Finite Group Databasebeta

← #7658147

Subgroups — #7658147

Order 512.

7031 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42987C211yesmaximal, characteristic, complemented
4#42986C211yesmaximal, characteristic, complemented
5#42915C211yesmaximal, characteristic, complemented
6#42914C211yesmaximal, characteristic, complemented
7#42477C212yesmaximal, complemented
8#42476C212yesmaximal, complemented
9#42309C212yesmaximal, complemented
10#42308C212yesmaximal, complemented
11#41951C212yesmaximal, complemented
12#41950C212yesmaximal, complemented
13#41415C214yesmaximal, complemented
14#40597C214yesmaximal, complemented
15#39866C212yesmaximal, complemented
16#39862C212yesmaximal, complemented
17#38386C214yesmaximal, complemented
18#38382C214yesmaximal, complemented
19#37550C212yesmaximal, complemented
20#37543C212yesmaximal, complemented
21#37448C211yesmaximal, characteristic, complemented
22#37445C211yesmaximal, characteristic, complemented
23#36235C212yesmaximal, complemented
24#36231C212yesmaximal, complemented
25#36087C211yesmaximal, characteristic, complemented
26#36080C211yesmaximal, characteristic, complemented
27#36015C212yesmaximal, complemented
28#36004C211yesmaximal, characteristic, complemented
29#35982C211yesmaximal, characteristic, complemented
30#35768C212yesmaximal, complemented
31#35190C212yesmaximal, complemented
32#35076C211yesmaximal, characteristic, complemented
33#34636C212yesmaximal, complemented
34#34562C211yesmaximal, characteristic, complemented
35#34179C211yesmaximal, characteristic, complemented
36#3494—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic
39C2×#555C2212yes—
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2212yes—
43C2×#553C2211yescharacteristic
44C2×#553C2212yescomplemented
45C2×#553C2211yescharacteristic, complemented
46C2×#552C2211yescharacteristic
47C2×#552C2212yescomplemented
48C2×#552C2211yescharacteristic, complemented
49C2×#551C2212yes—
50C2×#551C2212yescomplemented
51C2×#551C2214yescomplemented
52C2×#547C2212yescomplemented
53C2×#547C2211yescharacteristic, complemented
54C2×#546C2214yes—
55C2×#546C2212yes—
56C2×#544C2211yescharacteristic, complemented
57C2×#542C2212yes—
58C2×#540C2212yes—
59C2×#535C2211yescharacteristic, complemented
60C2×#533C2211yescharacteristic, complemented
61C2×#532C2212yescomplemented
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#529C2212yescomplemented
65C2×#529C2212yescomplemented
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic, complemented
69C22×#121C2211yescharacteristic
70C2×#520C2211yescharacteristic, complemented
71C2×#518C2211yescharacteristic, complemented
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic
75C22×#117C2211yescharacteristic
76C22×#117C2211yescharacteristic, complemented
77#2854C2212yes—
78#2850C2214yescomplemented
79#2850C2214yescomplemented
80#2847C2212yes—
81#2821C2212yescomplemented
82#2821C2212yescomplemented
83#2818C2212yescomplemented
84#2818C2212yescomplemented
85#2814C2214yescomplemented
86#2813C2212yes—
87#2813C2212yes—
88#2813C2214yescomplemented
89#2812C2214yes—
90#2707C2214yescomplemented
91#2706C2214yescomplemented
92#2705C2214yescomplemented
93#2704C2214yescomplemented
94#2703C2214yescomplemented
95#2702C2214yescomplemented
96#2700C2214yes—
97#2698C2214yescomplemented
98#2687C2214yescomplemented
99#2685C2214yescomplemented
100#2683C2214yescomplemented
101#2682C2214yescomplemented
102#2681C2214yes—
103#2681C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2680C2214yescomplemented
107#2680C2214yescomplemented
108#2678C2214yescomplemented
109#2678C2214yescomplemented
110#2672C2214yescomplemented
111#2670C2214yes—
112#2669C2214yes—
113#2669C2214yescomplemented
114#2664C2212yescomplemented
115#2664C2212yescomplemented
116#2663C2212yescomplemented
117#2662C2212yescomplemented
118#2662C2212yescomplemented
119#2661C2212yescomplemented
120#2661C2214yescomplemented
121#2661C2214yescomplemented
122#2638C2211yescharacteristic, complemented
123#2638C2211yescharacteristic, complemented
124#2638C2212yescomplemented
125#2637C2214yescomplemented
126#2636C2214yescomplemented
127#2635C2212yes—
128#2635C2212yes—
129#2635C2211yescharacteristic, complemented
130#2635C2211yescharacteristic, complemented
131#2635C2212yescomplemented
132#2635C2212yescomplemented
133#2635C2212yescomplemented
134#2634C2212yescomplemented
135#2634C2212yescomplemented
136#2633C2212yescomplemented
137#2633C2212yescomplemented
138#2632C2212yescomplemented
139#2632C2212yescomplemented
140#2631C2212yescomplemented
141#2631C2212yescomplemented
142#2630C2212yes—
143#2630C2212yes—
144#2630C2214yescomplemented
145#2630C2214yescomplemented
146#2627C2211yescharacteristic, complemented
147#2626C2211yescharacteristic, complemented
148#2625C2211yescharacteristic, complemented
149#2624C2211yescharacteristic, complemented
150#2622C2212yes—
151#2620C2212yescomplemented
152#2619C2212yescomplemented
153#2618C2211yescharacteristic, complemented
154#2617C2211yescharacteristic, complemented
155#2616C2211yescharacteristic, complemented
156#2616C2214yescomplemented
157#2615C2211yescharacteristic, complemented
158#2615C2214yescomplemented
159#2613C2212yes—
160#2613C2214yes—
161#2610C2214yescomplemented
162#2610C2214yescomplemented
163#2609C2214yescomplemented
164#2609C2214yescomplemented
165#2604C2214yescomplemented
166#2603C2214yescomplemented
167#2602C2214yescomplemented
168#2602C2214yescomplemented
169#2602C2214yescomplemented
170#2598C2212yescomplemented
171#2598C2212yescomplemented
172#2598C2212yescomplemented
173#2598C2212yescomplemented
174#2591C2212yes—
175#2568C2212yescomplemented
176#2562C2212yescomplemented
177#2562C2212yescomplemented
178#2560C2214yescomplemented
179#2558C2214yescomplemented
180#2554C2214yescomplemented
181#2554C2214yescomplemented
182#2552C2212yescomplemented
183#2550C2212yescomplemented
184#2548C2212yescomplemented
185#2542C2212yescomplemented
186#2541C2212yescomplemented
187#2541C2212yescomplemented
188#2540C2212yescomplemented
189#2540C2212yescomplemented
190#2540C2212yescomplemented
191#2539C2212yes—
192#2536C2214yescomplemented
193#2535C2214yescomplemented
194#2534C2214yescomplemented
195#2519C2214yescomplemented
196#2512C2214yescomplemented
197#2503C2211yescharacteristic, complemented
198#2501C2211yescharacteristic, complemented
199#2500C2212yes—
200#2500C2214yescomplemented
201#2491C2212yescomplemented
202#2490C2212yescomplemented
203#2490C2212yescomplemented
204#2489C2212yescomplemented
205#2487C2211yescharacteristic
206#2487C2211yescharacteristic
207#2485C2212yescomplemented
208#2480C2214yescomplemented
209#2476C2214yescomplemented
210#2474C2214yescomplemented
211#2472C2214yescomplemented
212#2472C2214yescomplemented
213#2468C2214yescomplemented
214#2464C2214yes—
215#2464C2214yescomplemented
216#2461C2214yescomplemented
217#2461C2214yescomplemented
218#2461C2214yescomplemented
219#2459C2214yescomplemented
220#2457C2214yes—
221#2456C2214yescomplemented
222#2454C2212yescomplemented
223#2452C2212yescomplemented
224#2452C2212yescomplemented
225#2451C2212yescomplemented
226#2445C2214yescomplemented
227#2442C2212yescomplemented
228#2440C2212yescomplemented
229#2440C2212yescomplemented
230#2439C2212yescomplemented
231#2435C2211yescharacteristic, complemented
232#2433C2211yescharacteristic, complemented
233#2431C2212yes—
234#2431C2214yescomplemented
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2427C2212yescomplemented
238#2426C2212yescomplemented
239#2424C2214yes—
240#2424C2214yescomplemented
241#2418C2214yes—
242#2417C2212yescomplemented
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2415C2212yescomplemented
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yescomplemented
249#2414C2212yescomplemented
250#2408C2211yescharacteristic
251#2408C2211yescharacteristic
252#2407C2212yescomplemented
253#2407C2214yescomplemented
254#2407C2214yescomplemented
255#2405C2212yes—
256#2403C2212yes—
257#2396C2212yescomplemented
258#2396C2212yescomplemented
259#2395C2211yescharacteristic
260#2395C2211yescharacteristic
261#2395C2214yescomplemented
262#2392C2212yescomplemented
263#2392C2212yescomplemented
264#2392C2212yescomplemented
265#2392C2212yescomplemented
266#2388C2211yescharacteristic
267#2388C2211yescharacteristic
268#2388C2214yescomplemented
269#2367C2212yescomplemented
270#2366C2212yescomplemented
271#2363C2212yescomplemented
272#2363C2212yescomplemented
273#2362C2212yescomplemented
274#2361C2212yescomplemented
275#2354C2212yescomplemented
276#2352C2212yescomplemented
277#2347C2212yescomplemented
278#2347C2212yescomplemented
279#2347C2211yescharacteristic, complemented
280#2347C2211yescharacteristic, complemented
281#2347C2211yescharacteristic, complemented
282#2347C2211yescharacteristic, complemented
283#2346C2212yescomplemented
284#2346C2212yescomplemented
285#2346C2214yescomplemented
286#2328C2214yescomplemented
287#2326C2214yescomplemented
288#2321C2212yes—
289#2321C2212yes—
290#2316C2212yescomplemented
291#2312C2214yes—
292C4×#123C2212yescomplemented
293C4×#120C2212yescomplemented
294#2290C2214yescomplemented
295#2290C2214yescomplemented
296#2283C2212yescomplemented
297#2283C2212yescomplemented
298#2280C2211yescharacteristic
299#2280C2211yescharacteristic
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C24×C4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310#556—28no—
311#555—28no—
312#555—216no—
313#554—28no—
314#553—28no—
315#553—216no—
316#553—28no—
317#553—216no—
318#552—28no—
319#552—216no—
320#552—28no—
321#551—216no—
322#551—232no—
323#551—216no—
324#547—28no—
325#547—216no—
326#546—216no—
327#546—232no—
328#544—28no—
329#542—216no—
330#540—216no—
331#535—28no—
332#533—28no—
333#532—216no—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2312yes—
339C2×#127C2314yes—
340C2×#127C2312yes—
341#529—216no—
342#529—216no—
343#529—216no—
344#529—216no—
345C2×#126C2314yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#124C2314yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368#525—28no—
369#525—28no—
370#525—28no—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×#121—28no—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2311yescharacteristic
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440#520—28no—
441#518—28no—
442C4×#41—28no—
443C4×#41—216no—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—28no—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×#117—28no—
485C2×#117D4116yescomplemented
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2311yescharacteristic
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2312yes—
519C22×C42C2312yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2312yes—
523#400C2311yescharacteristic
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2311yescharacteristic
528#400C2312yes—
529#400C2312yes—
530#400C2314yes—
531#400C2314yes—
532#399C2311yescharacteristic
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2311yescharacteristic
537#399C2312yes—
538#399C2312yes—
539#399C2314yes—
540#399C2314yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2311yescharacteristic
548#398C2311yescharacteristic
549#398C2312yes—
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2311yescharacteristic
561#397C2311yescharacteristic
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2312yes—
573#396C2312yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2312yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2314yes—
585#395C2312yes—
586#395C2311yescharacteristic
587#395C2311yescharacteristic
588#395C2314yes—
589#394C2314yes—
590#394C2311yescharacteristic
591#394C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2312yes—
599#394C2311yescharacteristic
600#394C2312yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2314yes—
615#394C2314yes—
616#394C2312yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#393C2314yes—
631#393C2314yes—
632#393C2314yes—
633#393C2314yes—
634#393C2312yes—
635#393C2311yescharacteristic
636#393C2311yescharacteristic
637#392C2311yescharacteristic
638#392C2312yes—
639#392C2314yes—
640#392C2314yes—
641#392C2312yes—
642#392C2312yes—
643#392C2314yes—
644#392C2314yes—
645#392C2311yescharacteristic
646#392C2312yes—
647#392C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2312yes—
653#392C2314yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#391C2314yes—
664#391C2314yes—
665#391C2314yes—
666#391C2312yes—
667#391C2312yes—
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2314yes—
679#390C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2312yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2314yes—
742#387C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2314yes—
764#386C2312yes—
765#386C2312yes—
766#386C2314yes—
767#386C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2312yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#385C2314yes—
782#385C2314yes—
783#384C2314yes—
784#384C2312yes—
785#383C2312yes—
786#383C2312yes—
787#383C2312yes—
788#383C2312yes—
789#382C2314yes—
790#382C2314yes—
791#382C2314yes—
792#382C2312yes—
793#381C2312yes—
794#381C2314yes—
795#381C2312yes—
796#381C2311yescharacteristic
797#381C2311yescharacteristic
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2311yescharacteristic
811#380C2311yescharacteristic
812#380C2312yes—
813#380C2312yes—
814#379C2312yes—
815#379C2312yes—
816#379C2312yes—
817#379C2312yes—
818#379C2312yes—
819#379C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2314yes—
850#376C2314yes—
851C25C2411yescharacteristic
852C25C2412yes—
853C25C2411yescharacteristic
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—216no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—84no—
863C2×#41—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2414yes—
869C22×D4—24no—
870C22×D4—28no—
871C22×D4—24no—
872C22×D4—44no—
873C22×D4—42no—
874C22×D4—42no—
875C22×D4—84no—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C23×C4—24no—
904C23×C4—44no—
905C23×C4—44no—
906C23×C4C2×D418yes—
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—28no—
936#127—28no—
937#127—44no—
938#127—48no—
939#126—28no—
940#126—28no—
941#126—216no—
942#126—28no—
943#126—28no—
944#126—216no—
945#126—28no—
946#126—28no—
947#125—28no—
948#125—28no—
949#125—24no—
950#125—24no—
951#125—28no—
952#125—28no—
953#125—28no—
954#124—28no—
955#124—28no—
956#124—216no—
957#124—28no—
958#124—28no—
959#124—216no—
960#124—44no—
961#124—48no—
962#123—28no—
963#123—28no—
964#123—216no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—216no—
970#123—216no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—44no—
976#123—84no—
977#123—84no—
978C22⋊Q8—24no—
979C22⋊Q8—24no—
980C22⋊Q8—24no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—44no—
992C22⋊Q8—84no—
993C22⋊Q8—84no—
994C22⋊Q8—84no—
995C22⋊Q8—84no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—24no—
1001#121—24no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—216no—
1006#121—24no—
1007#121—24no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—216no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—84no—
1018#121—84no—
1019#121—84no—
1020#121—84no—
1021#120—28no—
1022#120—28no—
1023#120—28no—
1024#120—216no—
1025#120—44no—
1026#120—44no—
1027#120—44no—
1028#120—84no—
1029#120—84no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—28no—
1035C4×Q8—28no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—48no—
1068C4×D4—48no—
1069#117—24no—
1070#117—28no—
1071#117—24no—
1072#117—24no—
1073#117—24no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—216no—
1081#117—44no—
1082#117—44no—
1083#117C2×D418yes—
1084#117C2×D418yes—
1085#117C2×D418yes—
1086#117C2×D4116yes—
1087#117C2×D418yes—
1088#117C2×D4116yes—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4C2×D418yes—
1095C2×C4⋊C4C2×D418yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C22⋊C4—24no—
1154C2×C22⋊C4—24no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—216no—
1158C2×C22⋊C4C2×D4116yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C42—24no—
1241C2×C42—28no—
1242C2×C42—28no—
1243C2×C42C2×D4116yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2411yescharacteristic
1277#95C2412yes—
1278#95C2411yescharacteristic
1279#95C2412yes—
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—22no—
1310C24—24no—
1311C24—22no—
1312C24—42no—
1313C24—42no—
1314C24—41no—
1315C24—41no—
1316C24—41no—
1317C24—42no—
1318C24—44no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—44no—
1323C24C22×D414yes—
1324C24C2511yescharacteristic
1325C24C2514yes—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2511yescharacteristic
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331C24C2511yescharacteristic
1332#41—416no—
1333#41—416no—
1334#41—432no—
1335#41—832no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—42no—
1344C2×Q8—42no—
1345C2×Q8—44no—
1346C2×Q8—44no—
1347C2×Q8—44no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—28no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—28no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—44no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—416no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—416no—
1425C2×D4—816no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—28no—
1452C22×C4—28no—
1453C22×C4—416no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—41no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—42no—
1476C22×C4—44no—
1477C22×C4—416no—
1478C22×C4C22×D414yes—
1479C22×C4C22×D414yes—
1480C22×C4C22×D414yes—
1481C22×C4C22×D414yes—
1482C22×C4C22×D418yes—
1483C22×C4C22×D418yes—
1484C22×C4C22×D414yes—
1485C22×C4C22×D414yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—28no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—42no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D414yes—
1568C4⋊C4C22×D418yes—
1569C4⋊C4C22×D418yes—
1570C22⋊C4—24no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4C22×D418yes—
1648C22⋊C4C22×D418yes—
1649C22⋊C4C22×D418yes—
1650C22⋊C4C22×D418yes—
1651C42—22no—
1652C42—24no—
1653C42—22no—
1654C42—24no—
1655C42—24no—
1656C42—24no—
1657C42—22no—
1658C42—22no—
1659C42—24no—
1660C42—28no—
1661C42—24no—
1662C42—24no—
1663C42—24no—
1664C42—44no—
1665C42—44no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C42C22×D418yes—
1670C42C22×D418yes—
1671C42C22×D418yes—
1672C42C22×D418yes—
1673C23—21no—
1674C23—22no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—21no—
1690C23—22no—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—24no—
1695C23—22no—
1696C23—24no—
1697C23—22no—
1698C23—24no—
1699C23—21no—
1700C23—22no—
1701C23—22no—
1702C23—24no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—22no—
1708C23—24no—
1709C23—24no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—44no—
1714C23—44no—
1715C23—44no—
1716C23—44no—
1717C23—44no—
1718C23—48no—
1719C23—82no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—84no—
1724C23—84no—
1725C23—84no—
1726C23—164no—
1727C23—164no—
1728C23C23×D412yes—
1729C23C23×D412yes—
1730C23C23×D412yes—
1731C23#58512yes—
1732C23C2611yescharacteristic
1733Q8—48no—
1734Q8—44no—
1735Q8—44no—
1736Q8—84no—
1737Q8—88no—
1738D4—28no—
1739D4—44no—
1740D4—48no—
1741D4—48no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—416no—
1746D4—48no—
1747D4—48no—
1748D4—48no—
1749D4—48no—
1750D4—48no—
1751D4—44no—
1752D4—88no—
1753D4—84no—
1754D4—88no—
1755D4—84no—
1756D4—84no—
1757D4—88no—
1758D4—84no—
1759D4—88no—
1760D4—84no—
1761D4—88no—
1762D4—164no—
1763D4—164no—
1764D4—164no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—28no—
1777C2×C4—28no—
1778C2×C4—28no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—48no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—44no—
1834C2×C4—48no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—48no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—48no—
1842C2×C4—88no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—88no—
1846C2×C4—88no—
1847C2×C4—82no—
1848C2×C4—84no—
1849C2×C4C23×D412yes—
1850C2×C4C23×D414yes—
1851C2×C4C23×D414yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D414yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D412yes—
1857C2×C4#58512yes—
1858C2×C4#58514yes—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—24no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—41no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—42no—
1880C22—44no—
1881C22—41no—
1882C22—42no—
1883C22—42no—
1884C22—44no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—44no—
1891C22—44no—
1892C22—44no—
1893C22—44no—
1894C22—44no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—41no—
1900C22—42no—
1901C22—42no—
1902C22—44no—
1903C22—88no—
1904C22—88no—
1905C22—168no—
1906C22C24×D411yescharacteristic
1907C22C2×#58511yescharacteristic
1908C22C2×#58511yescharacteristic
1909C22C2×#58512yes—
1910C22H(7,𝔽2)12yes—
1911C4—24no—
1912C4—22no—
1913C4—24no—
1914C4—24no—
1915C4—24no—
1916C4—22no—
1917C4—22no—
1918C4—22no—
1919C4—41no—
1920C4—42no—
1921C4—42no—
1922C4—41no—
1923C4—44no—
1924C4—42no—
1925C4—42no—
1926C4—41no—
1927C4—42no—
1928C4—44no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—44no—
1933C4—41no—
1934C4—41no—
1935C4—42no—
1936C4—42no—
1937C4#344914yes—
1938C2—42no—
1939C2—42no—
1940C2—42no—
1941C2—42no—
1942C2—82no—
1943C2—82no—
1944C2—81no—
1945C2—84no—
1946C2C2×#344911yescharacteristic
1947C2#6281111yescharacteristic
1948C2#6285211yescharacteristic
1949C2#6291012yes—
1950C2#6293712yes—
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×#3494C2semidirect
2. C2×#3475C2semidirect
3. #42987C2semidirect
4. #42986C2semidirect
5. #42915C2semidirect
6. #42914C2semidirect
7. #42477C2semidirect
8. #42476C2semidirect
9. #42309C2semidirect
10. #42308C2semidirect
11. #41951C2semidirect
12. #41950C2semidirect
13. #41415C2semidirect
14. #40597C2semidirect
15. #39866C2semidirect
16. #39862C2semidirect
17. #38386C2semidirect
18. #38382C2semidirect
19. #37550C2semidirect
20. #37543C2semidirect
21. #37448C2semidirect
22. #37445C2semidirect
23. #36235C2semidirect
24. #36231C2semidirect
25. #36087C2semidirect
26. #36080C2semidirect
27. #36015C2semidirect
28. #36004C2semidirect
29. #35982C2semidirect
30. #35768C2semidirect
31. #35190C2semidirect
32. #35076C2semidirect
33. #34636C2semidirect
34. #34562C2semidirect
35. #34179C2semidirect
41. C2×#554C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
50. C2×#551C22semidirect
51. C2×#551C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
56. C2×#544C22semidirect
59. C2×#535C22semidirect
60. C2×#533C22semidirect
61. C2×#532C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
68. C2×#525C22semidirect
70. C2×#520C22semidirect
71. C2×#518C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
76. C22×#117C22semidirect
78. #2850C22semidirect
79. #2850C22semidirect
81. #2821C22semidirect
82. #2821C22semidirect
83. #2818C22semidirect
84. #2818C22semidirect
85. #2814C22semidirect
88. #2813C22semidirect
90. #2707C22semidirect
91. #2706C22semidirect
92. #2705C22semidirect
93. #2704C22semidirect
94. #2703C22semidirect
95. #2702C22semidirect
97. #2698C22semidirect
98. #2687C22semidirect
99. #2685C22semidirect
100. #2683C22semidirect
101. #2682C22semidirect
103. #2681C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2680C22semidirect
107. #2680C22semidirect
108. #2678C22semidirect
109. #2678C22semidirect
110. #2672C22semidirect
113. #2669C22semidirect
114. #2664C22semidirect
115. #2664C22semidirect
116. #2663C22semidirect
117. #2662C22semidirect
118. #2662C22semidirect
119. #2661C22semidirect
120. #2661C22semidirect
121. #2661C22semidirect
122. #2638C22semidirect
123. #2638C22semidirect
124. #2638C22semidirect
125. #2637C22semidirect
126. #2636C22semidirect
129. #2635C22semidirect
130. #2635C22semidirect
131. #2635C22semidirect
132. #2635C22semidirect
133. #2635C22semidirect
134. #2634C22semidirect
135. #2634C22semidirect
136. #2633C22semidirect
137. #2633C22semidirect
138. #2632C22semidirect
139. #2632C22semidirect
140. #2631C22semidirect
141. #2631C22semidirect
144. #2630C22semidirect
145. #2630C22semidirect
146. #2627C22semidirect
147. #2626C22semidirect
148. #2625C22semidirect
149. #2624C22semidirect
151. #2620C22semidirect
152. #2619C22semidirect
153. #2618C22semidirect
154. #2617C22semidirect
155. #2616C22semidirect
156. #2616C22semidirect
157. #2615C22semidirect
158. #2615C22semidirect
161. #2610C22semidirect
162. #2610C22semidirect
163. #2609C22semidirect
164. #2609C22semidirect
165. #2604C22semidirect
166. #2603C22semidirect
167. #2602C22semidirect
168. #2602C22semidirect
169. #2602C22semidirect
170. #2598C22semidirect
171. #2598C22semidirect
172. #2598C22semidirect
173. #2598C22semidirect
175. #2568C22semidirect
176. #2562C22semidirect
177. #2562C22semidirect
178. #2560C22semidirect
179. #2558C22semidirect
180. #2554C22semidirect
181. #2554C22semidirect
182. #2552C22semidirect
183. #2550C22semidirect
184. #2548C22semidirect
185. #2542C22semidirect
186. #2541C22semidirect
187. #2541C22semidirect
188. #2540C22semidirect
189. #2540C22semidirect
190. #2540C22semidirect
192. #2536C22semidirect
193. #2535C22semidirect
194. #2534C22semidirect
195. #2519C22semidirect
196. #2512C22semidirect
197. #2503C22semidirect
198. #2501C22semidirect
200. #2500C22semidirect
201. #2491C22semidirect
202. #2490C22semidirect
203. #2490C22semidirect
204. #2489C22semidirect
207. #2485C22semidirect
208. #2480C22semidirect
209. #2476C22semidirect
210. #2474C22semidirect
211. #2472C22semidirect
212. #2472C22semidirect
213. #2468C22semidirect
215. #2464C22semidirect
216. #2461C22semidirect
217. #2461C22semidirect
218. #2461C22semidirect
219. #2459C22semidirect
221. #2456C22semidirect
222. #2454C22semidirect
223. #2452C22semidirect
224. #2452C22semidirect
225. #2451C22semidirect
226. #2445C22semidirect
227. #2442C22semidirect
228. #2440C22semidirect
229. #2440C22semidirect
230. #2439C22semidirect
231. #2435C22semidirect
232. #2433C22semidirect
234. #2431C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
237. #2427C22semidirect
238. #2426C22semidirect
240. #2424C22semidirect
242. #2417C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2415C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
257. #2396C22semidirect
258. #2396C22semidirect
261. #2395C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
264. #2392C22semidirect
265. #2392C22semidirect
268. #2388C22semidirect
269. #2367C22semidirect
270. #2366C22semidirect
271. #2363C22semidirect
272. #2363C22semidirect
273. #2362C22semidirect
274. #2361C22semidirect
275. #2354C22semidirect
276. #2352C22semidirect
277. #2347C22semidirect
278. #2347C22semidirect
279. #2347C22semidirect
280. #2347C22semidirect
281. #2347C22semidirect
282. #2347C22semidirect
283. #2346C22semidirect
284. #2346C22semidirect
285. #2346C22semidirect
286. #2328C22semidirect
287. #2326C22semidirect
290. #2316C22semidirect
292. C4×#123C22semidirect
293. C4×#120C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
300. #2274C22semidirect
485. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34752
#429872
#429862
#429152
#429142
#424772
#424762
#423092
#423082
#419512
#419502
#414152
#405972
#398662
#398622
#383862
#383822
#375502
#375432
#374482
#374452
#362352
#362312
#360872
#360802
#360152
#360042
#359822
#357682
#351902
#350762
#346362
#345622
#341792