Finite Group Databasebeta

← #7650795

Subgroups — #7650795

Order 512.

8029 conjugacy classes of subgroups.

The subgroup lattice has 2100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3489C211yesmaximal, characteristic, complemented
3#42994C212yesmaximal, complemented
4#42910C212yesmaximal, complemented
5#42800C212yesmaximal, complemented
6#42792C212yesmaximal, complemented
7#42652C212yesmaximal, complemented
8#42643C212yesmaximal, complemented
9#42438C212yesmaximal, complemented
10#42433C212yesmaximal, complemented
11#41413C214yesmaximal, complemented
12#41410C214yesmaximal, complemented
13#39887C212yesmaximal, complemented
14#39881C212yesmaximal, complemented
15#39862C212yesmaximal, complemented
16#39858C212yesmaximal, complemented
17#39722C212yesmaximal, complemented
18#39124C212yesmaximal, complemented
19#38920C212yesmaximal, complemented
20#38917C212yesmaximal, complemented
21#38423C214yesmaximal, complemented
22#37864C214yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35649C211yesmaximal, characteristic, complemented
26#35634C211yesmaximal, characteristic, complemented
27#35621C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35166C211yesmaximal, characteristic, complemented
32C2×#2489C211yesmaximal, characteristic, complemented
33#34743C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3512—216no—
39#3489—216no—
40C2×#553C2214yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#553C2214yescomplemented
44C2×#552C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×D4×Q8C2212yes—
47C2×#548C2212yes—
48C2×#547C2212yes—
49C2×#547C2214yes—
50C2×#546C2214yes—
51C2×#546C2212yes—
52C2×#541C2212yescomplemented
53C2×#540C2212yescomplemented
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#537C2212yes—
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic, complemented
59C2×#537C2211yescharacteristic, complemented
60C2×#536C2211yescharacteristic
61C2×#536C2212yes—
62C2×#536C2211yescharacteristic, complemented
63C2×#536C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2212yescomplemented
68C2×#529C2212yescomplemented
69C22×#125C2211yescharacteristic, complemented
70C2×#525C2212yes—
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic
74C22×C22⋊Q8C2212yes—
75C22×C22⋊Q8C2211yescharacteristic
76C2×#520C2211yescharacteristic
77C2×#520C2211yescharacteristic, complemented
78C2×C4×#41C2211yescharacteristic, complemented
79#2857C2212yescomplemented
80#2856C2214yescomplemented
81#2850C2212yescomplemented
82#2848C2212yes—
83#2847C2212yes—
84#2821C2214yescomplemented
85#2820C2214yescomplemented
86#2815C2214yescomplemented
87#2813C2214yescomplemented
88#2723C2214yes—
89#2723C2214yes—
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2723C2214yescomplemented
94#2720C2214yes—
95#2720C2214yescomplemented
96#2720C2214yescomplemented
97#2718C2214yescomplemented
98#2718C2214yescomplemented
99#2718C2214yescomplemented
100#2714C2214yescomplemented
101#2714C2214yescomplemented
102#2711C2214yescomplemented
103#2706C2214yescomplemented
104#2706C2214yescomplemented
105#2706C2214yescomplemented
106#2706C2214yescomplemented
107#2706C2214yescomplemented
108#2706C2214yescomplemented
109#2703C2214yescomplemented
110#2703C2214yescomplemented
111#2703C2214yescomplemented
112#2696C2214yes—
113#2696C2214yescomplemented
114#2696C2214yescomplemented
115#2685C2214yes—
116#2678C2214yes—
117#2678C2214yes—
118#2673C2214yescomplemented
119#2669C2214yes—
120#2662C2214yescomplemented
121#2661C2214yescomplemented
122#2660C2214yescomplemented
123#2656C2214yescomplemented
124#2636C2214yescomplemented
125#2635C2214yescomplemented
126#2633C2214yes—
127#2631C2214yescomplemented
128#2628C2214yescomplemented
129#2624C2214yescomplemented
130#2623C2214yescomplemented
131#2621C2212yescomplemented
132#2620C2212yescomplemented
133#2619C2214yescomplemented
134#2617C2214yes—
135#2616C2212yes—
136#2615C2212yes—
137#2610C2214yescomplemented
138#2603C2214yes—
139#2598C2214yescomplemented
140#2591C2214yescomplemented
141#2566C2214yescomplemented
142#2563C2214yescomplemented
143#2547C2212yescomplemented
144#2546C2212yescomplemented
145#2545C2212yescomplemented
146#2544C2212yescomplemented
147#2542C2212yes—
148#2542C2212yes—
149#2542C2212yescomplemented
150#2542C2212yescomplemented
151#2542C2212yescomplemented
152#2542C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2212yescomplemented
155#2540C2212yes—
156#2540C2212yes—
157#2540C2212yescomplemented
158#2540C2212yescomplemented
159#2540C2212yescomplemented
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2540C2212yescomplemented
163#2539C2214yes—
164#2538C2212yescomplemented
165#2537C2212yes—
166#2536C2212yes—
167#2535C2214yes—
168#2535C2212yescomplemented
169#2504C2214yescomplemented
170#2504C2214yescomplemented
171#2501C2214yescomplemented
172#2500C2214yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2490C2212yescomplemented
177#2489C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2489C2212yescomplemented
182#2489C2212yescomplemented
183#2489C2212yescomplemented
184#2489C2212yescomplemented
185#2489C2212yescomplemented
186#2489C2212yescomplemented
187#2489C2212yescomplemented
188#2489C2212yescomplemented
189#2487C2214yescomplemented
190#2482C2214yes—
191#2436C2211yescharacteristic
192#2436C2212yescomplemented
193#2436C2212yescomplemented
194#2435C2211yescharacteristic
195#2434C2211yescharacteristic
196#2434C2212yescomplemented
197#2434C2212yescomplemented
198#2433C2211yescharacteristic
199#2432C2211yescharacteristic
200#2432C2211yescharacteristic
201#2432C2212yescomplemented
202#2432C2212yescomplemented
203#2431C2211yescharacteristic
204#2431C2211yescharacteristic
205#2431C2212yescomplemented
206#2431C2212yescomplemented
207#2430C2212yes—
208#2430C2212yes—
209#2430C2214yes—
210#2430C2214yescomplemented
211#2430C2214yescomplemented
212#2430C2214yescomplemented
213#2430C2214yescomplemented
214#2429C2211yescharacteristic
215#2429C2212yescomplemented
216#2429C2211yescharacteristic, complemented
217#2429C2212yescomplemented
218#2428C2211yescharacteristic
219#2428C2211yescharacteristic, complemented
220#2427C2211yescharacteristic
221#2427C2212yescomplemented
222#2427C2211yescharacteristic, complemented
223#2427C2212yescomplemented
224#2426C2211yescharacteristic
225#2426C2211yescharacteristic, complemented
226#2425C2214yescomplemented
227#2425C2214yescomplemented
228#2425C2214yescomplemented
229#2425C2212yescomplemented
230#2425C2212yescomplemented
231#2425C2214yescomplemented
232#2425C2214yescomplemented
233#2424C2212yes—
234#2424C2214yes—
235#2424C2212yes—
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2417C2212yescomplemented
239#2416C2212yes—
240#2415C2212yes—
241#2415C2212yescomplemented
242#2415C2212yescomplemented
243#2414C2214yescomplemented
244#2414C2212yescomplemented
245#2411C2214yes—
246#2410C2212yes—
247#2410C2214yes—
248#2410C2212yes—
249#2409C2212yes—
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2409C2212yescomplemented
254#2408C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2407C2212yescomplemented
261C2×#400C2212yescomplemented
262#2392C2212yes—
263#2392C2212yescomplemented
264C2×#397C2212yes—
265#2388C2212yes—
266#2388C2212yes—
267#2357C2212yescomplemented
268#2356C2212yescomplemented
269#2355C2212yescomplemented
270#2354C2212yescomplemented
271#2347C2212yescomplemented
272#2346C2212yescomplemented
273#2345C2212yescomplemented
274#2344C2212yescomplemented
275#2328C2214yescomplemented
276#2324C2214yes—
277#2321C2214yes—
278#2318C2214yescomplemented
279#2317C2214yescomplemented
280#2317C2211yescharacteristic, complemented
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic, complemented
284C4×#121C2212yes—
285C4×#121C2212yescomplemented
286C4×#120C2212yes—
287C4×#120C2212yes—
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2297C2211yescharacteristic, complemented
291#2296C2211yescharacteristic, complemented
292C2×#391C2211yescharacteristic, complemented
293C2×#391C2211yescharacteristic, complemented
294#2290C2214yescomplemented
295C2×#388C2212yes—
296C2×#382C2212yescomplemented
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—44no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—44no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2312yes—
316C22×#41C2312yes—
317C22×#41C2312yes—
318C22×#41C2314yes—
319C23×Q8C2311yescharacteristic
320C23×Q8C2311yescharacteristic
321C23×Q8C2312yes—
322C23×Q8C2312yes—
323C23×D4C2311yescharacteristic
324C23×D4C2312yes—
325C24×C4C2311yescharacteristic
326C24×C4C2312yes—
327#553—232no—
328#553—232no—
329#553—216no—
330#553—216no—
331#552—216no—
332#552—216no—
333D4×Q8—216no—
334#548—216no—
335#547—216no—
336#547—232no—
337#546—216no—
338#546—232no—
339#541—216no—
340#540—216no—
341#537—28no—
342#537—28no—
343#537—216no—
344#537—28no—
345#537—44no—
346#537—44no—
347#536—28no—
348#536—216no—
349#536—44no—
350#536—44no—
351#532—28no—
352#532—44no—
353#532—44no—
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2311yescharacteristic
357C2×C4⋊Q8C2311yescharacteristic
358C2×C4⋊Q8C2311yescharacteristic
359C2×C4⋊Q8C2312yes—
360C2×C4⋊Q8C2312yes—
361C2×#127C2311yescharacteristic
362C2×#127C2314yes—
363C2×#127C2311yescharacteristic
364C2×#127C2311yescharacteristic
365#529—216no—
366#529—216no—
367C2×#126C2314yes—
368C2×#126C2314yes—
369C2×#126C2314yes—
370C2×#126C2314yes—
371C2×#125—28no—
372C2×#125C2314yes—
373C2×#125C2312yes—
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2314yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388#525—28no—
389#525—216no—
390#525—44no—
391#525—44no—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×C22⋊Q8—28no—
406C2×C22⋊Q8—216no—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2314yes—
461C2×#121C2314yes—
462C2×#121C2311yescharacteristic
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2311yescharacteristic
467C2×#121C2311yescharacteristic
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#120C2314yes—
472C2×#120C2312yes—
473C2×#120C2314yes—
474C2×#120C2312yes—
475C2×#120C2312yes—
476C2×#120C2312yes—
477C2×#120C2312yes—
478#520—28no—
479#520D4116yescomplemented
480C4×#41—28no—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2312yes—
484C2×C4×Q8C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C2×#117C2314yes—
512C2×#117C2314yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2314yes—
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2314yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2311yescharacteristic
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2311yescharacteristic
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2311yescharacteristic
532C22×C42C2312yes—
533C22×C42C2311yescharacteristic
534C22×C42C2311yescharacteristic
535C22×C42C2312yes—
536#400C2314yes—
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#400C2314yes—
541#400C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#399C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2312yes—
558#398C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2312yes—
573#397C2314yes—
574#396C2312yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2312yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2312yes—
584#395C2314yes—
585#395C2314yes—
586#395C2312yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2312yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2312yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2312yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2312yes—
611#394C2314yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2314yes—
619#393C2312yes—
620#393C2314yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2312yes—
626#392C2314yes—
627#392C2312yes—
628#392C2312yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2312yes—
635#392C2314yes—
636#392C2314yes—
637#392C2312yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#392C2312yes—
642#392C2312yes—
643#392C2312yes—
644#392C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2311yescharacteristic
653#391C2311yescharacteristic
654#391C2311yescharacteristic
655#391C2312yes—
656#391C2311yescharacteristic
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2311yescharacteristic
662#391C2311yescharacteristic
663#391C2312yes—
664#391C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2314yes—
679#390C2311yescharacteristic
680#390C2314yes—
681#390C2314yes—
682#390C2311yescharacteristic
683#390C2314yes—
684#390C2311yescharacteristic
685#390C2311yescharacteristic
686#390C2312yes—
687#390C2314yes—
688#390C2314yes—
689#390C2311yescharacteristic
690#390C2311yescharacteristic
691#389C2312yes—
692#389C2312yes—
693#389C2314yes—
694#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2311yescharacteristic
702#389C2314yes—
703#389C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2312yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2312yes—
725#388C2312yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2314yes—
758#386C2312yes—
759#386C2312yes—
760#386C2314yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#386C2312yes—
765#386C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#384C2314yes—
787#384C2314yes—
788#384C2312yes—
789#384C2314yes—
790#383C2314yes—
791#382C2314yes—
792#382C2314yes—
793#382C2314yes—
794#382C2314yes—
795#382C2314yes—
796#382C2312yes—
797#382C2314yes—
798#382C2314yes—
799#381C2314yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2312yes—
812#380C2314yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#379C2312yes—
819#379C2314yes—
820#379C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2311yescharacteristic
848#376C2314yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2311yescharacteristic
856C2×#95C2312yes—
857C25C2411yescharacteristic
858C25C2412yes—
8592−1+4—464no—
860C2×#41—24no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—24no—
869C2×#41—28no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41—48no—
886C2×#41—48no—
887C2×#41—42no—
888C2×#41—42no—
889C2×#41—42no—
890C2×#41—42no—
891C2×#41—44no—
892C2×#41—44no—
893C2×#41—44no—
894C2×#41—44no—
895C2×#41—464no—
896C2×#41C2×D418yes—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—28no—
900C22×Q8—24no—
901C22×Q8—24no—
902C22×Q8—24no—
903C22×Q8—42no—
904C22×Q8—42no—
905C22×Q8—44no—
906C22×Q8—44no—
907C22×Q8—44no—
908C22×Q8—44no—
909C22×Q8C2411yescharacteristic
910C22×Q8C2411yescharacteristic
911C22×Q8C2412yes—
912C22×Q8C2411yescharacteristic
913C22×Q8C2412yes—
914C22×Q8C2411yescharacteristic
915C22×Q8C2411yescharacteristic
916C22×Q8C2414yes—
917C22×Q8C2412yes—
918C22×D4—28no—
919C22×D4—24no—
920C22×D4—42no—
921C22×D4—42no—
922C22×D4—44no—
923C22×D4—44no—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2411yescharacteristic
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2411yescharacteristic
931C22×D4C2411yescharacteristic
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2411yescharacteristic
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2414yes—
939C22×D4C2414yes—
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2414yes—
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2412yes—
950C22×D4C2412yes—
951C22×D4C2412yes—
952C22×D4C2412yes—
953C22×D4C2414yes—
954C22×D4C2414yes—
955C23×C4—28no—
956C23×C4—24no—
957C23×C4—24no—
958C23×C4—24no—
959C23×C4—44no—
960C23×C4—44no—
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C23×C4C2412yes—
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2411yescharacteristic
969C23×C4C2411yescharacteristic
970C23×C4C2412yes—
971C23×C4C2411yescharacteristic
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2411yescharacteristic
975C23×C4C2411yescharacteristic
976C23×C4C2412yes—
977C23×C4C2414yes—
978C23×C4C2411yescharacteristic
979C23×C4C2412yes—
980C23×C4C2414yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2414yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2414yes—
988C23×C4C2411yescharacteristic
989C4⋊Q8—24no—
990C4⋊Q8—28no—
991C4⋊Q8—216no—
992C4⋊Q8—42no—
993C4⋊Q8—42no—
994C4⋊Q8—44no—
995C4⋊Q8—44no—
996#127—24no—
997#127—48no—
998#127—42no—
999#127—42no—
1000#126—216no—
1001#126—216no—
1002#126—216no—
1003#126—216no—
1004#125—28no—
1005#125—28no—
1006#125—28no—
1007#125—28no—
1008#125—216no—
1009#125—216no—
1010#124—24no—
1011#124—24no—
1012#124—28no—
1013#124—216no—
1014#124—42no—
1015#124—42no—
1016#124—42no—
1017#124—42no—
1018#124—44no—
1019#124—44no—
1020#123—216no—
1021#123—216no—
1022#123—28no—
1023#123—216no—
1024#123—216no—
1025#123—216no—
1026#123—216no—
1027#123—216no—
1028#123—216no—
1029#123—44no—
1030#123—44no—
1031#123—48no—
1032#123—48no—
1033C22⋊Q8—28no—
1034C22⋊Q8—28no—
1035C22⋊Q8—24no—
1036C22⋊Q8—28no—
1037C22⋊Q8—28no—
1038C22⋊Q8—28no—
1039C22⋊Q8—28no—
1040C22⋊Q8—28no—
1041C22⋊Q8—216no—
1042C22⋊Q8—28no—
1043C22⋊Q8—216no—
1044C22⋊Q8—28no—
1045C22⋊Q8—24no—
1046C22⋊Q8—28no—
1047C22⋊Q8—28no—
1048C22⋊Q8—216no—
1049C22⋊Q8—28no—
1050C22⋊Q8—42no—
1051C22⋊Q8—42no—
1052C22⋊Q8—42no—
1053C22⋊Q8—42no—
1054C22⋊Q8—44no—
1055C22⋊Q8—44no—
1056C22⋊Q8—44no—
1057C22⋊Q8—44no—
1058C22⋊Q8—44no—
1059C22⋊Q8—44no—
1060C22⋊Q8—44no—
1061C22⋊Q8—44no—
1062#121—28no—
1063#121—28no—
1064#121—28no—
1065#121—216no—
1066#121—216no—
1067#121—216no—
1068#121—216no—
1069#121—216no—
1070#121—28no—
1071#121—216no—
1072#121—24no—
1073#121—24no—
1074#121—28no—
1075#121—28no—
1076#121—28no—
1077#121—216no—
1078#121—28no—
1079#121—216no—
1080#121—44no—
1081#121—48no—
1082#121—44no—
1083#121—42no—
1084#121—42no—
1085#121—42no—
1086#121—42no—
1087#121—44no—
1088#121—44no—
1089#121—44no—
1090#121—44no—
1091#121—44no—
1092#121—44no—
1093#121—44no—
1094#121—44no—
1095#121—48no—
1096#121—48no—
1097#120—28no—
1098#120—216no—
1099#120—44no—
1100#120—44no—
1101#120—48no—
1102#120—44no—
1103#120—44no—
1104C4×Q8—24no—
1105C4×Q8—24no—
1106C4×Q8—28no—
1107C4×Q8C2×D4116yes—
1108C4×D4—216no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—216no—
1116C4×D4—28no—
1117C4×D4—28no—
1118C4×D4—216no—
1119C4×D4—28no—
1120C4×D4—216no—
1121C4×D4—216no—
1122C4×D4—44no—
1123C4×D4—44no—
1124C4×D4—44no—
1125C4×D4—44no—
1126C4×D4—44no—
1127C4×D4—44no—
1128C4×D4—44no—
1129C4×D4—44no—
1130C4×D4C2×D4116yes—
1131C4×D4C2×D4132yes—
1132#117—216no—
1133#117—24no—
1134#117—24no—
1135#117—28no—
1136#117—28no—
1137#117—216no—
1138#117—48no—
1139#117C2×D418yes—
1140#117C2×D4116yes—
1141C2×C4⋊C4—24no—
1142C2×C4⋊C4—28no—
1143C2×C4⋊C4—216no—
1144C2×C4⋊C4—28no—
1145C2×C4⋊C4—28no—
1146C2×C4⋊C4—24no—
1147C2×C4⋊C4—28no—
1148C2×C4⋊C4C2×D418yes—
1149C2×C4⋊C4C2×D4116yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2414yes—
1201C2×C22⋊C4—28no—
1202C2×C22⋊C4—216no—
1203C2×C22⋊C4—42no—
1204C2×C22⋊C4—42no—
1205C2×C22⋊C4—44no—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2411yescharacteristic
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2414yes—
1283C2×C42—24no—
1284C2×C42—24no—
1285C2×C42—28no—
1286C2×C42—44no—
1287C2×C42C2414yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2414yes—
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2414yes—
1302C2×C42C2414yes—
1303C2×C42C2414yes—
1304C2×C42C2412yes—
1305C2×C42C2414yes—
1306#95C2411yescharacteristic
1307#95C2411yescharacteristic
1308#95C2411yescharacteristic
1309#95C2411yescharacteristic
1310#95C2411yescharacteristic
1311#95C2411yescharacteristic
1312#95C2411yescharacteristic
1313#95C2411yescharacteristic
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2412yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2414yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2412yes—
1345#95C2414yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2414yes—
1349#95C2414yes—
1350#95C2414yes—
1351#95C2414yes—
1352C24—22no—
1353C24—24no—
1354C24—22no—
1355C24—22no—
1356C24—22no—
1357C24—24no—
1358C24—41no—
1359C24—42no—
1360C24—42no—
1361C24—41no—
1362C24—41no—
1363C24—42no—
1364C24—42no—
1365C24—42no—
1366C24C2511yescharacteristic
1367C24C2512yes—
1368C24C2512yes—
1369C24C2512yes—
1370C24C2512yes—
1371C24C2512yes—
1372C24C2511yescharacteristic
1373C24C2511yescharacteristic
1374#41—232no—
1375#41—432no—
1376#41—432no—
1377#41—432no—
1378#41—416no—
1379#41—464no—
1380#41—432no—
1381#41—416no—
1382#41—416no—
1383#41—416no—
1384#41—416no—
1385#41—416no—
1386C2×Q8—22no—
1387C2×Q8—22no—
1388C2×Q8—24no—
1389C2×Q8—22no—
1390C2×Q8—28no—
1391C2×Q8—24no—
1392C2×Q8—24no—
1393C2×Q8—22no—
1394C2×Q8—22no—
1395C2×Q8—22no—
1396C2×Q8—22no—
1397C2×Q8—22no—
1398C2×Q8—22no—
1399C2×Q8—24no—
1400C2×Q8—24no—
1401C2×Q8—22no—
1402C2×Q8—22no—
1403C2×Q8—22no—
1404C2×Q8—24no—
1405C2×Q8—24no—
1406C2×Q8—22no—
1407C2×Q8—22no—
1408C2×Q8—44no—
1409C2×Q8—44no—
1410C2×Q8—42no—
1411C2×Q8—42no—
1412C2×Q8—432no—
1413C2×Q8—416no—
1414C2×Q8—432no—
1415C2×Q8—416no—
1416C2×Q8C22×D414yes—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—28no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—28no—
1436C2×D4—24no—
1437C2×D4—24no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—22no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—24no—
1445C2×D4—22no—
1446C2×D4—24no—
1447C2×D4—28no—
1448C2×D4—28no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—22no—
1452C2×D4—22no—
1453C2×D4—22no—
1454C2×D4—22no—
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—22no—
1458C2×D4—22no—
1459C2×D4—24no—
1460C2×D4—24no—
1461C2×D4—42no—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—42no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—42no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—42no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—44no—
1480C2×D4—42no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—42no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—42no—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—44no—
1498C2×D4—42no—
1499C2×D4—42no—
1500C2×D4—42no—
1501C2×D4—42no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—44no—
1508C2×D4—432no—
1509C2×D4—416no—
1510C2×D4C22×D418yes—
1511C2×D4C22×D414yes—
1512C22×C4—24no—
1513C22×C4—24no—
1514C22×C4—28no—
1515C22×C4—24no—
1516C22×C4—24no—
1517C22×C4—22no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—24no—
1522C22×C4—24no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—24no—
1526C22×C4—22no—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—24no—
1530C22×C4—28no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—22no—
1534C22×C4—24no—
1535C22×C4—22no—
1536C22×C4—22no—
1537C22×C4—22no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—24no—
1542C22×C4—22no—
1543C22×C4—22no—
1544C22×C4—22no—
1545C22×C4—22no—
1546C22×C4—24no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—22no—
1550C22×C4—22no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—24no—
1554C22×C4—24no—
1555C22×C4—22no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—28no—
1559C22×C4—42no—
1560C22×C4—44no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—44no—
1569C22×C4—41no—
1570C22×C4—44no—
1571C22×C4—44no—
1572C22×C4—44no—
1573C22×C4—44no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—44no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—44no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—432no—
1591C22×C4—416no—
1592C22×C4C22×D418yes—
1593C22×C4C22×D418yes—
1594C22×C4C22×D4116yes—
1595C22×C4C22×D414yes—
1596C22×C4H(5,𝔽2)14yes—
1597C22×C4H(5,𝔽2)14yes—
1598C22×C4C2511yescharacteristic
1599C22×C4C2511yescharacteristic
1600C22×C4C2512yes—
1601C22×C4C2514yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2511yescharacteristic
1604C22×C4C2511yescharacteristic
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2511yescharacteristic
1609C22×C4C2514yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2514yes—
1613C22×C4C2511yescharacteristic
1614C22×C4C2511yescharacteristic
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2514yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2511yescharacteristic
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—28no—
1628C4⋊C4—28no—
1629C4⋊C4—28no—
1630C4⋊C4—24no—
1631C4⋊C4—28no—
1632C4⋊C4—28no—
1633C4⋊C4—28no—
1634C4⋊C4—28no—
1635C4⋊C4—28no—
1636C4⋊C4—28no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—28no—
1640C4⋊C4—28no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—28no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—22no—
1648C4⋊C4—22no—
1649C4⋊C4—22no—
1650C4⋊C4—22no—
1651C4⋊C4—24no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—44no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—44no—
1664C4⋊C4—42no—
1665C4⋊C4—44no—
1666C4⋊C4—44no—
1667C4⋊C4—44no—
1668C4⋊C4—44no—
1669C4⋊C4—44no—
1670C4⋊C4—44no—
1671C4⋊C4C22×D414yes—
1672C4⋊C4C22×D414yes—
1673C4⋊C4C22×D418yes—
1674C4⋊C4C22×D418yes—
1675C4⋊C4C22×D4116yes—
1676C22⋊C4—24no—
1677C22⋊C4—28no—
1678C22⋊C4—24no—
1679C22⋊C4—24no—
1680C22⋊C4—24no—
1681C22⋊C4—22no—
1682C22⋊C4—28no—
1683C22⋊C4—22no—
1684C22⋊C4—24no—
1685C22⋊C4—28no—
1686C22⋊C4—28no—
1687C22⋊C4—28no—
1688C22⋊C4—28no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—28no—
1693C22⋊C4—28no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—28no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—28no—
1700C22⋊C4—28no—
1701C22⋊C4—28no—
1702C22⋊C4—22no—
1703C22⋊C4—22no—
1704C22⋊C4—24no—
1705C22⋊C4—41no—
1706C22⋊C4—41no—
1707C22⋊C4—41no—
1708C22⋊C4—44no—
1709C22⋊C4—41no—
1710C22⋊C4—42no—
1711C22⋊C4—42no—
1712C22⋊C4—42no—
1713C22⋊C4—42no—
1714C22⋊C4—42no—
1715C22⋊C4—44no—
1716C22⋊C4—44no—
1717C22⋊C4—42no—
1718C22⋊C4—44no—
1719C22⋊C4—42no—
1720C22⋊C4—42no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—44no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—44no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—44no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—44no—
1751C22⋊C4C22×D418yes—
1752C22⋊C4C22×D4116yes—
1753C42—22no—
1754C42—24no—
1755C42—24no—
1756C42—22no—
1757C42—22no—
1758C42—22no—
1759C42—28no—
1760C42—22no—
1761C42—22no—
1762C42—22no—
1763C42—22no—
1764C42—24no—
1765C42—24no—
1766C42—28no—
1767C42—44no—
1768C42—44no—
1769C42—44no—
1770C42C22×D418yes—
1771C42C22×D4116yes—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—22no—
1780C23—22no—
1781C23—22no—
1782C23—21no—
1783C23—22no—
1784C23—22no—
1785C23—22no—
1786C23—21no—
1787C23—21no—
1788C23—22no—
1789C23—22no—
1790C23—21no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—22no—
1795C23—22no—
1796C23—22no—
1797C23—21no—
1798C23—21no—
1799C23—22no—
1800C23—22no—
1801C23—22no—
1802C23—22no—
1803C23—21no—
1804C23—21no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—21no—
1822C23—21no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—48no—
1827C23—48no—
1828C23—44no—
1829C23—82no—
1830C23—82no—
1831C23—82no—
1832C23—84no—
1833C23—84no—
1834C23—84no—
1835C23—84no—
1836C23—84no—
1837C23C23×D414yes—
1838C23C23×D412yes—
1839C23C2×H(5,𝔽2)12yes—
1840C23C2×H(5,𝔽2)12yes—
1841C23#58512yes—
1842C23C2611yescharacteristic
1843Q8—28no—
1844Q8—416no—
1845Q8—48no—
1846Q8—48no—
1847Q8—44no—
1848Q8—48no—
1849Q8—44no—
1850Q8—44no—
1851Q8—44no—
1852D4—216no—
1853D4—28no—
1854D4—48no—
1855D4—48no—
1856D4—48no—
1857D4—48no—
1858D4—416no—
1859D4—48no—
1860D4—48no—
1861D4—48no—
1862D4—48no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—84no—
1868D4—88no—
1869D4—88no—
1870D4—84no—
1871D4—84no—
1872D4—84no—
1873D4—88no—
1874D4—84no—
1875D4—84no—
1876D4—84no—
1877D4—84no—
1878D4—84no—
1879D4—84no—
1880D4—84no—
1881D4—164no—
1882D4—164no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—24no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—24no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—216no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—24no—
1901C2×C4—22no—
1902C2×C4—24no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—24no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—24no—
1927C2×C4—24no—
1928C2×C4—24no—
1929C2×C4—21no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—24no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—24no—
1939C2×C4—21no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—24no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—416no—
1955C2×C4—48no—
1956C2×C4—44no—
1957C2×C4—48no—
1958C2×C4—48no—
1959C2×C4—416no—
1960C2×C4—48no—
1961C2×C4—416no—
1962C2×C4—44no—
1963C2×C4—48no—
1964C2×C4—44no—
1965C2×C4—44no—
1966C2×C4—44no—
1967C2×C4—44no—
1968C2×C4—48no—
1969C2×C4—48no—
1970C2×C4—48no—
1971C2×C4—48no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—88no—
1975C2×C4—82no—
1976C2×C4—82no—
1977C2×C4—84no—
1978C2×C4—84no—
1979C2×C4—82no—
1980C2×C4#535116yes—
1981C2×C4C23×D414yes—
1982C2×C4C23×D414yes—
1983C2×C4C23×D414yes—
1984C2×C4C23×D418yes—
1985C2×C4C23×D412yes—
1986C2×C4C23×D412yes—
1987C2×C4C2×H(5,𝔽2)12yes—
1988C2×C4C2×H(5,𝔽2)12yes—
1989C2×C4C2×H(5,𝔽2)12yes—
1990C2×C4C2×H(5,𝔽2)12yes—
1991C2×C4#58512yes—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—24no—
1999C22—22no—
2000C22—24no—
2001C22—22no—
2002C22—22no—
2003C22—24no—
2004C22—41no—
2005C22—42no—
2006C22—42no—
2007C22—41no—
2008C22—42no—
2009C22—42no—
2010C22—41no—
2011C22—41no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—41no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—41no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—41no—
2027C22—41no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—41no—
2042C22—42no—
2043C22—42no—
2044C22—41no—
2045C22—42no—
2046C22—42no—
2047C22—88no—
2048C22—816no—
2049C22C2×#53514yes—
2050C22C24×D411yescharacteristic
2051C22C22×H(5,𝔽2)11yescharacteristic
2052C22C22×H(5,𝔽2)11yescharacteristic
2053C22C2×#58511yescharacteristic
2054C22C2×#58511yescharacteristic
2055C222−1+611yescharacteristic
2056C222−1+611yescharacteristic
2057C4—24no—
2058C4—28no—
2059C4—24no—
2060C4—22no—
2061C4—24no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—44no—
2066C4—41no—
2067C4—44no—
2068C4—42no—
2069C4—42no—
2070C4—41no—
2071C4—41no—
2072C4—41no—
2073C4—42no—
2074C4—42no—
2075C4—41no—
2076C4—41no—
2077C4—42no—
2078C4—42no—
2079C4—44no—
2080C4—42no—
2081C4—42no—
2082C4C2×#53514yes—
2083C4C2×#53514yes—
2084C2—24no—
2085C2—44no—
2086C2—42no—
2087C2—82no—
2088C2—82no—
2089C2—82no—
2090C2—82no—
2091C2—81no—
2092C2C22×#53511yescharacteristic
2093C2#6283011yescharacteristic
2094C2#6288811yescharacteristic
2095C2#6292711yescharacteristic
2096C2#6292711yescharacteristic
2097C2#6298811yescharacteristic
2098C2#6300211yescharacteristic
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×#3512C2semidirect
2. C2×#3489C2semidirect
3. #42994C2semidirect
4. #42910C2semidirect
5. #42800C2semidirect
6. #42792C2semidirect
7. #42652C2semidirect
8. #42643C2semidirect
9. #42438C2semidirect
10. #42433C2semidirect
11. #41413C2semidirect
12. #41410C2semidirect
13. #39887C2semidirect
14. #39881C2semidirect
15. #39862C2semidirect
16. #39858C2semidirect
17. #39722C2semidirect
18. #39124C2semidirect
19. #38920C2semidirect
20. #38917C2semidirect
21. #38423C2semidirect
22. #37864C2semidirect
23. #35660C2semidirect
24. #35660C2semidirect
25. #35649C2semidirect
26. #35634C2semidirect
27. #35621C2semidirect
28. #35518C2semidirect
29. #35308C2semidirect
30. #35251C2semidirect
31. #35166C2semidirect
32. C2×#2489C2semidirect
33. #34743C2semidirect
34. #34738C2semidirect
35. #34252C2semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
52. C2×#541C22semidirect
53. C2×#540C22semidirect
58. C2×#537C22semidirect
59. C2×#537C22semidirect
62. C2×#536C22semidirect
63. C2×#536C22semidirect
66. C2×#532C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C22×#125C22semidirect
77. C2×#520C22semidirect
78. C2×C4×#41C22semidirect
79. #2857C22semidirect
80. #2856C22semidirect
81. #2850C22semidirect
84. #2821C22semidirect
85. #2820C22semidirect
86. #2815C22semidirect
87. #2813C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2723C22semidirect
95. #2720C22semidirect
96. #2720C22semidirect
97. #2718C22semidirect
98. #2718C22semidirect
99. #2718C22semidirect
100. #2714C22semidirect
101. #2714C22semidirect
102. #2711C22semidirect
103. #2706C22semidirect
104. #2706C22semidirect
105. #2706C22semidirect
106. #2706C22semidirect
107. #2706C22semidirect
108. #2706C22semidirect
109. #2703C22semidirect
110. #2703C22semidirect
111. #2703C22semidirect
113. #2696C22semidirect
114. #2696C22semidirect
118. #2673C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2660C22semidirect
123. #2656C22semidirect
124. #2636C22semidirect
125. #2635C22semidirect
127. #2631C22semidirect
128. #2628C22semidirect
129. #2624C22semidirect
130. #2623C22semidirect
131. #2621C22semidirect
132. #2620C22semidirect
133. #2619C22semidirect
137. #2610C22semidirect
139. #2598C22semidirect
140. #2591C22semidirect
141. #2566C22semidirect
142. #2563C22semidirect
143. #2547C22semidirect
144. #2546C22semidirect
145. #2545C22semidirect
146. #2544C22semidirect
149. #2542C22semidirect
150. #2542C22semidirect
151. #2542C22semidirect
152. #2542C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
164. #2538C22semidirect
168. #2535C22semidirect
169. #2504C22semidirect
170. #2504C22semidirect
171. #2501C22semidirect
172. #2500C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
181. #2489C22semidirect
182. #2489C22semidirect
183. #2489C22semidirect
184. #2489C22semidirect
185. #2489C22semidirect
186. #2489C22semidirect
187. #2489C22semidirect
188. #2489C22semidirect
189. #2487C22semidirect
192. #2436C22semidirect
193. #2436C22semidirect
196. #2434C22semidirect
197. #2434C22semidirect
201. #2432C22semidirect
202. #2432C22semidirect
205. #2431C22semidirect
206. #2431C22semidirect
210. #2430C22semidirect
211. #2430C22semidirect
212. #2430C22semidirect
213. #2430C22semidirect
215. #2429C22semidirect
216. #2429C22semidirect
217. #2429C22semidirect
219. #2428C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
223. #2427C22semidirect
225. #2426C22semidirect
226. #2425C22semidirect
227. #2425C22semidirect
228. #2425C22semidirect
229. #2425C22semidirect
230. #2425C22semidirect
231. #2425C22semidirect
232. #2425C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
261. C2×#400C22semidirect
263. #2392C22semidirect
267. #2357C22semidirect
268. #2356C22semidirect
269. #2355C22semidirect
270. #2354C22semidirect
271. #2347C22semidirect
272. #2346C22semidirect
273. #2345C22semidirect
274. #2344C22semidirect
275. #2328C22semidirect
278. #2318C22semidirect
279. #2317C22semidirect
280. #2317C22semidirect
283. #2311C22semidirect
285. C4×#121C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. C2×#391C22semidirect
293. C2×#391C22semidirect
294. #2290C22semidirect
296. C2×#382C22semidirect
298. #2274C22semidirect
299. C2×C4×C4⋊C4C22semidirect
479. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#34892
#429942
#429102
#428002
#427922
#426522
#426432
#424382
#424332
#414132
#414102
#398872
#398812
#398622
#398582
#397222
#391242
#389202
#389172
#384232
#378642
#356602
#356492
#356342
#356212
#355182
#353082
#352512
#351662
C2×#24892
#347432
#347382
#342522