Finite Group Databasebeta

← #7638594

Subgroups — #7638594

Order 512.

7196 conjugacy classes of subgroups.

The subgroup lattice has 1950 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×#41C211yesmaximal, characteristic, complemented
2C2×#3444C211yesmaximal, characteristic
3#52166C214yesmaximal, complemented
4#52166C214yesmaximal, complemented
5#39880C212yesmaximal, complemented
6#39877C212yesmaximal, complemented
7#39859C212yesmaximal, complemented
8#39855C212yesmaximal, complemented
9#39724C211yesmaximal, characteristic, complemented
10#39597C211yesmaximal, characteristic, complemented
11#39470C211yesmaximal, characteristic, complemented
12#39343C211yesmaximal, characteristic, complemented
13#39139C211yesmaximal, characteristic, complemented
14#39125C211yesmaximal, characteristic, complemented
15#38921C211yesmaximal, characteristic, complemented
16#38911C211yesmaximal, characteristic, complemented
17#38363C214yesmaximal, complemented
18#38359C214yesmaximal, complemented
19#38040C212yesmaximal, complemented
20#38027C212yesmaximal, complemented
21#37838C212yesmaximal, complemented
22#37651C212yesmaximal, complemented
23#36625C211yesmaximal, characteristic, complemented
24#34979C212yesmaximal, complemented
25#34971C212yesmaximal, complemented
26#34952C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28#34938C212yesmaximal, complemented
29#34813C212yesmaximal, complemented
30#34744C212yesmaximal, complemented
31#34742C212yesmaximal, complemented
32#34627C212yesmaximal, complemented
33#34121C211yesmaximal, characteristic, complemented
34C4×#536C212yesmaximal, complemented
35C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
36Q8×#41—216no—
37C2×Q82C2211yescharacteristic, complemented
38C2×#557C2211yescharacteristic, complemented
39C2×#557C2212yescomplemented
40C2×#554C2212yes—
41C2×#554C2214yes—
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2212yescomplemented
44C2×D4×Q8C2212yes—
45C2×D4×Q8C2211yescharacteristic, complemented
46C2×#536C2212yes—
47#3444—216no—
48C2×#533C2211yescharacteristic
49C2×#533C2211yescharacteristic
50C2×#533C2211yescharacteristic
51C2×#533C2212yes—
52C2×#533C2211yescharacteristic
53C2×#533C2212yescomplemented
54C2×#533C2214yescomplemented
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#532C2211yescharacteristic
58C2×#529C2211yescharacteristic
59C2×#529C2212yes—
60C2×#529C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2212yes—
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C2×#525C2212yes—
67C2×#525C2211yescharacteristic
68C2×#525C2212yes—
69C2×#525C2211yescharacteristic
70C22×C22⋊Q8C2211yescharacteristic
71C2×C4×#41C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2212yes—
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77C22×C4×Q8C2212yescomplemented
78C23×C42C2211yescharacteristic
79#2857C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2855C2212yes—
84#2855C2212yes—
85#2851C2212yes—
86#2851C2212yes—
87#2848C2212yes—
88#2848C2212yes—
89#2721C2214yescomplemented
90#2721C2214yescomplemented
91#2719C2214yescomplemented
92#2719C2214yescomplemented
93#2716C2214yescomplemented
94#2716C2214yescomplemented
95#2713C2214yescomplemented
96#2713C2214yescomplemented
97#2700C2214yescomplemented
98#2700C2214yescomplemented
99#2698C2214yescomplemented
100#2698C2214yescomplemented
101#2694C2214yes—
102#2694C2214yes—
103#2690C2214yes—
104#2690C2214yes—
105#2689C2214yescomplemented
106#2689C2214yescomplemented
107#2687C2214yes—
108#2687C2214yes—
109#2681C2214yes—
110#2681C2214yes—
111#2680C2214yes—
112#2680C2214yes—
113#2677C2214yes—
114#2677C2214yes—
115#2674C2214yes—
116#2674C2214yes—
117#2674C2214yescomplemented
118#2674C2214yescomplemented
119#2672C2214yes—
120#2672C2214yes—
121#2638C2214yes—
122#2638C2214yescomplemented
123#2634C2214yescomplemented
124#2633C2214yes—
125#2628C2212yes—
126#2628C2212yescomplemented
127#2625C2212yescomplemented
128#2625C2212yescomplemented
129#2621C2212yes—
130#2621C2212yescomplemented
131#2616C2212yes—
132#2616C2212yes—
133#2611C2214yes—
134#2611C2214yescomplemented
135#2599C2214yes—
136#2599C2214yescomplemented
137#2582C2211yescharacteristic, complemented
138#2582C2211yescharacteristic, complemented
139#2581C2212yescomplemented
140#2581C2212yescomplemented
141#2581C2212yescomplemented
142#2580C2212yescomplemented
143#2579C2214yes—
144#2568C2211yescharacteristic, complemented
145#2568C2212yescomplemented
146#2567C2211yescharacteristic, complemented
147#2566C2212yescomplemented
148#2565C2212yescomplemented
149#2564C2214yes—
150#2563C2211yescharacteristic, complemented
151#2552C2212yescomplemented
152#2552C2212yescomplemented
153#2551C2212yescomplemented
154#2551C2212yescomplemented
155#2550C2212yescomplemented
156#2550C2212yescomplemented
157#2550C2212yescomplemented
158#2550C2212yescomplemented
159#2549C2214yes—
160#2549C2214yes—
161#2547C2212yes—
162#2546C2212yescomplemented
163#2542C2212yes—
164#2542C2211yescharacteristic, complemented
165#2538C2211yescharacteristic, complemented
166#2538C2211yescharacteristic, complemented
167#2536C2212yes—
168#2536C2212yes—
169#2499C2214yescomplemented
170#2492C2212yes—
171#2492C2212yes—
172#2491C2212yes—
173#2491C2212yes—
174#2490C2212yes—
175#2490C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2488C2214yes—
179#2488C2214yes—
180#2487C2212yes—
181#2486C2212yes—
182#2486C2212yescomplemented
183#2484C2214yescomplemented
184#2472C2214yes—
185#2472C2214yes—
186#2448C2212yescomplemented
187#2448C2212yescomplemented
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2446C2212yescomplemented
191#2446C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2444C2214yes—
195#2444C2214yes—
196#2443C2214yes—
197#2443C2214yes—
198#2440C2214yes—
199#2440C2214yes—
200#2432C2214yes—
201#2423C2212yes—
202#2423C2212yes—
203#2422C2212yes—
204#2422C2212yes—
205#2421C2212yes—
206#2421C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2419C2214yes—
210#2419C2214yes—
211#2418C2214yes—
212#2418C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yescomplemented
218#2415C2212yescomplemented
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yescomplemented
222#2406C2214yes—
223#2399C2214yescomplemented
224#2399C2214yescomplemented
225#2398C2214yes—
226#2398C2214yes—
227#2396C2214yescomplemented
228#2396C2214yescomplemented
229#2395C2214yes—
230#2395C2214yes—
231#2395C2214yescomplemented
232#2395C2214yescomplemented
233#2357C2212yescomplemented
234#2356C2212yescomplemented
235#2355C2211yescharacteristic, complemented
236#2355C2211yescharacteristic, complemented
237#2354C2211yescharacteristic, complemented
238#2354C2211yescharacteristic, complemented
239#2353C2214yes—
240#2352C2212yes—
241#2352C2212yes—
242#2327C2214yescomplemented
243#2326C2214yes—
244#2323C2212yes—
245#2323C2212yes—
246#2323C2212yescomplemented
247#2323C2212yescomplemented
248#2322C2214yes—
249#2322C2214yescomplemented
250#2317C2212yescomplemented
251#2311C2212yes—
252#2310C2212yescomplemented
253C4×C4⋊Q8C2214yescomplemented
254C4×C4⋊Q8C2214yescomplemented
255C4×#124C2214yes—
256C4×#124C2214yes—
257C4×C22⋊Q8C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×C22⋊Q8C2212yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×#123C2214yes—
278C4×#123C2214yes—
279C4×#123C2214yescomplemented
280C4×#123C2214yescomplemented
281#2298C2214yescomplemented
282#2297C2212yes—
283#2297C2212yes—
284#2297C2212yes—
285#2296C2212yes—
286#2296C2212yes—
287C2×#391C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#387C2212yes—
290C2×#385C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2283C2212yescomplemented
294#2280C2212yes—
295C2×#380C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4×C4⋊C4C2212yes—
300C2×C4×C22⋊C4C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×Q8C2311yescharacteristic
307C24×C4C2311yescharacteristic
308C24×C4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310Q82—28no—
311#557—28no—
312#557—216no—
313#554—232no—
314#554—216no—
315#554—216no—
316#554—28no—
317D4×Q8—216no—
318D4×Q8—28no—
319#536—216no—
320#533—28no—
321#533—28no—
322#533—28no—
323#533—216no—
324#533—232no—
325#533—28no—
326#533—216no—
327#532—28no—
328#532—28no—
329#532—28no—
330C2×C4⋊Q8C2314yes—
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2314yes—
336C2×C4⋊Q8C2314yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×#127C2311yescharacteristic
344#529—28no—
345#529—28no—
346#529—216no—
347#529—216no—
348#529—28no—
349#529—28no—
350#529—216no—
351#529—216no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2314yes—
372#525—28no—
373#525—216no—
374#525—216no—
375#525—28no—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×C22⋊Q8—28no—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#120C2312yes—
429C2×#120C2312yes—
430C4×#41—216no—
431C4×#41—28no—
432C4×#41—216no—
433C4×#41—216no—
434C4×#41D4116yes—
435C2×C4×Q8—28no—
436C2×C4×Q8—216no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2314yes—
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2314yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
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×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C42—28no—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2314yes—
523C22×C42C2312yes—
524C22×C42C2312yes—
525C22×C42C2311yescharacteristic
526C22×C42C2312yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#400C2314yes—
531#400C2314yes—
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#400C2314yes—
536#400C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#395C2314yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#393C2314yes—
605#393C2314yes—
606#393C2314yes—
607#391C2314yes—
608#391C2314yes—
609#391C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2314yes—
618#391C2311yescharacteristic
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2311yescharacteristic
630#391C2314yes—
631#391C2312yes—
632#391C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2314yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
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#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#384C2314yes—
754#384C2314yes—
755#384C2312yes—
756#384C2312yes—
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#383C2314yes—
760#382C2312yes—
761#382C2312yes—
762#382C2314yes—
763#382C2314yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2311yescharacteristic
797#379C2314yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845#376C2314yes—
846#376C2314yes—
847C2×#95C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C43C2314yes—
853C25C2411yescharacteristic
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41C2×D418yes—
866C22×Q8—24no—
867C22×Q8—28no—
868C22×Q8—24no—
869C22×Q8—28no—
870C22×Q8—42no—
871C22×Q8—44no—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—42no—
900C23×C4—42no—
901C23×C4—42no—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2414yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—24no—
935C4⋊Q8—28no—
936C4⋊Q8—216no—
937C4⋊Q8—28no—
938C4⋊Q8—216no—
939C4⋊Q8—216no—
940C4⋊Q8—24no—
941C4⋊Q8—28no—
942C4⋊Q8—24no—
943C4⋊Q8—28no—
944C4⋊Q8—48no—
945#127—24no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#125—28no—
951#125—28no—
952#125—24no—
953#125—24no—
954#125—28no—
955#125—28no—
956#125—216no—
957#125—216no—
958#125—28no—
959#125—216no—
960#124—24no—
961#124—24no—
962#124—28no—
963#124—28no—
964#124—216no—
965#124—48no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—216no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—216no—
974#123—48no—
975#123—48no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—216no—
997C22⋊Q8—216no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—28no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—44no—
1007C22⋊Q8—44no—
1008C22⋊Q8#4118yescomplemented
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—24no—
1014#121—24no—
1015#121—28no—
1016#121—28no—
1017#120—28no—
1018#120—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—216no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—24no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—216no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—28no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—216no—
1040C4×Q8C2×D418yes—
1041C4×Q8C2×D418yes—
1042C4×D4—216no—
1043C4×D4—28no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4C2×D4116yes—
1063C4×D4C2×D4116yes—
1064C4×D4C2×D418yes—
1065C4×D4C2×D418yes—
1066#117—24no—
1067#117—28no—
1068#117—28no—
1069#117—216no—
1070#117—28no—
1071#117—28no—
1072#117—28no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—28no—
1078#117—44no—
1079#117C2×D418yes—
1080#117C2×D4116yes—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—216no—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—42no—
1088C2×C4⋊C4—44no—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—44no—
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⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C42—216no—
1211C2×C42—28no—
1212C2×C42—24no—
1213C2×C42—24no—
1214C2×C42—24no—
1215C2×C42—28no—
1216C2×C42—28no—
1217C2×C42—24no—
1218C2×C42—24no—
1219C2×C42—24no—
1220C2×C42—24no—
1221C2×C42—24no—
1222C2×C42—24no—
1223C2×C42—24no—
1224C2×C42—24no—
1225C2×C42C2×D4116yes—
1226C2×C42C2×D418yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2412yes—
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—22no—
1323C24—22no—
1324C24—41no—
1325C24—41no—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2511yescharacteristic
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331#41—232no—
1332#41—432no—
1333#41—432no—
1334#41—416no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—22no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—28no—
1345C2×Q8—24no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—28no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—22no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—24no—
1358C2×Q8—44no—
1359C2×Q8—42no—
1360C2×Q8—42no—
1361C2×Q8—42no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8—44no—
1365C2×Q8—44no—
1366C2×Q8—416no—
1367C2×Q8—432no—
1368C2×Q8C22×D414yes—
1369C2×Q8C2×#4114yes—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—24no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4C22×D418yes—
1399C2×D4C22×D414yes—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—28no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—42no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—41no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—42no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—416no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—416no—
1483C22×C4—416no—
1484C22×C4C22×D418yes—
1485C22×C4C22×D414yes—
1486C22×C4C22×D418yes—
1487C22×C4C22×D414yes—
1488C22×C4C22×D418yes—
1489C22×C4C22×D414yes—
1490C22×C4C2×#4114yes—
1491C22×C42−1+414yes—
1492C22×C42−1+414yes—
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2514yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2514yes—
1506C22×C4C2512yes—
1507C22×C4C2514yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—24no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—28no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—28no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4C22×D414yes—
1591C4⋊C4C22×D414yes—
1592C4⋊C4C22×D418yes—
1593C4⋊C4C22×D418yes—
1594C4⋊C4C2×#4114yes—
1595C4⋊C4C2×#4118yes—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4C22×D418yes—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C2×#4118yes—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—24no—
1649C42—22no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—24no—
1656C42—24no—
1657C42—24no—
1658C42—28no—
1659C42—24no—
1660C42—28no—
1661C42—24no—
1662C42—28no—
1663C42—24no—
1664C42—28no—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—24no—
1669C42—28no—
1670C42—44no—
1671C42—44no—
1672C42—44no—
1673C42C22×D414yes—
1674C42C22×D414yes—
1675C42C22×D414yes—
1676C42C22×D414yes—
1677C42C22×D418yes—
1678C42C22×D418yes—
1679C42C22×D418yes—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—28no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—44no—
1711C23—44no—
1712C23—44no—
1713C23—44no—
1714C23—44no—
1715C23—44no—
1716C23C23×D414yes—
1717C23C23×D412yes—
1718C23C22×#4112yes—
1719C23C2×2−1+412yes—
1720C23C2×2−1+412yes—
1721C23#58512yes—
1722C23C2611yescharacteristic
1723Q8—28no—
1724Q8—28no—
1725Q8—48no—
1726Q8—416no—
1727Q8—48no—
1728Q8—48no—
1729Q8—44no—
1730Q8—44no—
1731Q8—48no—
1732Q8—84no—
1733Q8—88no—
1734D4—216no—
1735D4—28no—
1736D4—48no—
1737D4—48no—
1738D4—48no—
1739D4—48no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—44no—
1744C2×C4—28no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—216no—
1766C2×C4—28no—
1767C2×C4—28no—
1768C2×C4—216no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—24no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—44no—
1821C2×C4—48no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—48no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—48no—
1830C2×C4—416no—
1831C2×C4—44no—
1832C2×C4—48no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—44no—
1840C2×C4—48no—
1841C2×C4—84no—
1842C2×C4—84no—
1843C2×C4—88no—
1844C2×C4#536116yescomplemented
1845C2×C4C23×D412yes—
1846C2×C4C23×D414yes—
1847C2×C4C23×D412yes—
1848C2×C4C23×D412yes—
1849C2×C4C23×D414yes—
1850C2×C4C23×D414yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C22×#4114yes—
1855C2×C4C22×#4114yes—
1856C2×C4C22×#4112yes—
1857C2×C4C22×#4112yes—
1858C2×C4C2×2−1+412yes—
1859C2×C4C2×2−1+412yes—
1860C2×C4C2×2−1+412yes—
1861C2×C4C2×2−1+412yes—
1862C2×C4#58512yes—
1863C2×C4#58512yes—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—24no—
1876C22—24no—
1877C22—24no—
1878C22—22no—
1879C22—416no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22C2×#53614yes—
1900C22C24×D411yescharacteristic
1901C22C23×#4111yescharacteristic
1902C22C22×2−1+411yescharacteristic
1903C22C22×2−1+411yescharacteristic
1904C22C2×#58511yescharacteristic
1905C22C2×#58511yescharacteristic
1906C22C2×#58511yescharacteristic
1907C4—24no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—24no—
1912C4—24no—
1913C4—22no—
1914C4—22no—
1915C4—24no—
1916C4—24no—
1917C4—42no—
1918C4—42no—
1919C4—44no—
1920C4—44no—
1921C4—42no—
1922C4—41no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—44no—
1927C4—41no—
1928C4—41no—
1929C4—42no—
1930C4—41no—
1931C4—42no—
1932C4—42no—
1933C4—44no—
1934C4C2×#53614yes—
1935C4C2×#53614yes—
1936C4D4×#4114yes—
1937C2—24no—
1938C2—44no—
1939C2—42no—
1940C2—42no—
1941C2—82no—
1942C2C22×#53611yescharacteristic
1943C2C2×D4×#4111yescharacteristic
1944C2#6275211yescharacteristic
1945C2#6276111yescharacteristic
1946C2#6278811yescharacteristic
1947C2#6280511yescharacteristic
1948C2#6281111yescharacteristic
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3444C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×Q8×#41C2semidirect
3. #52166C2semidirect
4. #52166C2semidirect
5. #39880C2semidirect
6. #39877C2semidirect
7. #39859C2semidirect
8. #39855C2semidirect
9. #39724C2semidirect
10. #39597C2semidirect
11. #39470C2semidirect
12. #39343C2semidirect
13. #39139C2semidirect
14. #39125C2semidirect
15. #38921C2semidirect
16. #38911C2semidirect
17. #38363C2semidirect
18. #38359C2semidirect
19. #38040C2semidirect
20. #38027C2semidirect
21. #37838C2semidirect
22. #37651C2semidirect
23. #36625C2semidirect
24. #34979C2semidirect
25. #34971C2semidirect
26. #34952C2semidirect
27. #34947C2semidirect
28. #34938C2semidirect
29. #34813C2semidirect
30. #34744C2semidirect
31. #34742C2semidirect
32. #34627C2semidirect
33. #34121C2semidirect
34. C4×#536C2semidirect
35. C2×C4×C22⋊Q8C2semidirect
37. C2×Q82C22semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
45. C2×D4×Q8C22semidirect
53. C2×#533C22semidirect
54. C2×#533C22semidirect
77. C22×C4×Q8C22semidirect
89. #2721C22semidirect
90. #2721C22semidirect
91. #2719C22semidirect
92. #2719C22semidirect
93. #2716C22semidirect
94. #2716C22semidirect
95. #2713C22semidirect
96. #2713C22semidirect
97. #2700C22semidirect
98. #2700C22semidirect
99. #2698C22semidirect
100. #2698C22semidirect
105. #2689C22semidirect
106. #2689C22semidirect
117. #2674C22semidirect
118. #2674C22semidirect
122. #2638C22semidirect
123. #2634C22semidirect
126. #2628C22semidirect
127. #2625C22semidirect
128. #2625C22semidirect
130. #2621C22semidirect
134. #2611C22semidirect
136. #2599C22semidirect
137. #2582C22semidirect
138. #2582C22semidirect
139. #2581C22semidirect
140. #2581C22semidirect
141. #2581C22semidirect
142. #2580C22semidirect
144. #2568C22semidirect
145. #2568C22semidirect
146. #2567C22semidirect
147. #2566C22semidirect
148. #2565C22semidirect
150. #2563C22semidirect
151. #2552C22semidirect
152. #2552C22semidirect
153. #2551C22semidirect
154. #2551C22semidirect
155. #2550C22semidirect
156. #2550C22semidirect
157. #2550C22semidirect
158. #2550C22semidirect
162. #2546C22semidirect
164. #2542C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
169. #2499C22semidirect
182. #2486C22semidirect
183. #2484C22semidirect
186. #2448C22semidirect
187. #2448C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
221. #2409C22semidirect
223. #2399C22semidirect
224. #2399C22semidirect
227. #2396C22semidirect
228. #2396C22semidirect
231. #2395C22semidirect
232. #2395C22semidirect
233. #2357C22semidirect
234. #2356C22semidirect
235. #2355C22semidirect
236. #2355C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
242. #2327C22semidirect
246. #2323C22semidirect
247. #2323C22semidirect
249. #2322C22semidirect
250. #2317C22semidirect
252. #2310C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×C4⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
281. #2298C22semidirect
293. #2283C22semidirect
297. C4×#117C22semidirect
1008. C22⋊Q8#41semidirect
1844. C2×C4#536semidirect

Maximal subgroups

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

subgroupindex
C2×Q8×#412
C2×#34442
#521662
#398802
#398772
#398592
#398552
#397242
#395972
#394702
#393432
#391392
#391252
#389212
#389112
#383632
#383592
#380402
#380272
#378382
#376512
#366252
#349792
#349712
#349522
#349472
#349382
#348132
#347442
#347422
#346272
#341212
C4×#5362
C2×C4×C22⋊Q82