Finite Group Databasebeta

← #7655071

Subgroups — #7655071

Order 512.

6780 conjugacy classes of subgroups.

The subgroup lattice has 2052 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42301C214yesmaximal, complemented
4#40530C214yesmaximal, complemented
5#40518C214yesmaximal, complemented
6#39874C214yesmaximal, complemented
7#39613C211yesmaximal, characteristic, complemented
8#39612C211yesmaximal, characteristic, complemented
9#39164C211yesmaximal, characteristic, complemented
10#39161C211yesmaximal, characteristic, complemented
11#38384C214yesmaximal, complemented
12#38369C214yesmaximal, complemented
13#38093C211yesmaximal, characteristic, complemented
14#38089C211yesmaximal, characteristic, complemented
15#38083C211yesmaximal, characteristic, complemented
16#38079C211yesmaximal, characteristic, complemented
17#37870C211yesmaximal, characteristic, complemented
18#37868C211yesmaximal, characteristic, complemented
19#37864C211yesmaximal, characteristic, complemented
20#37862C211yesmaximal, characteristic, complemented
21#37545C211yesmaximal, characteristic, complemented
22#37542C211yesmaximal, characteristic, complemented
23#37539C211yesmaximal, characteristic, complemented
24#36396C211yesmaximal, characteristic, complemented
25#36376C211yesmaximal, characteristic, complemented
26#36227C214yesmaximal, complemented
27#36184C211yesmaximal, characteristic, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35807C214yesmaximal, complemented
30#35333C211yesmaximal, characteristic, complemented
31#35246C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35211C211yesmaximal, characteristic, complemented
34#35139C211yesmaximal, characteristic, complemented
35#35103C211yesmaximal, characteristic, complemented
36#34947C211yesmaximal, characteristic, complemented
37#34910C211yesmaximal, characteristic, complemented
38C2×#2565C211yesmaximal, characteristic, complemented
39#34127C211yesmaximal, characteristic, complemented
40#3515—216no—
41#3480—216no—
42C2×#559C2212yes—
43C2×#559C2211yescharacteristic
44C2×#557C2211yescharacteristic
45C2×#557C2211yescharacteristic
46C2×#556C2212yes—
47C2×#556C2211yescharacteristic
48C2×#554C2211yescharacteristic
49C2×#554C2211yescharacteristic
50C2×#553C2211yescharacteristic
51C2×#553C2211yescharacteristic
52C2×#553C2212yes—
53C2×#553C2211yescharacteristic
54C2×#553C2212yes—
55C2×#553C2211yescharacteristic
56C2×#552C2211yescharacteristic
57C2×#552C2212yes—
58C2×#552C2212yes—
59C2×#552C2211yescharacteristic
60C2×#552C2212yes—
61C2×#550C2211yescharacteristic
62C2×#548C2211yescharacteristic
63C2×#548C2211yescharacteristic
64C2×#547C2211yescharacteristic
65C2×#547C2212yes—
66C2×#541C2212yes—
67C2×#539C2212yes—
68C2×#539C2212yes—
69C2×#533C2211yescharacteristic
70C2×#532C2211yescharacteristic
71C2×#532C2212yes—
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic
75C2×#529C2211yescharacteristic
76C2×#529C2211yescharacteristic
77C2×#529C2212yes—
78C2×#529C2212yes—
79C22×#125C2211yescharacteristic
80C22×#125C2211yescharacteristic
81C2×#520C2212yes—
82C2×C4×#41C2211yescharacteristic
83C2×C4×#41C2211yescharacteristic
84C2×C4×#41C2212yes—
85C2×C4×#41C2211yescharacteristic
86C22×C4×Q8C2211yescharacteristic
87#2861C2211yescharacteristic
88#2861C2211yescharacteristic
89#2859C2211yescharacteristic
90#2859C2211yescharacteristic
91#2857C2211yescharacteristic
92#2856C2211yescharacteristic
93#2856C2211yescharacteristic
94#2856C2211yescharacteristic
95#2853C2214yes—
96#2852C2214yes—
97#2851C2214yes—
98#2850C2211yescharacteristic
99#2850C2211yescharacteristic
100#2850C2211yescharacteristic
101#2850C2211yescharacteristic
102#2823C2214yes—
103#2820C2214yes—
104#2814C2214yes—
105#2734C2214yes—
106#2731C2214yes—
107#2730C2214yes—
108#2729C2214yes—
109#2726C2214yes—
110#2723C2214yes—
111#2722C2214yes—
112#2721C2214yes—
113#2717C2214yes—
114#2710C2214yes—
115#2709C2214yes—
116#2707C2214yes—
117#2706C2214yes—
118#2704C2214yes—
119#2700C2214yes—
120#2695C2214yes—
121#2692C2214yes—
122#2691C2214yes—
123#2690C2214yes—
124#2686C2214yes—
125#2681C2214yes—
126#2680C2214yes—
127#2673C2214yes—
128#2671C2214yes—
129#2664C2214yes—
130#2662C2214yes—
131#2660C2211yescharacteristic
132#2660C2211yescharacteristic
133#2660C2211yescharacteristic
134#2660C2211yescharacteristic
135#2641C2211yescharacteristic
136#2641C2211yescharacteristic
137#2640C2211yescharacteristic
138#2640C2211yescharacteristic
139#2638C2214yes—
140#2637C2214yes—
141#2637C2214yes—
142#2633C2214yes—
143#2630C2214yes—
144#2630C2214yes—
145#2630C2214yes—
146#2629C2214yes—
147#2621C2211yescharacteristic
148#2620C2211yescharacteristic
149#2620C2211yescharacteristic
150#2619C2211yescharacteristic
151#2618C2214yes—
152#2618C2214yes—
153#2611C2214yes—
154#2609C2214yes—
155#2609C2214yes—
156#2602C2214yes—
157#2601C2214yes—
158#2601C2214yes—
159#2601C2214yes—
160#2600C2214yes—
161#2599C2214yes—
162#2599C2214yes—
163#2579C2214yes—
164#2579C2214yes—
165#2579C2214yes—
166#2568C2211yescharacteristic
167#2567C2211yescharacteristic
168#2567C2211yescharacteristic
169#2566C2211yescharacteristic
170#2566C2211yescharacteristic
171#2566C2211yescharacteristic
172#2566C2211yescharacteristic
173#2566C2211yescharacteristic
174#2566C2211yescharacteristic
175#2566C2211yescharacteristic
176#2566C2211yescharacteristic
177#2566C2211yescharacteristic
178#2566C2211yescharacteristic
179#2565C2211yescharacteristic
180#2565C2211yescharacteristic
181#2565C2211yescharacteristic
182#2565C2211yescharacteristic
183#2565C2211yescharacteristic
184#2565C2211yescharacteristic
185#2565C2214yes—
186#2565C2211yescharacteristic
187#2565C2211yescharacteristic
188#2565C2211yescharacteristic
189#2565C2211yescharacteristic
190#2565C2211yescharacteristic
191#2565C2214yes—
192#2565C2211yescharacteristic
193#2565C2211yescharacteristic
194#2565C2211yescharacteristic
195#2564C2214yes—
196#2563C2211yescharacteristic
197#2563C2211yescharacteristic
198#2560C2214yes—
199#2557C2214yes—
200#2556C2214yes—
201#2553C2214yes—
202#2548C2211yescharacteristic
203#2545C2211yescharacteristic
204#2545C2211yescharacteristic
205#2545C2211yescharacteristic
206#2545C2211yescharacteristic
207#2544C2211yescharacteristic
208#2544C2211yescharacteristic
209#2544C2211yescharacteristic
210#2544C2211yescharacteristic
211#2543C2214yes—
212#2542C2211yescharacteristic
213#2541C2211yescharacteristic
214#2521C2214yes—
215#2519C2214yes—
216#2512C2214yes—
217#2504C2211yescharacteristic
218#2504C2211yescharacteristic
219#2504C2211yescharacteristic
220#2504C2211yescharacteristic
221#2503C2211yescharacteristic
222#2502C2211yescharacteristic
223#2502C2211yescharacteristic
224#2501C2211yescharacteristic
225#2501C2211yescharacteristic
226#2501C2211yescharacteristic
227#2500C2211yescharacteristic
228#2500C2211yescharacteristic
229#2500C2211yescharacteristic
230#2500C2211yescharacteristic
231#2499C2211yescharacteristic
232#2499C2211yescharacteristic
233#2499C2211yescharacteristic
234#2499C2211yescharacteristic
235#2478C2214yes—
236#2476C2214yes—
237#2473C2214yes—
238#2469C2214yes—
239#2468C2214yes—
240#2467C2214yes—
241#2465C2214yes—
242#2464C2214yes—
243#2463C2214yes—
244#2462C2214yes—
245#2462C2214yes—
246#2462C2214yes—
247#2460C2214yes—
248#2460C2214yes—
249#2458C2214yes—
250#2450C2214yes—
251#2449C2214yes—
252#2444C2214yes—
253#2443C2214yes—
254#2443C2214yes—
255#2436C2211yescharacteristic
256#2434C2211yescharacteristic
257#2432C2211yescharacteristic
258#2432C2211yescharacteristic
259#2431C2211yescharacteristic
260#2431C2211yescharacteristic
261#2430C2214yes—
262#2430C2214yes—
263#2430C2214yes—
264#2425C2214yes—
265#2425C2214yes—
266#2425C2214yes—
267#2425C2214yes—
268#2422C2214yes—
269#2417C2214yes—
270#2416C2214yes—
271#2416C2214yes—
272#2413C2214yes—
273#2406C2214yes—
274#2396C2214yes—
275#2392C2214yes—
276C2×#398C2214yes—
277#2364C2214yes—
278#2361C2214yes—
279#2359C2214yes—
280#2359C2214yes—
281#2355C2212yes—
282#2352C2212yes—
283#2352C2212yes—
284D4×C4⋊C4C2212yes—
285#2347C2212yes—
286#2343C2212yes—
287#2343C2212yes—
288#2339C2212yes—
289#2328C2211yescharacteristic
290#2327C2211yescharacteristic
291#2327C2211yescharacteristic
292#2327C2211yescharacteristic
293#2326C2211yescharacteristic
294#2326C2211yescharacteristic
295#2326C2211yescharacteristic
296#2326C2211yescharacteristic
297#2325C2214yes—
298#2324C2214yes—
299#2322C2214yes—
300#2317C2211yescharacteristic
301#2317C2211yescharacteristic
302#2311C2211yescharacteristic
303#2311C2211yescharacteristic
304C4×C4⋊Q8C2211yescharacteristic
305C4×#127C2211yescharacteristic
306C4×#124C2211yescharacteristic
307C4×#124C2211yescharacteristic
308C4×C22⋊Q8C2214yes—
309#2297C2211yescharacteristic
310#2297C2211yescharacteristic
311#2295C2211yescharacteristic
312#2295C2211yescharacteristic
313C2×#391C2211yescharacteristic
314C2×#391C2211yescharacteristic
315#2290C2211yescharacteristic
316#2290C2211yescharacteristic
317#2290C2211yescharacteristic
318#2290C2211yescharacteristic
319#2290C2214yes—
320C2×#387C2214yes—
321#2285C2211yescharacteristic
322#2285C2211yescharacteristic
323#2285C2211yescharacteristic
324C2×#384C2211yescharacteristic
325#2283C2211yescharacteristic
326#2283C2211yescharacteristic
327C2×#382C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C2×C4×C4⋊C4C2211yescharacteristic
332C2×C4×C4⋊C4C2211yescharacteristic
333C22×#41C2311yescharacteristic
334C22×#41C2311yescharacteristic
335C22×#41C2312yes—
336C22×#41C2312yes—
337C22×#41C2311yescharacteristic
338C23×Q8C2311yescharacteristic
339#559—28no—
340#559—216no—
341#557—28no—
342#557—28no—
343#556—216no—
344#556—28no—
345#554—28no—
346#554—28no—
347#553—28no—
348#553—28no—
349#553—216no—
350#553—216no—
351#553—28no—
352#553—28no—
353#552—28no—
354#552—28no—
355#552—216no—
356#552—216no—
357#552—216no—
358#550—28no—
359#548—28no—
360#548—28no—
361#547—216no—
362#547—28no—
363#541—216no—
364#539—216no—
365#539—216no—
366#533—28no—
367#532—216no—
368#532—28no—
369C2×C4⋊Q8C2311yescharacteristic
370C2×C4⋊Q8C2311yescharacteristic
371C2×C4⋊Q8C2311yescharacteristic
372C2×C4⋊Q8C2311yescharacteristic
373C2×C4⋊Q8C2312yes—
374C2×C4⋊Q8C2312yes—
375C2×C4⋊Q8C2311yescharacteristic
376C2×#127C2311yescharacteristic
377C2×#127C2312yes—
378C2×#127C2311yescharacteristic
379C2×#127C2311yescharacteristic
380#529—216no—
381#529—216no—
382#529—28no—
383#529—28no—
384#529—28no—
385#529—28no—
386#529—28no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125—28no—
401C2×#125—28no—
402C2×#125C2312yes—
403C2×#125C2311yescharacteristic
404C2×#125C2311yescharacteristic
405C2×#125C2311yescharacteristic
406C2×#125C2312yes—
407C2×#125C2311yescharacteristic
408C2×#125C2311yescharacteristic
409C2×#125C2311yescharacteristic
410C2×#125C2311yescharacteristic
411C2×#125C2311yescharacteristic
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#124C2312yes—
423C2×#124C2311yescharacteristic
424C2×#124C2311yescharacteristic
425C2×#124C2311yescharacteristic
426C2×#124C2311yescharacteristic
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#124C2311yescharacteristic
432C2×#124C2311yescharacteristic
433C2×#124C2311yescharacteristic
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2314yes—
450C2×#123C2314yes—
451C2×#123C2314yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2311yescharacteristic
455C2×C22⋊Q8C2311yescharacteristic
456C2×C22⋊Q8C2311yescharacteristic
457C2×C22⋊Q8C2311yescharacteristic
458C2×C22⋊Q8C2311yescharacteristic
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2314yes—
468C2×#121C2311yescharacteristic
469C2×#121C2311yescharacteristic
470C2×#121C2311yescharacteristic
471C2×#121C2311yescharacteristic
472C2×#121C2311yescharacteristic
473C2×#121C2312yes—
474C2×#121C2311yescharacteristic
475C2×#121C2311yescharacteristic
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2314yes—
485C2×#121C2314yes—
486C2×#121C2314yes—
487C2×#121C2314yes—
488#520—216no—
489C4×#41—216no—
490C4×#41—28no—
491C4×#41—28no—
492C4×#41D4116yescomplemented
493C2×C4×Q8—28no—
494C2×C4×Q8C2311yescharacteristic
495C2×C4×Q8C2311yescharacteristic
496C2×C4×Q8C2311yescharacteristic
497C2×C4×Q8C2311yescharacteristic
498C2×C4×Q8C2311yescharacteristic
499C2×C4×Q8C2311yescharacteristic
500C2×C4×Q8C2312yes—
501C2×C4×Q8C2312yes—
502C2×C4×Q8C2311yescharacteristic
503C2×C4×Q8C2311yescharacteristic
504C2×C4×Q8C2311yescharacteristic
505C2×C4×Q8C2312yes—
506C2×C4×Q8C2312yes—
507C2×C4×Q8C2312yes—
508C2×C4×Q8C2312yes—
509C2×C4×Q8C2312yes—
510C2×C4×Q8C2311yescharacteristic
511C2×C4×Q8C2311yescharacteristic
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2312yes—
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2312yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2312yes—
523C2×C4×D4C2312yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2312yes—
526C2×C4×D4C2312yes—
527C2×C4×D4C2312yes—
528C2×C4×D4C2312yes—
529C2×C4×D4C2312yes—
530C2×C4×D4C2312yes—
531C2×C4×D4C2312yes—
532C2×C4×D4C2312yes—
533C2×C4×D4C2312yes—
534C2×C4×D4C2312yes—
535C2×C4×D4C2312yes—
536C2×C4×D4C2312yes—
537C2×C4×D4C2312yes—
538C2×C4×D4C2314yes—
539C2×C4×D4C2312yes—
540C2×C4×D4C2312yes—
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2311yescharacteristic
547C2×#117C2311yescharacteristic
548C2×#117C2312yes—
549C2×#117C2312yes—
550C2×#117C2312yes—
551C2×#117C2312yes—
552C2×#117C2312yes—
553C2×#117C2312yes—
554C2×#117C2312yes—
555C2×#117C2312yes—
556C2×#117C2311yescharacteristic
557C2×#117C2312yes—
558C2×#117C2311yescharacteristic
559C2×#117C2311yescharacteristic
560C2×#117C2311yescharacteristic
561C2×#117C2311yescharacteristic
562C2×#117C2312yes—
563C2×#117C2311yescharacteristic
564C2×#117C2311yescharacteristic
565C2×#117C2311yescharacteristic
566C22×C4⋊C4C2311yescharacteristic
567C22×C4⋊C4C2311yescharacteristic
568C22×C4⋊C4C2312yes—
569C22×C4⋊C4C2312yes—
570C22×C4⋊C4C2312yes—
571C22×C4⋊C4C2312yes—
572C22×C4⋊C4C2311yescharacteristic
573C22×C4⋊C4C2312yes—
574C22×C4⋊C4C2312yes—
575C22×C4⋊C4C2311yescharacteristic
576C22×C4⋊C4C2311yescharacteristic
577C22×C4⋊C4C2312yes—
578C22×C4⋊C4C2312yes—
579C22×C4⋊C4C2314yes—
580C22×C42C2312yes—
581C22×C42C2312yes—
582C22×C42C2312yes—
583C22×C42C2311yescharacteristic
584C22×C42C2311yescharacteristic
585C22×C42C2311yescharacteristic
586C22×C42C2311yescharacteristic
587C22×C42C2311yescharacteristic
588C22×C42C2311yescharacteristic
589C22×C42C2311yescharacteristic
590#400C2314yes—
591#400C2314yes—
592#399C2314yes—
593#399C2314yes—
594#399C2314yes—
595#399C2314yes—
596#398C2314yes—
597#398C2314yes—
598#398C2314yes—
599#398C2314yes—
600#398C2314yes—
601#398C2314yes—
602#398C2314yes—
603#398C2314yes—
604#398C2314yes—
605#398C2314yes—
606#398C2314yes—
607#398C2314yes—
608#398C2314yes—
609#398C2314yes—
610#398C2314yes—
611#398C2314yes—
612#398C2314yes—
613#398C2314yes—
614#398C2314yes—
615#398C2314yes—
616#398C2314yes—
617#397C2314yes—
618#397C2314yes—
619#397C2314yes—
620#397C2314yes—
621#397C2314yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#397C2314yes—
627#397C2314yes—
628#396C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#396C2314yes—
637#396C2314yes—
638#396C2314yes—
639#396C2314yes—
640#396C2314yes—
641#396C2314yes—
642#396C2314yes—
643#396C2314yes—
644#395C2314yes—
645#395C2314yes—
646#395C2314yes—
647#395C2314yes—
648#395C2314yes—
649#395C2314yes—
650#395C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#393C2314yes—
670#393C2314yes—
671#393C2314yes—
672#393C2314yes—
673#393C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2314yes—
677#392C2314yes—
678#391C2314yes—
679#391C2311yescharacteristic
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2314yes—
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2314yes—
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2312yes—
699#390C2314yes—
700#390C2311yescharacteristic
701#390C2311yescharacteristic
702#390C2314yes—
703#390C2311yescharacteristic
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2311yescharacteristic
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2314yes—
718#390C2314yes—
719#390C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2314yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#389C2314yes—
728#389C2312yes—
729#389C2312yes—
730#389C2314yes—
731#389C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2314yes—
756#388C2314yes—
757#388C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#387C2314yes—
766#387C2314yes—
767#387C2314yes—
768#387C2314yes—
769#387C2314yes—
770#387C2314yes—
771#387C2314yes—
772#387C2314yes—
773#387C2314yes—
774#387C2314yes—
775#387C2314yes—
776#387C2314yes—
777#387C2314yes—
778#387C2314yes—
779#387C2314yes—
780#387C2312yes—
781#387C2312yes—
782#387C2312yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2314yes—
789#387C2314yes—
790#386C2314yes—
791#386C2314yes—
792#386C2314yes—
793#386C2314yes—
794#386C2314yes—
795#386C2314yes—
796#386C2314yes—
797#386C2314yes—
798#386C2314yes—
799#386C2314yes—
800#386C2314yes—
801#386C2314yes—
802#386C2314yes—
803#386C2314yes—
804#386C2314yes—
805#386C2314yes—
806#386C2314yes—
807#386C2312yes—
808#386C2312yes—
809#386C2312yes—
810#386C2312yes—
811#386C2314yes—
812#386C2314yes—
813#386C2314yes—
814#386C2314yes—
815#385C2314yes—
816#385C2314yes—
817#385C2314yes—
818#385C2314yes—
819#385C2314yes—
820#385C2314yes—
821#385C2314yes—
822#385C2314yes—
823#385C2314yes—
824#385C2314yes—
825#385C2314yes—
826#385C2314yes—
827#385C2314yes—
828#385C2314yes—
829#385C2314yes—
830#385C2314yes—
831#385C2314yes—
832#385C2314yes—
833#385C2314yes—
834#385C2314yes—
835#385C2312yes—
836#385C2312yes—
837#385C2312yes—
838#385C2312yes—
839#385C2314yes—
840#384C2311yescharacteristic
841#384C2311yescharacteristic
842#384C2311yescharacteristic
843#384C2311yescharacteristic
844#384C2311yescharacteristic
845#384C2314yes—
846#384C2311yescharacteristic
847#384C2311yescharacteristic
848#384C2311yescharacteristic
849#384C2311yescharacteristic
850#384C2311yescharacteristic
851#384C2311yescharacteristic
852#384C2311yescharacteristic
853#384C2312yes—
854#383C2312yes—
855#383C2312yes—
856#382C2311yescharacteristic
857#382C2311yescharacteristic
858#382C2311yescharacteristic
859#382C2311yescharacteristic
860#382C2312yes—
861#382C2311yescharacteristic
862#382C2311yescharacteristic
863#382C2311yescharacteristic
864#382C2311yescharacteristic
865#382C2314yes—
866#382C2311yescharacteristic
867#382C2311yescharacteristic
868#382C2311yescharacteristic
869#382C2311yescharacteristic
870#382C2312yes—
871#382C2312yes—
872#381C2314yes—
873#381C2312yes—
874#381C2312yes—
875#380C2314yes—
876#380C2314yes—
877#380C2314yes—
878#380C2314yes—
879#380C2314yes—
880#380C2314yes—
881#380C2312yes—
882#380C2312yes—
883#380C2312yes—
884#380C2314yes—
885#380C2312yes—
886C4×C4⋊C4C2312yes—
887C4×C4⋊C4C2314yes—
888C4×C4⋊C4C2311yescharacteristic
889C4×C4⋊C4C2311yescharacteristic
890C4×C4⋊C4C2311yescharacteristic
891C4×C4⋊C4C2311yescharacteristic
892C4×C4⋊C4C2311yescharacteristic
893C4×C4⋊C4C2311yescharacteristic
894C4×C4⋊C4C2312yes—
895C4×C4⋊C4C2312yes—
896C4×C4⋊C4C2311yescharacteristic
897C4×C4⋊C4C2311yescharacteristic
898C4×C4⋊C4C2311yescharacteristic
899C4×C4⋊C4C2311yescharacteristic
900C4×C4⋊C4C2312yes—
901C4×C4⋊C4C2312yes—
902C4×C4⋊C4C2312yes—
903C4×C4⋊C4C2312yes—
904C4×C4⋊C4C2314yes—
905C4×C4⋊C4C2314yes—
906C4×C22⋊C4C2314yes—
907C4×C22⋊C4C2312yes—
908C4×C22⋊C4C2312yes—
909C4×C22⋊C4C2312yes—
910C4×C22⋊C4C2312yes—
911C4×C22⋊C4C2312yes—
912C4×C22⋊C4C2314yes—
913C4×C22⋊C4C2314yes—
914C4×C22⋊C4C2314yes—
915C4×C22⋊C4C2311yescharacteristic
916C4×C22⋊C4C2311yescharacteristic
917C4×C22⋊C4C2311yescharacteristic
918C4×C22⋊C4C2311yescharacteristic
919C4×C22⋊C4C2311yescharacteristic
920C4×C22⋊C4C2311yescharacteristic
921#376C2311yescharacteristic
922#376C2311yescharacteristic
923#376C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2312yes—
926C2×#95C2312yes—
927C2×#95C2312yes—
928C2×#95C2314yes—
929C2×#95C2314yes—
930C2×#95C2314yes—
931C43C2311yescharacteristic
932C43C2311yescharacteristic
933C2×#41—24no—
934C2×#41—24no—
935C2×#41—28no—
936C2×#41—28no—
937C2×#41—24no—
938C2×#41—24no—
939C2×#41—44no—
940C2×#41—48no—
941C2×#41—48no—
942C2×#41—42no—
943C2×#41—42no—
944C2×#41C2×D418yes—
945C22×Q8—24no—
946C22×Q8—24no—
947C22×Q8—42no—
948C22×Q8C2411yescharacteristic
949C22×Q8C2411yescharacteristic
950C22×Q8C2412yes—
951C22×Q8C2411yescharacteristic
952C22×Q8C2412yes—
953C22×Q8C2412yes—
954C22×Q8C2412yes—
955C22×Q8C2411yescharacteristic
956C22×D4C2411yescharacteristic
957C22×D4C2412yes—
958C22×D4C2412yes—
959C22×D4C2412yes—
960C22×D4C2411yescharacteristic
961C22×D4C2411yescharacteristic
962C22×D4C2412yes—
963C22×D4C2412yes—
964C22×D4C2411yescharacteristic
965C22×D4C2411yescharacteristic
966C22×D4C2412yes—
967C22×D4C2412yes—
968C22×D4C2412yes—
969C22×D4C2412yes—
970C22×D4C2412yes—
971C22×D4C2412yes—
972C22×D4C2414yes—
973C22×D4C2414yes—
974C22×D4C2411yescharacteristic
975C23×C4C2412yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2411yescharacteristic
981C23×C4C2411yescharacteristic
982C23×C4C2411yescharacteristic
983C23×C4C2411yescharacteristic
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2412yes—
989C23×C4C2412yes—
990C23×C4C2412yes—
991C23×C4C2412yes—
992C23×C4C2412yes—
993C23×C4C2412yes—
994C23×C4C2412yes—
995C23×C4C2412yes—
996C23×C4C2412yes—
997C23×C4C2412yes—
998C23×C4C2411yescharacteristic
999C23×C4C2411yescharacteristic
1000C23×C4C2411yescharacteristic
1001C23×C4C2411yescharacteristic
1002C23×C4C2411yescharacteristic
1003C4⋊Q8—28no—
1004C4⋊Q8—28no—
1005C4⋊Q8—24no—
1006C4⋊Q8—24no—
1007C4⋊Q8—24no—
1008C4⋊Q8—24no—
1009C4⋊Q8—42no—
1010#127—28no—
1011#127—24no—
1012#127—42no—
1013#127—42no—
1014#126—28no—
1015#126—28no—
1016#126—28no—
1017#126—28no—
1018#126—28no—
1019#126—28no—
1020#126—28no—
1021#126—28no—
1022#126—28no—
1023#126—28no—
1024#126—28no—
1025#126—28no—
1026#126—28no—
1027#125—28no—
1028#125—28no—
1029#125—28no—
1030#125—28no—
1031#125—28no—
1032#125—28no—
1033#125—28no—
1034#125—24no—
1035#125—24no—
1036#125—24no—
1037#125—28no—
1038#125—28no—
1039#125—28no—
1040#125—28no—
1041#125—24no—
1042#125—24no—
1043#125—24no—
1044#125—24no—
1045#125—24no—
1046#125—24no—
1047#124—28no—
1048#124—24no—
1049#124—28no—
1050#124—28no—
1051#124—28no—
1052#124—24no—
1053#124—24no—
1054#124—24no—
1055#124—28no—
1056#124—42no—
1057#124—42no—
1058#124—42no—
1059#123—28no—
1060#123—28no—
1061#123—28no—
1062#123—28no—
1063#123—28no—
1064#123—28no—
1065#123—28no—
1066#123—28no—
1067#123—28no—
1068#123—28no—
1069#123—28no—
1070#123—28no—
1071#123—28no—
1072#123—28no—
1073#123—28no—
1074#123—48no—
1075#123—48no—
1076#123—48no—
1077C22⋊Q8—28no—
1078C22⋊Q8—24no—
1079C22⋊Q8—24no—
1080C22⋊Q8—24no—
1081C22⋊Q8—24no—
1082C22⋊Q8—24no—
1083C22⋊Q8—28no—
1084C22⋊Q8—28no—
1085C22⋊Q8—28no—
1086C22⋊Q8—28no—
1087C22⋊Q8—28no—
1088C22⋊Q8—28no—
1089C22⋊Q8—28no—
1090C22⋊Q8—28no—
1091C22⋊Q8—28no—
1092C22⋊Q8—48no—
1093#121—28no—
1094#121—28no—
1095#121—28no—
1096#121—28no—
1097#121—28no—
1098#121—28no—
1099#121—24no—
1100#121—24no—
1101#121—24no—
1102#121—24no—
1103#121—24no—
1104#121—24no—
1105#121—24no—
1106#121—28no—
1107#121—28no—
1108#121—28no—
1109#121—48no—
1110#121—48no—
1111#121—48no—
1112#121—48no—
1113C4×Q8—28no—
1114C4×Q8—28no—
1115C4×Q8—28no—
1116C4×Q8—24no—
1117C4×Q8—28no—
1118C4×Q8—24no—
1119C4×Q8—24no—
1120C4×Q8—24no—
1121C4×Q8—28no—
1122C4×Q8—24no—
1123C4×Q8—24no—
1124C4×Q8—28no—
1125C4×Q8—24no—
1126C4×Q8—24no—
1127C4×Q8—24no—
1128C4×Q8—28no—
1129C4×Q8C2×D418yes—
1130C4×Q8C2×D418yes—
1131C4×D4—28no—
1132C4×D4—28no—
1133C4×D4—28no—
1134C4×D4—28no—
1135C4×D4—28no—
1136C4×D4—28no—
1137C4×D4—28no—
1138C4×D4—28no—
1139C4×D4—28no—
1140C4×D4—28no—
1141C4×D4—28no—
1142C4×D4—28no—
1143C4×D4—28no—
1144C4×D4—28no—
1145C4×D4—28no—
1146C4×D4—28no—
1147C4×D4—28no—
1148C4×D4—28no—
1149C4×D4—24no—
1150C4×D4—24no—
1151C4×D4—24no—
1152C4×D4—24no—
1153C4×D4—28no—
1154C4×D4—24no—
1155C4×D4—24no—
1156C4×D4—24no—
1157C4×D4—48no—
1158C4×D4—44no—
1159C4×D4—44no—
1160C4×D4C2×D418yes—
1161C4×D4C2×D418yes—
1162C4×D4C2×D418yes—
1163C4×D4C2×D418yes—
1164C4×D4C2×D418yes—
1165C4×D4C2×D418yes—
1166#117—24no—
1167#117—24no—
1168#117—24no—
1169#117—24no—
1170#117—28no—
1171#117—28no—
1172#117—28no—
1173#117—28no—
1174#117—28no—
1175#117—28no—
1176#117—28no—
1177#117—28no—
1178#117—28no—
1179#117—42no—
1180#117—42no—
1181#117—44no—
1182#117C2×D418yes—
1183#117C2×D418yes—
1184#117C2×D418yes—
1185C2×C4⋊C4—28no—
1186C2×C4⋊C4—24no—
1187C2×C4⋊C4—28no—
1188C2×C4⋊C4—28no—
1189C2×C4⋊C4—24no—
1190C2×C4⋊C4—24no—
1191C2×C4⋊C4—28no—
1192C2×C4⋊C4—28no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—24no—
1195C2×C4⋊C4—28no—
1196C2×C4⋊C4—44no—
1197C2×C4⋊C4—44no—
1198C2×C4⋊C4—48no—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2411yescharacteristic
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2414yes—
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2414yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2414yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2414yes—
1260C2×C4⋊C4C2414yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2414yes—
1267C2×C4⋊C4C2414yes—
1268C2×C4⋊C4C2414yes—
1269C2×C4⋊C4C2414yes—
1270C2×C4⋊C4C2414yes—
1271C2×C4⋊C4C2414yes—
1272C2×C4⋊C4C2414yes—
1273C2×C4⋊C4C2414yes—
1274C2×C4⋊C4C2414yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2414yes—
1314C2×C22⋊C4C2414yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2414yes—
1322C2×C22⋊C4C2414yes—
1323C2×C22⋊C4C2414yes—
1324C2×C22⋊C4C2414yes—
1325C2×C22⋊C4C2414yes—
1326C2×C22⋊C4C2414yes—
1327C2×C22⋊C4C2414yes—
1328C2×C22⋊C4C2414yes—
1329C2×C22⋊C4C2414yes—
1330C2×C22⋊C4C2414yes—
1331C2×C22⋊C4C2414yes—
1332C2×C22⋊C4C2414yes—
1333C2×C22⋊C4C2414yes—
1334C2×C22⋊C4C2414yes—
1335C2×C22⋊C4C2414yes—
1336C2×C22⋊C4C2414yes—
1337C2×C22⋊C4C2414yes—
1338C2×C22⋊C4C2411yescharacteristic
1339C2×C22⋊C4C2411yescharacteristic
1340C2×C22⋊C4C2411yescharacteristic
1341C2×C22⋊C4C2411yescharacteristic
1342C2×C22⋊C4C2411yescharacteristic
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C42—28no—
1345C2×C42—28no—
1346C2×C42—28no—
1347C2×C42—42no—
1348C2×C42—42no—
1349C2×C42—42no—
1350C2×C42—42no—
1351C2×C42C2×D418yes—
1352C2×C42C2×D418yes—
1353C2×C42C2×D418yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2411yescharacteristic
1364C2×C42C2411yescharacteristic
1365C2×C42C2411yescharacteristic
1366C2×C42C2411yescharacteristic
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2411yescharacteristic
1373C2×C42C2411yescharacteristic
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2411yescharacteristic
1384C2×C42C2411yescharacteristic
1385C2×C42C2411yescharacteristic
1386C2×C42C2411yescharacteristic
1387C2×C42C2411yescharacteristic
1388C2×C42C2411yescharacteristic
1389C2×C42C2411yescharacteristic
1390C2×C42C2411yescharacteristic
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393#95C2412yes—
1394#95C2414yes—
1395#95C2414yes—
1396#95C2414yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2414yes—
1404#95C2414yes—
1405#95C2414yes—
1406#95C2414yes—
1407#95C2414yes—
1408#95C2414yes—
1409#95C2414yes—
1410#95C2414yes—
1411#95C2414yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2414yes—
1430#95C2414yes—
1431#95C2414yes—
1432#95C2414yes—
1433#95C2414yes—
1434#95C2414yes—
1435#95C2414yes—
1436#95C2414yes—
1437#95C2414yes—
1438#95C2414yes—
1439#95C2414yes—
1440#95C2414yes—
1441#95C2414yes—
1442#95C2414yes—
1443#95C2414yes—
1444#95C2414yes—
1445C24C2512yes—
1446C24C2512yes—
1447C24C2512yes—
1448C24C2511yescharacteristic
1449C24C2511yescharacteristic
1450C24C2511yescharacteristic
1451#41—416no—
1452#41—416no—
1453#41—416no—
1454#41—432no—
1455#41—432no—
1456C2×Q8—22no—
1457C2×Q8—22no—
1458C2×Q8—24no—
1459C2×Q8—22no—
1460C2×Q8—24no—
1461C2×Q8—24no—
1462C2×Q8—24no—
1463C2×Q8—22no—
1464C2×Q8—24no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—22no—
1468C2×Q8—22no—
1469C2×Q8—42no—
1470C2×Q8—42no—
1471C2×Q8—44no—
1472C2×Q8—44no—
1473C2×Q8—44no—
1474C2×Q8—416no—
1475C2×Q8C22×D414yes—
1476C2×Q82−1+414yes—
1477C2×D4—24no—
1478C2×D4—24no—
1479C2×D4—24no—
1480C2×D4—24no—
1481C2×D4—24no—
1482C2×D4—24no—
1483C2×D4—24no—
1484C2×D4—24no—
1485C2×D4—28no—
1486C2×D4—28no—
1487C2×D4—28no—
1488C2×D4—24no—
1489C2×D4—24no—
1490C2×D4—24no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—22no—
1494C2×D4—24no—
1495C2×D4—24no—
1496C2×D4—22no—
1497C2×D4—24no—
1498C2×D4—24no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—28no—
1505C2×D4—42no—
1506C2×D4—44no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4C22×D414yes—
1520C2×D4C22×D414yes—
1521C2×D4C22×D414yes—
1522C22×C4—24no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—22no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—22no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—28no—
1534C22×C4—24no—
1535C22×C4—24no—
1536C22×C4—24no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—24no—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—44no—
1562C22×C4—44no—
1563C22×C4—44no—
1564C22×C4—44no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—44no—
1571C22×C4—44no—
1572C22×C4—44no—
1573C22×C4—44no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—44no—
1577C22×C4—44no—
1578C22×C4—44no—
1579C22×C4C22×D414yes—
1580C22×C4C22×D414yes—
1581C22×C4C22×D414yes—
1582C22×C4C22×D414yes—
1583C22×C4C22×D414yes—
1584C22×C4C22×D414yes—
1585C22×C4C22×D414yes—
1586C22×C4C22×D414yes—
1587C22×C4C22×D414yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2511yescharacteristic
1612C22×C4C2511yescharacteristic
1613C22×C4C2511yescharacteristic
1614C22×C4C2511yescharacteristic
1615C22×C4C2511yescharacteristic
1616C22×C4C2511yescharacteristic
1617C22×C4C2511yescharacteristic
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—22no—
1625C4⋊C4—24no—
1626C4⋊C4—22no—
1627C4⋊C4—24no—
1628C4⋊C4—22no—
1629C4⋊C4—22no—
1630C4⋊C4—22no—
1631C4⋊C4—22no—
1632C4⋊C4—22no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—22no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—22no—
1657C4⋊C4—22no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—28no—
1672C4⋊C4—24no—
1673C4⋊C4—28no—
1674C4⋊C4—24no—
1675C4⋊C4—28no—
1676C4⋊C4—24no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—44no—
1689C4⋊C4—44no—
1690C4⋊C4—44no—
1691C4⋊C4—44no—
1692C4⋊C4—44no—
1693C4⋊C4—44no—
1694C4⋊C4—44no—
1695C4⋊C4—44no—
1696C4⋊C4—44no—
1697C4⋊C4C22×D414yes—
1698C4⋊C4C22×D414yes—
1699C4⋊C4C22×D414yes—
1700C4⋊C4C22×D414yes—
1701C4⋊C4C22×D414yes—
1702C4⋊C4C22×D414yes—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—28no—
1735C22⋊C4—24no—
1736C22⋊C4—28no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—44no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—44no—
1751C22⋊C4—44no—
1752C22⋊C4—44no—
1753C22⋊C4—44no—
1754C22⋊C4—44no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—44no—
1758C22⋊C4—44no—
1759C22⋊C4—44no—
1760C22⋊C4C22×D414yes—
1761C22⋊C4C22×D414yes—
1762C22⋊C4C22×D414yes—
1763C22⋊C4C22×D414yes—
1764C22⋊C4C22×D414yes—
1765C22⋊C4C22×D414yes—
1766C42—24no—
1767C42—24no—
1768C42—24no—
1769C42—24no—
1770C42—24no—
1771C42—24no—
1772C42—24no—
1773C42—24no—
1774C42—24no—
1775C42—24no—
1776C42—24no—
1777C42—24no—
1778C42—24no—
1779C42—22no—
1780C42—22no—
1781C42—22no—
1782C42—22no—
1783C42—22no—
1784C42—22no—
1785C42—22no—
1786C42—22no—
1787C42—24no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42C22×D414yes—
1796C42C22×D414yes—
1797C42C22×D414yes—
1798C42C22×D414yes—
1799C42C22×D414yes—
1800C42C22×D414yes—
1801C42C22×D414yes—
1802C42C22×D414yes—
1803C42C22×D414yes—
1804C42C22×D414yes—
1805C23—21no—
1806C23—21no—
1807C23—22no—
1808C23—21no—
1809C23—21no—
1810C23—22no—
1811C23—21no—
1812C23—22no—
1813C23—21no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—24no—
1823C23—24no—
1824C23—24no—
1825C23—24no—
1826C23—24no—
1827C23—24no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23C23×D412yes—
1832C23C23×D412yes—
1833C23C23×D412yes—
1834C23#58514yes—
1835C23C2611yescharacteristic
1836Q8—28no—
1837Q8—44no—
1838Q8—48no—
1839Q8—48no—
1840Q8—48no—
1841Q8—44no—
1842Q8—44no—
1843Q8—84no—
1844D4—28no—
1845D4—28no—
1846D4—44no—
1847D4—48no—
1848D4—48no—
1849D4—48no—
1850D4—48no—
1851D4—48no—
1852D4—48no—
1853D4—48no—
1854D4—44no—
1855D4—44no—
1856D4—44no—
1857D4—88no—
1858D4—84no—
1859D4—84no—
1860D4—84no—
1861D4—84no—
1862D4—164no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—28no—
1882C2×C4—28no—
1883C2×C4—28no—
1884C2×C4—28no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—24no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—24no—
1920C2×C4—24no—
1921C2×C4—22no—
1922C2×C4—24no—
1923C2×C4—24no—
1924C2×C4—24no—
1925C2×C4—22no—
1926C2×C4—24no—
1927C2×C4—24no—
1928C2×C4—22no—
1929C2×C4—24no—
1930C2×C4—24no—
1931C2×C4—22no—
1932C2×C4—44no—
1933C2×C4—44no—
1934C2×C4—44no—
1935C2×C4—44no—
1936C2×C4—44no—
1937C2×C4—48no—
1938C2×C4—48no—
1939C2×C4—48no—
1940C2×C4—48no—
1941C2×C4—48no—
1942C2×C4—48no—
1943C2×C4—48no—
1944C2×C4—48no—
1945C2×C4—48no—
1946C2×C4—84no—
1947C2×C4—84no—
1948C2×C4—84no—
1949C2×C4—84no—
1950C2×C4—84no—
1951C2×C4—84no—
1952C2×C4—84no—
1953C2×C4—84no—
1954C2×C4—84no—
1955C2×C4—84no—
1956C2×C4C23×D412yes—
1957C2×C4C23×D412yes—
1958C2×C4C23×D412yes—
1959C2×C4C23×D412yes—
1960C2×C4C23×D412yes—
1961C2×C4C23×D412yes—
1962C2×C4C23×D412yes—
1963C2×C4C23×D412yes—
1964C2×C4C23×D412yes—
1965C2×C4C23×D412yes—
1966C2×C4C23×D412yes—
1967C2×C4C23×D412yes—
1968C2×C4C2×2−1+414yes—
1969C2×C4C2×2−1+412yes—
1970C2×C4#58514yes—
1971C2×C4#58512yes—
1972C22—24no—
1973C22—24no—
1974C22—22no—
1975C22—22no—
1976C22—22no—
1977C22—22no—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—22no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—44no—
1987C22—44no—
1988C22—44no—
1989C22—44no—
1990C22—44no—
1991C22—44no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22#344914yes—
2002C22C24×D411yescharacteristic
2003C22C22×2−1+411yescharacteristic
2004C22C2×#58511yescharacteristic
2005C22C2×#58512yes—
2006C22C2×#58512yes—
2007C4—24no—
2008C4—22no—
2009C4—22no—
2010C4—22no—
2011C4—24no—
2012C4—22no—
2013C4—22no—
2014C4—22no—
2015C4—22no—
2016C4—22no—
2017C4—22no—
2018C4—22no—
2019C4—22no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4#348914yes—
2040C2—24no—
2041C2—42no—
2042C2—42no—
2043C2—82no—
2044C2—82no—
2045C2—82no—
2046C2C2×#344911yescharacteristic
2047C2C2×#348911yescharacteristic
2048C2#6281211yescharacteristic
2049C2#6302712yes—
2050C2#6303312yes—
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×#3515C2semidirect
2. C2×#3480C2semidirect
3. #42301C2semidirect
4. #40530C2semidirect
5. #40518C2semidirect
6. #39874C2semidirect
7. #39613C2semidirect
8. #39612C2semidirect
9. #39164C2semidirect
10. #39161C2semidirect
11. #38384C2semidirect
12. #38369C2semidirect
13. #38093C2semidirect
14. #38089C2semidirect
15. #38083C2semidirect
16. #38079C2semidirect
17. #37870C2semidirect
18. #37868C2semidirect
19. #37864C2semidirect
20. #37862C2semidirect
21. #37545C2semidirect
22. #37542C2semidirect
23. #37539C2semidirect
24. #36396C2semidirect
25. #36376C2semidirect
26. #36227C2semidirect
27. #36184C2semidirect
28. #36182C2semidirect
29. #35807C2semidirect
30. #35333C2semidirect
31. #35246C2semidirect
32. #35238C2semidirect
33. #35211C2semidirect
34. #35139C2semidirect
35. #35103C2semidirect
36. #34947C2semidirect
37. #34910C2semidirect
38. C2×#2565C2semidirect
39. #34127C2semidirect
492. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C2×#34802
#423012
#405302
#405182
#398742
#396132
#396122
#391642
#391612
#383842
#383692
#380932
#380892
#380832
#380792
#378702
#378682
#378642
#378622
#375452
#375422
#375392
#363962
#363762
#362272
#361842
#361822
#358072
#353332
#352462
#352382
#352112
#351392
#351032
#349472
#349102
C2×#25652
#341272