Finite Group Databasebeta

← #7987161

Subgroups — #7987161

Order 512.

6821 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3544C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59136C211yesmaximal, characteristic, complemented
5#59081C211yesmaximal, characteristic, complemented
6#59031C212yesmaximal, complemented
7#59023C212yesmaximal, complemented
8#51589C214yesmaximal, complemented
9#51530C214yesmaximal, complemented
10#46132C214yesmaximal, complemented
11#45353C212yesmaximal, complemented
12#45255C212yesmaximal, complemented
13#45108C212yesmaximal, complemented
14#45107C212yesmaximal, complemented
15#42980C212yesmaximal, complemented
16#42980C212yesmaximal, complemented
17#42978C212yesmaximal, complemented
18#42978C212yesmaximal, complemented
19#39490C211yesmaximal, characteristic, complemented
20#38955C211yesmaximal, characteristic, complemented
21#38923C211yesmaximal, characteristic, complemented
22#38908C211yesmaximal, characteristic, complemented
23#37796C212yesmaximal, complemented
24#37750C214yesmaximal, complemented
25#37668C212yesmaximal, complemented
26#36275C211yesmaximal, characteristic, complemented
27#36234C212yesmaximal, complemented
28#36230C212yesmaximal, complemented
29#36154C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35257C212yesmaximal, complemented
32#35253C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34485C211yesmaximal, characteristic, complemented
36#3544—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39#3475—216no—
40C2×#556C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#551C2214yes—
51C2×#547C2212yes—
52C2×#547C2211yescharacteristic
53C2×#547C2212yescomplemented
54C2×#546C2212yes—
55C2×#544C2212yescomplemented
56C2×#544C2212yescomplemented
57C2×#542C2212yes—
58C2×#542C2212yescomplemented
59C2×#536C2214yescomplemented
60C2×#533C2211yescharacteristic
61C22×C4⋊Q8C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic
63C2×#529C2214yes—
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic, complemented
66C2×#525C2212yes—
67C2×C4×#41C2212yes—
68C2×C4×#41C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×#117C2212yes—
71#2862C2211yescharacteristic, complemented
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic, complemented
74#2857C2214yescomplemented
75#2855C2212yescomplemented
76#2851C2214yescomplemented
77#2851C2214yescomplemented
78#2848C2212yes—
79#2822C2214yescomplemented
80#2822C2214yescomplemented
81#2729C2214yes—
82#2729C2214yescomplemented
83#2729C2214yescomplemented
84#2724C2214yescomplemented
85#2722C2214yescomplemented
86#2722C2214yescomplemented
87#2722C2214yescomplemented
88#2717C2214yescomplemented
89#2708C2214yes—
90#2708C2214yes—
91#2697C2214yes—
92#2695C2214yes—
93#2695C2214yes—
94#2695C2214yescomplemented
95#2695C2214yescomplemented
96#2695C2214yescomplemented
97#2695C2214yescomplemented
98#2693C2214yes—
99#2693C2214yes—
100#2693C2214yescomplemented
101#2689C2214yescomplemented
102#2689C2214yescomplemented
103#2689C2214yescomplemented
104#2689C2214yescomplemented
105#2689C2214yescomplemented
106#2689C2214yescomplemented
107#2687C2214yes—
108#2687C2214yes—
109#2687C2214yes—
110#2687C2214yes—
111#2687C2214yescomplemented
112#2687C2214yescomplemented
113#2684C2214yes—
114#2642C2214yescomplemented
115#2629C2214yes—
116#2629C2214yescomplemented
117#2629C2214yescomplemented
118#2628C2214yes—
119#2628C2214yescomplemented
120#2625C2212yescomplemented
121#2625C2212yescomplemented
122#2621C2212yescomplemented
123#2621C2212yescomplemented
124#2611C2214yes—
125#2611C2214yescomplemented
126#2609C2214yes—
127#2609C2214yescomplemented
128#2582C2211yescharacteristic, complemented
129#2568C2211yescharacteristic, complemented
130#2567C2211yescharacteristic, complemented
131#2563C2211yescharacteristic
132#2550C2212yescomplemented
133#2550C2212yescomplemented
134#2550C2212yescomplemented
135#2550C2212yescomplemented
136#2547C2212yes—
137#2546C2211yescharacteristic, complemented
138#2538C2211yescharacteristic
139#2535C2212yescomplemented
140#2534C2214yes—
141#2503C2212yescomplemented
142#2503C2212yescomplemented
143#2499C2212yescomplemented
144#2492C2212yes—
145#2492C2212yes—
146#2492C2212yescomplemented
147#2492C2212yescomplemented
148#2487C2212yes—
149#2487C2212yes—
150#2486C2214yescomplemented
151#2485C2212yescomplemented
152#2480C2214yes—
153#2480C2212yes—
154#2478C2212yescomplemented
155#2478C2214yescomplemented
156#2470C2212yescomplemented
157#2470C2214yescomplemented
158#2468C2212yes—
159#2468C2214yescomplemented
160#2466C2212yes—
161#2466C2214yescomplemented
162#2457C2212yes—
163#2457C2214yescomplemented
164#2455C2212yes—
165#2455C2214yescomplemented
166#2454C2212yes—
167#2454C2211yescharacteristic
168#2453C2212yescomplemented
169#2453C2212yescomplemented
170#2453C2212yescomplemented
171#2453C2212yescomplemented
172#2453C2212yescomplemented
173#2453C2211yescharacteristic, complemented
174#2453C2212yescomplemented
175#2452C2212yes—
176#2452C2212yes—
177#2451C2212yescomplemented
178#2451C2212yescomplemented
179#2450C2214yes—
180#2450C2214yescomplemented
181#2450C2214yescomplemented
182#2449C2214yes—
183#2449C2214yescomplemented
184#2449C2214yescomplemented
185#2447C2212yes—
186#2447C2212yes—
187#2447C2211yescharacteristic
188#2447C2214yescomplemented
189#2447C2211yescharacteristic, complemented
190#2446C2212yescomplemented
191#2446C2214yescomplemented
192#2442C2212yes—
193#2442C2211yescharacteristic
194#2442C2212yescomplemented
195#2442C2212yescomplemented
196#2442C2212yescomplemented
197#2442C2212yescomplemented
198#2442C2212yescomplemented
199#2441C2212yes—
200#2441C2211yescharacteristic
201#2440C2212yescomplemented
202#2440C2212yescomplemented
203#2439C2212yes—
204#2439C2212yes—
205#2438C2214yescomplemented
206#2438C2214yescomplemented
207#2438C2214yescomplemented
208#2437C2214yes—
209#2437C2214yes—
210#2437C2214yes—
211#2435C2211yescharacteristic
212#2432C2211yescharacteristic
213#2432C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yescomplemented
217#2429C2214yescomplemented
218#2429C2212yescomplemented
219#2429C2211yescharacteristic, complemented
220#2427C2212yes—
221#2427C2214yes—
222#2427C2211yescharacteristic
223#2427C2212yescomplemented
224#2422C2211yescharacteristic, complemented
225#2420C2211yescharacteristic
226#2420C2212yescomplemented
227#2420C2212yescomplemented
228#2419C2214yescomplemented
229#2419C2214yescomplemented
230#2418C2214yes—
231#2418C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2417C2211yescharacteristic
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2417C2212yescomplemented
239#2417C2212yescomplemented
240#2415C2211yescharacteristic
241#2409C2212yes—
242#2409C2214yescomplemented
243#2408C2211yescharacteristic
244#2407C2214yes—
245#2407C2212yes—
246#2407C2211yescharacteristic
247#2406C2214yescomplemented
248#2404C2214yes—
249#2395C2212yes—
250#2395C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2379C2214yescomplemented
254#2369C2211yescharacteristic, complemented
255#2367C2212yes—
256#2365C2212yescomplemented
257#2362C2212yes—
258#2361C2212yes—
259#2361C2212yes—
260#2361C2212yescomplemented
261#2360C2212yescomplemented
262#2360C2212yescomplemented
263#2352C2212yes—
264#2349C2212yes—
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2212yescomplemented
267D4×C4⋊C4C2212yescomplemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269#2346C2212yescomplemented
270#2346C2212yescomplemented
271Q8×C22⋊C4C2212yescomplemented
272#2339C2212yes—
273#2339C2214yescomplemented
274D4×C22⋊C4C2212yes—
275#2326C2214yescomplemented
276#2324C2212yes—
277#2324C2212yescomplemented
278#2317C2212yescomplemented
279#2317C2212yescomplemented
280#2317C2212yescomplemented
281#2316C2212yescomplemented
282#2311C2212yes—
283#2311C2212yes—
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#123C2212yescomplemented
291C4×#121C2211yescharacteristic
292C4×#120C2212yes—
293#2296C2212yescomplemented
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic, complemented
296C2×#389C2212yescomplemented
297#2290C2214yescomplemented
298#2280C2212yes—
299C2×#380C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#563—232no—
308Q82—28no—
309#556—28no—
310#555D4116yescomplemented
311#554—28no—
312#554—28no—
313#554—28no—
314#553—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320#547—216no—
321#547—216no—
322#547—28no—
323#546—216no—
324#544—216no—
325#544—216no—
326#542—216no—
327#542—216no—
328#536—232no—
329#533—28no—
330C2×C4⋊Q8—28no—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2314yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343#529—232no—
344#529—216no—
345#529—28no—
346#529—28no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368C2×#124C2314yes—
369#525—216no—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×#121C2311yescharacteristic
406C2×#121C2314yes—
407C2×#121C2311yescharacteristic
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#120C2314yes—
413C2×#120C2312yes—
414C4×#41—28no—
415C4×#41—216no—
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×D4—28no—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×#117—216no—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2314yes—
459C2×#117C2314yes—
460C2×#117C2314yes—
461C2×#117C2311yescharacteristic
462C2×#117C2314yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2314yes—
478C22×C22⋊C4C2314yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2314yes—
481C22×C42C2314yes—
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2312yes—
499#400C2312yes—
500#399C2314yes—
501#399C2314yes—
502#399C2312yes—
503#399C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#397C2312yes—
529#397C2312yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#393C2314yes—
580#393C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2314yes—
601#391C2314yes—
602#391C2312yes—
603#391C2314yes—
604#391C2312yes—
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2314yes—
612#391C2314yes—
613#391C2311yescharacteristic
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2314yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2314yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2314yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#384C2312yes—
759#384C2314yes—
760#382C2312yes—
761#382C2314yes—
762#382C2314yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2311yescharacteristic
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2312yes—
773#381C2312yes—
774#381C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2314yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#379C2314yes—
807#379C2312yes—
808#379C2312yes—
809#379C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841#376C2314yes—
842C2×#95C2314yes—
843C2×#95C2314yes—
844C43C2311yescharacteristic
845C25C2412yes—
846C2×#41—24no—
847C2×#41—216no—
848C2×#41—28no—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—48no—
852C2×#41—44no—
853C2×#41—42no—
854C2×#41—84no—
855C22×Q8—28no—
856C22×Q8—44no—
857C22×Q8—82no—
858C22×Q8C2411yescharacteristic
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×Q8C2414yes—
865C22×Q8C2412yes—
866C22×D4—24no—
867C22×D4—24no—
868C22×D4—42no—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2414yes—
880C23×C4—28no—
881C23×C4—28no—
882C23×C4—44no—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C4⋊Q8—28no—
905C4⋊Q8—216no—
906C4⋊Q8—28no—
907C4⋊Q8—28no—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—24no—
911C4⋊Q8—24no—
912C4⋊Q8—216no—
913C4⋊Q8—42no—
914C4⋊Q8—44no—
915C4⋊Q8C2×D418yes—
916#126—216no—
917#126—216no—
918#126—216no—
919#126—28no—
920#126—28no—
921#126—216no—
922#126—216no—
923#125—24no—
924#125—24no—
925#125—28no—
926#125—28no—
927#125—28no—
928#125—28no—
929#125—216no—
930#125—216no—
931#125—216no—
932#124—24no—
933#124—24no—
934#124—28no—
935#124—216no—
936#124—24no—
937#124C2×D4132yes—
938#123—216no—
939#123—216no—
940#123—216no—
941#123—216no—
942#123—28no—
943#123—28no—
944#123—216no—
945#123—216no—
946#123—216no—
947#123—216no—
948#123—44no—
949C22⋊Q8—216no—
950C22⋊Q8—28no—
951C22⋊Q8—28no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—24no—
958C22⋊Q8—24no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—42no—
967C22⋊Q8—42no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—82no—
971C22⋊Q8—84no—
972C22⋊Q8—84no—
973#121—28no—
974#121—216no—
975#121—24no—
976#121—24no—
977#121—24no—
978#121C2×D4116yes—
979#121C2×D4116yes—
980#120—216no—
981#120—44no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—24no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—24no—
989C4×Q8—24no—
990C4×Q8—24no—
991C4×Q8—82no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—216no—
995C4×D4—28no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—216no—
1006C4×D4—28no—
1007C4×D4—216no—
1008C4×D4—24no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—42no—
1012C4×D4—44no—
1013C4×D4—48no—
1014C4×D4—42no—
1015C4×D4—84no—
1016C4×D4C2×D418yes—
1017C4×D4C2×D418yes—
1018#117—28no—
1019#117—28no—
1020#117—28no—
1021#117—24no—
1022#117—28no—
1023#117—216no—
1024#117—28no—
1025#117—216no—
1026#117—216no—
1027#117—216no—
1028#117—44no—
1029#117—44no—
1030#117C2×D4116yes—
1031#117C2×D4116yes—
1032C2×C4⋊C4—28no—
1033C2×C4⋊C4—28no—
1034C2×C4⋊C4—28no—
1035C2×C4⋊C4—28no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—28no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—84no—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C22⋊C4—216no—
1117C2×C22⋊C4—28no—
1118C2×C22⋊C4—84no—
1119C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C42—28no—
1180C2×C42—216no—
1181C2×C42—24no—
1182C2×C42—24no—
1183C2×C42C2412yes—
1184C2×C42C2414yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2414yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2414yes—
1206C2×C42C2411yescharacteristic
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2412yes—
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24—24no—
1272C24—24no—
1273C24—24no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24C2512yes—
1279C24C2512yes—
1280C24C2511yescharacteristic
1281C24C2512yes—
1282C24C2511yescharacteristic
1283#41—416no—
1284#41—432no—
1285#41—832no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—28no—
1292C2×Q8—28no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—24no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—44no—
1304C2×Q8—42no—
1305C2×Q8—44no—
1306C2×Q8—44no—
1307C2×Q8—42no—
1308C2×Q8—44no—
1309C2×Q8—816no—
1310C2×Q8C22×D418yes—
1311C2×D4—24no—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—28no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—42no—
1332C2×D4—41no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—416no—
1341C2×D4C22×D414yes—
1342C2×D4C22×D414yes—
1343C2×D4C22×D4116yes—
1344C2×D42−1+414yes—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—22no—
1356C22×C4—28no—
1357C22×C4—24no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—28no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—28no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—41no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—432no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—41no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—41no—
1400C22×C4—42no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4C22×D418yes—
1407C22×C4C22×D418yes—
1408C22×C42−1+414yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2514yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2514yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—28no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—28no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—41no—
1492C4⋊C4—44no—
1493C4⋊C4—41no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4C22×D414yes—
1510C4⋊C4C22×D418yes—
1511C4⋊C4C22×D414yes—
1512C4⋊C4C22×D418yes—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—22no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—22no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—41no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4C22×D4116yes—
1570C22⋊C4C22×D418yes—
1571C22⋊C4C22×D418yes—
1572C22⋊C4C22×D4116yes—
1573C42—24no—
1574C42—22no—
1575C42—28no—
1576C42—22no—
1577C42—24no—
1578C42—28no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—24no—
1583C42—22no—
1584C42—24no—
1585C42—24no—
1586C42—28no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—24no—
1592C42—24no—
1593C42—44no—
1594C42—41no—
1595C42—44no—
1596C42—41no—
1597C42C22×D414yes—
1598C42C22×D4116yes—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—21no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—21no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—48no—
1630C23—48no—
1631C23—48no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23C23×D414yes—
1637C23C23×D414yes—
1638C23C2×2−1+412yes—
1639C23C2×2−1+414yes—
1640C23#58512yes—
1641C23C2611yescharacteristic
1642Q8—48no—
1643Q8—44no—
1644Q8—44no—
1645Q8—44no—
1646Q8—48no—
1647Q8—88no—
1648Q8—84no—
1649Q8—88no—
1650D4—28no—
1651D4—28no—
1652D4—28no—
1653D4—416no—
1654D4—44no—
1655D4—48no—
1656D4—48no—
1657D4—48no—
1658D4—416no—
1659D4—48no—
1660D4—48no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—28no—
1672C2×C4—216no—
1673C2×C4—216no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—48no—
1744C2×C4—48no—
1745C2×C4—48no—
1746C2×C4—44no—
1747C2×C4—416no—
1748C2×C4—48no—
1749C2×C4—416no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—48no—
1753C2×C4—44no—
1754C2×C4—88no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—88no—
1760C2×C4—164no—
1761C2×C4C23×D414yes—
1762C2×C4C23×D414yes—
1763C2×C4C23×D412yes—
1764C2×C4C23×D418yes—
1765C2×C4C23×D412yes—
1766C2×C4C23×D412yes—
1767C2×C4C2×2−1+412yes—
1768C2×C4C2×2−1+412yes—
1769C2×C4C2×2−1+412yes—
1770C2×C4#58512yes—
1771C2×C4#58512yes—
1772C22—22no—
1773C22—24no—
1774C22—24no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—24no—
1779C22—22no—
1780C22—24no—
1781C22—24no—
1782C22—24no—
1783C22—24no—
1784C22—24no—
1785C22—22no—
1786C22—24no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—42no—
1807C22—816no—
1808C22C24×D411yescharacteristic
1809C22C22×2−1+411yescharacteristic
1810C22C22×2−1+411yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22H(7,𝔽2)11yescharacteristic
1815C4—28no—
1816C4—22no—
1817C4—22no—
1818C4—24no—
1819C4—24no—
1820C4—44no—
1821C4—41no—
1822C4—42no—
1823C4—41no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—41no—
1828C4—41no—
1829C4—42no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—44no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—44no—
1841C4—42no—
1842C4—41no—
1843C4#348914yes—
1844C4#348914yes—
1845C2—42no—
1846C2—44no—
1847C2—44no—
1848C2—44no—
1849C2—42no—
1850C2#6275211yescharacteristic
1851C2C2×#348911yescharacteristic
1852C2C2×#348911yescharacteristic
1853C2#6293811yescharacteristic
1854C2#6294511yescharacteristic
1855C2#6298711yescharacteristic
1856C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3544C2semidirect
2. C2×#3475C2semidirect
3. #59655C2semidirect
4. #59136C2semidirect
5. #59081C2semidirect
6. #59031C2semidirect
7. #59023C2semidirect
8. #51589C2semidirect
9. #51530C2semidirect
10. #46132C2semidirect
11. #45353C2semidirect
12. #45255C2semidirect
13. #45108C2semidirect
14. #45107C2semidirect
15. #42980C2semidirect
16. #42980C2semidirect
17. #42978C2semidirect
18. #42978C2semidirect
19. #39490C2semidirect
20. #38955C2semidirect
21. #38923C2semidirect
22. #38908C2semidirect
23. #37796C2semidirect
24. #37750C2semidirect
25. #37668C2semidirect
26. #36275C2semidirect
27. #36234C2semidirect
28. #36230C2semidirect
29. #36154C2semidirect
30. #36129C2semidirect
31. #35257C2semidirect
32. #35253C2semidirect
33. #34724C2semidirect
34. #34700C2semidirect
35. #34485C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
44. C2×#554C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
53. C2×#547C22semidirect
55. C2×#544C22semidirect
56. C2×#544C22semidirect
58. C2×#542C22semidirect
59. C2×#536C22semidirect
61. C22×C4⋊Q8C22semidirect
65. C2×#529C22semidirect
71. #2862C22semidirect
73. #2857C22semidirect
74. #2857C22semidirect
75. #2855C22semidirect
76. #2851C22semidirect
77. #2851C22semidirect
79. #2822C22semidirect
80. #2822C22semidirect
82. #2729C22semidirect
83. #2729C22semidirect
84. #2724C22semidirect
85. #2722C22semidirect
86. #2722C22semidirect
87. #2722C22semidirect
88. #2717C22semidirect
94. #2695C22semidirect
95. #2695C22semidirect
96. #2695C22semidirect
97. #2695C22semidirect
100. #2693C22semidirect
101. #2689C22semidirect
102. #2689C22semidirect
103. #2689C22semidirect
104. #2689C22semidirect
105. #2689C22semidirect
106. #2689C22semidirect
111. #2687C22semidirect
112. #2687C22semidirect
114. #2642C22semidirect
116. #2629C22semidirect
117. #2629C22semidirect
119. #2628C22semidirect
120. #2625C22semidirect
121. #2625C22semidirect
122. #2621C22semidirect
123. #2621C22semidirect
125. #2611C22semidirect
127. #2609C22semidirect
128. #2582C22semidirect
129. #2568C22semidirect
130. #2567C22semidirect
132. #2550C22semidirect
133. #2550C22semidirect
134. #2550C22semidirect
135. #2550C22semidirect
137. #2546C22semidirect
139. #2535C22semidirect
141. #2503C22semidirect
142. #2503C22semidirect
143. #2499C22semidirect
146. #2492C22semidirect
147. #2492C22semidirect
150. #2486C22semidirect
151. #2485C22semidirect
154. #2478C22semidirect
155. #2478C22semidirect
156. #2470C22semidirect
157. #2470C22semidirect
159. #2468C22semidirect
161. #2466C22semidirect
163. #2457C22semidirect
165. #2455C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
171. #2453C22semidirect
172. #2453C22semidirect
173. #2453C22semidirect
174. #2453C22semidirect
177. #2451C22semidirect
178. #2451C22semidirect
180. #2450C22semidirect
181. #2450C22semidirect
183. #2449C22semidirect
184. #2449C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2442C22semidirect
197. #2442C22semidirect
198. #2442C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
205. #2438C22semidirect
206. #2438C22semidirect
207. #2438C22semidirect
216. #2429C22semidirect
217. #2429C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
223. #2427C22semidirect
224. #2422C22semidirect
226. #2420C22semidirect
227. #2420C22semidirect
228. #2419C22semidirect
229. #2419C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
239. #2417C22semidirect
242. #2409C22semidirect
247. #2406C22semidirect
253. #2379C22semidirect
254. #2369C22semidirect
256. #2365C22semidirect
260. #2361C22semidirect
261. #2360C22semidirect
262. #2360C22semidirect
266. D4×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. #2346C22semidirect
270. #2346C22semidirect
271. Q8×C22⋊C4C22semidirect
273. #2339C22semidirect
275. #2326C22semidirect
277. #2324C22semidirect
278. #2317C22semidirect
279. #2317C22semidirect
280. #2317C22semidirect
281. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
293. #2296C22semidirect
295. #2293C22semidirect
296. C2×#389C22semidirect
297. #2290C22semidirect
310. #555D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35442
C2×#34752
#596552
#591362
#590812
#590312
#590232
#515892
#515302
#461322
#453532
#452552
#451082
#451072
#429802
#429782
#394902
#389552
#389232
#389082
#377962
#377502
#376682
#362752
#362342
#362302
#361542
#361292
#352572
#352532
#347242
#347002
#344852