Finite Group Databasebeta

← #7713187

Subgroups — #7713187

Order 512.

7334 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3536C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3#48785C214yesmaximal, complemented
4#47865C214yesmaximal, complemented
5#47862C214yesmaximal, complemented
6#47839C214yesmaximal, complemented
7#46832C214yesmaximal, complemented
8#46825C214yesmaximal, complemented
9#46380C214yesmaximal, complemented
10#46366C214yesmaximal, complemented
11#39588C212yesmaximal, complemented
12#39466C212yesmaximal, complemented
13#39117C212yesmaximal, complemented
14#38918C212yesmaximal, complemented
15#38038C212yesmaximal, complemented
16#38036C212yesmaximal, complemented
17#37832C212yesmaximal, complemented
18#37832C212yesmaximal, complemented
19#37452C211yesmaximal, characteristic, complemented
20#37441C211yesmaximal, characteristic, complemented
21#36970C211yesmaximal, characteristic, complemented
22#36966C211yesmaximal, characteristic, complemented
23#36960C211yesmaximal, characteristic, complemented
24#36957C211yesmaximal, characteristic, complemented
25#35091C211yesmaximal, characteristic, complemented
26#35031C211yesmaximal, characteristic, complemented
27#35010C211yesmaximal, characteristic, complemented
28#34988C211yesmaximal, characteristic, complemented
29#34985C211yesmaximal, characteristic, complemented
30#34982C211yesmaximal, characteristic, complemented
31#34379C211yesmaximal, characteristic, complemented
32#3536—216no—
33C2×#562C2212yescomplemented
34C2×#562C2212yescomplemented
35C2×#554C2212yescomplemented
36C2×#548C2212yescomplemented
37C2×#547C2212yescomplemented
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×#546C2212yescomplemented
41C2×#543C2211yescharacteristic
42C2×#543C2211yescharacteristic, complemented
43C2×#542C2212yescomplemented
44C2×#539C2212yescomplemented
45C2×#538—216no—
46C2×#538C2211yescharacteristic
47C2×#538C2214yes—
48C2×#538C2214yes—
49C2×#538C2214yes—
50C2×#538C2214yes—
51C2×#538C2211yescharacteristic, complemented
52C2×#537C2212yescomplemented
53C2×#537C2212yescomplemented
54C22×#126C2211yescharacteristic
55C22×#126C2211yescharacteristic
56C22×#124C2211yescharacteristic
57C22×#124C2211yescharacteristic
58C2×#525C2211yescharacteristic, complemented
59C22×#123C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic, complemented
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C23×C22⋊C4C2211yescharacteristic
71#2855C2212yescomplemented
72#2855C2211yescharacteristic, complemented
73#2855C2211yescharacteristic, complemented
74#2855C2211yescharacteristic, complemented
75#2854C2211yescharacteristic, complemented
76#2849C2212yescomplemented
77#2848C2211yescharacteristic
78#2848C2212yes—
79#2848C2211yescharacteristic
80#2848C2211yescharacteristic
81#2847C2211yescharacteristic
82#2846C2212yes—
83#2814C2214yescomplemented
84#2814C2212yescomplemented
85#2813C2212yescomplemented
86#2725C2214yescomplemented
87#2724C2214yescomplemented
88#2723C2214yescomplemented
89#2722C2214yescomplemented
90#2717C2214yescomplemented
91#2717C2214yescomplemented
92#2717C2214yescomplemented
93#2716C2214yescomplemented
94#2715C2214yescomplemented
95#2715C2214yescomplemented
96#2712C2214yescomplemented
97#2708C2214yescomplemented
98#2708C2214yescomplemented
99#2708C2214yescomplemented
100#2704C2214yescomplemented
101#2702C2214yescomplemented
102#2701C2214yescomplemented
103#2701C2214yescomplemented
104#2700C2214yescomplemented
105#2700C2214yescomplemented
106#2698C2214yescomplemented
107#2698C2214yescomplemented
108#2697C2214yescomplemented
109#2697C2214yescomplemented
110#2695C2214yescomplemented
111#2692C2214yescomplemented
112#2691C2214yescomplemented
113#2689C2214yescomplemented
114#2689C2214yescomplemented
115#2688C2214yescomplemented
116#2688C2214yescomplemented
117#2686C2214yescomplemented
118#2686C2214yescomplemented
119#2686C2214yescomplemented
120#2684C2214yescomplemented
121#2684C2214yescomplemented
122#2683C2214yescomplemented
123#2682C2214yescomplemented
124#2678C2214yescomplemented
125#2678C2214yescomplemented
126#2677C2214yescomplemented
127#2676C2214yescomplemented
128#2674C2214yescomplemented
129#2674C2214yescomplemented
130#2672C2214yescomplemented
131#2671C2214yescomplemented
132#2668C2214yescomplemented
133#2668C2214yescomplemented
134#2663C2212yescomplemented
135#2663C2212yescomplemented
136#2630C2214yescomplemented
137#2627C2211yescharacteristic, complemented
138#2627C2211yescharacteristic, complemented
139#2627C2211yescharacteristic, complemented
140#2627C2212yescomplemented
141#2626C2211yescharacteristic
142#2626C2211yescharacteristic
143#2626C2211yescharacteristic
144#2626C2212yes—
145#2626C2212yes—
146#2626C2212yes—
147#2623C2212yescomplemented
148#2622C2212yes—
149#2622C2212yescomplemented
150#2618C2211yescharacteristic, complemented
151#2618C2214yescomplemented
152#2617C2211yescharacteristic
153#2614C2212yescomplemented
154#2613C2212yes—
155#2613C2212yes—
156#2602C2214yescomplemented
157#2600C2214yescomplemented
158#2583C2212yescomplemented
159#2583C2212yescomplemented
160#2579C2212yescomplemented
161#2579C2212yescomplemented
162#2579C2214yescomplemented
163#2564C2214yescomplemented
164#2561C2212yes—
165#2561C2212yes—
166#2560C2214yescomplemented
167#2556C2214yescomplemented
168#2547C2214yescomplemented
169#2535C2214yescomplemented
170#2534C2212yes—
171#2534C2212yes—
172#2534C2214yescomplemented
173#2534C2214yescomplemented
174#2519C2214yescomplemented
175#2503C2212yescomplemented
176#2498C2212yescomplemented
177#2487C2212yescomplemented
178#2486C2212yescomplemented
179#2486C2214yescomplemented
180#2485C2212yescomplemented
181#2483C2212yes—
182#2483C2212yes—
183#2483C2212yescomplemented
184#2483C2212yescomplemented
185#2481C2214yescomplemented
186#2480C2214yescomplemented
187#2472C2214yescomplemented
188#2469C2214yescomplemented
189#2468C2214yescomplemented
190#2465C2214yescomplemented
191#2464C2214yescomplemented
192#2461C2214yescomplemented
193#2457C2214yescomplemented
194#2452C2214yescomplemented
195#2450C2214yescomplemented
196#2450C2214yescomplemented
197#2449C2214yescomplemented
198#2449C2214yescomplemented
199#2449C2214yescomplemented
200#2447C2214yescomplemented
201#2443C2214yescomplemented
202#2437C2214yescomplemented
203#2437C2214yescomplemented
204#2437C2214yescomplemented
205#2437C2214yescomplemented
206#2434C2212yescomplemented
207#2432C2214yescomplemented
208#2430C2212yescomplemented
209#2430C2214yescomplemented
210#2427C2214yescomplemented
211#2427C2214yescomplemented
212#2425C2214yescomplemented
213#2425C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2420C2214yescomplemented
218#2419C2214yescomplemented
219#2418C2214yescomplemented
220#2418C2214yescomplemented
221#2418C2214yescomplemented
222#2417C2212yescomplemented
223#2417C2212yescomplemented
224#2416C2214yescomplemented
225#2415C2212yescomplemented
226#2414C2212yescomplemented
227#2413C2214yescomplemented
228#2412C2212yes—
229#2412C2212yes—
230#2412C2212yescomplemented
231#2412C2212yescomplemented
232#2410C2212yes—
233#2410C2212yes—
234#2409C2212yescomplemented
235#2409C2212yescomplemented
236#2407C2212yescomplemented
237#2407C2214yescomplemented
238#2406C2214yescomplemented
239#2405C2212yes—
240#2405C2212yes—
241#2404C2214yescomplemented
242#2404C2214yescomplemented
243#2377C2214yescomplemented
244#2361C2214yescomplemented
245#2345C2212yescomplemented
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yescomplemented
249#2325C2214yescomplemented
250#2324C2214yescomplemented
251#2322C2212yescomplemented
252#2321C2212yes—
253#2321C2212yes—
254#2321C2212yes—
255#2315C2212yes—
256#2315C2211yescharacteristic
257#2315C2211yescharacteristic, complemented
258#2315C2212yescomplemented
259#2312C2211yescharacteristic
260#2312C2211yescharacteristic, complemented
261#2308C2212yes—
262#2308C2212yes—
263C4×#123C2212yescomplemented
264C4×#120C2212yes—
265C2×#385C2212yescomplemented
266#2280C2211yescharacteristic, complemented
267C2×#380C2211yescharacteristic, complemented
268C2×#379C2212yes—
269C26C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2311yescharacteristic, complemented
273C22×#41C2312yescomplemented
274C23×Q8C2311yescharacteristic
275C23×Q8C2311yescharacteristic, complemented
276C23×D4C2311yescharacteristic
277C23×D4C2311yescharacteristic
278C23×D4C2311yescharacteristic
279C23×D4C2311yescharacteristic
280C23×D4C2311yescharacteristic
281C23×D4C2311yescharacteristic
282C23×D4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284C24×C4C2311yescharacteristic
285C24×C4C2311yescharacteristic
286C24×C4C2311yescharacteristic
287#562—216no—
288#562—216no—
289#554—216no—
290#548—216no—
291#547—216no—
292#546—216no—
293#546—216no—
294#546—216no—
295#543—28no—
296#543—28no—
297#542—216no—
298#539—216no—
299#538—232no—
300#538—232no—
301#538—232no—
302#538—232no—
303#538—28no—
304#538—28no—
305#537—216no—
306#537—216no—
307C2×C4⋊Q8C2312yescomplemented
308C2×C4⋊Q8C2314yescomplemented
309C2×#126—28no—
310C2×#126—28no—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2312yescomplemented
317C2×#125C2312yescomplemented
318C2×#125C2312yescomplemented
319C2×#124—28no—
320C2×#124—28no—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yescomplemented
329C2×#124C2312yescomplemented
330#525—28no—
331C2×#123—28no—
332C2×#123—28no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2312yescomplemented
349C2×#123C2312yescomplemented
350C2×#123C2312yescomplemented
351C2×#123C2312yescomplemented
352C2×#123C2314yescomplemented
353C2×C22⋊Q8—28no—
354C2×C22⋊Q8—28no—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yescomplemented
372C2×C22⋊Q8C2312yescomplemented
373C2×C22⋊Q8C2311yescharacteristic, complemented
374C2×C22⋊Q8C2311yescharacteristic, complemented
375C2×C22⋊Q8C2311yescharacteristic, complemented
376C2×C22⋊Q8C2312yescomplemented
377C2×C22⋊Q8C2312yescomplemented
378C2×C22⋊Q8C2312yescomplemented
379C2×C22⋊Q8C2312yescomplemented
380C2×C22⋊Q8C2312yescomplemented
381C2×C22⋊Q8C2312yescomplemented
382C2×C22⋊Q8C2314yescomplemented
383C2×#121—28no—
384C2×#121—28no—
385C2×#121D4116yescomplemented
386C2×#121C2311yescharacteristic
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2311yescharacteristic, complemented
406C2×#121C2312yescomplemented
407C2×#121C2312yescomplemented
408C2×#121C2312yescomplemented
409C2×#121C2312yescomplemented
410C2×#120—28no—
411C2×#120—28no—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2312yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×C4×Q8C2312yescomplemented
424C2×C4×D4—28no—
425C2×C4×D4—28no—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yescomplemented
441C2×C4×D4C2312yescomplemented
442C2×C4×D4C2314yescomplemented
443C2×#117C2311yescharacteristic, complemented
444C2×#117C2312yescomplemented
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yescomplemented
452C22×C4⋊C4C2311yescharacteristic, complemented
453C22×C4⋊C4C2312yescomplemented
454C22×C4⋊C4C2312yescomplemented
455C22×C4⋊C4C2314yescomplemented
456C22×C22⋊C4—28no—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2314yes—
469C22×C22⋊C4C2314yes—
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2314yes—
478C22×C22⋊C4C2314yes—
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C42C2311yescharacteristic
482C22×C42C2311yescharacteristic
483#400C2314yescomplemented
484#400C2312yescomplemented
485#400C2312yescomplemented
486#400C2312yescomplemented
487#400C2314yescomplemented
488#400C2314yescomplemented
489#399C2314yes—
490#399C2312yes—
491#399C2312yes—
492#399C2314yes—
493#399C2314yes—
494#399C2312yes—
495#398C2314yescomplemented
496#398C2314yescomplemented
497#398C2314yescomplemented
498#398C2314yescomplemented
499#398C2314yescomplemented
500#398C2314yescomplemented
501#398C2314yescomplemented
502#398C2312yescomplemented
503#398C2314yescomplemented
504#398C2314yescomplemented
505#398C2314yescomplemented
506#397C2314yes—
507#397C2314yes—
508#397C2312yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yescomplemented
518#397C2314yescomplemented
519#397C2314yescomplemented
520#397C2314yescomplemented
521#397C2314yescomplemented
522#397C2314yescomplemented
523#397C2314yescomplemented
524#397C2314yescomplemented
525#397C2314yescomplemented
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yescomplemented
538#396C2314yescomplemented
539#396C2314yescomplemented
540#395C2314yescomplemented
541#395C2314yescomplemented
542#395C2314yescomplemented
543#395C2312yescomplemented
544#395C2312yescomplemented
545#395C2312yescomplemented
546#395C2314yescomplemented
547#395C2314yescomplemented
548#395C2314yescomplemented
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yescomplemented
567#394C2314yescomplemented
568#394C2312yescomplemented
569#394C2314yescomplemented
570#394C2314yescomplemented
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#393C2312yes—
576#393C2312yes—
577#393C2314yes—
578#393C2312yes—
579#393C2314yescomplemented
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2314yes—
586#392C2314yes—
587#391C2314yescomplemented
588#391C2312yescomplemented
589#391C2312yescomplemented
590#391C2312yescomplemented
591#391C2314yescomplemented
592#391C2314yescomplemented
593#391C2314yescomplemented
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yescomplemented
600#390C2312yescomplemented
601#389C2314yescomplemented
602#389C2314yescomplemented
603#389C2314yescomplemented
604#389C2314yescomplemented
605#389C2314yescomplemented
606#389C2314yescomplemented
607#389C2312yescomplemented
608#389C2312yescomplemented
609#389C2312yescomplemented
610#389C2312yescomplemented
611#389C2314yescomplemented
612#389C2314yescomplemented
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yescomplemented
628#388C2314yescomplemented
629#388C2314yescomplemented
630#388C2314yescomplemented
631#388C2314yescomplemented
632#387C2314yescomplemented
633#387C2314yescomplemented
634#387C2314yescomplemented
635#387C2314yescomplemented
636#387C2314yescomplemented
637#387C2314yescomplemented
638#387C2314yescomplemented
639#387C2314yescomplemented
640#387C2314yescomplemented
641#387C2314yescomplemented
642#387C2314yescomplemented
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yescomplemented
673#386C2314yescomplemented
674#386C2314yescomplemented
675#386C2314yescomplemented
676#386C2314yescomplemented
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yescomplemented
702#385C2314yescomplemented
703#385C2314yescomplemented
704#385C2314yescomplemented
705#385C2314yescomplemented
706#385C2314yescomplemented
707#385C2314yescomplemented
708#385C2314yescomplemented
709#385C2314yescomplemented
710#385C2314yescomplemented
711#385C2314yescomplemented
712#385C2314yescomplemented
713#382C2314yescomplemented
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yescomplemented
723#381C2312yescomplemented
724#381C2314yescomplemented
725#381C2314yescomplemented
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yescomplemented
743#380C2314yescomplemented
744#380C2312yescomplemented
745#380C2312yescomplemented
746#380C2314yescomplemented
747#380C2312yescomplemented
748#380C2314yescomplemented
749#380C2314yescomplemented
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2312yes—
754#379C2312yes—
755#379C2312yes—
756#379C2312yes—
757#379C2312yes—
758#379C2314yes—
759#379C2314yes—
760#379C2312yes—
761#379C2314yes—
762#379C2314yes—
763C4×C4⋊C4C2314yescomplemented
764C4×C4⋊C4C2314yescomplemented
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yescomplemented
770C4×C22⋊C4C2312yescomplemented
771C2×#95C2312yescomplemented
772C2×#95C2314yescomplemented
773C25—24no—
774C25—24no—
775C25—42no—
776C25—82no—
777C25—82no—
778C25C2411yescharacteristic
779C25C2414yes—
780C25C2411yescharacteristic
781C25C2411yescharacteristic
782C25C2411yescharacteristic
783C25C2411yescharacteristic
784C2×#41—28no—
785C2×#41—28no—
786C2×#41—28no—
787C2×#41—24no—
788C2×#41—84no—
789C2×#41—84no—
790C2×#41—82no—
791C2×#41—84no—
792C22×Q8—24no—
793C22×Q8—24no—
794C22×Q8—82no—
795C22×Q8—82no—
796C22×Q8C2412yes—
797C22×Q8C2411yescharacteristic
798C22×Q8C2411yescharacteristic
799C22×Q8C2412yes—
800C22×Q8C2411yescharacteristic
801C22×Q8C2414yes—
802C22×Q8C2412yes—
803C22×D4—24no—
804C22×D4—24no—
805C22×D4—24no—
806C22×D4—24no—
807C22×D4—24no—
808C22×D4—24no—
809C22×D4—42no—
810C22×D4—42no—
811C22×D4—82no—
812C22×D4—82no—
813C22×D4—82no—
814C22×D4—82no—
815C22×D4—82no—
816C22×D4C2×D418yes—
817C22×D4C2×D418yes—
818C22×D4C2×D418yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—82no—
845C23×C4—82no—
846C23×C4—82no—
847C23×C4—82no—
848C23×C4C2×D418yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C4⋊Q8—28no—
880C4⋊Q8—84no—
881#126—216no—
882#126—216no—
883#126—216no—
884#126—216no—
885#126—28no—
886#126—28no—
887#125—28no—
888#125—28no—
889#124—216no—
890#124—216no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—216no—
895#124—216no—
896#124—28no—
897#124—28no—
898#123—216no—
899#123—216no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—28no—
904#123—28no—
905#123—28no—
906#123—28no—
907#123—28no—
908#123—28no—
909#123—28no—
910#123—28no—
911#123—28no—
912#123—28no—
913#123—44no—
914#123—44no—
915#123—84no—
916#123—84no—
917#123—84no—
918C22⋊Q8—24no—
919C22⋊Q8—24no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—24no—
928C22⋊Q8—216no—
929C22⋊Q8—216no—
930C22⋊Q8—28no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—28no—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—28no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—82no—
942C22⋊Q8—82no—
943C22⋊Q8—84no—
944C22⋊Q8—82no—
945C22⋊Q8—84no—
946#121—216no—
947#121—216no—
948#121—216no—
949#121—216no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—28no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—24no—
960#121—24no—
961#121—28no—
962#121—28no—
963#121—84no—
964#121—84no—
965#121—82no—
966#121C2×D4116yes—
967#121C2×D4116yes—
968#121C2×D4116yes—
969#121C2×D4116yes—
970#120—28no—
971#120—28no—
972#120—28no—
973#120—28no—
974#120—216no—
975#120—216no—
976#120—216no—
977#120—216no—
978#120—44no—
979#120—84no—
980#120—84no—
981C4×Q8—28no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—216no—
994C4×D4—216no—
995C4×D4—84no—
996C4×D4—84no—
997C4×D4—84no—
998C4×D4—84no—
999#117—24no—
1000#117—82no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—24no—
1005C2×C4⋊C4—24no—
1006C2×C4⋊C4—28no—
1007C2×C4⋊C4—24no—
1008C2×C4⋊C4—28no—
1009C2×C4⋊C4—82no—
1010C2×C4⋊C4—84no—
1011C2×C4⋊C4C2×D418yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C22⋊C4—24no—
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—24no—
1065C2×C22⋊C4—24no—
1066C2×C22⋊C4—24no—
1067C2×C22⋊C4—24no—
1068C2×C22⋊C4—28no—
1069C2×C22⋊C4—28no—
1070C2×C22⋊C4—28no—
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—24no—
1076C2×C22⋊C4—24no—
1077C2×C22⋊C4—216no—
1078C2×C22⋊C4—216no—
1079C2×C22⋊C4—44no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4—84no—
1083C2×C22⋊C4—84no—
1084C2×C22⋊C4C2×D418yes—
1085C2×C22⋊C4C2×D418yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C42—24no—
1160C2×C42—24no—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—28no—
1218C24—28no—
1219C24—22no—
1220C24—22no—
1221C24—42no—
1222C24—42no—
1223C24—44no—
1224C24—44no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24—416no—
1237C24—816no—
1238C24—88no—
1239C24—88no—
1240C24—816no—
1241C24C22×D414yes—
1242C24C22×D414yes—
1243C24C22×D414yes—
1244C242−1+414yes—
1245C24C2512yes—
1246C24C2512yes—
1247C24C2512yes—
1248C24C2511yescharacteristic
1249C24C2512yes—
1250C24C2511yescharacteristic
1251C24C2512yes—
1252C24C2511yescharacteristic
1253#41—88no—
1254#41—816no—
1255#41—816no—
1256#41—816no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—28no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—44no—
1269C2×Q8—42no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8—88no—
1273C2×Q8—88no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—22no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—416no—
1320C2×D4—416no—
1321C2×D4—88no—
1322C2×D4—88no—
1323C2×D4—88no—
1324C2×D4—88no—
1325C2×D4—88no—
1326C2×D4C22×D418yes—
1327C2×D4C22×D418yes—
1328C2×D4C22×D418yes—
1329C2×D4C22×D418yes—
1330C2×D4C22×D418yes—
1331C2×D4C22×D418yes—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—28no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—88no—
1394C22×C4—88no—
1395C22×C4—88no—
1396C22×C4—88no—
1397C22×C4C22×D414yes—
1398C22×C4C22×D414yes—
1399C22×C4C22×D414yes—
1400C22×C4C22×D414yes—
1401C22×C4C22×D414yes—
1402C22×C4C22×D414yes—
1403C22×C4C22×D414yes—
1404C22×C4C22×D414yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2514yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4C22×D418yes—
1477C4⋊C4C22×D418yes—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4C22×D418yes—
1548C22⋊C4C22×D418yes—
1549C22⋊C4C22×D418yes—
1550C22⋊C4C22×D418yes—
1551C42—28no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—44no—
1558C42—44no—
1559C42—44no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—22no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—28no—
1585C23—28no—
1586C23—28no—
1587C23—28no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—24no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—48no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—416no—
1606C23—44no—
1607C23—44no—
1608C23—48no—
1609C23—44no—
1610C23—44no—
1611C23—416no—
1612C23—44no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—88no—
1622C23—88no—
1623C23—88no—
1624C23—88no—
1625C23—88no—
1626C23—864no—
1627C23C23×D414yes—
1628C23C23×D412yes—
1629C23C23×D414yes—
1630C23C23×D412yes—
1631C23C23×D412yes—
1632C23C2×2−1+414yes—
1633C23C2×2−1+412yes—
1634C23#58512yes—
1635C23C2611yescharacteristic
1636Q8—48no—
1637Q8—82no—
1638Q8—82no—
1639Q8—88no—
1640Q8—82no—
1641Q8—84no—
1642Q8—84no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—416no—
1651D4—48no—
1652D4—48no—
1653D4—48no—
1654D4—82no—
1655D4—88no—
1656D4—84no—
1657D4—84no—
1658D4—88no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—164no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—88no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—88no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—164no—
1743C2×C4—164no—
1744C2×C4C23×D414yes—
1745C2×C4C23×D412yes—
1746C2×C4C23×D412yes—
1747C2×C4C23×D412yes—
1748C2×C4C23×D414yes—
1749C2×C4C23×D412yes—
1750C22—22no—
1751C22—22no—
1752C22—24no—
1753C22—24no—
1754C22—24no—
1755C22—22no—
1756C22—24no—
1757C22—22no—
1758C22—24no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—22no—
1767C22—24no—
1768C22—24no—
1769C22—416no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—44no—
1776C22—44no—
1777C22—42no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—44no—
1789C22—44no—
1790C22—44no—
1791C22—44no—
1792C22—88no—
1793C22—88no—
1794C22—88no—
1795C22—88no—
1796C22—832no—
1797C22#348914yes—
1798C22C24×D411yescharacteristic
1799C22C22×2−1+411yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22H(7,𝔽2)12yes—
1802C22H(7,𝔽2)12yes—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—24no—
1808C4—24no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—44no—
1823C4—44no—
1824C4—44no—
1825C4—44no—
1826C2—24no—
1827C2—44no—
1828C2—42no—
1829C2—42no—
1830C2—44no—
1831C2—44no—
1832C2—82no—
1833C2—82no—
1834C2C2×#348911yescharacteristic
1835C2#6284211yescharacteristic
1836C2#6284211yescharacteristic
1837C2#6286412yes—
1838C2#6286712yes—
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×#3536C2semidirect
2. C22×#538C2semidirect
3. #48785C2semidirect
4. #47865C2semidirect
5. #47862C2semidirect
6. #47839C2semidirect
7. #46832C2semidirect
8. #46825C2semidirect
9. #46380C2semidirect
10. #46366C2semidirect
11. #39588C2semidirect
12. #39466C2semidirect
13. #39117C2semidirect
14. #38918C2semidirect
15. #38038C2semidirect
16. #38036C2semidirect
17. #37832C2semidirect
18. #37832C2semidirect
19. #37452C2semidirect
20. #37441C2semidirect
21. #36970C2semidirect
22. #36966C2semidirect
23. #36960C2semidirect
24. #36957C2semidirect
25. #35091C2semidirect
26. #35031C2semidirect
27. #35010C2semidirect
28. #34988C2semidirect
29. #34985C2semidirect
30. #34982C2semidirect
31. #34379C2semidirect
33. C2×#562C22semidirect
34. C2×#562C22semidirect
35. C2×#554C22semidirect
36. C2×#548C22semidirect
37. C2×#547C22semidirect
40. C2×#546C22semidirect
42. C2×#543C22semidirect
43. C2×#542C22semidirect
44. C2×#539C22semidirect
51. C2×#538C22semidirect
52. C2×#537C22semidirect
53. C2×#537C22semidirect
58. C2×#525C22semidirect
62. C22×C22⋊Q8C22semidirect
71. #2855C22semidirect
72. #2855C22semidirect
73. #2855C22semidirect
74. #2855C22semidirect
75. #2854C22semidirect
76. #2849C22semidirect
83. #2814C22semidirect
84. #2814C22semidirect
85. #2813C22semidirect
86. #2725C22semidirect
87. #2724C22semidirect
88. #2723C22semidirect
89. #2722C22semidirect
90. #2717C22semidirect
91. #2717C22semidirect
92. #2717C22semidirect
93. #2716C22semidirect
94. #2715C22semidirect
95. #2715C22semidirect
96. #2712C22semidirect
97. #2708C22semidirect
98. #2708C22semidirect
99. #2708C22semidirect
100. #2704C22semidirect
101. #2702C22semidirect
102. #2701C22semidirect
103. #2701C22semidirect
104. #2700C22semidirect
105. #2700C22semidirect
106. #2698C22semidirect
107. #2698C22semidirect
108. #2697C22semidirect
109. #2697C22semidirect
110. #2695C22semidirect
111. #2692C22semidirect
112. #2691C22semidirect
113. #2689C22semidirect
114. #2689C22semidirect
115. #2688C22semidirect
116. #2688C22semidirect
117. #2686C22semidirect
118. #2686C22semidirect
119. #2686C22semidirect
120. #2684C22semidirect
121. #2684C22semidirect
122. #2683C22semidirect
123. #2682C22semidirect
124. #2678C22semidirect
125. #2678C22semidirect
126. #2677C22semidirect
127. #2676C22semidirect
128. #2674C22semidirect
129. #2674C22semidirect
130. #2672C22semidirect
131. #2671C22semidirect
132. #2668C22semidirect
133. #2668C22semidirect
134. #2663C22semidirect
135. #2663C22semidirect
136. #2630C22semidirect
137. #2627C22semidirect
138. #2627C22semidirect
139. #2627C22semidirect
140. #2627C22semidirect
147. #2623C22semidirect
149. #2622C22semidirect
150. #2618C22semidirect
151. #2618C22semidirect
153. #2614C22semidirect
156. #2602C22semidirect
157. #2600C22semidirect
158. #2583C22semidirect
159. #2583C22semidirect
160. #2579C22semidirect
161. #2579C22semidirect
162. #2579C22semidirect
163. #2564C22semidirect
166. #2560C22semidirect
167. #2556C22semidirect
168. #2547C22semidirect
169. #2535C22semidirect
172. #2534C22semidirect
173. #2534C22semidirect
174. #2519C22semidirect
175. #2503C22semidirect
176. #2498C22semidirect
177. #2487C22semidirect
178. #2486C22semidirect
179. #2486C22semidirect
180. #2485C22semidirect
183. #2483C22semidirect
184. #2483C22semidirect
185. #2481C22semidirect
186. #2480C22semidirect
187. #2472C22semidirect
188. #2469C22semidirect
189. #2468C22semidirect
190. #2465C22semidirect
191. #2464C22semidirect
192. #2461C22semidirect
193. #2457C22semidirect
194. #2452C22semidirect
195. #2450C22semidirect
196. #2450C22semidirect
197. #2449C22semidirect
198. #2449C22semidirect
199. #2449C22semidirect
200. #2447C22semidirect
201. #2443C22semidirect
202. #2437C22semidirect
203. #2437C22semidirect
204. #2437C22semidirect
205. #2437C22semidirect
206. #2434C22semidirect
207. #2432C22semidirect
208. #2430C22semidirect
209. #2430C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2425C22semidirect
213. #2425C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2420C22semidirect
218. #2419C22semidirect
219. #2418C22semidirect
220. #2418C22semidirect
221. #2418C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
224. #2416C22semidirect
225. #2415C22semidirect
226. #2414C22semidirect
227. #2413C22semidirect
230. #2412C22semidirect
231. #2412C22semidirect
234. #2409C22semidirect
235. #2409C22semidirect
236. #2407C22semidirect
237. #2407C22semidirect
238. #2406C22semidirect
241. #2404C22semidirect
242. #2404C22semidirect
243. #2377C22semidirect
244. #2361C22semidirect
245. #2345C22semidirect
248. D4×C22⋊C4C22semidirect
249. #2325C22semidirect
250. #2324C22semidirect
251. #2322C22semidirect
257. #2315C22semidirect
258. #2315C22semidirect
260. #2312C22semidirect
263. C4×#123C22semidirect
265. C2×#385C22semidirect
266. #2280C22semidirect
267. C2×#380C22semidirect
272. C22×#41C23semidirect
273. C22×#41C23semidirect
275. C23×Q8C23semidirect
307. C2×C4⋊Q8C23semidirect
308. C2×C4⋊Q8C23semidirect
316. C2×#126C23semidirect
317. C2×#125C23semidirect
318. C2×#125C23semidirect
328. C2×#124C23semidirect
329. C2×#124C23semidirect
348. C2×#123C23semidirect
349. C2×#123C23semidirect
350. C2×#123C23semidirect
351. C2×#123C23semidirect
352. C2×#123C23semidirect
371. C2×C22⋊Q8C23semidirect
372. C2×C22⋊Q8C23semidirect
373. C2×C22⋊Q8C23semidirect
374. C2×C22⋊Q8C23semidirect
375. C2×C22⋊Q8C23semidirect
376. C2×C22⋊Q8C23semidirect
377. C2×C22⋊Q8C23semidirect
378. C2×C22⋊Q8C23semidirect
379. C2×C22⋊Q8C23semidirect
380. C2×C22⋊Q8C23semidirect
381. C2×C22⋊Q8C23semidirect
382. C2×C22⋊Q8C23semidirect
385. C2×#121D4semidirect
405. C2×#121C23semidirect
406. C2×#121C23semidirect
407. C2×#121C23semidirect
408. C2×#121C23semidirect
409. C2×#121C23semidirect
423. C2×C4×Q8C23semidirect
440. C2×C4×D4C23semidirect
441. C2×C4×D4C23semidirect
442. C2×C4×D4C23semidirect
443. C2×#117C23semidirect
444. C2×#117C23semidirect
451. C22×C4⋊C4C23semidirect
452. C22×C4⋊C4C23semidirect
453. C22×C4⋊C4C23semidirect
454. C22×C4⋊C4C23semidirect
455. C22×C4⋊C4C23semidirect
483. #400C23semidirect
484. #400C23semidirect
485. #400C23semidirect
486. #400C23semidirect
487. #400C23semidirect
488. #400C23semidirect
495. #398C23semidirect
496. #398C23semidirect
497. #398C23semidirect
498. #398C23semidirect
499. #398C23semidirect
500. #398C23semidirect
501. #398C23semidirect
502. #398C23semidirect
503. #398C23semidirect
504. #398C23semidirect
505. #398C23semidirect
517. #397C23semidirect
518. #397C23semidirect
519. #397C23semidirect
520. #397C23semidirect
521. #397C23semidirect
522. #397C23semidirect
523. #397C23semidirect
524. #397C23semidirect
525. #397C23semidirect
537. #396C23semidirect
538. #396C23semidirect
539. #396C23semidirect
540. #395C23semidirect
541. #395C23semidirect
542. #395C23semidirect
543. #395C23semidirect
544. #395C23semidirect
545. #395C23semidirect
546. #395C23semidirect
547. #395C23semidirect
548. #395C23semidirect
566. #394C23semidirect
567. #394C23semidirect
568. #394C23semidirect
569. #394C23semidirect
570. #394C23semidirect
579. #393C23semidirect
587. #391C23semidirect
588. #391C23semidirect
589. #391C23semidirect
590. #391C23semidirect
591. #391C23semidirect
592. #391C23semidirect
593. #391C23semidirect
599. #390C23semidirect
600. #390C23semidirect
601. #389C23semidirect
602. #389C23semidirect
603. #389C23semidirect
604. #389C23semidirect
605. #389C23semidirect
606. #389C23semidirect
607. #389C23semidirect
608. #389C23semidirect
609. #389C23semidirect
610. #389C23semidirect
611. #389C23semidirect
612. #389C23semidirect
627. #388C23semidirect
628. #388C23semidirect
629. #388C23semidirect
630. #388C23semidirect
631. #388C23semidirect
632. #387C23semidirect
633. #387C23semidirect
634. #387C23semidirect
635. #387C23semidirect
636. #387C23semidirect
637. #387C23semidirect
638. #387C23semidirect
639. #387C23semidirect
640. #387C23semidirect
641. #387C23semidirect
642. #387C23semidirect
672. #386C23semidirect
673. #386C23semidirect
674. #386C23semidirect
675. #386C23semidirect
676. #386C23semidirect
701. #385C23semidirect
702. #385C23semidirect
703. #385C23semidirect
704. #385C23semidirect
705. #385C23semidirect
706. #385C23semidirect
707. #385C23semidirect
708. #385C23semidirect
709. #385C23semidirect
710. #385C23semidirect
711. #385C23semidirect
712. #385C23semidirect
713. #382C23semidirect
722. #381C23semidirect
723. #381C23semidirect
724. #381C23semidirect
725. #381C23semidirect
742. #380C23semidirect
743. #380C23semidirect
744. #380C23semidirect
745. #380C23semidirect
746. #380C23semidirect
747. #380C23semidirect
748. #380C23semidirect
749. #380C23semidirect
763. C4×C4⋊C4C23semidirect
764. C4×C4⋊C4C23semidirect
769. C4×C22⋊C4C23semidirect
770. C4×C22⋊C4C23semidirect
771. C2×#95C23semidirect
772. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
C2×#35362
C22×#5382
#487852
#478652
#478622
#478392
#468322
#468252
#463802
#463662
#395882
#394662
#391172
#389182
#380382
#380362
#378322
#374522
#374412
#369702
#369662
#369602
#369572
#350912
#350312
#350102
#349882
#349852
#349822
#343792