Finite Group Databasebeta

← #7674227

Subgroups — #7674227

Order 512.

7028 conjugacy classes of subgroups.

The subgroup lattice has 2111 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#44209C214yesmaximal, complemented
4#44187C214yesmaximal, complemented
5#43119C214yesmaximal, complemented
6#43117C214yesmaximal, complemented
7#39747C211yesmaximal, characteristic, complemented
8#39612C211yesmaximal, characteristic, complemented
9#39483C211yesmaximal, characteristic, complemented
10#39363C211yesmaximal, characteristic, complemented
11#39174C211yesmaximal, characteristic, complemented
12#39162C211yesmaximal, characteristic, complemented
13#38952C211yesmaximal, characteristic, complemented
14#38948C211yesmaximal, characteristic, complemented
15#38093C211yesmaximal, characteristic, complemented
16#38089C211yesmaximal, characteristic, complemented
17#38085C211yesmaximal, characteristic, complemented
18#38079C211yesmaximal, characteristic, complemented
19#37863C211yesmaximal, characteristic, complemented
20#37862C211yesmaximal, characteristic, complemented
21#37814C214yesmaximal, complemented
22#37810C214yesmaximal, complemented
23#37734C214yesmaximal, complemented
24#37731C214yesmaximal, complemented
25#37683C211yesmaximal, characteristic, complemented
26#37683C211yesmaximal, characteristic, complemented
27#35678C211yesmaximal, characteristic, complemented
28#35622C211yesmaximal, characteristic, complemented
29#35535C211yesmaximal, characteristic, complemented
30#35534C211yesmaximal, characteristic, complemented
31#35332C211yesmaximal, characteristic, complemented
32#35276C211yesmaximal, characteristic, complemented
33#35249C211yesmaximal, characteristic, complemented
34#35211C211yesmaximal, characteristic, complemented
35#34624C211yesmaximal, characteristic, complemented
36#34276C211yesmaximal, characteristic, complemented
37#34207C211yesmaximal, characteristic, complemented
38C4×#536C211yesmaximal, characteristic, complemented
39#34081C211yesmaximal, characteristic, complemented
40#3517—216no—
41#3516—216no—
42C2×#557C2211yescharacteristic
43C2×#557C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2211yescharacteristic
50C2×#553C2211yescharacteristic
51C2×#553C2212yes—
52C2×#553C2212yes—
53C2×#553C2212yes—
54C2×#552C2212yes—
55C2×#552C2211yescharacteristic
56C2×#550C2211yescharacteristic
57C2×#550C2211yescharacteristic
58C2×#550C2211yescharacteristic
59C2×#550C2212yes—
60C2×#550C2211yescharacteristic
61C2×D4×Q8C2211yescharacteristic
62C2×#548C2211yescharacteristic
63C2×#548C2211yescharacteristic
64C2×#547C2212yes—
65C2×#547C2211yescharacteristic
66C2×#542C2212yes—
67C2×#542C2211yescharacteristic
68C2×#541C2211yescharacteristic
69C2×#541C2212yes—
70C2×#540C2211yescharacteristic
71C2×#540C2211yescharacteristic
72C2×#540C2212yes—
73C2×#540C2212yes—
74C2×#536C2211yescharacteristic
75C2×#536C2211yescharacteristic
76C2×#532C2211yescharacteristic
77C2×#532C2211yescharacteristic
78C2×#532C2212yes—
79C2×#529C2211yescharacteristic
80C2×#529C2212yes—
81C2×#529C2212yes—
82C2×#529C2212yes—
83C2×#529C2211yescharacteristic
84C2×#520C2211yescharacteristic
85C2×#520C2211yescharacteristic
86C2×#520C2211yescharacteristic
87C2×#519C2211yescharacteristic
88C2×C4×#41C2211yescharacteristic
89C22×C4×Q8C2211yescharacteristic
90#2861C2211yescharacteristic
91#2859C2211yescharacteristic
92#2858C2211yescharacteristic
93#2858C2211yescharacteristic
94#2856C2211yescharacteristic
95#2854C2214yes—
96#2852C2214yes—
97#2850C2211yescharacteristic
98#2850C2211yescharacteristic
99#2850C2211yescharacteristic
100#2734C2214yes—
101#2729C2214yes—
102#2727C2214yes—
103#2726C2214yes—
104#2725C2214yes—
105#2721C2214yes—
106#2720C2214yes—
107#2718C2214yes—
108#2716C2214yes—
109#2714C2214yes—
110#2714C2214yes—
111#2711C2214yes—
112#2711C2214yes—
113#2710C2214yes—
114#2709C2214yes—
115#2702C2214yes—
116#2699C2214yes—
117#2692C2214yes—
118#2691C2214yes—
119#2687C2214yes—
120#2682C2214yes—
121#2681C2214yes—
122#2681C2214yes—
123#2680C2214yes—
124#2676C2214yes—
125#2676C2214yes—
126#2673C2214yes—
127#2673C2214yes—
128#2673C2214yes—
129#2672C2214yes—
130#2672C2214yes—
131#2671C2214yes—
132#2662C2214yes—
133#2661C2214yes—
134#2660C2211yescharacteristic
135#2660C2211yescharacteristic
136#2657C2211yescharacteristic
137#2657C2211yescharacteristic
138#2642C2211yescharacteristic
139#2641C2211yescharacteristic
140#2641C2211yescharacteristic
141#2640C2211yescharacteristic
142#2632C2214yes—
143#2630C2214yes—
144#2620C2211yescharacteristic
145#2620C2211yescharacteristic
146#2620C2211yescharacteristic
147#2620C2211yescharacteristic
148#2620C2211yescharacteristic
149#2619C2211yescharacteristic
150#2619C2211yescharacteristic
151#2619C2211yescharacteristic
152#2609C2214yes—
153#2600C2214yes—
154#2580C2214yes—
155#2567C2211yescharacteristic
156#2567C2211yescharacteristic
157#2567C2211yescharacteristic
158#2566C2211yescharacteristic
159#2566C2211yescharacteristic
160#2566C2211yescharacteristic
161#2565C2211yescharacteristic
162#2565C2211yescharacteristic
163#2565C2211yescharacteristic
164#2565C2211yescharacteristic
165#2565C2211yescharacteristic
166#2559C2214yes—
167#2559C2214yes—
168#2558C2214yes—
169#2558C2214yes—
170#2555C2214yes—
171#2554C2214yes—
172#2548C2211yescharacteristic
173#2548C2211yescharacteristic
174#2548C2211yescharacteristic
175#2548C2211yescharacteristic
176#2548C2211yescharacteristic
177#2547C2211yescharacteristic
178#2546C2211yescharacteristic
179#2545C2211yescharacteristic
180#2545C2211yescharacteristic
181#2544C2211yescharacteristic
182#2544C2211yescharacteristic
183#2542C2211yescharacteristic
184#2541C2211yescharacteristic
185#2504C2211yescharacteristic
186#2503C2211yescharacteristic
187#2502C2211yescharacteristic
188#2502C2211yescharacteristic
189#2501C2211yescharacteristic
190#2501C2211yescharacteristic
191#2501C2211yescharacteristic
192#2501C2211yescharacteristic
193#2500C2211yescharacteristic
194#2500C2211yescharacteristic
195#2500C2211yescharacteristic
196#2499C2211yescharacteristic
197#2479C2214yes—
198#2476C2214yes—
199#2476C2214yes—
200#2476C2214yes—
201#2475C2214yes—
202#2475C2214yes—
203#2473C2214yes—
204#2471C2214yes—
205#2469C2214yes—
206#2468C2214yes—
207#2467C2214yes—
208#2466C2214yes—
209#2464C2214yes—
210#2464C2214yes—
211#2464C2214yes—
212#2463C2214yes—
213#2463C2214yes—
214#2462C2214yes—
215#2462C2214yes—
216#2461C2214yes—
217#2461C2214yes—
218#2460C2214yes—
219#2459C2214yes—
220#2458C2214yes—
221#2458C2214yes—
222#2457C2214yes—
223#2456C2214yes—
224#2456C2214yes—
225#2456C2214yes—
226#2455C2214yes—
227#2455C2214yes—
228#2455C2214yes—
229#2454C2214yes—
230#2452C2214yes—
231#2450C2214yes—
232#2449C2214yes—
233#2449C2214yes—
234#2445C2214yes—
235#2445C2214yes—
236#2444C2214yes—
237#2443C2214yes—
238#2443C2214yes—
239#2436C2211yescharacteristic
240#2436C2211yescharacteristic
241#2436C2211yescharacteristic
242#2436C2211yescharacteristic
243#2432C2214yes—
244#2432C2211yescharacteristic
245#2432C2211yescharacteristic
246#2432C2211yescharacteristic
247#2432C2211yescharacteristic
248#2431C2211yescharacteristic
249#2431C2211yescharacteristic
250#2431C2211yescharacteristic
251#2431C2211yescharacteristic
252#2430C2214yes—
253#2426C2214yes—
254#2425C2214yes—
255#2414C2214yes—
256#2413C2214yes—
257#2407C2214yes—
258#2406C2214yes—
259#2406C2214yes—
260#2392C2214yes—
261#2388C2214yes—
262#2362C2214yes—
263#2361C2214yes—
264#2361C2214yes—
265#2360C2214yes—
266#2359C2214yes—
267#2359C2214yes—
268#2354C2214yes—
269D4×C4⋊C4C2214yes—
270#2337C2212yes—
271#2336C2212yes—
272#2335C2212yes—
273#2335C2212yes—
274#2334C2212yes—
275#2334C2212yes—
276#2333C2212yes—
277#2332C2212yes—
278#2328C2211yescharacteristic
279#2327C2211yescharacteristic
280#2327C2211yescharacteristic
281#2327C2211yescharacteristic
282#2327C2211yescharacteristic
283#2326C2211yescharacteristic
284#2326C2211yescharacteristic
285#2326C2211yescharacteristic
286#2326C2211yescharacteristic
287#2326C2211yescharacteristic
288#2326C2211yescharacteristic
289#2326C2211yescharacteristic
290#2326C2211yescharacteristic
291#2326C2211yescharacteristic
292#2326C2211yescharacteristic
293#2326C2211yescharacteristic
294#2323C2214yes—
295#2322C2214yes—
296#2317C2211yescharacteristic
297#2317C2211yescharacteristic
298#2311C2211yescharacteristic
299#2311C2211yescharacteristic
300#2311C2211yescharacteristic
301#2310C2211yescharacteristic
302C4×C4⋊Q8C2211yescharacteristic
303C4×C4⋊Q8C2211yescharacteristic
304C4×C4⋊Q8C2211yescharacteristic
305C4×C4⋊Q8C2211yescharacteristic
306C4×#127C2211yescharacteristic
307C4×#127C2211yescharacteristic
308C4×#127C2211yescharacteristic
309C4×#124C2211yescharacteristic
310C4×#124C2211yescharacteristic
311C4×#124C2211yescharacteristic
312C4×#124C2211yescharacteristic
313C4×#124C2211yescharacteristic
314C4×C22⋊Q8C2214yes—
315C4×#123C2214yes—
316#2298C2211yescharacteristic
317#2298C2211yescharacteristic
318#2297C2211yescharacteristic
319#2295C2211yescharacteristic
320#2295C2211yescharacteristic
321C2×#391C2211yescharacteristic
322#2293C2211yescharacteristic
323#2293C2211yescharacteristic
324#2290C2211yescharacteristic
325#2290C2211yescharacteristic
326#2290C2211yescharacteristic
327#2290C2211yescharacteristic
328C2×#384C2211yescharacteristic
329#2283C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C4×#117C2211yescharacteristic
333C22×#41C2311yescharacteristic
334C22×#41C2311yescharacteristic
335C22×#41C2311yescharacteristic
336C22×#41C2311yescharacteristic
337C22×#41C2312yes—
338C22×#41C2312yes—
339C22×#41C2312yes—
340C23×Q8C2311yescharacteristic
341C23×Q8C2311yescharacteristic
342#557—28no—
343#557—28no—
344#556—216no—
345#556—28no—
346#554—216no—
347#554—28no—
348#553—216no—
349#553—216no—
350#553—216no—
351#553—28no—
352#553—28no—
353#553—28no—
354#552—216no—
355#552—28no—
356#550—216no—
357#550—28no—
358#550—28no—
359#550—28no—
360#550—28no—
361D4×Q8—28no—
362#548—28no—
363#548—28no—
364#547—216no—
365#547—28no—
366#542—216no—
367#542—28no—
368#541—216no—
369#541—28no—
370#540—216no—
371#540—216no—
372#540—28no—
373#540—28no—
374#536—28no—
375#536—28no—
376#532—28no—
377#532—216no—
378#532—28no—
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2311yescharacteristic
388C2×#127C2311yescharacteristic
389C2×#127C2311yescharacteristic
390C2×#127C2311yescharacteristic
391C2×#127C2311yescharacteristic
392C2×#127C2312yes—
393C2×#127C2312yes—
394C2×#127C2312yes—
395C2×#127C2311yescharacteristic
396C2×#127C2311yescharacteristic
397#529—216no—
398#529—216no—
399#529—216no—
400#529—28no—
401#529D4116yescomplemented
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2311yescharacteristic
413C2×#126C2311yescharacteristic
414C2×#125C2311yescharacteristic
415C2×#125C2311yescharacteristic
416C2×#125C2311yescharacteristic
417C2×#125C2311yescharacteristic
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2311yescharacteristic
427C2×#124C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2311yescharacteristic
432C2×#124C2311yescharacteristic
433C2×#124C2311yescharacteristic
434C2×#124C2312yes—
435C2×#124C2311yescharacteristic
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2311yescharacteristic
440C2×#124C2311yescharacteristic
441C2×#124C2311yescharacteristic
442C2×#124C2311yescharacteristic
443C2×#124C2314yes—
444C2×#124C2311yescharacteristic
445C2×#123C2314yes—
446C2×#123C2314yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×#123C2314yes—
460C2×#123C2314yes—
461C2×#123C2314yes—
462C2×#123C2314yes—
463C2×#123C2311yescharacteristic
464C2×#123C2311yescharacteristic
465C2×C22⋊Q8C2314yes—
466C2×C22⋊Q8C2311yescharacteristic
467C2×C22⋊Q8C2311yescharacteristic
468C2×C22⋊Q8C2311yescharacteristic
469C2×C22⋊Q8C2314yes—
470C2×C22⋊Q8C2311yescharacteristic
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×C22⋊Q8C2312yes—
475C2×C22⋊Q8C2312yes—
476C2×C22⋊Q8C2312yes—
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2312yes—
479C2×C22⋊Q8C2312yes—
480C2×C22⋊Q8C2314yes—
481C2×C22⋊Q8C2311yescharacteristic
482C2×#121C2311yescharacteristic
483C2×#121C2311yescharacteristic
484C2×#121C2311yescharacteristic
485C2×#121C2312yes—
486C2×#121C2311yescharacteristic
487C2×#121C2311yescharacteristic
488C2×#121C2314yes—
489C2×#121C2311yescharacteristic
490C2×#121C2311yescharacteristic
491C2×#121C2311yescharacteristic
492C2×#121C2312yes—
493C2×#121C2312yes—
494C2×#121C2312yes—
495C2×#121C2312yes—
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×#121C2312yes—
500C2×#121C2312yes—
501C2×#121C2312yes—
502C2×#121C2312yes—
503C2×#121C2312yes—
504C2×#121C2312yes—
505C2×#121C2312yes—
506C2×#121C2312yes—
507C2×#121C2312yes—
508C2×#121C2312yes—
509C2×#121C2312yes—
510C2×#121C2314yes—
511C2×#121C2314yes—
512C2×#121C2311yescharacteristic
513#520—28no—
514#520—28no—
515#520—28no—
516#519—28no—
517C4×#41—28no—
518C2×C4×Q8—28no—
519C2×C4×Q8C2311yescharacteristic
520C2×C4×Q8C2311yescharacteristic
521C2×C4×Q8C2311yescharacteristic
522C2×C4×Q8C2311yescharacteristic
523C2×C4×Q8C2311yescharacteristic
524C2×C4×Q8C2311yescharacteristic
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2311yescharacteristic
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2312yes—
531C2×C4×Q8C2311yescharacteristic
532C2×C4×Q8C2312yes—
533C2×C4×Q8C2312yes—
534C2×C4×Q8C2312yes—
535C2×C4×Q8C2312yes—
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2311yescharacteristic
538C2×C4×D4C2311yescharacteristic
539C2×C4×D4C2311yescharacteristic
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2312yes—
545C2×C4×D4C2312yes—
546C2×C4×D4C2311yescharacteristic
547C2×C4×D4C2311yescharacteristic
548C2×C4×D4C2312yes—
549C2×C4×D4C2314yes—
550C2×C4×D4C2312yes—
551C2×C4×D4C2312yes—
552C2×C4×D4C2312yes—
553C2×C4×D4C2312yes—
554C2×C4×D4C2312yes—
555C2×C4×D4C2312yes—
556C2×C4×D4C2312yes—
557C2×C4×D4C2312yes—
558C2×C4×D4C2312yes—
559C2×C4×D4C2312yes—
560C2×C4×D4C2312yes—
561C2×C4×D4C2312yes—
562C2×C4×D4C2312yes—
563C2×C4×D4C2312yes—
564C2×C4×D4C2312yes—
565C2×C4×D4C2312yes—
566C2×C4×D4C2312yes—
567C2×C4×D4C2314yes—
568C2×C4×D4C2314yes—
569C2×C4×D4C2314yes—
570C2×C4×D4C2311yescharacteristic
571C2×C4×D4C2311yescharacteristic
572C2×C4×D4C2311yescharacteristic
573C2×#117C2311yescharacteristic
574C2×#117C2311yescharacteristic
575C2×#117C2311yescharacteristic
576C2×#117C2311yescharacteristic
577C2×#117C2312yes—
578C2×#117C2312yes—
579C2×#117C2312yes—
580C2×#117C2312yes—
581C2×#117C2312yes—
582C2×#117C2312yes—
583C2×#117C2312yes—
584C2×#117C2312yes—
585C2×#117C2312yes—
586C2×#117C2311yescharacteristic
587C2×#117C2311yescharacteristic
588C2×#117C2311yescharacteristic
589C2×#117C2311yescharacteristic
590C22×C4⋊C4C2311yescharacteristic
591C22×C4⋊C4C2311yescharacteristic
592C22×C4⋊C4C2311yescharacteristic
593C22×C4⋊C4C2311yescharacteristic
594C22×C4⋊C4C2312yes—
595C22×C4⋊C4C2312yes—
596C22×C4⋊C4C2312yes—
597C22×C4⋊C4C2312yes—
598C22×C4⋊C4C2314yes—
599C22×C42C2311yescharacteristic
600C22×C42C2312yes—
601C22×C42C2312yes—
602C22×C42C2311yescharacteristic
603C22×C42C2311yescharacteristic
604#400C2314yes—
605#400C2314yes—
606#400C2314yes—
607#399C2314yes—
608#399C2314yes—
609#399C2314yes—
610#399C2314yes—
611#399C2314yes—
612#398C2314yes—
613#398C2314yes—
614#398C2314yes—
615#398C2314yes—
616#398C2314yes—
617#398C2314yes—
618#398C2314yes—
619#398C2314yes—
620#398C2314yes—
621#398C2314yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#396C2314yes—
627#396C2314yes—
628#396C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#395C2314yes—
637#395C2314yes—
638#395C2314yes—
639#395C2314yes—
640#395C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
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#393C2314yes—
668#393C2314yes—
669#393C2314yes—
670#393C2314yes—
671#393C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2314yes—
677#392C2314yes—
678#392C2314yes—
679#392C2314yes—
680#392C2314yes—
681#392C2314yes—
682#392C2314yes—
683#392C2314yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2314yes—
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2312yes—
703#391C2314yes—
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2314yes—
710#390C2314yes—
711#390C2311yescharacteristic
712#390C2314yes—
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2311yescharacteristic
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2314yes—
721#390C2314yes—
722#390C2311yescharacteristic
723#390C2311yescharacteristic
724#390C2312yes—
725#390C2312yes—
726#390C2314yes—
727#390C2314yes—
728#390C2314yes—
729#390C2314yes—
730#390C2311yescharacteristic
731#390C2314yes—
732#390C2314yes—
733#390C2314yes—
734#389C2314yes—
735#389C2314yes—
736#389C2314yes—
737#389C2314yes—
738#389C2314yes—
739#389C2314yes—
740#389C2314yes—
741#389C2314yes—
742#389C2314yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2314yes—
748#389C2314yes—
749#389C2314yes—
750#388C2314yes—
751#388C2314yes—
752#388C2314yes—
753#388C2314yes—
754#388C2314yes—
755#388C2314yes—
756#388C2314yes—
757#388C2314yes—
758#388C2314yes—
759#388C2314yes—
760#388C2314yes—
761#388C2314yes—
762#388C2314yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2314yes—
776#388C2314yes—
777#388C2314yes—
778#388C2314yes—
779#388C2314yes—
780#388C2314yes—
781#388C2314yes—
782#388C2314yes—
783#388C2314yes—
784#388C2314yes—
785#388C2314yes—
786#388C2314yes—
787#388C2314yes—
788#387C2314yes—
789#387C2314yes—
790#387C2314yes—
791#387C2314yes—
792#387C2314yes—
793#387C2314yes—
794#387C2314yes—
795#387C2314yes—
796#387C2314yes—
797#387C2314yes—
798#387C2314yes—
799#387C2314yes—
800#387C2314yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2314yes—
814#386C2314yes—
815#386C2314yes—
816#386C2314yes—
817#386C2314yes—
818#386C2314yes—
819#386C2312yes—
820#386C2312yes—
821#386C2312yes—
822#386C2312yes—
823#386C2314yes—
824#386C2314yes—
825#386C2314yes—
826#386C2314yes—
827#386C2314yes—
828#386C2314yes—
829#386C2314yes—
830#386C2314yes—
831#386C2314yes—
832#386C2314yes—
833#386C2314yes—
834#386C2314yes—
835#386C2314yes—
836#386C2314yes—
837#386C2314yes—
838#385C2314yes—
839#385C2314yes—
840#385C2314yes—
841#385C2314yes—
842#385C2314yes—
843#385C2314yes—
844#385C2314yes—
845#385C2314yes—
846#385C2314yes—
847#385C2314yes—
848#385C2314yes—
849#385C2314yes—
850#385C2314yes—
851#385C2314yes—
852#385C2314yes—
853#385C2314yes—
854#385C2312yes—
855#385C2312yes—
856#385C2312yes—
857#385C2312yes—
858#385C2314yes—
859#385C2314yes—
860#385C2314yes—
861#385C2314yes—
862#385C2314yes—
863#385C2314yes—
864#384C2311yescharacteristic
865#384C2311yescharacteristic
866#384C2311yescharacteristic
867#384C2311yescharacteristic
868#384C2311yescharacteristic
869#384C2311yescharacteristic
870#384C2311yescharacteristic
871#384C2311yescharacteristic
872#384C2311yescharacteristic
873#384C2311yescharacteristic
874#384C2314yes—
875#383C2312yes—
876#382C2311yescharacteristic
877#382C2311yescharacteristic
878#382C2311yescharacteristic
879#382C2311yescharacteristic
880#382C2311yescharacteristic
881#382C2311yescharacteristic
882#382C2312yes—
883#381C2314yes—
884#381C2312yes—
885#381C2314yes—
886#380C2314yes—
887#380C2314yes—
888#380C2314yes—
889#380C2312yes—
890#380C2314yes—
891C4×C4⋊C4C2314yes—
892C4×C4⋊C4C2314yes—
893C4×C4⋊C4C2314yes—
894C4×C4⋊C4C2314yes—
895C4×C4⋊C4C2311yescharacteristic
896C4×C4⋊C4C2311yescharacteristic
897C4×C4⋊C4C2311yescharacteristic
898C4×C4⋊C4C2311yescharacteristic
899C4×C4⋊C4C2311yescharacteristic
900C4×C4⋊C4C2311yescharacteristic
901C4×C4⋊C4C2312yes—
902C4×C4⋊C4C2312yes—
903C4×C4⋊C4C2312yes—
904C4×C4⋊C4C2312yes—
905C4×C4⋊C4C2312yes—
906C4×C4⋊C4C2312yes—
907C4×C22⋊C4C2312yes—
908C4×C22⋊C4C2312yes—
909C4×C22⋊C4C2312yes—
910C4×C22⋊C4C2312yes—
911C4×C22⋊C4C2312yes—
912C4×C22⋊C4C2312yes—
913C4×C22⋊C4C2314yes—
914C4×C22⋊C4C2314yes—
915C4×C22⋊C4C2314yes—
916C4×C22⋊C4C2314yes—
917C4×C22⋊C4C2311yescharacteristic
918C4×C22⋊C4C2311yescharacteristic
919C4×C22⋊C4C2311yescharacteristic
920C4×C22⋊C4C2311yescharacteristic
921C4×C22⋊C4C2311yescharacteristic
922C4×C22⋊C4C2311yescharacteristic
923C4×C22⋊C4C2314yes—
924C4×C22⋊C4C2314yes—
925#376C2311yescharacteristic
926#376C2311yescharacteristic
927#376C2311yescharacteristic
928#376C2311yescharacteristic
929#376C2311yescharacteristic
930#376C2311yescharacteristic
931C2×#95C2314yes—
932C43C2311yescharacteristic
933C43C2311yescharacteristic
934C43C2311yescharacteristic
935C43C2311yescharacteristic
936C2×#41—28no—
937C2×#41—24no—
938C2×#41—24no—
939C2×#41—24no—
940C2×#41—24no—
941C2×#41—28no—
942C2×#41—24no—
943C2×#41—24no—
944C2×#41—24no—
945C2×#41—24no—
946C2×#41—28no—
947C2×#41—42no—
948C2×#41—42no—
949C2×#41—42no—
950C2×#41—42no—
951C2×#41—84no—
952C2×#41—84no—
953C2×#41—84no—
954C22×Q8—24no—
955C22×Q8—24no—
956C22×Q8—24no—
957C22×Q8—24no—
958C22×Q8—42no—
959C22×Q8—42no—
960C22×Q8C2411yescharacteristic
961C22×Q8C2411yescharacteristic
962C22×Q8C2412yes—
963C22×Q8C2412yes—
964C22×Q8C2411yescharacteristic
965C22×Q8C2411yescharacteristic
966C22×Q8C2412yes—
967C22×Q8C2412yes—
968C22×Q8C2411yescharacteristic
969C22×D4C2411yescharacteristic
970C22×D4C2411yescharacteristic
971C22×D4C2411yescharacteristic
972C22×D4C2411yescharacteristic
973C22×D4C2412yes—
974C22×D4C2412yes—
975C22×D4C2412yes—
976C22×D4C2412yes—
977C22×D4C2412yes—
978C22×D4C2414yes—
979C22×D4C2412yes—
980C22×D4C2412yes—
981C22×D4C2412yes—
982C22×D4C2412yes—
983C22×D4C2412yes—
984C22×D4C2412yes—
985C22×D4C2412yes—
986C22×D4C2412yes—
987C22×D4C2412yes—
988C22×D4C2412yes—
989C22×D4C2412yes—
990C22×D4C2412yes—
991C22×D4C2412yes—
992C22×D4C2414yes—
993C22×D4C2414yes—
994C22×D4C2411yescharacteristic
995C22×D4C2411yescharacteristic
996C22×D4C2411yescharacteristic
997C23×C4C2412yes—
998C23×C4C2412yes—
999C23×C4C2412yes—
1000C23×C4C2412yes—
1001C23×C4C2412yes—
1002C23×C4C2412yes—
1003C23×C4C2411yescharacteristic
1004C23×C4C2411yescharacteristic
1005C23×C4C2411yescharacteristic
1006C23×C4C2412yes—
1007C23×C4C2412yes—
1008C23×C4C2412yes—
1009C23×C4C2412yes—
1010C23×C4C2412yes—
1011C23×C4C2412yes—
1012C23×C4C2412yes—
1013C23×C4C2412yes—
1014C23×C4C2412yes—
1015C23×C4C2412yes—
1016C23×C4C2412yes—
1017C23×C4C2412yes—
1018C23×C4C2412yes—
1019C23×C4C2412yes—
1020C23×C4C2411yescharacteristic
1021C23×C4C2411yescharacteristic
1022C4⋊Q8—28no—
1023C4⋊Q8—28no—
1024C4⋊Q8—24no—
1025C4⋊Q8—24no—
1026C4⋊Q8—28no—
1027C4⋊Q8—24no—
1028C4⋊Q8—24no—
1029C4⋊Q8—24no—
1030C4⋊Q8#4118yescomplemented
1031#127—28no—
1032#127—28no—
1033#127—28no—
1034#127—24no—
1035#127—24no—
1036#127—24no—
1037#127—24no—
1038#127—42no—
1039#127—42no—
1040#126—28no—
1041#126—28no—
1042#126—28no—
1043#126—28no—
1044#126—28no—
1045#126—28no—
1046#126—28no—
1047#126—28no—
1048#126—28no—
1049#126—28no—
1050#126C2×D418yes—
1051#126C2×D418yes—
1052#125—28no—
1053#125—28no—
1054#125—28no—
1055#125—28no—
1056#125—28no—
1057#125—28no—
1058#125—28no—
1059#125—28no—
1060#125—24no—
1061#125—24no—
1062#125—24no—
1063#125—24no—
1064#125C2×D418yes—
1065#124—24no—
1066#124—24no—
1067#124—24no—
1068#124—24no—
1069#124—28no—
1070#124—28no—
1071#124—28no—
1072#124—28no—
1073#124—24no—
1074#124—24no—
1075#124—24no—
1076#124—24no—
1077#124—42no—
1078#124—42no—
1079#124—42no—
1080#124—42no—
1081#124—84no—
1082#124C2×D418yes—
1083#123—28no—
1084#123—28no—
1085#123—28no—
1086#123—28no—
1087#123—28no—
1088#123—28no—
1089#123—216no—
1090#123—216no—
1091#123—28no—
1092#123—28no—
1093#123—28no—
1094#123—28no—
1095#123—28no—
1096#123—28no—
1097#123—84no—
1098#123—84no—
1099#123—84no—
1100#123—84no—
1101#123C2×D418yes—
1102#123C2×D418yes—
1103C22⋊Q8—28no—
1104C22⋊Q8—24no—
1105C22⋊Q8—24no—
1106C22⋊Q8—24no—
1107C22⋊Q8—24no—
1108C22⋊Q8—28no—
1109C22⋊Q8—28no—
1110C22⋊Q8—28no—
1111C22⋊Q8—28no—
1112C22⋊Q8—216no—
1113C22⋊Q8—216no—
1114C22⋊Q8—28no—
1115C22⋊Q8—28no—
1116C22⋊Q8—28no—
1117C22⋊Q8—28no—
1118C22⋊Q8—84no—
1119C22⋊Q8C2×D418yes—
1120#121—28no—
1121#121—28no—
1122#121—28no—
1123#121—28no—
1124#121—28no—
1125#121—24no—
1126#121—28no—
1127#121—24no—
1128#121—24no—
1129#121—24no—
1130#121—24no—
1131#121—24no—
1132#121—24no—
1133#121—24no—
1134#121—28no—
1135#121—28no—
1136#121—28no—
1137#121—216no—
1138#121—28no—
1139#121—28no—
1140#121—28no—
1141#121—28no—
1142#121—28no—
1143#121—28no—
1144#121—28no—
1145#121—28no—
1146#121—28no—
1147#121—28no—
1148#121—84no—
1149#121—84no—
1150#121C2×D418yes—
1151C4×Q8—28no—
1152C4×Q8—28no—
1153C4×Q8—28no—
1154C4×Q8—28no—
1155C4×Q8—24no—
1156C4×Q8—28no—
1157C4×Q8—24no—
1158C4×Q8—24no—
1159C4×Q8—24no—
1160C4×Q8—28no—
1161C4×Q8—24no—
1162C4×Q8—24no—
1163C4×Q8—24no—
1164C4×Q8—24no—
1165C4×Q8—24no—
1166C4×Q8—24no—
1167C4×Q8—24no—
1168C4×Q8—24no—
1169C4×Q8C2×D418yes—
1170C4×D4—28no—
1171C4×D4—28no—
1172C4×D4—28no—
1173C4×D4—28no—
1174C4×D4—28no—
1175C4×D4—28no—
1176C4×D4—28no—
1177C4×D4—28no—
1178C4×D4—216no—
1179C4×D4—28no—
1180C4×D4—28no—
1181C4×D4—28no—
1182C4×D4—28no—
1183C4×D4—28no—
1184C4×D4—28no—
1185C4×D4—28no—
1186C4×D4—28no—
1187C4×D4—28no—
1188C4×D4—28no—
1189C4×D4—28no—
1190C4×D4—24no—
1191C4×D4—24no—
1192C4×D4—24no—
1193C4×D4—24no—
1194C4×D4—24no—
1195C4×D4—24no—
1196C4×D4—24no—
1197C4×D4—24no—
1198C4×D4—28no—
1199C4×D4—84no—
1200C4×D4—84no—
1201C4×D4—84no—
1202C4×D4C2×D418yes—
1203C4×D4C2×D418yes—
1204C4×D4C2×D418yes—
1205#117—24no—
1206#117—24no—
1207#117—28no—
1208#117—28no—
1209#117—28no—
1210#117—28no—
1211#117—28no—
1212#117—28no—
1213#117—28no—
1214#117—28no—
1215#117—28no—
1216#117—24no—
1217#117—24no—
1218#117—42no—
1219#117—42no—
1220#117C2×D418yes—
1221#117C2×D418yes—
1222C2×C4⋊C4—28no—
1223C2×C4⋊C4—24no—
1224C2×C4⋊C4—24no—
1225C2×C4⋊C4—24no—
1226C2×C4⋊C4—24no—
1227C2×C4⋊C4—28no—
1228C2×C4⋊C4—28no—
1229C2×C4⋊C4—28no—
1230C2×C4⋊C4—84no—
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2414yes—
1274C2×C4⋊C4C2414yes—
1275C2×C4⋊C4C2414yes—
1276C2×C4⋊C4C2414yes—
1277C2×C4⋊C4C2414yes—
1278C2×C4⋊C4C2414yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2414yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2414yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2414yes—
1286C2×C4⋊C4C2414yes—
1287C2×C4⋊C4C2414yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2414yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2414yes—
1331C2×C22⋊C4C2414yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2414yes—
1335C2×C22⋊C4C2414yes—
1336C2×C22⋊C4C2414yes—
1337C2×C22⋊C4C2414yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2414yes—
1341C2×C22⋊C4C2414yes—
1342C2×C22⋊C4C2414yes—
1343C2×C22⋊C4C2414yes—
1344C2×C22⋊C4C2414yes—
1345C2×C22⋊C4C2414yes—
1346C2×C22⋊C4C2414yes—
1347C2×C22⋊C4C2414yes—
1348C2×C22⋊C4C2414yes—
1349C2×C22⋊C4C2414yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2414yes—
1355C2×C22⋊C4C2414yes—
1356C2×C22⋊C4C2414yes—
1357C2×C22⋊C4C2414yes—
1358C2×C22⋊C4C2414yes—
1359C2×C22⋊C4C2414yes—
1360C2×C22⋊C4C2414yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2414yes—
1364C2×C22⋊C4C2414yes—
1365C2×C22⋊C4C2414yes—
1366C2×C22⋊C4C2411yescharacteristic
1367C2×C22⋊C4C2411yescharacteristic
1368C2×C22⋊C4C2411yescharacteristic
1369C2×C22⋊C4C2411yescharacteristic
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C42—28no—
1377C2×C42—28no—
1378C2×C42—24no—
1379C2×C42—42no—
1380C2×C42C2×D418yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2411yescharacteristic
1394C2×C42C2411yescharacteristic
1395C2×C42C2411yescharacteristic
1396C2×C42C2411yescharacteristic
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2411yescharacteristic
1402C2×C42C2411yescharacteristic
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
1418C2×C42C2411yescharacteristic
1419#95C2414yes—
1420#95C2414yes—
1421#95C2414yes—
1422#95C2414yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2414yes—
1436#95C2414yes—
1437#95C2414yes—
1438#95C2414yes—
1439#95C2414yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2414yes—
1443#95C2414yes—
1444#95C2414yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2414yes—
1449#95C2412yes—
1450#95C2414yes—
1451#95C2414yes—
1452#95C2414yes—
1453#95C2414yes—
1454#95C2414yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2414yes—
1462#95C2414yes—
1463#95C2414yes—
1464#95C2414yes—
1465C24C2512yes—
1466C24C2512yes—
1467C24C2512yes—
1468C24C2512yes—
1469C24C2511yescharacteristic
1470C24C2511yescharacteristic
1471C24C2511yescharacteristic
1472#41—416no—
1473#41—416no—
1474#41—416no—
1475#41—416no—
1476#41—816no—
1477#41—816no—
1478#41—816no—
1479C2×Q8—22no—
1480C2×Q8—22no—
1481C2×Q8—24no—
1482C2×Q8—24no—
1483C2×Q8—22no—
1484C2×Q8—22no—
1485C2×Q8—24no—
1486C2×Q8—24no—
1487C2×Q8—24no—
1488C2×Q8—24no—
1489C2×Q8—22no—
1490C2×Q8—22no—
1491C2×Q8—22no—
1492C2×Q8—22no—
1493C2×Q8—22no—
1494C2×Q8—22no—
1495C2×Q8—42no—
1496C2×Q8—42no—
1497C2×Q8—42no—
1498C2×Q8—44no—
1499C2×Q8—44no—
1500C2×Q8—416no—
1501C2×Q8—416no—
1502C2×Q8C22×D414yes—
1503C2×Q8C2×#4114yes—
1504C2×Q8C2×#4114yes—
1505C2×D4—24no—
1506C2×D4—24no—
1507C2×D4—24no—
1508C2×D4—24no—
1509C2×D4—24no—
1510C2×D4—24no—
1511C2×D4—24no—
1512C2×D4—24no—
1513C2×D4—24no—
1514C2×D4—24no—
1515C2×D4—24no—
1516C2×D4—24no—
1517C2×D4—22no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—24no—
1522C2×D4—24no—
1523C2×D4—24no—
1524C2×D4—24no—
1525C2×D4—24no—
1526C2×D4—24no—
1527C2×D4—28no—
1528C2×D4—24no—
1529C2×D4—24no—
1530C2×D4—24no—
1531C2×D4—24no—
1532C2×D4—22no—
1533C2×D4—22no—
1534C2×D4—22no—
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—22no—
1538C2×D4—22no—
1539C2×D4—22no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—44no—
1545C2×D4—42no—
1546C2×D4—42no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—42no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—44no—
1555C2×D4—44no—
1556C2×D4—44no—
1557C2×D4—44no—
1558C2×D4—44no—
1559C2×D4—44no—
1560C2×D4—44no—
1561C2×D4—44no—
1562C2×D4—44no—
1563C2×D4—44no—
1564C2×D4—44no—
1565C2×D4—44no—
1566C2×D4—44no—
1567C2×D4—44no—
1568C2×D4—44no—
1569C2×D4C22×D414yes—
1570C2×D4C22×D414yes—
1571C2×D4C22×D414yes—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—44no—
1614C22×C4—42no—
1615C22×C4—44no—
1616C22×C4—44no—
1617C22×C4—44no—
1618C22×C4—44no—
1619C22×C4—44no—
1620C22×C4—44no—
1621C22×C4—44no—
1622C22×C4—42no—
1623C22×C4—44no—
1624C22×C4—44no—
1625C22×C4—44no—
1626C22×C4—44no—
1627C22×C4—42no—
1628C22×C4C22×D414yes—
1629C22×C4C22×D414yes—
1630C22×C4C22×D414yes—
1631C22×C4C22×D414yes—
1632C22×C4C22×D414yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2511yescharacteristic
1652C22×C4C2511yescharacteristic
1653C22×C4C2511yescharacteristic
1654C22×C4C2511yescharacteristic
1655C22×C4C2511yescharacteristic
1656C22×C4C2511yescharacteristic
1657C22×C4C2511yescharacteristic
1658C22×C4C2511yescharacteristic
1659C22×C4C2511yescharacteristic
1660C22×C4C2511yescharacteristic
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C4⋊C4—24no—
1666C4⋊C4—22no—
1667C4⋊C4—24no—
1668C4⋊C4—22no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—22no—
1675C4⋊C4—22no—
1676C4⋊C4—24no—
1677C4⋊C4—22no—
1678C4⋊C4—24no—
1679C4⋊C4—22no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—22no—
1686C4⋊C4—24no—
1687C4⋊C4—22no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—28no—
1708C4⋊C4—28no—
1709C4⋊C4—44no—
1710C4⋊C4—44no—
1711C4⋊C4—44no—
1712C4⋊C4—44no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—44no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—44no—
1721C4⋊C4—42no—
1722C4⋊C4—44no—
1723C4⋊C4—42no—
1724C4⋊C4—44no—
1725C4⋊C4—44no—
1726C4⋊C4—44no—
1727C4⋊C4C22×D414yes—
1728C4⋊C4C22×D414yes—
1729C4⋊C4C22×D414yes—
1730C4⋊C4C22×D414yes—
1731C4⋊C4C22×D414yes—
1732C4⋊C4C22×D414yes—
1733C4⋊C4C22×D414yes—
1734C4⋊C4C22×D414yes—
1735C4⋊C4C22×D414yes—
1736C4⋊C4C22×D414yes—
1737C4⋊C4C2×#41116yes—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—28no—
1767C22⋊C4—28no—
1768C22⋊C4—28no—
1769C22⋊C4—28no—
1770C22⋊C4—28no—
1771C22⋊C4—28no—
1772C22⋊C4—44no—
1773C22⋊C4—44no—
1774C22⋊C4—42no—
1775C22⋊C4—44no—
1776C22⋊C4—42no—
1777C22⋊C4—44no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—44no—
1781C22⋊C4—44no—
1782C22⋊C4—44no—
1783C22⋊C4—44no—
1784C22⋊C4—44no—
1785C22⋊C4—44no—
1786C22⋊C4—44no—
1787C22⋊C4—44no—
1788C22⋊C4—44no—
1789C22⋊C4—44no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—44no—
1795C22⋊C4—44no—
1796C22⋊C4—44no—
1797C22⋊C4—44no—
1798C22⋊C4—44no—
1799C22⋊C4—44no—
1800C22⋊C4C22×D414yes—
1801C22⋊C4C22×D414yes—
1802C22⋊C4C22×D414yes—
1803C22⋊C4C22×D414yes—
1804C22⋊C4C22×D414yes—
1805C22⋊C4C22×D414yes—
1806C22⋊C4C22×D414yes—
1807C22⋊C4C22×D414yes—
1808C22⋊C4C22×D414yes—
1809C22⋊C4C22×D414yes—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—24no—
1817C42—24no—
1818C42—24no—
1819C42—24no—
1820C42—24no—
1821C42—24no—
1822C42—24no—
1823C42—24no—
1824C42—24no—
1825C42—22no—
1826C42—22no—
1827C42—22no—
1828C42—22no—
1829C42—22no—
1830C42—22no—
1831C42—22no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42C22×D414yes—
1842C42C22×D414yes—
1843C42C22×D414yes—
1844C42C22×D414yes—
1845C42C22×D414yes—
1846C42C22×D414yes—
1847C42C2×#4114yes—
1848C23—21no—
1849C23—21no—
1850C23—21no—
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—24no—
1873C23—24no—
1874C23—24no—
1875C23—24no—
1876C23—24no—
1877C23—24no—
1878C23—24no—
1879C23—24no—
1880C23C23×D412yes—
1881C23C23×D412yes—
1882C23C23×D412yes—
1883C23C2611yescharacteristic
1884Q8—28no—
1885Q8—28no—
1886Q8—44no—
1887Q8—48no—
1888Q8—48no—
1889Q8—48no—
1890Q8—44no—
1891Q8—44no—
1892Q8—84no—
1893D4—44no—
1894D4—44no—
1895D4—44no—
1896D4—48no—
1897D4—48no—
1898D4—48no—
1899D4—48no—
1900D4—416no—
1901D4—48no—
1902D4—48no—
1903D4—44no—
1904D4—44no—
1905D4—44no—
1906D4—44no—
1907D4—84no—
1908D4—84no—
1909D4—84no—
1910D4—84no—
1911D4—84no—
1912D4—84no—
1913D4—84no—
1914D4—84no—
1915D4—84no—
1916D4—84no—
1917D4—84no—
1918D4—84no—
1919D4—88no—
1920D4—164no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—28no—
1942C2×C4—28no—
1943C2×C4—28no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—24no—
1972C2×C4—24no—
1973C2×C4—22no—
1974C2×C4—24no—
1975C2×C4—24no—
1976C2×C4—24no—
1977C2×C4—24no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—24no—
1985C2×C4—24no—
1986C2×C4—22no—
1987C2×C4—44no—
1988C2×C4—44no—
1989C2×C4—48no—
1990C2×C4—48no—
1991C2×C4—48no—
1992C2×C4—48no—
1993C2×C4—48no—
1994C2×C4—48no—
1995C2×C4—48no—
1996C2×C4—48no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—84no—
2009C2×C4C23×D412yes—
2010C2×C4C23×D412yes—
2011C2×C4C23×D412yes—
2012C2×C4C23×D412yes—
2013C2×C4C23×D412yes—
2014C2×C4C23×D412yes—
2015C2×C4C23×D412yes—
2016C2×C4C23×D412yes—
2017C2×C4C23×D412yes—
2018C2×C4C23×D412yes—
2019C2×C4C23×D412yes—
2020C2×C4C23×D412yes—
2021C2×C4C22×#4114yes—
2022C2×C4C22×#4114yes—
2023C2×C4C22×#4114yes—
2024C2×C4C22×#4112yes—
2025C2×C4#58512yes—
2026C22—22no—
2027C22—22no—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—44no—
2042C22—44no—
2043C22—44no—
2044C22—44no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—44no—
2054C22—44no—
2055C22—44no—
2056C22—44no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22C24×D411yescharacteristic
2062C22C23×#4111yescharacteristic
2063C22C2×#58511yescharacteristic
2064C22H(7,𝔽2)12yes—
2065C222−1+612yes—
2066C4—24no—
2067C4—22no—
2068C4—22no—
2069C4—22no—
2070C4—22no—
2071C4—22no—
2072C4—22no—
2073C4—22no—
2074C4—22no—
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—24no—
2079C4—24no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4D4×#4114yes—
2098C2—42no—
2099C2—42no—
2100C2—42no—
2101C2—82no—
2102C2—82no—
2103C2—82no—
2104C2—82no—
2105C2C2×D4×#4111yescharacteristic
2106C2#6285112yes—
2107C2#6285211yescharacteristic
2108C2#6285911yescharacteristic
2109C2#6288412yes—
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×#3517C2semidirect
2. C2×#3516C2semidirect
3. #44209C2semidirect
4. #44187C2semidirect
5. #43119C2semidirect
6. #43117C2semidirect
7. #39747C2semidirect
8. #39612C2semidirect
9. #39483C2semidirect
10. #39363C2semidirect
11. #39174C2semidirect
12. #39162C2semidirect
13. #38952C2semidirect
14. #38948C2semidirect
15. #38093C2semidirect
16. #38089C2semidirect
17. #38085C2semidirect
18. #38079C2semidirect
19. #37863C2semidirect
20. #37862C2semidirect
21. #37814C2semidirect
22. #37810C2semidirect
23. #37734C2semidirect
24. #37731C2semidirect
25. #37683C2semidirect
26. #37683C2semidirect
27. #35678C2semidirect
28. #35622C2semidirect
29. #35535C2semidirect
30. #35534C2semidirect
31. #35332C2semidirect
32. #35276C2semidirect
33. #35249C2semidirect
34. #35211C2semidirect
35. #34624C2semidirect
36. #34276C2semidirect
37. #34207C2semidirect
38. C4×#536C2semidirect
39. #34081C2semidirect
401. #529D4semidirect
1030. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#35162
#442092
#441872
#431192
#431172
#397472
#396122
#394832
#393632
#391742
#391622
#389522
#389482
#380932
#380892
#380852
#380792
#378632
#378622
#378142
#378102
#377342
#377312
#376832
#356782
#356222
#355352
#355342
#353322
#352762
#352492
#352112
#346242
#342762
#342072
C4×#5362
#340812