Finite Group Databasebeta

← #7683783

Subgroups — #7683783

Order 512.

6773 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×#3509C211yesmaximal, characteristic, complemented
2C2×#3495C211yesmaximal, characteristic
3#59310C214yesmaximal, complemented
4#59290C214yesmaximal, complemented
5#59116C212yesmaximal, complemented
6#59114C212yesmaximal, complemented
7#59113C212yesmaximal, complemented
8#59111C212yesmaximal, complemented
9#59073C212yesmaximal, complemented
10#59071C212yesmaximal, complemented
11#59069C212yesmaximal, complemented
12#59067C212yesmaximal, complemented
13#45326C212yesmaximal, complemented
14#45324C212yesmaximal, complemented
15#45324C212yesmaximal, complemented
16#45238C212yesmaximal, complemented
17#45227C212yesmaximal, complemented
18#45185C212yesmaximal, complemented
19#45177C212yesmaximal, complemented
20#45077C212yesmaximal, complemented
21#44461C214yesmaximal, complemented
22#43935C214yesmaximal, complemented
23#35674C211yesmaximal, characteristic, complemented
24#35672C211yesmaximal, characteristic, complemented
25#35668C211yesmaximal, characteristic, complemented
26#35633C211yesmaximal, characteristic
27#35619C211yesmaximal, characteristic, complemented
28#35566C211yesmaximal, characteristic, complemented
29#34742C211yesmaximal, characteristic
30#34739C211yesmaximal, characteristic, complemented
31C2×#2429C211yesmaximal, characteristic, complemented
32#34266C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34182C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3495—216no—
38C2×#557C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#556C2212yes—
41C2×#556C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#554C2212yes—
44C2×#552C2212yes—
45C2×#552C2214yes—
46C2×#552C2212yes—
47C2×#552C2214yes—
48C2×#552C2214yes—
49C2×#551C2214yes—
50C2×#544C2211yescharacteristic
51C2×#542C2212yes—
52C2×#541C2212yes—
53C2×#541C2212yescomplemented
54C2×#541C2212yescomplemented
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#533C2212yes—
58C2×#533C2211yescharacteristic
59C2×#533C2212yescomplemented
60C2×#533C2212yescomplemented
61C22×C4⋊Q8C2211yescharacteristic
62C2×#529C2212yes—
63C2×#525C2211yescharacteristic
64C22×C22⋊Q8C2211yescharacteristic
65C22×C22⋊Q8C2211yescharacteristic
66C2×#520C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C2×#519C2211yescharacteristic
70C2×#519C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73C22×#117C2211yescharacteristic
74#2726C2214yescomplemented
75#2726C2214yescomplemented
76#2725C2214yes—
77#2725C2214yes—
78#2722C2214yescomplemented
79#2722C2214yescomplemented
80#2721C2214yes—
81#2721C2214yes—
82#2720C2214yes—
83#2720C2214yes—
84#2719C2214yescomplemented
85#2719C2214yescomplemented
86#2719C2214yescomplemented
87#2719C2214yescomplemented
88#2718C2214yes—
89#2718C2214yes—
90#2715C2214yes—
91#2698C2214yescomplemented
92#2698C2214yescomplemented
93#2695C2214yes—
94#2689C2214yescomplemented
95#2689C2214yescomplemented
96#2680C2214yes—
97#2674C2214yes—
98#2584C2212yescomplemented
99#2584C2212yescomplemented
100#2568C2212yescomplemented
101#2567C2212yescomplemented
102#2567C2212yescomplemented
103#2565C2212yescomplemented
104#2565C2212yescomplemented
105#2553C2214yes—
106#2552C2212yescomplemented
107#2552C2214yescomplemented
108#2551C2212yescomplemented
109#2550C2212yescomplemented
110#2550C2212yescomplemented
111#2549C2214yes—
112#2546C2212yescomplemented
113#2534C2214yes—
114#2521C2214yes—
115#2519C2214yes—
116#2519C2214yes—
117#2506C2214yescomplemented
118#2506C2214yescomplemented
119#2503C2212yescomplemented
120#2502C2212yescomplemented
121#2499C2212yescomplemented
122#2499C2212yescomplemented
123#2496C2214yescomplemented
124#2496C2214yescomplemented
125#2489C2214yes—
126#2488C2214yes—
127#2486C2214yes—
128#2484C2214yes—
129#2484C2214yes—
130#2484C2214yes—
131#2482C2214yes—
132#2478C2214yescomplemented
133#2478C2214yescomplemented
134#2478C2214yescomplemented
135#2478C2214yescomplemented
136#2475C2214yes—
137#2475C2214yes—
138#2474C2214yes—
139#2470C2214yes—
140#2469C2214yes—
141#2469C2214yes—
142#2468C2214yes—
143#2466C2214yes—
144#2462C2214yescomplemented
145#2462C2214yescomplemented
146#2462C2214yescomplemented
147#2462C2214yescomplemented
148#2453C2214yescomplemented
149#2453C2212yescomplemented
150#2453C2212yescomplemented
151#2453C2214yescomplemented
152#2451C2212yescomplemented
153#2451C2212yescomplemented
154#2449C2214yes—
155#2447C2212yescomplemented
156#2447C2212yescomplemented
157#2446C2212yescomplemented
158#2446C2212yescomplemented
159#2446C2212yescomplemented
160#2446C2212yescomplemented
161#2446C2212yescomplemented
162#2446C2212yescomplemented
163#2446C2212yescomplemented
164#2446C2212yescomplemented
165#2446C2212yescomplemented
166#2446C2212yescomplemented
167#2442C2211yescharacteristic
168#2442C2211yescharacteristic
169#2441C2211yescharacteristic
170#2441C2214yes—
171#2441C2211yescharacteristic
172#2440C2214yes—
173#2440C2211yescharacteristic
174#2440C2211yescharacteristic
175#2440C2214yescomplemented
176#2439C2211yescharacteristic
177#2439C2211yescharacteristic
178#2438C2214yes—
179#2438C2214yes—
180#2438C2212yes—
181#2438C2212yes—
182#2438C2214yescomplemented
183#2438C2214yescomplemented
184#2437C2212yes—
185#2437C2212yes—
186#2429C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2429C2212yes—
190#2429C2212yes—
191#2429C2212yes—
192#2429C2212yes—
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2429C2214yes—
197#2427C2212yes—
198#2427C2212yes—
199#2423C2211yescharacteristic
200#2423C2212yes—
201#2423C2212yes—
202#2423C2212yes—
203#2423C2212yes—
204#2423C2211yescharacteristic
205#2422C2211yescharacteristic
206#2422C2211yescharacteristic
207#2421C2211yescharacteristic
208#2421C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2421C2211yescharacteristic
213#2420C2211yescharacteristic
214#2420C2211yescharacteristic
215#2419C2214yes—
216#2419C2214yes—
217#2419C2212yes—
218#2419C2212yes—
219#2418C2212yes—
220#2418C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2415C2212yes—
224#2415C2212yes—
225#2413C2214yes—
226#2396C2212yes—
227#2396C2212yes—
228#2395C2212yes—
229#2395C2212yes—
230C2×#398C2212yes—
231C2×#396C2212yes—
232#2367C2212yescomplemented
233#2367C2212yescomplemented
234#2365C2212yescomplemented
235#2365C2212yescomplemented
236#2365C2214yescomplemented
237#2362C2212yes—
238#2362C2212yes—
239#2362C2214yes—
240#2362C2212yescomplemented
241#2362C2212yescomplemented
242#2360C2212yes—
243#2360C2212yes—
244#2360C2212yescomplemented
245#2360C2212yescomplemented
246#2359C2214yes—
247#2351C2212yescomplemented
248#2351C2212yescomplemented
249#2351C2212yescomplemented
250#2351C2212yescomplemented
251#2351C2212yescomplemented
252Q8×C4⋊C4C2212yescomplemented
253Q8×C4⋊C4C2212yescomplemented
254Q8×C4⋊C4C2212yescomplemented
255Q8×C4⋊C4C2212yescomplemented
256Q8×C4⋊C4C2212yescomplemented
257#2349C2214yes—
258#2349C2212yescomplemented
259D4×C4⋊C4C2214yes—
260D4×C4⋊C4C2212yescomplemented
261#2344C2214yes—
262#2344C2214yescomplemented
263#2342C2214yes—
264#2323C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2212yescomplemented
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2214yes—
273#2316C2212yescomplemented
274#2310C2211yescharacteristic
275#2310C2211yescharacteristic
276#2310C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×#123C2214yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2212yescomplemented
289C2×#391C2211yescharacteristic
290C2×#389C2212yes—
291C2×#389C2211yescharacteristic
292C2×#389C2212yescomplemented
293C2×#388C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2214yes—
297#2280C2211yescharacteristic
298#2280C2211yescharacteristic
299#2274C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C24×C4C2311yescharacteristic
305#557—216no—
306#557—216no—
307#556—216no—
308#556—216no—
309#556—216no—
310#554—216no—
311#552—232no—
312#552—232no—
313#552—232no—
314#552—216no—
315#552—216no—
316#551—232no—
317#544—28no—
318#542—216no—
319#541—216no—
320#541—216no—
321#541—216no—
322#536—28no—
323#536D4116yes—
324#533—216no—
325#533—216no—
326#533—216no—
327#533—28no—
328C2×C4⋊Q8—28no—
329C2×C4⋊Q8C2312yes—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2312yes—
340#529—216no—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125C2312yes—
350C2×#125C2311yescharacteristic
351C2×#125C2311yescharacteristic
352C2×#125C2314yes—
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365#525—28no—
366C2×#123C2312yes—
367C2×#123C2312yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×C22⋊Q8—28no—
374C2×C22⋊Q8—28no—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×#121C2311yescharacteristic
399C2×#121C2311yescharacteristic
400C2×#120C2312yes—
401#520—28no—
402#520—28no—
403#519—28no—
404#519—28no—
405#519—28no—
406C4×#41—28no—
407C2×C4×Q8—28no—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
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×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2314yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×#117—28no—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2314yes—
452C2×#117C2314yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2314yes—
458C2×#117C2312yes—
459C2×#117C2314yes—
460C2×#117C2314yes—
461C2×#117C2314yes—
462C2×#117C2311yescharacteristic
463C2×#117C2311yescharacteristic
464C2×#117C2314yes—
465C2×#117C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2311yescharacteristic
484C22×C42C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2312yes—
487C22×C42C2311yescharacteristic
488C22×C42C2312yes—
489#400C2314yes—
490#400C2314yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2314yes—
508#399C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#396C2314yes—
560#396C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2312yes—
568#395C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#393C2312yes—
576#393C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2314yes—
592#391C2314yes—
593#391C2314yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2314yes—
600#391C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#384C2311yescharacteristic
750#384C2312yes—
751#384C2311yescharacteristic
752#384C2314yes—
753#384C2312yes—
754#384C2314yes—
755#384C2314yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2314yes—
759#382C2311yescharacteristic
760#382C2312yes—
761#382C2311yescharacteristic
762#382C2312yes—
763#382C2314yes—
764#382C2311yescharacteristic
765#382C2311yescharacteristic
766#382C2314yes—
767#382C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2312yes—
772#381C2312yes—
773#381C2314yes—
774#381C2314yes—
775#381C2312yes—
776#381C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#379C2312yes—
798#379C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C2×#95C2312yes—
843C2×#95C2314yes—
844C2×#95C2312yes—
845C2×#95C2311yescharacteristic
846C2×#95C2311yescharacteristic
847C2×#95C2312yes—
848C25C2411yescharacteristic
849C2×#41—24no—
850C2×#41—24no—
851C2×#41C2×D418yes—
852C22×Q8—24no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8C2×D418yes—
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C23×C4—24no—
871C23×C4—24no—
872C23×C4—24no—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C4⋊Q8—28no—
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—28no—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—28no—
902C4⋊Q8—28no—
903C4⋊Q8—48no—
904C4⋊Q8C2×D4116yes—
905#126—216no—
906#126—216no—
907#126—216no—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—216no—
913#125—24no—
914#125—24no—
915#125—216no—
916#125—216no—
917#125—216no—
918#125—216no—
919#125—216no—
920#125—216no—
921#125—216no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—28no—
926#124—28no—
927#124—216no—
928#124C2×D4116yes—
929#123—28no—
930#123—216no—
931#123—216no—
932#123—216no—
933#123—28no—
934#123—44no—
935#123C2×D4132yes—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—28no—
939C22⋊Q8—28no—
940C22⋊Q8—24no—
941C22⋊Q8—24no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—216no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—28no—
956C22⋊Q8—44no—
957C22⋊Q8C2×D4116yes—
958C22⋊Q8C2×D4116yes—
959#121—24no—
960#121—24no—
961#120—28no—
962C4×Q8—24no—
963C4×Q8—24no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—28no—
968C4×Q8—28no—
969C4×Q8—28no—
970C4×Q8—28no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—216no—
976C4×Q8—216no—
977C4×Q8—216no—
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—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—28no—
992C4×D4—216no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—216no—
996C4×D4—28no—
997C4×D4—216no—
998#117—24no—
999#117—24no—
1000#117—28no—
1001#117—24no—
1002#117—24no—
1003#117—216no—
1004#117—216no—
1005#117—28no—
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009#117—24no—
1010#117—216no—
1011#117—28no—
1012#117—28no—
1013#117—216no—
1014#117—216no—
1015#117—216no—
1016#117—216no—
1017#117—28no—
1018#117C2×D418yes—
1019C2×C4⋊C4—24no—
1020C2×C4⋊C4—28no—
1021C2×C4⋊C4—28no—
1022C2×C4⋊C4—28no—
1023C2×C4⋊C4—28no—
1024C2×C4⋊C4—28no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—24no—
1027C2×C4⋊C4—24no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—48no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4#4118yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C22⋊C4—28no—
1118C2×C22⋊C4—28no—
1119C2×C22⋊C4—28no—
1120C2×C22⋊C4—24no—
1121C2×C22⋊C4—42no—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C42—24no—
1168C2×C42—28no—
1169C2×C42—28no—
1170C2×C42—24no—
1171C2×C42—28no—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2412yes—
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—232no—
1283C2×Q8—232no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—28no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—22no—
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—42no—
1302C2×Q8—42no—
1303C2×Q8—44no—
1304C2×Q8—44no—
1305C2×Q8—416no—
1306C2×Q8C22×D418yes—
1307C2×Q8C22×D418yes—
1308C2×Q8C22×D414yes—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4C22×D418yes—
1320C2×D4C22×D414yes—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—416no—
1379C22×C4C22×D418yes—
1380C22×C4C22×D418yes—
1381C22×C4C22×D414yes—
1382C22×C4C2×#4118yes—
1383C22×C4C2×#4114yes—
1384C22×C42−1+414yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2514yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2514yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—28no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4C22×D414yes—
1496C4⋊C4C22×D414yes—
1497C4⋊C4C22×D4116yes—
1498C4⋊C4C22×D4116yes—
1499C4⋊C4C2×#4118yes—
1500C4⋊C4C2×#4118yes—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—22no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4C22×D418yes—
1543C22⋊C4C22×D4116yes—
1544C22⋊C4C22×D4116yes—
1545C22⋊C42−1+414yes—
1546C42—22no—
1547C42—24no—
1548C42—24no—
1549C42—24no—
1550C42—24no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—22no—
1555C42—22no—
1556C42—28no—
1557C42—28no—
1558C42—28no—
1559C42—28no—
1560C42—28no—
1561C42—28no—
1562C42—28no—
1563C42—24no—
1564C42—24no—
1565C42—28no—
1566C42—22no—
1567C42—22no—
1568C42—28no—
1569C42—22no—
1570C42—22no—
1571C42—28no—
1572C42—24no—
1573C42—24no—
1574C42—44no—
1575C42—44no—
1576C42C22×D418yes—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—21no—
1590C23—22no—
1591C23—22no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—82no—
1605C23—82no—
1606C23—82no—
1607C23C23×D414yes—
1608C23C23×D412yes—
1609C23C22×#4112yes—
1610C23C2×2−1+412yes—
1611C23C2×2−1+412yes—
1612C23C2611yescharacteristic
1613Q8—216no—
1614Q8—216no—
1615Q8—28no—
1616Q8—48no—
1617Q8—48no—
1618Q8—48no—
1619Q8—48no—
1620Q8—88no—
1621D4—216no—
1622D4—28no—
1623D4—48no—
1624D4—84no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—216no—
1642C2×C4—216no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—48no—
1713C2×C4—44no—
1714C2×C4—48no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—88no—
1720C2×C4—84no—
1721C2×C4—82no—
1722C2×C4—88no—
1723C2×C4—84no—
1724C2×C4#547116yes—
1725C2×C4C23×D418yes—
1726C2×C4C23×D414yes—
1727C2×C4C23×D414yes—
1728C2×C4C23×D414yes—
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—24no—
1747C22—22no—
1748C22—24no—
1749C22—22no—
1750C22—24no—
1751C22—42no—
1752C22—41no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—42no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—88no—
1767C22C2×#54714yes—
1768C22C24×D411yescharacteristic
1769C22C23×#4111yescharacteristic
1770C22C22×2−1+411yescharacteristic
1771C22C22×2−1+411yescharacteristic
1772C22C2×#58511yescharacteristic
1773C222−1+611yescharacteristic
1774C222−1+611yescharacteristic
1775C4—28no—
1776C4—22no—
1777C4—24no—
1778C4—22no—
1779C4—22no—
1780C4—24no—
1781C4—24no—
1782C4—28no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—41no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—44no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—44no—
1804C4C2×#54714yes—
1805C4C2×#54714yes—
1806C2—24no—
1807C2—44no—
1808C2—42no—
1809C2—81no—
1810C2C22×#54711yescharacteristic
1811C2#6283711yescharacteristic
1812C2#6288911yescharacteristic
1813C2#6299111yescharacteristic
1814C2D4×2−1+411yescharacteristic
1815C2#6299811yescharacteristic
1816C2#6300211yescharacteristic
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
1. C2×#3509C2semidirect
3. #59310C2semidirect
4. #59290C2semidirect
5. #59116C2semidirect
6. #59114C2semidirect
7. #59113C2semidirect
8. #59111C2semidirect
9. #59073C2semidirect
10. #59071C2semidirect
11. #59069C2semidirect
12. #59067C2semidirect
13. #45326C2semidirect
14. #45324C2semidirect
15. #45324C2semidirect
16. #45238C2semidirect
17. #45227C2semidirect
18. #45185C2semidirect
19. #45177C2semidirect
20. #45077C2semidirect
21. #44461C2semidirect
22. #43935C2semidirect
23. #35674C2semidirect
24. #35672C2semidirect
25. #35668C2semidirect
27. #35619C2semidirect
28. #35566C2semidirect
30. #34739C2semidirect
31. C2×#2429C2semidirect
32. #34266C2semidirect
33. #34250C2semidirect
34. #34203C2semidirect
35. #34182C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
53. C2×#541C22semidirect
54. C2×#541C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
74. #2726C22semidirect
75. #2726C22semidirect
78. #2722C22semidirect
79. #2722C22semidirect
84. #2719C22semidirect
85. #2719C22semidirect
86. #2719C22semidirect
87. #2719C22semidirect
91. #2698C22semidirect
92. #2698C22semidirect
94. #2689C22semidirect
95. #2689C22semidirect
98. #2584C22semidirect
99. #2584C22semidirect
100. #2568C22semidirect
101. #2567C22semidirect
102. #2567C22semidirect
103. #2565C22semidirect
104. #2565C22semidirect
106. #2552C22semidirect
107. #2552C22semidirect
108. #2551C22semidirect
109. #2550C22semidirect
110. #2550C22semidirect
112. #2546C22semidirect
117. #2506C22semidirect
118. #2506C22semidirect
119. #2503C22semidirect
120. #2502C22semidirect
121. #2499C22semidirect
122. #2499C22semidirect
123. #2496C22semidirect
124. #2496C22semidirect
132. #2478C22semidirect
133. #2478C22semidirect
134. #2478C22semidirect
135. #2478C22semidirect
144. #2462C22semidirect
145. #2462C22semidirect
146. #2462C22semidirect
147. #2462C22semidirect
148. #2453C22semidirect
149. #2453C22semidirect
150. #2453C22semidirect
151. #2453C22semidirect
152. #2451C22semidirect
153. #2451C22semidirect
155. #2447C22semidirect
156. #2447C22semidirect
157. #2446C22semidirect
158. #2446C22semidirect
159. #2446C22semidirect
160. #2446C22semidirect
161. #2446C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
164. #2446C22semidirect
165. #2446C22semidirect
166. #2446C22semidirect
175. #2440C22semidirect
182. #2438C22semidirect
183. #2438C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
240. #2362C22semidirect
241. #2362C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
247. #2351C22semidirect
248. #2351C22semidirect
249. #2351C22semidirect
250. #2351C22semidirect
251. #2351C22semidirect
252. Q8×C4⋊C4C22semidirect
253. Q8×C4⋊C4C22semidirect
254. Q8×C4⋊C4C22semidirect
255. Q8×C4⋊C4C22semidirect
256. Q8×C4⋊C4C22semidirect
258. #2349C22semidirect
260. D4×C4⋊C4C22semidirect
262. #2344C22semidirect
269. #2317C22semidirect
273. #2316C22semidirect
288. #2296C22semidirect
292. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#34952
#593102
#592902
#591162
#591142
#591132
#591112
#590732
#590712
#590692
#590672
#453262
#453242
#452382
#452272
#451852
#451772
#450772
#444612
#439352
#356742
#356722
#356682
#356332
#356192
#355662
#347422
#347392
C2×#24292
#342662
#342502
#342032
#341822