Finite Group Databasebeta

← #7683801

Subgroups — #7683801

Order 512.

6727 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic
2C2×#3502C211yesmaximal, characteristic, complemented
3#59656C212yesmaximal, complemented
4#59656C212yesmaximal, complemented
5#59655C212yesmaximal, complemented
6#59653C212yesmaximal, complemented
7#59132C214yesmaximal, complemented
8#59111C214yesmaximal, complemented
9#59085C212yesmaximal, complemented
10#59082C212yesmaximal, complemented
11#59081C212yesmaximal, complemented
12#59071C212yesmaximal, complemented
13#45343C212yesmaximal, complemented
14#45343C212yesmaximal, complemented
15#45338C212yesmaximal, complemented
16#45300C212yesmaximal, complemented
17#45300C212yesmaximal, complemented
18#45143C212yesmaximal, complemented
19#45102C212yesmaximal, complemented
20#44896C212yesmaximal, complemented
21#44448C214yesmaximal, complemented
22#43908C214yesmaximal, complemented
23#35667C211yesmaximal, characteristic, complemented
24#35662C211yesmaximal, characteristic, complemented
25#35661C211yesmaximal, characteristic
26#35644C211yesmaximal, characteristic, complemented
27#35628C211yesmaximal, characteristic, complemented
28#35575C211yesmaximal, characteristic, complemented
29#34813C211yesmaximal, characteristic
30#34739C211yesmaximal, characteristic, complemented
31C2×#2429C211yesmaximal, characteristic, complemented
32#34272C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34209C211yesmaximal, characteristic, complemented
35#34203C211yesmaximal, characteristic, complemented
36#3502—216no—
37#3495—216no—
38C2×Q82C2212yescomplemented
39C2×Q82C2212yescomplemented
40C2×#557C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#557C2212yescomplemented
43C2×#557C2212yescomplemented
44C2×#557C2212yescomplemented
45C2×#557C2212yescomplemented
46C2×#556C2212yes—
47C2×#554C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#552C2214yes—
51C2×#551C2214yes—
52C2×#544C2211yescharacteristic
53C2×#544C2214yes—
54C2×#544C2211yescharacteristic
55C2×#542C2212yes—
56C2×#541C2212yes—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2214yes—
62C2×#533C2212yes—
63C22×C4⋊Q8C2211yescharacteristic
64C2×#529C2212yes—
65C2×#525C2211yescharacteristic
66C22×C22⋊Q8C2211yescharacteristic
67C22×C22⋊Q8C2211yescharacteristic
68C2×#520C2211yescharacteristic
69C2×#519C2211yescharacteristic
70C2×#519C2211yescharacteristic
71C2×#519C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73C22×#117C2211yescharacteristic
74#2731C2214yes—
75#2731C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2729C2214yescomplemented
79#2729C2214yescomplemented
80#2725C2214yes—
81#2725C2214yes—
82#2725C2214yescomplemented
83#2725C2214yescomplemented
84#2719C2214yescomplemented
85#2719C2214yescomplemented
86#2719C2214yescomplemented
87#2719C2214yescomplemented
88#2719C2214yescomplemented
89#2719C2214yescomplemented
90#2716C2214yes—
91#2716C2214yes—
92#2716C2214yescomplemented
93#2716C2214yescomplemented
94#2707C2214yes—
95#2707C2214yes—
96#2674C2214yes—
97#2674C2214yes—
98#2592C2212yescomplemented
99#2592C2212yescomplemented
100#2582C2212yescomplemented
101#2582C2212yescomplemented
102#2581C2212yescomplemented
103#2581C2212yescomplemented
104#2568C2212yescomplemented
105#2568C2212yescomplemented
106#2564C2214yes—
107#2561C2214yes—
108#2558C2214yes—
109#2558C2214yes—
110#2550C2214yescomplemented
111#2550C2214yescomplemented
112#2550C2214yescomplemented
113#2546C2212yescomplemented
114#2546C2212yescomplemented
115#2545C2214yes—
116#2545C2212yescomplemented
117#2545C2212yescomplemented
118#2538C2212yes—
119#2538C2212yes—
120#2536C2212yes—
121#2536C2212yes—
122#2519C2214yes—
123#2519C2214yes—
124#2519C2214yescomplemented
125#2519C2214yescomplemented
126#2503C2214yes—
127#2492C2212yes—
128#2492C2212yes—
129#2492C2211yescharacteristic
130#2492C2212yes—
131#2492C2212yes—
132#2492C2211yescharacteristic
133#2492C2212yescomplemented
134#2492C2212yescomplemented
135#2491C2211yescharacteristic
136#2491C2211yescharacteristic
137#2490C2211yescharacteristic
138#2490C2211yescharacteristic
139#2489C2212yes—
140#2489C2212yes—
141#2489C2211yescharacteristic
142#2489C2212yes—
143#2489C2212yes—
144#2489C2211yescharacteristic
145#2489C2212yescomplemented
146#2489C2212yescomplemented
147#2488C2214yes—
148#2488C2214yes—
149#2488C2212yes—
150#2488C2212yes—
151#2475C2214yes—
152#2475C2214yes—
153#2475C2214yescomplemented
154#2475C2214yescomplemented
155#2472C2212yes—
156#2472C2212yes—
157#2469C2214yes—
158#2469C2214yes—
159#2469C2214yescomplemented
160#2469C2214yescomplemented
161#2460C2214yes—
162#2460C2214yes—
163#2458C2214yes—
164#2458C2214yes—
165#2454C2212yescomplemented
166#2453C2214yescomplemented
167#2453C2212yescomplemented
168#2453C2212yescomplemented
169#2453C2214yescomplemented
170#2453C2212yescomplemented
171#2453C2214yescomplemented
172#2452C2214yes—
173#2452C2212yescomplemented
174#2451C2212yescomplemented
175#2451C2212yescomplemented
176#2451C2212yescomplemented
177#2448C2214yes—
178#2446C2214yescomplemented
179#2446C2214yescomplemented
180#2446C2214yescomplemented
181#2442C2211yescharacteristic
182#2442C2211yescharacteristic
183#2442C2212yescomplemented
184#2441C2211yescharacteristic
185#2441C2211yescharacteristic
186#2441C2212yescomplemented
187#2440C2211yescharacteristic
188#2440C2211yescharacteristic
189#2440C2212yescomplemented
190#2439C2211yescharacteristic
191#2439C2214yes—
192#2439C2211yescharacteristic
193#2439C2212yescomplemented
194#2439C2214yescomplemented
195#2438C2214yes—
196#2438C2214yes—
197#2438C2212yes—
198#2438C2212yes—
199#2437C2212yes—
200#2437C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2214yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2212yes—
212#2429C2212yescomplemented
213#2429C2214yescomplemented
214#2429C2212yescomplemented
215#2429C2212yescomplemented
216#2429C2212yescomplemented
217#2426C2212yes—
218#2426C2212yes—
219#2421C2214yes—
220#2421C2214yescomplemented
221#2417C2214yes—
222#2413C2214yes—
223#2413C2214yes—
224#2413C2214yes—
225#2411C2214yes—
226#2398C2212yes—
227#2398C2212yes—
228#2396C2212yes—
229#2396C2212yes—
230C2×#398C2212yes—
231C2×#396C2212yes—
232#2370C2212yescomplemented
233#2370C2212yescomplemented
234#2369C2212yescomplemented
235#2368C2214yes—
236#2367C2214yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2365C2212yescomplemented
242#2365C2212yescomplemented
243#2365C2212yescomplemented
244#2365C2212yescomplemented
245#2365C2212yescomplemented
246#2362C2212yes—
247#2362C2212yes—
248#2362C2214yes—
249#2362C2212yescomplemented
250#2362C2212yescomplemented
251#2362C2214yescomplemented
252#2360C2212yes—
253#2360C2212yes—
254#2360C2214yes—
255#2360C2212yescomplemented
256#2360C2212yescomplemented
257#2351C2214yescomplemented
258#2344C2214yes—
259#2344C2214yes—
260#2344C2214yes—
261#2342C2214yes—
262#2331C2212yescomplemented
263#2330C2212yescomplemented
264#2327C2212yescomplemented
265#2327C2212yescomplemented
266#2323C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2311C2211yescharacteristic
272#2310C2211yescharacteristic
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C4⋊Q8C2212yescomplemented
276C4×C4⋊Q8C2212yescomplemented
277C4×C4⋊Q8C2212yescomplemented
278C4×#125C2212yescomplemented
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×#123C2214yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2212yes—
293C2×#388C2212yes—
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C4×#117C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C24×C4C2311yescharacteristic
305Q82—216no—
306Q82—216no—
307#557—216no—
308#557—216no—
309#557—216no—
310#557—216no—
311#557—216no—
312#557—216no—
313#556—216no—
314#554—216no—
315#552—216no—
316#552—216no—
317#552—232no—
318#551—232no—
319#544—232no—
320#544—28no—
321#544D4116yes—
322#542—216no—
323#541—216no—
324#536—28no—
325#536—28no—
326#533—216no—
327#533—232no—
328#533—28no—
329#533—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⋊Q8C2314yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351#529—216no—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378#525—28no—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×C22⋊Q8—28no—
385C2×C22⋊Q8—28no—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#120C2312yes—
414#520—28no—
415#519—28no—
416#519—28no—
417#519—28no—
418C2×C4×Q8—28no—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2314yes—
430C2×C4×Q8C2314yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×#117—28no—
452C2×#117C2311yescharacteristic
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2314yes—
459C2×#117C2312yes—
460C2×#117C2314yes—
461C2×#117C2314yes—
462C2×#117C2311yescharacteristic
463C2×#117C2311yescharacteristic
464C2×#117C2314yes—
465C2×#117C2312yes—
466C2×#117C2314yes—
467C2×#117C2311yescharacteristic
468C2×#117C2311yescharacteristic
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2312yes—
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2311yescharacteristic
485C22×C42C2312yes—
486C22×C42C2311yescharacteristic
487C22×C42C2312yes—
488C22×C42C2311yescharacteristic
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#399C2314yes—
507#399C2312yes—
508#399C2312yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2312yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2312yes—
542#396C2312yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2312yes—
559#395C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2312yes—
572#393C2312yes—
573#393C2312yes—
574#393C2312yes—
575#393C2312yes—
576#393C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#391C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2314yes—
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2314yes—
605#391C2314yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2311yescharacteristic
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2314yes—
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2314yes—
648#389C2314yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2312yes—
756#382C2312yes—
757#382C2314yes—
758#382C2314yes—
759#382C2311yescharacteristic
760#382C2311yescharacteristic
761#382C2312yes—
762#382C2314yes—
763#382C2314yes—
764#382C2312yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2312yes—
769#381C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#379C2312yes—
787#379C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841#376C2312yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2311yescharacteristic
845C2×#95C2311yescharacteristic
846C2×#95C2312yes—
847C43C2312yes—
848C25C2411yescharacteristic
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C22×Q8—24no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8#4118yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2412yes—
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2412yes—
873C23×C4—24no—
874C23×C4—24no—
875C23×C4—24no—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C4⋊Q8—216no—
895C4⋊Q8—216no—
896C4⋊Q8—216no—
897C4⋊Q8—28no—
898C4⋊Q8—28no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—216no—
903C4⋊Q8—24no—
904C4⋊Q8—24no—
905C4⋊Q8—24no—
906C4⋊Q8—24no—
907C4⋊Q8—216no—
908C4⋊Q8—216no—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8C2×D4116yes—
913C4⋊Q8C2×D4116yes—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#125—216no—
919#125—216no—
920#125—216no—
921#125—24no—
922#125—24no—
923#125—24no—
924#125—24no—
925#125—216no—
926#125—216no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—216no—
931#125—28no—
932#125—28no—
933#125C2×D4116yes—
934#125C2×D4116yes—
935#124—216no—
936#124—28no—
937#124—28no—
938#124—28no—
939#124—44no—
940#123—216no—
941#123—216no—
942#123—216no—
943#123—28no—
944#123—216no—
945C22⋊Q8—216no—
946C22⋊Q8—216no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—24no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—44no—
968C22⋊Q8—48no—
969C22⋊Q8C2×D4132yes—
970#121—24no—
971#121—24no—
972#120—28no—
973C4×Q8—216no—
974C4×Q8—216no—
975C4×Q8—28no—
976C4×Q8—28no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—216no—
987C4×Q8—216no—
988C4×Q8—216no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—48no—
1000C4×D4—216no—
1001C4×D4—28no—
1002C4×D4—216no—
1003C4×D4—28no—
1004C4×D4—28no—
1005#117—24no—
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009#117—24no—
1010#117—24no—
1011#117—24no—
1012#117—28no—
1013#117—216no—
1014#117—216no—
1015#117—28no—
1016#117—216no—
1017#117—216no—
1018#117—216no—
1019#117—28no—
1020#117C2×D418yes—
1021#117C2×D418yes—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—24no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—28no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4C2×D418yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C22⋊C4—28no—
1113C2×C22⋊C4—28no—
1114C2×C22⋊C4—28no—
1115C2×C22⋊C4—24no—
1116C2×C22⋊C4—42no—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C42—28no—
1166C2×C42—24no—
1167C2×C42—24no—
1168C2×C42—28no—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24C2511yescharacteristic
1279C24C2512yes—
1280C24C2511yescharacteristic
1281C24C2511yescharacteristic
1282#41—416no—
1283C2×Q8—232no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—28no—
1292C2×Q8—24no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—44no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8—44no—
1308C2×Q8—42no—
1309C2×Q8—44no—
1310C2×Q8—42no—
1311C2×Q8—44no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—416no—
1315C2×Q8C22×D4116yes—
1316C2×Q8C2×#4118yes—
1317C2×Q8C2×#4118yes—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—41no—
1379C22×C4—416no—
1380C22×C4C22×D418yes—
1381C22×C4C22×D414yes—
1382C22×C4C2×#4118yes—
1383C22×C4C2×#4114yes—
1384C22×C42−1+414yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2514yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2514yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2514yes—
1410C22×C4C2514yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—28no—
1424C4⋊C4—28no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—28no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4C22×D418yes—
1487C4⋊C4C22×D414yes—
1488C4⋊C4C22×D414yes—
1489C4⋊C4C22×D418yes—
1490C4⋊C4C22×D4116yes—
1491C4⋊C4C22×D4116yes—
1492C4⋊C4C22×D414yes—
1493C4⋊C4C22×D414yes—
1494C4⋊C4C22×D4116yes—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—24no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4C22×D418yes—
1541C22⋊C4C22×D418yes—
1542C22⋊C42−1+414yes—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—28no—
1547C42—22no—
1548C42—22no—
1549C42—28no—
1550C42—22no—
1551C42—22no—
1552C42—28no—
1553C42—28no—
1554C42—28no—
1555C42—28no—
1556C42—28no—
1557C42—28no—
1558C42—28no—
1559C42—24no—
1560C42—24no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—42no—
1570C42—42no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42C22×D418yes—
1576C42C22×D418yes—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—22no—
1589C23—21no—
1590C23—22no—
1591C23—22no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—22no—
1598C23—21no—
1599C23—22no—
1600C23—21no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—82no—
1606C23—82no—
1607C23—82no—
1608C23C23×D412yes—
1609C23C22×#4112yes—
1610C23C2×2−1+412yes—
1611C23C2×2−1+412yes—
1612C23C2611yescharacteristic
1613Q8—216no—
1614Q8—216no—
1615Q8—416no—
1616Q8—48no—
1617Q8—48no—
1618Q8—48no—
1619Q8—48no—
1620Q8—44no—
1621Q8—88no—
1622Q8—84no—
1623Q8—84no—
1624D4—48no—
1625D4—48no—
1626D4—44no—
1627D4—84no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—216no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—24no—
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—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—48no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—88no—
1720C2×C4—84no—
1721C2×C4—82no—
1722C2×C4—84no—
1723C2×C4#548116yes—
1724C2×C4C23×D414yes—
1725C2×C4C23×D414yes—
1726C2×C4C23×D414yes—
1727C2×C4C23×D414yes—
1728C2×C4C23×D418yes—
1729C2×C4C23×D412yes—
1730C2×C4C23×D412yes—
1731C2×C4C22×#4118yes—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C2×2−1+412yes—
1735C2×C4C2×2−1+412yes—
1736C2×C4C2×2−1+412yes—
1737C2×C4C2×2−1+412yes—
1738C2×C4#58512yes—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—88no—
1767C22C2×#54814yes—
1768C22C24×D411yescharacteristic
1769C22C23×#4111yescharacteristic
1770C22C22×2−1+411yescharacteristic
1771C22C22×2−1+411yescharacteristic
1772C22C2×#58511yescharacteristic
1773C222−1+611yescharacteristic
1774C222−1+611yescharacteristic
1775C4—28no—
1776C4—24no—
1777C4—24no—
1778C4—24no—
1779C4—22no—
1780C4—24no—
1781C4—22no—
1782C4—22no—
1783C4—28no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—41no—
1797C4—44no—
1798C4—42no—
1799C4—42no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—44no—
1804C4C2×#54814yes—
1805C4C2×#54814yes—
1806C2—24no—
1807C2—42no—
1808C2—82no—
1809C2—81no—
1810C2C22×#54811yescharacteristic
1811C2#6283711yescharacteristic
1812C2#6288911yescharacteristic
1813C2#6298811yescharacteristic
1814C2D4×2−1+411yescharacteristic
1815C2#6299811yescharacteristic
1816C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#3502C2semidirect
3. #59656C2semidirect
4. #59656C2semidirect
5. #59655C2semidirect
6. #59653C2semidirect
7. #59132C2semidirect
8. #59111C2semidirect
9. #59085C2semidirect
10. #59082C2semidirect
11. #59081C2semidirect
12. #59071C2semidirect
13. #45343C2semidirect
14. #45343C2semidirect
15. #45338C2semidirect
16. #45300C2semidirect
17. #45300C2semidirect
18. #45143C2semidirect
19. #45102C2semidirect
20. #44896C2semidirect
21. #44448C2semidirect
22. #43908C2semidirect
23. #35667C2semidirect
24. #35662C2semidirect
26. #35644C2semidirect
27. #35628C2semidirect
28. #35575C2semidirect
30. #34739C2semidirect
31. C2×#2429C2semidirect
32. #34272C2semidirect
33. #34266C2semidirect
34. #34209C2semidirect
35. #34203C2semidirect
38. C2×Q82C22semidirect
39. C2×Q82C22semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
42. C2×#557C22semidirect
43. C2×#557C22semidirect
44. C2×#557C22semidirect
45. C2×#557C22semidirect
78. #2729C22semidirect
79. #2729C22semidirect
82. #2725C22semidirect
83. #2725C22semidirect
84. #2719C22semidirect
85. #2719C22semidirect
86. #2719C22semidirect
87. #2719C22semidirect
88. #2719C22semidirect
89. #2719C22semidirect
92. #2716C22semidirect
93. #2716C22semidirect
98. #2592C22semidirect
99. #2592C22semidirect
100. #2582C22semidirect
101. #2582C22semidirect
102. #2581C22semidirect
103. #2581C22semidirect
104. #2568C22semidirect
105. #2568C22semidirect
110. #2550C22semidirect
111. #2550C22semidirect
112. #2550C22semidirect
113. #2546C22semidirect
114. #2546C22semidirect
116. #2545C22semidirect
117. #2545C22semidirect
124. #2519C22semidirect
125. #2519C22semidirect
133. #2492C22semidirect
134. #2492C22semidirect
145. #2489C22semidirect
146. #2489C22semidirect
153. #2475C22semidirect
154. #2475C22semidirect
159. #2469C22semidirect
160. #2469C22semidirect
165. #2454C22semidirect
166. #2453C22semidirect
167. #2453C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
171. #2453C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
175. #2451C22semidirect
176. #2451C22semidirect
178. #2446C22semidirect
179. #2446C22semidirect
180. #2446C22semidirect
183. #2442C22semidirect
186. #2441C22semidirect
189. #2440C22semidirect
193. #2439C22semidirect
194. #2439C22semidirect
212. #2429C22semidirect
213. #2429C22semidirect
214. #2429C22semidirect
215. #2429C22semidirect
216. #2429C22semidirect
220. #2421C22semidirect
232. #2370C22semidirect
233. #2370C22semidirect
234. #2369C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
241. #2365C22semidirect
242. #2365C22semidirect
243. #2365C22semidirect
244. #2365C22semidirect
245. #2365C22semidirect
249. #2362C22semidirect
250. #2362C22semidirect
251. #2362C22semidirect
255. #2360C22semidirect
256. #2360C22semidirect
257. #2351C22semidirect
262. #2331C22semidirect
263. #2330C22semidirect
264. #2327C22semidirect
265. #2327C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#35022
#596562
#596552
#596532
#591322
#591112
#590852
#590822
#590812
#590712
#453432
#453382
#453002
#451432
#451022
#448962
#444482
#439082
#356672
#356622
#356612
#356442
#356282
#355752
#348132
#347392
C2×#24292
#342722
#342662
#342092
#342032