376952
#361412
#361292
#356672
#356602
#355642
#353122
#353082
#352572
#347442
C2×#24462
#342762
#342592
#342572
#341412