Finite Group Databasebeta

← #7631861

Subgroups — #7631861

Order 512.

7830 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C2×C4×2−1+4C211yesmaximal, characteristic, complemented
3#36547C212yesmaximal, complemented
4#36545C212yesmaximal, complemented
5#36443C212yesmaximal, complemented
6#36437C212yesmaximal, complemented
7#36423C212yesmaximal, complemented
8#36405C212yesmaximal, complemented
9#36233C212yesmaximal, complemented
10#36230C212yesmaximal, complemented
11#36007C212yesmaximal, complemented
12#35997C212yesmaximal, complemented
13#35846C212yesmaximal, complemented
14#35817C212yesmaximal, complemented
15#35802C212yesmaximal, complemented
16#35778C212yesmaximal, complemented
17#35749C212yesmaximal, complemented
18#35724C212yesmaximal, complemented
19#35667C211yesmaximal, characteristic, complemented
20#35666C211yesmaximal, characteristic, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic
23#35450C214yesmaximal, complemented
24#35363C214yesmaximal, complemented
25#35308C211yesmaximal, characteristic, complemented
26#35307C211yesmaximal, characteristic, complemented
27#35096C214yesmaximal, complemented
28#34745C211yesmaximal, characteristic, complemented
29#34744C211yesmaximal, characteristic, complemented
30#34735C214yesmaximal, complemented
31#34274C211yesmaximal, characteristic, complemented
32#34266C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34252C211yesmaximal, characteristic, complemented
35C2×#2365C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37#3507—216no—
38C2×#559C2212yes—
39C2×#557C2212yes—
40C2×#556C2212yes—
41C2×#556C2212yes—
42C2×#556C2212yes—
43C2×#554C2212yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#539C2214yes—
47C2×#537C2211yescharacteristic
48C2×#536C2211yescharacteristic
49C2×#536C2211yescharacteristic
50C2×#536C2211yescharacteristic
51C2×#536C2211yescharacteristic
52C2×#533C2211yescharacteristic
53C2×#532C2211yescharacteristic
54C22×C4⋊Q8C2211yescharacteristic
55C2×#529C2214yes—
56C4×2−1+4—216no—
57C2×#520C2212yes—
58C2×#520C2214yes—
59C2×#520C2211yescharacteristic
60C2×#520C2212yes—
61C2×#520C2211yescharacteristic
62C2×#520C2211yescharacteristic
63C2×#519C2211yescharacteristic
64C2×#519C2212yes—
65C2×#519C2212yes—
66C2×C4×#41C2214yes—
67C2×C4×#41C2212yes—
68C2×C4×#41C2212yes—
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C22×C4×Q8C2211yescharacteristic
72C22×C4×Q8C2212yes—
73C22×C4×Q8C2211yescharacteristic
74C22×C4×Q8C2212yes—
75#2857C2212yes—
76#2855C2214yes—
77#2855C2212yes—
78#2855C2212yes—
79#2853C2214yes—
80#2852C2214yes—
81#2851C2214yes—
82#2850C2212yes—
83#2638C2214yes—
84#2637C2214yes—
85#2634C2214yes—
86#2630C2214yes—
87#2625C2212yes—
88#2625C2212yes—
89#2621C2212yes—
90#2620C2212yes—
91#2611C2214yes—
92#2609C2214yes—
93#2604C2214yes—
94#2602C2214yes—
95#2601C2214yes—
96#2600C2214yes—
97#2599C2214yes—
98#2599C2214yes—
99#2584C2214yes—
100#2583C2214yes—
101#2582C2212yes—
102#2582C2212yes—
103#2581C2212yes—
104#2581C2212yes—
105#2581C2214yes—
106#2579C2214yes—
107#2546C2212yes—
108#2546C2212yes—
109#2545C2212yes—
110#2545C2212yes—
111#2485C2214yes—
112#2484C2214yes—
113#2481C2214yes—
114#2479C2214yes—
115#2478C2214yes—
116#2478C2214yes—
117#2478C2214yes—
118#2478C2214yes—
119#2477C2214yes—
120#2475C2214yes—
121#2475C2214yes—
122#2474C2214yes—
123#2474C2214yes—
124#2473C2214yes—
125#2473C2214yes—
126#2470C2214yes—
127#2470C2214yes—
128#2469C2214yes—
129#2469C2214yes—
130#2468C2214yes—
131#2468C2214yes—
132#2466C2214yes—
133#2466C2214yes—
134#2465C2214yes—
135#2465C2214yes—
136#2462C2214yes—
137#2462C2214yes—
138#2462C2214yes—
139#2462C2214yes—
140#2461C2214yes—
141#2459C2214yes—
142#2457C2214yes—
143#2455C2214yes—
144#2454C2211yescharacteristic
145#2454C2211yescharacteristic
146#2453C2211yescharacteristic
147#2453C2212yes—
148#2453C2212yes—
149#2453C2211yescharacteristic
150#2452C2211yescharacteristic
151#2452C2211yescharacteristic
152#2451C2212yes—
153#2451C2212yes—
154#2451C2211yescharacteristic
155#2451C2211yescharacteristic
156#2450C2212yes—
157#2450C2212yes—
158#2449C2212yes—
159#2449C2214yes—
160#2449C2212yes—
161#2448C2211yescharacteristic
162#2448C2211yescharacteristic
163#2447C2211yescharacteristic
164#2447C2212yes—
165#2447C2211yescharacteristic
166#2447C2212yes—
167#2446C2212yes—
168#2446C2211yescharacteristic
169#2446C2212yes—
170#2446C2211yescharacteristic
171#2445C2211yescharacteristic
172#2445C2211yescharacteristic
173#2444C2212yes—
174#2444C2212yes—
175#2443C2212yes—
176#2443C2212yes—
177#2438C2214yes—
178#2438C2214yes—
179#2436C2212yes—
180#2434C2212yes—
181#2434C2212yes—
182#2434C2212yes—
183#2434C2212yes—
184#2434C2212yes—
185#2432C2212yes—
186#2432C2212yes—
187#2432C2212yes—
188#2432C2212yes—
189#2432C2212yes—
190#2431C2212yes—
191#2430C2214yes—
192#2430C2214yes—
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2427C2212yes—
200#2427C2212yes—
201#2425C2214yes—
202#2425C2214yes—
203#2419C2214yes—
204#2419C2214yes—
205#2415C2214yes—
206#2413C2214yes—
207#2413C2214yes—
208#2413C2214yes—
209#2409C2212yes—
210#2409C2212yes—
211#2407C2212yes—
212#2407C2212yes—
213#2406C2214yes—
214#2406C2214yes—
215#2399C2214yes—
216#2396C2212yes—
217#2396C2214yes—
218#2396C2212yes—
219#2395C2214yes—
220#2395C2212yes—
221#2395C2212yes—
222#2392C2214yes—
223#2367C2212yes—
224#2367C2212yes—
225#2367C2212yes—
226#2367C2212yes—
227#2365C2212yes—
228#2365C2212yes—
229#2365C2212yes—
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2365C2212yes—
234#2365C2212yes—
235#2365C2212yes—
236#2365C2212yes—
237#2365C2212yes—
238#2365C2212yes—
239#2363C2212yes—
240#2363C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2362C2212yes—
245#2362C2212yes—
246#2362C2212yes—
247#2361C2212yes—
248#2361C2212yes—
249#2360C2212yes—
250#2360C2212yes—
251#2360C2212yes—
252#2360C2212yes—
253#2360C2212yes—
254#2360C2212yes—
255#2357C2212yes—
256#2356C2212yes—
257#2355C2212yes—
258#2354C2212yes—
259#2347C2212yes—
260#2346C2212yes—
261#2345C2212yes—
262#2344C2212yes—
263#2325C2214yes—
264#2322C2214yes—
265#2322C2214yes—
266#2318C2214yes—
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2310C2211yescharacteristic
271#2310C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2214yes—
275C4×#123C2214yes—
276C4×#123C2212yes—
277C4×#123C2214yes—
278C4×#123C2212yes—
279C4×#123C2214yes—
280C4×#121C2214yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2214yes—
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#391C2211yescharacteristic
292C2×#389C2212yes—
293#2290C2214yes—
294#2290C2214yes—
295C2×#387C2212yes—
296C2×#387C2212yes—
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C2×C4×C4⋊C4C2211yescharacteristic
300C2×C4×C4⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—28no—
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×Q8C2312yes—
312C23×Q8C2312yes—
313C23×Q8C2311yescharacteristic
314#559—216no—
315#557—216no—
316#556—216no—
317#556—216no—
318#556—216no—
319#554—216no—
320#552—216no—
321#552—216no—
322#539—232no—
323#537—28no—
324#536—28no—
325#536—28no—
326#536—28no—
327#536—28no—
328#533—28no—
329#532—28no—
330C2×C4⋊Q8—28no—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×#127C2311yescharacteristic
343#529—232no—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#125C2314yes—
349C2×#125C2314yes—
350C2×#125C2311yescharacteristic
351C2×#125C2311yescharacteristic
352C2×#125C2314yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#124C2311yescharacteristic
358C2×#124C2311yescharacteristic
359C2×#124C2312yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389#520—232no—
390#520—216no—
391#520—28no—
392#520—216no—
393#520—28no—
394#520D4116yescomplemented
395#519—216no—
396#519—28no—
397#519—216no—
398C4×#41—28no—
399C4×#41—232no—
400C4×#41—216no—
401C4×#41—28no—
402C4×#41—216no—
403C2×C4×Q8—216no—
404C2×C4×Q8—28no—
405C2×C4×Q8—216no—
406C2×C4×Q8—28no—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2314yes—
412C2×C4×Q8C2314yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2314yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2314yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2314yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×#117C2311yescharacteristic
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2314yes—
460C2×#117C2314yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2314yes—
466C2×#117C2314yes—
467C2×#117C2314yes—
468C2×#117C2314yes—
469C2×#117C2314yes—
470C2×#117C2314yes—
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2314yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C42C2312yes—
487C22×C42C2314yes—
488C22×C42C2314yes—
489C22×C42C2312yes—
490C22×C42C2312yes—
491C22×C42C2311yescharacteristic
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2312yes—
496#400C2312yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#398C2312yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2312yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2312yes—
522#398C2314yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#396C2314yes—
539#396C2314yes—
540#396C2312yes—
541#396C2314yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2312yes—
547#396C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2312yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#393C2312yes—
571#393C2314yes—
572#393C2314yes—
573#393C2312yes—
574#392C2314yes—
575#392C2314yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2314yes—
655#389C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2314yes—
714#387C2312yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2312yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#384C2312yes—
775#383C2314yes—
776#382C2312yes—
777#382C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2312yes—
783#381C2314yes—
784#381C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843#376C2314yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2311yescharacteristic
850C2×#95C2311yescharacteristic
8512−1+4—2128no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—216no—
855C2×#41—28no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—24no—
868C2×#41C2×D418yes—
869C2×#41#4118yes—
870C22×Q8—28no—
871C22×Q8—28no—
872C22×Q8—28no—
873C22×Q8—28no—
874C22×Q8—28no—
875C22×Q8—24no—
876C22×Q8—24no—
877C22×Q8—28no—
878C22×Q8—24no—
879C22×Q8—24no—
880C22×Q8—24no—
881C22×Q8#4118yes—
882C22×Q8C2414yes—
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2411yescharacteristic
886C22×Q8C2412yes—
887C22×Q8C2411yescharacteristic
888C22×Q8C2411yescharacteristic
889C22×Q8C2412yes—
890C22×Q8C2412yes—
891C22×Q8C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2414yes—
901C22×D4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C4⋊Q8—24no—
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—28no—
936#127—24no—
937#126—216no—
938#126—216no—
939#126—216no—
940#126—216no—
941#125—216no—
942#125—24no—
943#125—24no—
944#125—216no—
945#125—216no—
946#124—24no—
947#124—28no—
948#124—24no—
949#124—28no—
950#124—28no—
951#124—216no—
952#124—28no—
953#123—216no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—28no—
958#123—216no—
959#123—216no—
960#123—44no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—44no—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—216no—
981#121—28no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—216no—
987C4×Q8—24no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—216no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—24no—
999C4×Q8—28no—
1000C4×Q8—216no—
1001C4×Q8—28no—
1002C4×Q8—216no—
1003C4×Q8—28no—
1004C4×Q8—216no—
1005C4×Q8—28no—
1006C4×Q8—28no—
1007C4×Q8C2×D4116yes—
1008C4×D4—28no—
1009C4×D4—24no—
1010C4×D4—28no—
1011C4×D4—24no—
1012C4×D4—216no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—216no—
1016C4×D4—216no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—48no—
1028C4×D4C2×D4132yes—
1029C4×D4C2×D4116yes—
1030#117—28no—
1031#117—24no—
1032#117—24no—
1033#117—216no—
1034#117—24no—
1035#117—24no—
1036#117—28no—
1037#117—216no—
1038#117—28no—
1039#117—216no—
1040#117—216no—
1041#117—216no—
1042#117—216no—
1043#117—28no—
1044#117—216no—
1045#117—48no—
1046#117C2×D418yes—
1047#117C2×D4116yes—
1048C2×C4⋊C4—28no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—28no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—216no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—42no—
1059C2×C4⋊C4C2×D418yes—
1060C2×C4⋊C4C2×D4116yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C42—28no—
1182C2×C42—216no—
1183C2×C42—28no—
1184C2×C42—24no—
1185C2×C42—28no—
1186C2×C42—24no—
1187C2×C42—24no—
1188C2×C42—216no—
1189C2×C42—28no—
1190C2×C42—44no—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2414yes—
1228#95C2414yes—
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2414yes—
1232#95C2411yescharacteristic
1233#95C2414yes—
1234#95C2414yes—
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291C24C2512yes—
1292C24C2512yes—
1293C24C2512yes—
1294C24C2511yescharacteristic
1295#41—2128no—
1296#41—264no—
1297#41—264no—
1298#41—232no—
1299#41—232no—
1300#41—416no—
1301C2×Q8—264no—
1302C2×Q8—264no—
1303C2×Q8—232no—
1304C2×Q8—28no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—28no—
1314C2×Q8—28no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—416no—
1331C2×Q8C22×D414yes—
1332C2×Q8C2×#4114yes—
1333C2×Q8C2×#4118yes—
1334C2×Q8C2×#4118yes—
1335C2×D4—28no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—28no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4C22×D418yes—
1362C2×D4C22×D414yes—
1363C2×D4C2×#4118yes—
1364C2×D4C2×#4114yes—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—28no—
1369C22×C4—24no—
1370C22×C4—28no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—28no—
1374C22×C4—28no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—28no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—44no—
1406C22×C4—42no—
1407C22×C4—41no—
1408C22×C4—42no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—42no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—42no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4C22×D418yes—
1427C22×C4C22×D418yes—
1428C22×C4C22×D4116yes—
1429C22×C4C22×D414yes—
1430C22×C4C2×#4118yes—
1431C22×C4C2×#4118yes—
1432C22×C4C2×#4114yes—
1433C22×C4C2×#4114yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—28no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—41no—
1518C4⋊C4—41no—
1519C4⋊C4—42no—
1520C4⋊C4—44no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4C22×D418yes—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D4116yes—
1534C4⋊C4C22×D414yes—
1535C4⋊C4C22×D414yes—
1536C4⋊C42−1+414yescomplemented
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4C22×D418yes—
1584C22⋊C4C22×D4116yes—
1585C42—28no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—28no—
1591C42—28no—
1592C42—28no—
1593C42—28no—
1594C42—24no—
1595C42—24no—
1596C42—22no—
1597C42—24no—
1598C42—22no—
1599C42—28no—
1600C42—22no—
1601C42—22no—
1602C42—28no—
1603C42—22no—
1604C42—22no—
1605C42—28no—
1606C42—24no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—24no—
1612C42—24no—
1613C42—28no—
1614C42—44no—
1615C42—44no—
1616C42—44no—
1617C42C22×D4116yes—
1618C42C22×D418yes—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23C23×D414yes—
1643C23C23×D412yes—
1644C23C22×#4114yes—
1645C23C22×#4112yes—
1646C23C22×#4112yes—
1647C23C2611yescharacteristic
1648Q8—232no—
1649Q8—28no—
1650Q8—28no—
1651Q8—216no—
1652Q8—216no—
1653Q8—48no—
1654Q8—48no—
1655Q8—48no—
1656Q8—44no—
1657Q8—84no—
1658D4—232no—
1659D4—216no—
1660D4—216no—
1661D4—28no—
1662D4—28no—
1663D4—48no—
1664D4—48no—
1665D4—44no—
1666D4—84no—
1667D4—88no—
1668C2×C4—28no—
1669C2×C4—232no—
1670C2×C4—232no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—216no—
1692C2×C4—216no—
1693C2×C4—216no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—48no—
1752C2×C4—416no—
1753C2×C4—48no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—88no—
1761C2×C4—88no—
1762C2×C4—84no—
1763C2×C4—82no—
1764C2×C4—84no—
1765C2×C4—82no—
1766C2×C4—84no—
1767C2×C4#525116yes—
1768C2×C4C23×D418yes—
1769C2×C4C23×D414yes—
1770C2×C4C23×D414yes—
1771C2×C4C23×D414yes—
1772C2×C4C23×D412yes—
1773C2×C4C23×D412yes—
1774C2×C4C22×#4118yes—
1775C2×C4C22×#4114yes—
1776C2×C4C22×#4112yes—
1777C2×C4C22×#4112yes—
1778C2×C4C22×#4112yes—
1779C2×C4C22×#4112yes—
1780C2×C4C2×2−1+412yes—
1781C2×C4C2×2−1+412yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4#58512yes—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—24no—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—24no—
1795C22—24no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22C2×#52514yes—
1812C22C24×D411yescharacteristic
1813C22C23×#4111yescharacteristic
1814C22C23×#4111yescharacteristic
1815C22C22×2−1+411yescharacteristic
1816C22C2×#58511yescharacteristic
1817C222−1+611yescharacteristic
1818C222−1+611yescharacteristic
1819C4—28no—
1820C4—24no—
1821C4—22no—
1822C4—24no—
1823C4—22no—
1824C4—22no—
1825C4—22no—
1826C4—24no—
1827C4—28no—
1828C4—24no—
1829C4—42no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4—41no—
1834C4—41no—
1835C4—42no—
1836C4—44no—
1837C4—42no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—44no—
1848C4C2×#52514yes—
1849C4C2×#52514yes—
1850C2—24no—
1851C2—44no—
1852C2—44no—
1853C2—82no—
1854C2C22×#52511yescharacteristic
1855C2#6278811yescharacteristic
1856C2#6285011yescharacteristic
1857C2#6298811yescharacteristic
1858C2#6299511yescharacteristic
1859C2D4×2−1+411yescharacteristic
1860C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35660C2
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×#3507C2semidirect
2. C2×C4×2−1+4C2semidirect
3. #36547C2semidirect
4. #36545C2semidirect
5. #36443C2semidirect
6. #36437C2semidirect
7. #36423C2semidirect
8. #36405C2semidirect
9. #36233C2semidirect
10. #36230C2semidirect
11. #36007C2semidirect
12. #35997C2semidirect
13. #35846C2semidirect
14. #35817C2semidirect
15. #35802C2semidirect
16. #35778C2semidirect
17. #35749C2semidirect
18. #35724C2semidirect
19. #35667C2semidirect
20. #35666C2semidirect
21. #35662C2semidirect
23. #35450C2semidirect
24. #35363C2semidirect
25. #35308C2semidirect
26. #35307C2semidirect
27. #35096C2semidirect
28. #34745C2semidirect
29. #34744C2semidirect
30. #34735C2semidirect
31. #34274C2semidirect
32. #34266C2semidirect
33. #34266C2semidirect
34. #34252C2semidirect
35. C2×#2365C2semidirect
394. #520D4semidirect
1536. 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×#35072
C2×C4×2−1+42
#365472
#365452
#364432
#364372
#364232
#364052
#362332
#362302
#360072
#359972
#358462
#358172
#358022
#357782
#357492
#357242
#356672
#356662
#356622
#356602
#354502
#353632
#353082
#353072
#350962
#347452
#347442
#347352
#342742
#342662
#342522
C2×#23652