Finite Group Databasebeta

← #7679711

Subgroups — #7679711

Order 512.

6892 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C212yesmaximal, complemented
2#59843C212yesmaximal, complemented
3#59831C212yesmaximal, complemented
4#59498C212yesmaximal, complemented
5#59498C212yesmaximal, complemented
6#59428C212yesmaximal, complemented
7#59375C212yesmaximal, complemented
8#59290C212yesmaximal, complemented
9#59258C212yesmaximal, complemented
10#44727C214yesmaximal, complemented
11#44709C214yesmaximal, complemented
12#43544C214yesmaximal, complemented
13#43536C214yesmaximal, complemented
14#39370C211yesmaximal, characteristic, complemented
15#39360C211yesmaximal, characteristic, complemented
16#39353C211yesmaximal, characteristic, complemented
17#39350C211yesmaximal, characteristic, complemented
18#37757C212yesmaximal, complemented
19#37750C212yesmaximal, complemented
20#37668C212yesmaximal, complemented
21#37663C212yesmaximal, complemented
22#36134C211yesmaximal, characteristic, complemented
23#36114C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic
25D4×C22⋊Q8C211yesmaximal, characteristic, complemented
26#35665C212yesmaximal, complemented
27#35654C212yesmaximal, complemented
28#35319C211yesmaximal, characteristic, complemented
29#35310C212yesmaximal, complemented
30#34932C211yesmaximal, characteristic, complemented
31#34929C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34308C211yesmaximal, characteristic, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36#3495—232no—
37C2×#556C2214yes—
38C2×#554C2214yescomplemented
39C2×#552C2214yes—
40C2×#552C2214yescomplemented
41C2×#552C2214yescomplemented
42C2×#552C2214yescomplemented
43C2×#551C2214yes—
44C2×#551C2214yes—
45C2×D4×Q8C2211yescharacteristic
46C2×#547C2211yescharacteristic
47C2×#544C2212yescomplemented
48C2×#542C2212yes—
49C2×#542C2211yescharacteristic
50C2×#541C2212yes—
51C2×#541C2212yes—
52C2×#536C2212yescomplemented
53C2×#533C2212yescomplemented
54C2×#533C2212yescomplemented
55C2×#529C2212yescomplemented
56C2×#529C2212yescomplemented
57C2×#525C2212yes—
58C22×C22⋊Q8C2212yes—
59C2×#520C2212yescomplemented
60C2×#519C2212yescomplemented
61C22×C4×D4C2211yescharacteristic
62C22×#117C2212yes—
63#2868C2211yescharacteristic, complemented
64#2859C2211yescharacteristic, complemented
65#2857C2211yescharacteristic
66#2857C2211yescharacteristic
67#2857C2212yescomplemented
68#2851C2212yescomplemented
69#2848C2212yes—
70#2848C2212yes—
71#2729C2214yescomplemented
72#2729C2214yescomplemented
73#2728C2214yes—
74#2722C2214yes—
75#2719C2214yescomplemented
76#2719C2214yescomplemented
77#2717C2214yes—
78#2704C2214yescomplemented
79#2704C2214yescomplemented
80#2698C2214yes—
81#2698C2214yescomplemented
82#2697C2214yes—
83#2695C2214yescomplemented
84#2695C2214yescomplemented
85#2693C2214yes—
86#2690C2214yescomplemented
87#2690C2214yescomplemented
88#2689C2214yes—
89#2689C2214yescomplemented
90#2687C2214yescomplemented
91#2687C2214yescomplemented
92#2684C2214yes—
93#2680C2214yescomplemented
94#2680C2214yescomplemented
95#2642C2212yescomplemented
96#2629C2212yescomplemented
97#2625C2212yes—
98#2625C2212yes—
99#2621C2212yes—
100#2621C2212yescomplemented
101#2609C2214yes—
102#2600C2214yes—
103#2599C2214yescomplemented
104#2599C2214yescomplemented
105#2581C2214yescomplemented
106#2579C2214yescomplemented
107#2556C2214yescomplemented
108#2553C2214yescomplemented
109#2552C2212yescomplemented
110#2552C2212yescomplemented
111#2552C2211yescharacteristic, complemented
112#2551C2211yescharacteristic, complemented
113#2547C2212yes—
114#2547C2211yescharacteristic, complemented
115#2546C2212yescomplemented
116#2546C2211yescharacteristic, complemented
117#2542C2211yescharacteristic
118#2542C2211yescharacteristic
119#2538C2211yescharacteristic
120#2538C2212yes—
121#2538C2212yes—
122#2537C2211yescharacteristic
123#2506C2212yescomplemented
124#2506C2212yescomplemented
125#2506C2212yescomplemented
126#2506C2212yescomplemented
127#2506C2212yescomplemented
128#2506C2212yescomplemented
129#2506C2212yescomplemented
130#2496C2212yes—
131#2496C2212yes—
132#2496C2212yes—
133#2496C2212yes—
134#2496C2212yes—
135#2496C2212yes—
136#2496C2212yescomplemented
137#2496C2212yescomplemented
138#2496C2212yescomplemented
139#2492C2212yescomplemented
140#2489C2212yescomplemented
141#2486C2212yes—
142#2485C2214yescomplemented
143#2484C2214yescomplemented
144#2480C2214yes—
145#2480C2214yes—
146#2480C2214yes—
147#2480C2214yes—
148#2478C2214yes—
149#2478C2214yes—
150#2478C2214yescomplemented
151#2477C2214yes—
152#2477C2214yes—
153#2475C2214yescomplemented
154#2475C2214yescomplemented
155#2475C2214yescomplemented
156#2475C2214yescomplemented
157#2473C2214yescomplemented
158#2473C2214yescomplemented
159#2473C2214yescomplemented
160#2470C2214yescomplemented
161#2470C2214yescomplemented
162#2470C2214yescomplemented
163#2468C2214yescomplemented
164#2468C2214yescomplemented
165#2466C2214yescomplemented
166#2465C2214yescomplemented
167#2462C2214yescomplemented
168#2457C2214yes—
169#2457C2214yes—
170#2455C2214yes—
171#2453C2212yescomplemented
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2451C2212yescomplemented
176#2450C2214yescomplemented
177#2450C2214yescomplemented
178#2449C2214yes—
179#2447C2214yes—
180#2447C2212yescomplemented
181#2446C2214yescomplemented
182#2446C2212yescomplemented
183#2442C2212yescomplemented
184#2442C2214yescomplemented
185#2441C2214yescomplemented
186#2440C2212yes—
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2440C2212yescomplemented
190#2439C2212yescomplemented
191#2438C2214yescomplemented
192#2437C2214yes—
193#2434C2212yescomplemented
194#2432C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2427C2212yescomplemented
199#2423C2214yescomplemented
200#2422C2212yes—
201#2422C2212yes—
202#2422C2212yes—
203#2422C2212yes—
204#2422C2212yes—
205#2421C2212yescomplemented
206#2421C2214yescomplemented
207#2420C2212yescomplemented
208#2419C2214yes—
209#2418C2214yes—
210#2417C2212yes—
211#2415C2212yes—
212#2409C2212yes—
213#2408C2212yes—
214#2407C2212yes—
215#2396C2214yescomplemented
216#2395C2214yescomplemented
217#2365C2211yescharacteristic, complemented
218#2365C2211yescharacteristic, complemented
219#2365C2212yescomplemented
220#2362C2214yescomplemented
221#2362C2212yescomplemented
222#2361C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2360C2212yescomplemented
226#2359C2214yescomplemented
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2212yes—
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2352C2212yes—
233#2352C2212yes—
234Q8×C4⋊C4C2211yescharacteristic, complemented
235Q8×C4⋊C4C2212yescomplemented
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic, complemented
242#2344C2211yescharacteristic
243#2344C2211yescharacteristic
244#2344C2212yescomplemented
245#2344C2212yescomplemented
246#2342C2212yes—
247#2342C2212yes—
248Q8×C22⋊C4C2212yescomplemented
249#2339C2212yescomplemented
250D4×C22⋊C4C2211yescharacteristic
251D4×C22⋊C4C2211yescharacteristic
252D4×C22⋊C4C2212yes—
253#2337C2212yes—
254#2335C2212yes—
255#2334C2212yescomplemented
256#2332C2212yescomplemented
257#2331C2211yescharacteristic, complemented
258#2327C2212yescomplemented
259#2326C2211yescharacteristic, complemented
260#2324C2211yescharacteristic
261#2323C2211yescharacteristic
262#2323C2212yescomplemented
263#2323C2212yescomplemented
264#2323C2214yescomplemented
265#2322C2214yescomplemented
266#2320C2211yescharacteristic, complemented
267#2319C2211yescharacteristic, complemented
268#2314C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2212yescomplemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#126C2212yescomplemented
275C4×#124C2212yes—
276C4×#124C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289C2×#389C2212yescomplemented
290#2290C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2212yescomplemented
294#2280C2212yes—
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#556—232no—
305#554—232no—
306#552—232no—
307#552—232no—
308#552—232no—
309#552—232no—
310#551—232no—
311#551—232no—
312D4×Q8—28no—
313#547—28no—
314#544—216no—
315#542—216no—
316#542D4116yescomplemented
317#541—216no—
318#541—216no—
319#536—216no—
320#533—216no—
321#533—216no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2314yes—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2311yescharacteristic
332#529—216no—
333#529—216no—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2312yes—
342C2×#125C2312yes—
343C2×#125C2312yes—
344C2×#125C2314yes—
345C2×#125C2314yes—
346C2×#125C2314yes—
347C2×#125C2314yes—
348C2×#125C2314yes—
349C2×#125C2314yes—
350C2×#125C2314yes—
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2312yes—
354C2×#124C2311yescharacteristic
355#525—216no—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2312yes—
364C2×C22⋊Q8—216no—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#120C2314yes—
391#520—216no—
392#519—216no—
393C2×C4×Q8C2314yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2314yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2314yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2314yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×D4—28no—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2314yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×#117—216no—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2314yes—
436C2×#117C2314yes—
437C2×#117C2314yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2314yes—
442C2×#117C2314yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2314yes—
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C22×C4⋊C4C2314yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2314yes—
455C22×C4⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2312yes—
460C22×C42C2312yes—
461C22×C42C2311yescharacteristic
462C22×C42C2312yes—
463C22×C42C2312yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2314yes—
475#400C2314yes—
476#399C2314yes—
477#399C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#392C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#383C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#381C2312yes—
738#381C2314yes—
739#381C2312yes—
740#381C2312yes—
741#381C2314yes—
742#381C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#379C2314yes—
772#379C2314yes—
773#379C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831#376C2311yescharacteristic
832#376C2311yescharacteristic
833C2×#95C2314yes—
834C43C2312yes—
835C43C2311yescharacteristic
836C43C2311yescharacteristic
837C25C2412yes—
838C2×#41—28no—
839C2×#41—28no—
840C2×#41—44no—
841C22×Q8—28no—
842C22×Q8—28no—
843C22×Q8—44no—
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×Q8C2414yes—
847C22×Q8C2411yescharacteristic
848C22×Q8C2414yes—
849C22×Q8C2412yes—
850C22×D4—24no—
851C22×D4—24no—
852C22×D4—42no—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C23×C4—28no—
861C23×C4—28no—
862C23×C4—44no—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C4⋊Q8—28no—
883C4⋊Q8—216no—
884C4⋊Q8—28no—
885C4⋊Q8—28no—
886C4⋊Q8—28no—
887C4⋊Q8—24no—
888C4⋊Q8—24no—
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891C4⋊Q8C2×D418yescomplemented
892#126—216no—
893#126—216no—
894#126—216no—
895#126—216no—
896#126—216no—
897#126—216no—
898#126—216no—
899#126C2×D4116yescomplemented
900#125—28no—
901#125—216no—
902#125—216no—
903#125—216no—
904#125—216no—
905#125—216no—
906#125—216no—
907#125—216no—
908#125—28no—
909#124—28no—
910#124—216no—
911#124C2×D4116yes—
912#124C2×D418yescomplemented
913#123—216no—
914#123—216no—
915#123—216no—
916#123—216no—
917#123—216no—
918#123—216no—
919#123—216no—
920#123C2×D4116yes—
921C22⋊Q8—28no—
922C22⋊Q8—216no—
923C22⋊Q8—216no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—216no—
930C22⋊Q8—28no—
931C22⋊Q8—216no—
932C22⋊Q8—216no—
933C22⋊Q8—216no—
934C22⋊Q8—216no—
935C22⋊Q8—216no—
936C22⋊Q8—216no—
937C22⋊Q8—216no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8C2×D418yes—
941C22⋊Q8C2×D4116yescomplemented
942#121—28no—
943#121—28no—
944#121—28no—
945#121C2×D418yes—
946#120—216no—
947C4×Q8—28no—
948C4×Q8—216no—
949C4×Q8—28no—
950C4×Q8—216no—
951C4×Q8—28no—
952C4×Q8—28no—
953C4×Q8—216no—
954C4×Q8—28no—
955C4×Q8—216no—
956C4×Q8—24no—
957C4×Q8—44no—
958C4×Q8—42no—
959C4×Q8C2×D418yescomplemented
960C4×D4—28no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—216no—
967C4×D4—216no—
968C4×D4—28no—
969C4×D4—24no—
970C4×D4—216no—
971C4×D4—216no—
972C4×D4—216no—
973C4×D4—28no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—42no—
977C4×D4—44no—
978C4×D4—42no—
979C4×D4—42no—
980C4×D4—44no—
981C4×D4C2×D418yescomplemented
982C4×D4#4118yes—
983#117—28no—
984#117—216no—
985#117—28no—
986#117—28no—
987#117—28no—
988#117—216no—
989#117—216no—
990#117—28no—
991#117—28no—
992#117—216no—
993#117—216no—
994#117—28no—
995#117—28no—
996#117—216no—
997#117—216no—
998#117—42no—
999#117C2×D418yes—
1000C2×C4⋊C4—216no—
1001C2×C4⋊C4—28no—
1002C2×C4⋊C4—28no—
1003C2×C4⋊C4—28no—
1004C2×C4⋊C4—216no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—28no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C22⋊C4—28no—
1085C2×C22⋊C4—28no—
1086C2×C22⋊C4—216no—
1087C2×C22⋊C4—28no—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C42—28no—
1142C2×C42—28no—
1143C2×C42—24no—
1144C2×C42—44no—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246C24—24no—
1247C24—24no—
1248C24—24no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24—42no—
1253C24C2511yescharacteristic
1254C24C2512yes—
1255C24C2512yes—
1256C24C2512yes—
1257#41—432no—
1258C2×Q8—28no—
1259C2×Q8—24no—
1260C2×Q8—24no—
1261C2×Q8—28no—
1262C2×Q8—22no—
1263C2×Q8—28no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—24no—
1269C2×Q8—42no—
1270C2×Q8—44no—
1271C2×Q8—42no—
1272C2×Q8—44no—
1273C2×Q8—44no—
1274C2×Q8—432no—
1275C2×Q8C22×D414yes—
1276C2×Q8C22×D418yes—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—416no—
1295C2×D4C22×D414yes—
1296C2×D4C22×D418yes—
1297C2×D4C2×#4114yes—
1298C2×D42−1+414yes—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—28no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—22no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—432no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4C22×D414yes—
1355C22×C4C22×D418yes—
1356C22×C4C2×#4118yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2514yes—
1373C22×C4C2512yes—
1374C22×C4C2514yes—
1375C22×C4C2514yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—28no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—28no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—28no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4C22×D414yes—
1457C4⋊C4C22×D414yes—
1458C4⋊C4C22×D414yes—
1459C4⋊C4C22×D418yes—
1460C4⋊C4C22×D414yes—
1461C4⋊C4C22×D418yes—
1462C4⋊C4C22×D418yes—
1463C4⋊C4C2×#4114yes—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4C22×D414yes—
1510C22⋊C4C22×D414yes—
1511C22⋊C4C22×D418yes—
1512C22⋊C4C22×D418yes—
1513C22⋊C4C22×D418yes—
1514C22⋊C4C22×D418yes—
1515C22⋊C4C22×D418yes—
1516C22⋊C4C2×#4118yes—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—28no—
1524C42—28no—
1525C42—28no—
1526C42—28no—
1527C42—28no—
1528C42—28no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—24no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—24no—
1541C42—42no—
1542C42—42no—
1543C42—41no—
1544C42—42no—
1545C42—41no—
1546C42—41no—
1547C42—41no—
1548C42—42no—
1549C42—42no—
1550C42C22×D414yes—
1551C42C22×D414yes—
1552C42C22×D418yes—
1553C42C2×#4114yes—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—21no—
1559C23—22no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—21no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—48no—
1579C23—48no—
1580C23—48no—
1581C23—84no—
1582C23—84no—
1583C23—84no—
1584C23—84no—
1585C23C23×D412yes—
1586C23C23×D414yes—
1587C23C22×#4114yes—
1588C23C2×2−1+414yes—
1589C23C2611yescharacteristic
1590Q8—28no—
1591Q8—48no—
1592Q8—416no—
1593Q8—48no—
1594Q8—48no—
1595Q8—88no—
1596D4—28no—
1597D4—28no—
1598D4—28no—
1599D4—48no—
1600D4—416no—
1601D4—48no—
1602D4—416no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—28no—
1624C2×C4—216no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—416no—
1689C2×C4—416no—
1690C2×C4—48no—
1691C2×C4—48no—
1692C2×C4—44no—
1693C2×C4—84no—
1694C2×C4—88no—
1695C2×C4—84no—
1696C2×C4—82no—
1697C2×C4—88no—
1698C2×C4—84no—
1699C2×C4C23×D412yes—
1700C2×C4C23×D412yes—
1701C2×C4C23×D414yes—
1702C2×C4C23×D412yes—
1703C2×C4C23×D412yes—
1704C2×C4C23×D414yes—
1705C2×C4C23×D414yes—
1706C2×C4C23×D412yes—
1707C2×C4C23×D412yes—
1708C2×C4C22×#4112yes—
1709C2×C4C22×#4114yes—
1710C2×C4C22×#4112yes—
1711C2×C4C22×#4112yes—
1712C2×C4C2×2−1+412yes—
1713C2×C4#58512yes—
1714C2×C4#58512yes—
1715C22—24no—
1716C22—22no—
1717C22—24no—
1718C22—24no—
1719C22—22no—
1720C22—24no—
1721C22—24no—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—22no—
1726C22—24no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—816no—
1744C22C24×D411yescharacteristic
1745C22C23×#4111yescharacteristic
1746C22C22×2−1+411yescharacteristic
1747C22C2×#58511yescharacteristic
1748C22C2×#58511yescharacteristic
1749C222−1+611yescharacteristic
1750C222−1+611yescharacteristic
1751C4—22no—
1752C4—24no—
1753C4—22no—
1754C4—24no—
1755C4—22no—
1756C4—22no—
1757C4—22no—
1758C4—22no—
1759C4—24no—
1760C4—24no—
1761C4—42no—
1762C4—44no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4—41no—
1769C4—42no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—42no—
1778C4—44no—
1779C4—44no—
1780C4D4×#4114yes—
1781C4#349514yescomplemented
1782C2—44no—
1783C2—44no—
1784C2—44no—
1785C2—42no—
1786C2C2×D4×#4111yescharacteristic
1787C2C2×#349511yescharacteristic
1788C2#6286111yescharacteristic
1789C2#6293611yescharacteristic
1790C2#6295011yescharacteristic
1791C2#6298811yescharacteristic
1792C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36100C2
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×#3495C2semidirect
2. #59843C2semidirect
3. #59831C2semidirect
4. #59498C2semidirect
5. #59498C2semidirect
6. #59428C2semidirect
7. #59375C2semidirect
8. #59290C2semidirect
9. #59258C2semidirect
10. #44727C2semidirect
11. #44709C2semidirect
12. #43544C2semidirect
13. #43536C2semidirect
14. #39370C2semidirect
15. #39360C2semidirect
16. #39353C2semidirect
17. #39350C2semidirect
18. #37757C2semidirect
19. #37750C2semidirect
20. #37668C2semidirect
21. #37663C2semidirect
22. #36134C2semidirect
23. #36114C2semidirect
25. D4×C22⋊Q8C2semidirect
26. #35665C2semidirect
27. #35654C2semidirect
28. #35319C2semidirect
29. #35310C2semidirect
30. #34932C2semidirect
31. #34929C2semidirect
32. #34311C2semidirect
33. #34308C2semidirect
34. D4×#117C2semidirect
35. C4×#542C2semidirect
38. C2×#554C22semidirect
40. C2×#552C22semidirect
41. C2×#552C22semidirect
42. C2×#552C22semidirect
47. C2×#544C22semidirect
52. C2×#536C22semidirect
53. C2×#533C22semidirect
54. C2×#533C22semidirect
55. C2×#529C22semidirect
56. C2×#529C22semidirect
59. C2×#520C22semidirect
60. C2×#519C22semidirect
63. #2868C22semidirect
64. #2859C22semidirect
67. #2857C22semidirect
68. #2851C22semidirect
71. #2729C22semidirect
72. #2729C22semidirect
75. #2719C22semidirect
76. #2719C22semidirect
78. #2704C22semidirect
79. #2704C22semidirect
81. #2698C22semidirect
83. #2695C22semidirect
84. #2695C22semidirect
86. #2690C22semidirect
87. #2690C22semidirect
89. #2689C22semidirect
90. #2687C22semidirect
91. #2687C22semidirect
93. #2680C22semidirect
94. #2680C22semidirect
95. #2642C22semidirect
96. #2629C22semidirect
100. #2621C22semidirect
103. #2599C22semidirect
104. #2599C22semidirect
105. #2581C22semidirect
106. #2579C22semidirect
107. #2556C22semidirect
108. #2553C22semidirect
109. #2552C22semidirect
110. #2552C22semidirect
111. #2552C22semidirect
112. #2551C22semidirect
114. #2547C22semidirect
115. #2546C22semidirect
116. #2546C22semidirect
123. #2506C22semidirect
124. #2506C22semidirect
125. #2506C22semidirect
126. #2506C22semidirect
127. #2506C22semidirect
128. #2506C22semidirect
129. #2506C22semidirect
136. #2496C22semidirect
137. #2496C22semidirect
138. #2496C22semidirect
139. #2492C22semidirect
140. #2489C22semidirect
142. #2485C22semidirect
143. #2484C22semidirect
150. #2478C22semidirect
153. #2475C22semidirect
154. #2475C22semidirect
155. #2475C22semidirect
156. #2475C22semidirect
157. #2473C22semidirect
158. #2473C22semidirect
159. #2473C22semidirect
160. #2470C22semidirect
161. #2470C22semidirect
162. #2470C22semidirect
163. #2468C22semidirect
164. #2468C22semidirect
165. #2466C22semidirect
166. #2465C22semidirect
167. #2462C22semidirect
171. #2453C22semidirect
175. #2451C22semidirect
176. #2450C22semidirect
177. #2450C22semidirect
180. #2447C22semidirect
181. #2446C22semidirect
182. #2446C22semidirect
183. #2442C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
189. #2440C22semidirect
190. #2439C22semidirect
191. #2438C22semidirect
193. #2434C22semidirect
194. #2432C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2427C22semidirect
199. #2423C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2420C22semidirect
215. #2396C22semidirect
216. #2395C22semidirect
217. #2365C22semidirect
218. #2365C22semidirect
219. #2365C22semidirect
220. #2362C22semidirect
221. #2362C22semidirect
225. #2360C22semidirect
226. #2359C22semidirect
234. Q8×C4⋊C4C22semidirect
235. Q8×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
244. #2344C22semidirect
245. #2344C22semidirect
248. Q8×C22⋊C4C22semidirect
249. #2339C22semidirect
255. #2334C22semidirect
256. #2332C22semidirect
257. #2331C22semidirect
258. #2327C22semidirect
259. #2326C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
265. #2322C22semidirect
266. #2320C22semidirect
267. #2319C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×#126C22semidirect
276. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
289. C2×#389C22semidirect
293. #2285C22semidirect
295. C42×Q8C22semidirect
298. C42×D4C22semidirect
316. #542D4semidirect
891. C4⋊Q8C2×D4semidirect
899. #126C2×D4semidirect
912. #124C2×D4semidirect
941. C22⋊Q8C2×D4semidirect
959. C4×Q8C2×D4semidirect
981. C4×D4C2×D4semidirect
1781. C4#3495semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
#598432
#598312
#594982
#594282
#593752
#592902
#592582
#447272
#447092
#435442
#435362
#393702
#393602
#393532
#393502
#377572
#377502
#376682
#376632
#361342
#361142
#361002
D4×C22⋊Q82
#356652
#356542
#353192
#353102
#349322
#349292
#343112
#343082
D4×#1172
C4×#5422