Finite Group Databasebeta

← #7712253

Subgroups — #7712253

Order 512.

6796 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3555C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic
3#59154C212yesmaximal, complemented
4#59148C212yesmaximal, complemented
5#59082C212yesmaximal, complemented
6#59069C212yesmaximal, complemented
7#45771C214yesmaximal, complemented
8#45456C214yesmaximal, complemented
9#39127C211yesmaximal, characteristic, complemented
10#39125C211yesmaximal, characteristic, complemented
11#38923C211yesmaximal, characteristic, complemented
12#38921C211yesmaximal, characteristic, complemented
13#38051C212yesmaximal, complemented
14#38048C212yesmaximal, complemented
15#37807C214yesmaximal, complemented
16#37799C212yesmaximal, complemented
17#37796C212yesmaximal, complemented
18#37727C214yesmaximal, complemented
19#37664C212yesmaximal
20#37663C212yesmaximal, complemented
21#37633C211yesmaximal, characteristic, complemented
22#37622C211yesmaximal, characteristic, complemented
23#37378C212yesmaximal, complemented
24#37281C212yesmaximal, complemented
25#36625C211yesmaximal, characteristic, complemented
26#36625C211yesmaximal, characteristic, complemented
27#36545C211yesmaximal, characteristic, complemented
28Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
29#36161C212yesmaximal, complemented
30#36161C211yesmaximal, characteristic, complemented
31#36156C212yesmaximal, complemented
32#36154C211yesmaximal, characteristic, complemented
33#35310C212yesmaximal, complemented
34#35253C212yesmaximal, complemented
35#34383C211yesmaximal, characteristic, complemented
36#3555—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic, complemented
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#554C2211yescharacteristic, complemented
45C2×#552C2212yescomplemented
46C2×#544C2212yescomplemented
47C2×#542C2212yes—
48C2×#541C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#541C2214yescomplemented
51C2×#533C2211yescharacteristic, complemented
52C2×#533C2211yescharacteristic, complemented
53C2×#529—216no—
54C2×#529C2211yescharacteristic
55C2×#529C2212yes—
56C2×#529C2211yescharacteristic
57C2×#529C2212yes—
58C2×#529C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yes—
61C2×#529C2211yescharacteristic
62C2×#529C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C22×#126C2212yes—
67C22×#125C2211yescharacteristic
68C22×#124C2211yescharacteristic
69C22×#123C2212yes—
70C22×C22⋊Q8C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C22×C4×Q8C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2212yes—
75C22×#117C2212yes—
76C23×C42C2211yescharacteristic
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2857C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2212yes—
82#2857C2211yescharacteristic, complemented
83#2857C2211yescharacteristic, complemented
84#2857C2211yescharacteristic, complemented
85#2857C2211yescharacteristic, complemented
86#2855C2211yescharacteristic, complemented
87#2855C2211yescharacteristic, complemented
88#2855C2212yescomplemented
89#2855C2212yescomplemented
90#2855C2212yescomplemented
91#2851C2212yes—
92#2851C2212yes—
93#2851C2212yes—
94#2851C2212yescomplemented
95#2851C2212yescomplemented
96#2848C2212yes—
97#2848C2211yescharacteristic
98#2848C2211yescharacteristic
99#2848C2212yes—
100#2848C2212yes—
101#2848C2212yes—
102#2848C2212yes—
103#2814C2214yescomplemented
104#2814C2214yescomplemented
105#2726C2214yescomplemented
106#2725C2214yescomplemented
107#2725C2214yescomplemented
108#2724C2214yescomplemented
109#2722C2214yescomplemented
110#2722C2214yescomplemented
111#2721C2214yescomplemented
112#2718C2214yescomplemented
113#2718C2214yescomplemented
114#2717C2214yescomplemented
115#2716C2214yescomplemented
116#2715C2214yescomplemented
117#2713C2214yescomplemented
118#2707C2214yescomplemented
119#2707C2214yescomplemented
120#2704C2214yescomplemented
121#2701C2214yes—
122#2700C2214yescomplemented
123#2698C2214yescomplemented
124#2698C2214yescomplemented
125#2695C2214yescomplemented
126#2695C2214yescomplemented
127#2691C2214yes—
128#2690C2214yescomplemented
129#2689C2214yescomplemented
130#2689C2214yescomplemented
131#2686C2214yes—
132#2680C2214yescomplemented
133#2680C2214yescomplemented
134#2674C2214yescomplemented
135#2674C2214yescomplemented
136#2672C2214yes—
137#2664C2214yescomplemented
138#2637C2214yescomplemented
139#2629C2212yescomplemented
140#2629C2212yescomplemented
141#2629C2212yescomplemented
142#2628C2212yescomplemented
143#2628C2212yescomplemented
144#2625C2212yescomplemented
145#2625C2212yescomplemented
146#2625C2212yescomplemented
147#2624C2212yes—
148#2621C2212yescomplemented
149#2621C2212yescomplemented
150#2620C2212yes—
151#2592C2212yescomplemented
152#2584C2212yescomplemented
153#2584C2212yescomplemented
154#2582C2212yescomplemented
155#2582C2211yescharacteristic, complemented
156#2582C2211yescharacteristic, complemented
157#2581C2212yescomplemented
158#2567C2211yescharacteristic, complemented
159#2567C2212yescomplemented
160#2565C2212yescomplemented
161#2563C2211yescharacteristic, complemented
162#2562C2212yescomplemented
163#2552C2212yescomplemented
164#2550C2212yescomplemented
165#2547C2211yescharacteristic, complemented
166#2547C2212yescomplemented
167#2547C2212yescomplemented
168#2546C2211yescharacteristic, complemented
169#2545C2212yescomplemented
170#2545C2212yescomplemented
171#2538C2212yescomplemented
172#2538C2211yescharacteristic, complemented
173#2538C2211yescharacteristic, complemented
174#2536C2212yescomplemented
175#2521C2214yescomplemented
176#2519C2214yescomplemented
177#2506C2214yescomplemented
178#2496C2214yescomplemented
179#2491C2212yes—
180#2489C2212yescomplemented
181#2487C2212yescomplemented
182#2486C2212yescomplemented
183#2485C2212yescomplemented
184#2485C2212yescomplemented
185#2485C2212yescomplemented
186#2485C2212yescomplemented
187#2480C2214yes—
188#2480C2214yes—
189#2480C2214yes—
190#2480C2214yes—
191#2480C2214yes—
192#2480C2214yes—
193#2478C2214yescomplemented
194#2478C2214yescomplemented
195#2478C2214yescomplemented
196#2475C2214yescomplemented
197#2475C2214yescomplemented
198#2474C2214yescomplemented
199#2473C2214yes—
200#2473C2214yes—
201#2473C2214yes—
202#2473C2214yes—
203#2469C2214yescomplemented
204#2468C2214yescomplemented
205#2466C2214yescomplemented
206#2466C2214yescomplemented
207#2466C2214yescomplemented
208#2462C2214yescomplemented
209#2462C2214yescomplemented
210#2460C2214yescomplemented
211#2454C2212yescomplemented
212#2453C2212yescomplemented
213#2453C2212yescomplemented
214#2451C2212yescomplemented
215#2451C2214yescomplemented
216#2450C2214yescomplemented
217#2448C2212yescomplemented
218#2447C2212yescomplemented
219#2447C2212yescomplemented
220#2447C2214yescomplemented
221#2446C2212yescomplemented
222#2442C2212yes—
223#2442C2214yes—
224#2441C2214yescomplemented
225#2440C2212yes—
226#2440C2214yes—
227#2440C2214yes—
228#2439C2214yescomplemented
229#2438C2214yescomplemented
230#2438C2214yescomplemented
231#2437C2214yes—
232#2437C2214yes—
233#2437C2214yes—
234#2435C2212yes—
235#2435C2214yes—
236#2434C2212yes—
237#2429C2212yescomplemented
238#2429C2212yescomplemented
239#2427C2212yes—
240#2426C2212yes—
241#2422C2212yes—
242#2421C2212yescomplemented
243#2419C2214yescomplemented
244#2417C2212yescomplemented
245#2417C2212yescomplemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2415C2212yescomplemented
249#2415C2212yescomplemented
250#2405C2214yes—
251#2376C2214yescomplemented
252#2370C2212yescomplemented
253#2367C2212yescomplemented
254#2367C2212yescomplemented
255#2367C2214yescomplemented
256#2365C2212yescomplemented
257#2360C2212yes—
258#2360C2212yes—
259#2360C2214yes—
260#2359C2214yescomplemented
261#2355C2211yescharacteristic, complemented
262#2354C2211yescharacteristic, complemented
263#2354C2212yescomplemented
264#2352C2212yescomplemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266Q8×C4⋊C4C2212yescomplemented
267#2349C2212yescomplemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269#2342C2214yes—
270Q8×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2334C2214yescomplemented
273#2324C2212yes—
274#2323C2212yescomplemented
275#2323C2212yescomplemented
276#2323C2212yescomplemented
277#2317C2212yescomplemented
278#2317C2212yescomplemented
279#2316C2212yescomplemented
280#2314C2212yescomplemented
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×C22⋊Q8C2212yescomplemented
293#2296C2212yescomplemented
294#2296C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297#2280C2212yes—
298#2280C2212yes—
299#2280C2212yes—
300C2×#380C2212yes—
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306C24×C4C2312yes—
307C24×C4C2311yescharacteristic
308#563—232no—
309Q82—28no—
310#557—216no—
311#557—28no—
312#556—216no—
313#556—216no—
314#556—28no—
315#554—28no—
316#552—216no—
317#544—216no—
318#542—216no—
319#541—232no—
320#541—216no—
321#541—216no—
322#533—28no—
323#533—28no—
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2314yes—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334#529—216no—
335#529—28no—
336#529—28no—
337#529—216no—
338#529—28no—
339#529—28no—
340#529—28no—
341#529—216no—
342#529—28no—
343#529—216no—
344#529—28no—
345#529D4116yes—
346C2×#126—216no—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#126C2312yes—
361C2×#125—28no—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2312yes—
373C2×#125C2314yes—
374C2×#125C2314yes—
375C2×#125C2314yes—
376C2×#125C2311yescharacteristic
377C2×#124—28no—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2314yes—
385C2×#124C2312yes—
386C2×#124C2314yes—
387C2×#124C2311yescharacteristic
388C2×#123—216no—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2312yes—
399C2×C22⋊Q8—28no—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×#121—28no—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×C4×Q8—28no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2314yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4—216no—
456C2×C4×D4—28no—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×#117—216no—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2314yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C22⋊C4C2312yes—
498C22×C22⋊C4C2312yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2314yes—
503C22×C42—28no—
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2311yescharacteristic
517#400C2314yes—
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2314yes—
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#391C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2312yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#384C2312yes—
760#384C2314yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2312yes—
764#384C2314yes—
765#384C2311yescharacteristic
766#384C2311yescharacteristic
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2314yes—
771#382C2312yes—
772#381C2314yes—
773#381C2314yes—
774#381C2312yes—
775#381C2312yes—
776#381C2314yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2311yescharacteristic
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#379C2312yes—
816#379C2314yes—
817#379C2312yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C2×#95C2314yes—
851C25C2411yescharacteristic
852C25C2412yes—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—42no—
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2411yescharacteristic
860C22×Q8C2412yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2412yes—
864C22×Q8C2414yes—
865C22×D4—28no—
866C22×D4—24no—
867C22×D4—24no—
868C22×D4—42no—
869C22×D4—44no—
870C22×D4—44no—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C23×C4—28no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—28no—
884C23×C4—24no—
885C23×C4—44no—
886C23×C4—42no—
887C23×C4—42no—
888C23×C4—42no—
889C23×C4—42no—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C23×C4C2411yescharacteristic
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C4⋊Q8—28no—
918C4⋊Q8—216no—
919C4⋊Q8—28no—
920C4⋊Q8—216no—
921C4⋊Q8—24no—
922C4⋊Q8—24no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—44no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—216no—
934#126—216no—
935#126—216no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—28no—
940#126C2×D4116yes—
941#125—24no—
942#125—28no—
943#125—24no—
944#125—28no—
945#125—216no—
946#125—216no—
947#125—216no—
948#125—28no—
949#125—216no—
950#125—216no—
951#125—24no—
952#125—28no—
953#125—28no—
954#125—28no—
955#125C2×D418yes—
956#124—24no—
957#124—24no—
958#124—28no—
959#124—216no—
960#124—28no—
961#124—28no—
962#124—24no—
963#124—44no—
964#124—48no—
965#124C2×D418yes—
966#123—28no—
967#123—216no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—48no—
975#123C2×D4116yes—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—48no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—42no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002C22⋊Q8—42no—
1003C22⋊Q8—44no—
1004C22⋊Q8C2×D418yes—
1005#121—24no—
1006#121—28no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121C2×D418yes—
1011C4×Q8—24no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—216no—
1016C4×Q8—28no—
1017C4×Q8—28no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—28no—
1027C4×Q8—44no—
1028C4×Q8C2×D418yes—
1029C4×D4—24no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—44no—
1043C4×D4C2×D4116yes—
1044C4×D4C2×D418yes—
1045#117—28no—
1046#117—28no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050#117—28no—
1051#117—28no—
1052#117—28no—
1053#117—216no—
1054#117—28no—
1055#117—28no—
1056#117—44no—
1057#117—44no—
1058#117—44no—
1059#117C2×D4116yes—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4—28no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—24no—
1064C2×C4⋊C4—28no—
1065C2×C4⋊C4—24no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—44no—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—28no—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—48no—
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⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C42—24no—
1209C2×C42—24no—
1210C2×C42—24no—
1211C2×C42—24no—
1212C2×C42—28no—
1213C2×C42—24no—
1214C2×C42—24no—
1215C2×C42—24no—
1216C2×C42—24no—
1217C2×C42—24no—
1218C2×C42—24no—
1219C2×C42—24no—
1220C2×C42C2×D418yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2414yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2414yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253#95C2412yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305C24—22no—
1306C24—22no—
1307C24—22no—
1308C24—24no—
1309C24—22no—
1310C24—22no—
1311C24—24no—
1312C24—24no—
1313C24—24no—
1314C24—41no—
1315C24—41no—
1316C24—42no—
1317C24—42no—
1318C24—42no—
1319C24C2512yes—
1320C24C2511yescharacteristic
1321C24C2512yes—
1322C24C2511yescharacteristic
1323C24C2511yescharacteristic
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—28no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—22no—
1343C2×Q8—42no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×Q8—44no—
1350C2×Q8—416no—
1351C2×Q8C22×D414yes—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—416no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—432no—
1373C2×D4C22×D414yes—
1374C2×D4C22×D418yes—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—42no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—416no—
1446C22×C4—432no—
1447C22×C4—416no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—416no—
1454C22×C4C22×D414yes—
1455C22×C4C22×D414yes—
1456C22×C4C22×D418yes—
1457C22×C4C22×D414yes—
1458C22×C42−1+414yes—
1459C22×C42−1+414yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2514yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2514yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4C22×D418yes—
1567C4⋊C4C22×D418yes—
1568C4⋊C4C22×D414yes—
1569C4⋊C4C22×D418yes—
1570C4⋊C4C22×D414yes—
1571C4⋊C4C22×D418yes—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4C22×D418yes—
1620C22⋊C4C22×D418yes—
1621C22⋊C4C22×D418yes—
1622C22⋊C4C22×D418yes—
1623C22⋊C4C22×D418yes—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—24no—
1637C42—24no—
1638C42—24no—
1639C42—28no—
1640C42—24no—
1641C42—24no—
1642C42—28no—
1643C42—28no—
1644C42—28no—
1645C42—24no—
1646C42—24no—
1647C42—44no—
1648C42—44no—
1649C42—44no—
1650C42—44no—
1651C42C22×D414yes—
1652C42C22×D414yes—
1653C42C22×D414yes—
1654C42C22×D414yes—
1655C42C22×D418yes—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—28no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—22no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—44no—
1687C23—44no—
1688C23—44no—
1689C23—44no—
1690C23—48no—
1691C23—48no—
1692C23—48no—
1693C23—44no—
1694C23—44no—
1695C23—48no—
1696C23—84no—
1697C23—84no—
1698C23—84no—
1699C23C23×D414yes—
1700C23C23×D412yes—
1701C23C2×2−1+412yes—
1702C23C2×2−1+412yes—
1703C23#58512yes—
1704C23#58512yes—
1705C23C2611yescharacteristic
1706Q8—28no—
1707Q8—48no—
1708Q8—44no—
1709Q8—44no—
1710Q8—48no—
1711Q8—44no—
1712Q8—84no—
1713Q8—84no—
1714Q8—88no—
1715D4—28no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—48no—
1720D4—48no—
1721D4—44no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—28no—
1741C2×C4—216no—
1742C2×C4—28no—
1743C2×C4—28no—
1744C2×C4—28no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—44no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—88no—
1823C2×C4—164no—
1824C2×C4C23×D412yes—
1825C2×C4C23×D414yes—
1826C2×C4C23×D414yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D412yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C2×2−1+412yes—
1834C2×C4C2×2−1+412yes—
1835C2×C4C2×2−1+412yes—
1836C2×C4C2×2−1+412yes—
1837C2×C4#58512yes—
1838C2×C4#58512yes—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—24no—
1849C22—24no—
1850C22—22no—
1851C22—22no—
1852C22—24no—
1853C22—22no—
1854C22—416no—
1855C22—41no—
1856C22—41no—
1857C22—42no—
1858C22—41no—
1859C22—42no—
1860C22—41no—
1861C22—41no—
1862C22—42no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—816no—
1875C22#355514yescomplemented
1876C22C24×D411yescharacteristic
1877C22C22×2−1+411yescharacteristic
1878C22C22×2−1+411yescharacteristic
1879C22C2×#58511yescharacteristic
1880C22C2×#58511yescharacteristic
1881C22C2×#58511yescharacteristic
1882C22C2×#58511yescharacteristic
1883C4—22no—
1884C4—22no—
1885C4—24no—
1886C4—22no—
1887C4—22no—
1888C4—24no—
1889C4—22no—
1890C4—22no—
1891C4—24no—
1892C4—42no—
1893C4—42no—
1894C4—41no—
1895C4—41no—
1896C4—42no—
1897C4—42no—
1898C4—42no—
1899C4—42no—
1900C4—44no—
1901C4—41no—
1902C4—41no—
1903C4—42no—
1904C4—42no—
1905C4—44no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4—42no—
1910C4—44no—
1911C4#348914yes—
1912C4#348914yes—
1913C2—24no—
1914C2—42no—
1915C2—42no—
1916C2—44no—
1917C2—82no—
1918C2C2×#355511yescharacteristic
1919C2#6275211yescharacteristic
1920C2C2×#348911yescharacteristic
1921C2C2×#348911yescharacteristic
1922C2#6281111yescharacteristic
1923C2#6282711yescharacteristic
1924C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
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×#3555C2semidirect
3. #59154C2semidirect
4. #59148C2semidirect
5. #59082C2semidirect
6. #59069C2semidirect
7. #45771C2semidirect
8. #45456C2semidirect
9. #39127C2semidirect
10. #39125C2semidirect
11. #38923C2semidirect
12. #38921C2semidirect
13. #38051C2semidirect
14. #38048C2semidirect
15. #37807C2semidirect
16. #37799C2semidirect
17. #37796C2semidirect
18. #37727C2semidirect
20. #37663C2semidirect
21. #37633C2semidirect
22. #37622C2semidirect
23. #37378C2semidirect
24. #37281C2semidirect
25. #36625C2semidirect
26. #36625C2semidirect
27. #36545C2semidirect
28. Q8×C22⋊Q8C2semidirect
29. #36161C2semidirect
30. #36161C2semidirect
31. #36156C2semidirect
32. #36154C2semidirect
33. #35310C2semidirect
34. #35253C2semidirect
35. #34383C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
39. C2×#557C22semidirect
40. C2×#557C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#554C22semidirect
45. C2×#552C22semidirect
46. C2×#544C22semidirect
48. C2×#541C22semidirect
49. C2×#541C22semidirect
50. C2×#541C22semidirect
51. C2×#533C22semidirect
52. C2×#533C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2855C22semidirect
87. #2855C22semidirect
88. #2855C22semidirect
89. #2855C22semidirect
90. #2855C22semidirect
94. #2851C22semidirect
95. #2851C22semidirect
103. #2814C22semidirect
104. #2814C22semidirect
105. #2726C22semidirect
106. #2725C22semidirect
107. #2725C22semidirect
108. #2724C22semidirect
109. #2722C22semidirect
110. #2722C22semidirect
111. #2721C22semidirect
112. #2718C22semidirect
113. #2718C22semidirect
114. #2717C22semidirect
115. #2716C22semidirect
116. #2715C22semidirect
117. #2713C22semidirect
118. #2707C22semidirect
119. #2707C22semidirect
120. #2704C22semidirect
122. #2700C22semidirect
123. #2698C22semidirect
124. #2698C22semidirect
125. #2695C22semidirect
126. #2695C22semidirect
128. #2690C22semidirect
129. #2689C22semidirect
130. #2689C22semidirect
132. #2680C22semidirect
133. #2680C22semidirect
134. #2674C22semidirect
135. #2674C22semidirect
137. #2664C22semidirect
138. #2637C22semidirect
139. #2629C22semidirect
140. #2629C22semidirect
141. #2629C22semidirect
142. #2628C22semidirect
143. #2628C22semidirect
144. #2625C22semidirect
145. #2625C22semidirect
146. #2625C22semidirect
148. #2621C22semidirect
149. #2621C22semidirect
151. #2592C22semidirect
152. #2584C22semidirect
153. #2584C22semidirect
154. #2582C22semidirect
155. #2582C22semidirect
156. #2582C22semidirect
157. #2581C22semidirect
158. #2567C22semidirect
159. #2567C22semidirect
160. #2565C22semidirect
161. #2563C22semidirect
162. #2562C22semidirect
163. #2552C22semidirect
164. #2550C22semidirect
165. #2547C22semidirect
166. #2547C22semidirect
167. #2547C22semidirect
168. #2546C22semidirect
169. #2545C22semidirect
170. #2545C22semidirect
171. #2538C22semidirect
172. #2538C22semidirect
173. #2538C22semidirect
174. #2536C22semidirect
175. #2521C22semidirect
176. #2519C22semidirect
177. #2506C22semidirect
178. #2496C22semidirect
180. #2489C22semidirect
181. #2487C22semidirect
182. #2486C22semidirect
183. #2485C22semidirect
184. #2485C22semidirect
185. #2485C22semidirect
186. #2485C22semidirect
193. #2478C22semidirect
194. #2478C22semidirect
195. #2478C22semidirect
196. #2475C22semidirect
197. #2475C22semidirect
198. #2474C22semidirect
203. #2469C22semidirect
204. #2468C22semidirect
205. #2466C22semidirect
206. #2466C22semidirect
207. #2466C22semidirect
208. #2462C22semidirect
209. #2462C22semidirect
210. #2460C22semidirect
211. #2454C22semidirect
212. #2453C22semidirect
213. #2453C22semidirect
214. #2451C22semidirect
215. #2451C22semidirect
216. #2450C22semidirect
217. #2448C22semidirect
218. #2447C22semidirect
219. #2447C22semidirect
220. #2447C22semidirect
221. #2446C22semidirect
224. #2441C22semidirect
228. #2439C22semidirect
229. #2438C22semidirect
230. #2438C22semidirect
237. #2429C22semidirect
238. #2429C22semidirect
242. #2421C22semidirect
243. #2419C22semidirect
244. #2417C22semidirect
245. #2417C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
251. #2376C22semidirect
252. #2370C22semidirect
253. #2367C22semidirect
254. #2367C22semidirect
255. #2367C22semidirect
256. #2365C22semidirect
260. #2359C22semidirect
261. #2355C22semidirect
262. #2354C22semidirect
263. #2354C22semidirect
264. #2352C22semidirect
265. Q8×C4⋊C4C22semidirect
266. Q8×C4⋊C4C22semidirect
267. #2349C22semidirect
268. D4×C4⋊C4C22semidirect
272. #2334C22semidirect
274. #2323C22semidirect
275. #2323C22semidirect
276. #2323C22semidirect
277. #2317C22semidirect
278. #2317C22semidirect
279. #2316C22semidirect
280. #2314C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
293. #2296C22semidirect
294. #2296C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
1875. C22#3555semidirect

Maximal subgroups

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

subgroupindex
C2×#35552
C22×#5292
#591542
#591482
#590822
#590692
#457712
#454562
#391272
#391252
#389232
#389212
#380512
#380482
#378072
#377992
#377962
#377272
#376642
#376632
#376332
#376222
#373782
#372812
#366252
#365452
Q8×C22⋊Q82
#361612
#361562
#361542
#353102
#352532
#343832