Finite Group Databasebeta

← #7658720

Subgroups — #7658720

Order 512.

6868 conjugacy classes of subgroups.

The subgroup lattice has 1935 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3493C211yesmaximal, characteristic, complemented
3#42987C211yesmaximal, characteristic, complemented
4#42986C211yesmaximal, characteristic, complemented
5#42971C212yesmaximal, complemented
6#42970C212yesmaximal, complemented
7#42915C211yesmaximal, characteristic, complemented
8#42914C211yesmaximal, characteristic, complemented
9#42437C212yesmaximal, complemented
10#42433C212yesmaximal, complemented
11#42158C212yesmaximal, complemented
12#42156C212yesmaximal, complemented
13#41994C214yesmaximal, complemented
14#41993C214yesmaximal, complemented
15#41961C212yesmaximal, complemented
16#41959C212yesmaximal, complemented
17#40498C214yesmaximal, complemented
18#40496C214yesmaximal, complemented
19#37616C212yesmaximal, complemented
20#37553C212yesmaximal, complemented
21#37543C212yesmaximal, complemented
22#37448C211yesmaximal, characteristic, complemented
23#37444C211yesmaximal, characteristic, complemented
24#37439C211yesmaximal, characteristic, complemented
25#36687C212yesmaximal, complemented
26#36652C211yesmaximal, characteristic, complemented
27#36075C211yesmaximal, characteristic, complemented
28#35995C211yesmaximal, characteristic, complemented
29#35830C212yesmaximal, complemented
30#35759C211yesmaximal, characteristic, complemented
31#35736C212yesmaximal, complemented
32#35715C212yesmaximal, complemented
33#35689C211yesmaximal, characteristic, complemented
34#35682C212yesmaximal, complemented
35#34180C211yesmaximal, characteristic, complemented
36#3494—216no—
37#3493—216no—
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#556C2212yescomplemented
41C2×#555C2212yes—
42C2×#555C2212yes—
43C2×#555C2211yescharacteristic, complemented
44C2×#555C2211yescharacteristic, complemented
45C2×#553C2211yescharacteristic
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2212yes—
49C2×#553C2212yescomplemented
50C2×#552C2212yes—
51C2×#552C2211yescharacteristic, complemented
52C2×#552C2211yescharacteristic, complemented
53C2×#551C2214yes—
54C2×#547C2212yes—
55C2×#546C2214yes—
56C2×#544C2211yescharacteristic
57C2×#544C2211yescharacteristic, complemented
58C2×#542C2212yes—
59C2×#540C2212yes—
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic, complemented
63C2×#535C2211yescharacteristic
64C2×#532C2212yes—
65C2×#529C2212yes—
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic, complemented
74C2×#520C2211yescharacteristic, complemented
75C2×#518C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2821C2212yescomplemented
78#2821C2212yescomplemented
79#2820C2214yescomplemented
80#2819C2214yescomplemented
81#2818C2212yescomplemented
82#2818C2212yescomplemented
83#2817C2211yescharacteristic, complemented
84#2816C2211yescharacteristic, complemented
85#2816C2211yescharacteristic, complemented
86#2816C2214yescomplemented
87#2815C2211yescharacteristic, complemented
88#2815C2214yescomplemented
89#2814C2212yes—
90#2814C2211yescharacteristic, complemented
91#2814C2211yescharacteristic, complemented
92#2814C2212yescomplemented
93#2813C2212yes—
94#2813C2212yes—
95#2813C2212yes—
96#2813C2212yes—
97#2813C2212yes—
98#2813C2211yescharacteristic, complemented
99#2813C2211yescharacteristic, complemented
100#2813C2212yescomplemented
101#2812C2212yes—
102#2812C2212yes—
103#2723C2214yescomplemented
104#2721C2214yescomplemented
105#2716C2214yescomplemented
106#2715C2214yescomplemented
107#2714C2214yescomplemented
108#2712C2214yescomplemented
109#2700C2214yes—
110#2698C2214yes—
111#2696C2214yescomplemented
112#2694C2214yescomplemented
113#2691C2214yescomplemented
114#2685C2214yes—
115#2681C2214yes—
116#2680C2214yes—
117#2678C2214yes—
118#2676C2214yescomplemented
119#2676C2214yescomplemented
120#2675C2214yescomplemented
121#2674C2214yescomplemented
122#2673C2214yescomplemented
123#2672C2214yescomplemented
124#2671C2214yescomplemented
125#2670C2214yes—
126#2669C2214yes—
127#2664C2214yescomplemented
128#2664C2212yescomplemented
129#2664C2212yescomplemented
130#2662C2214yescomplemented
131#2662C2212yescomplemented
132#2662C2212yescomplemented
133#2656C2212yes—
134#2639C2212yes—
135#2638C2214yescomplemented
136#2636C2212yescomplemented
137#2636C2212yescomplemented
138#2636C2212yescomplemented
139#2636C2212yescomplemented
140#2635C2212yes—
141#2635C2212yes—
142#2635C2214yescomplemented
143#2634C2212yescomplemented
144#2633C2212yescomplemented
145#2632C2212yescomplemented
146#2631C2212yescomplemented
147#2630C2214yes—
148#2630C2214yescomplemented
149#2630C2214yescomplemented
150#2629C2214yescomplemented
151#2626C2212yes—
152#2625C2211yescharacteristic
153#2624C2212yes—
154#2624C2211yescharacteristic
155#2620C2212yes—
156#2620C2214yescomplemented
157#2620C2214yescomplemented
158#2620C2214yescomplemented
159#2620C2214yescomplemented
160#2619C2212yes—
161#2619C2214yescomplemented
162#2617C2212yes—
163#2617C2214yes—
164#2616C2211yescharacteristic
165#2615C2212yes—
166#2615C2211yescharacteristic
167#2613C2214yes—
168#2609C2214yescomplemented
169#2609C2214yescomplemented
170#2604C2212yescomplemented
171#2604C2212yescomplemented
172#2603C2212yescomplemented
173#2603C2212yescomplemented
174#2602C2214yescomplemented
175#2602C2214yescomplemented
176#2601C2214yescomplemented
177#2601C2214yescomplemented
178#2581C2212yescomplemented
179#2580C2212yescomplemented
180#2568C2212yescomplemented
181#2566C2214yescomplemented
182#2564C2212yescomplemented
183#2559C2214yescomplemented
184#2557C2214yescomplemented
185#2555C2214yescomplemented
186#2553C2214yescomplemented
187#2552C2212yescomplemented
188#2550C2212yescomplemented
189#2548C2212yescomplemented
190#2544C2214yescomplemented
191#2543C2212yescomplemented
192#2542C2212yescomplemented
193#2541C2212yescomplemented
194#2541C2212yescomplemented
195#2540C2212yescomplemented
196#2536C2212yescomplemented
197#2535C2212yescomplemented
198#2534C2214yes—
199#2503C2211yescharacteristic
200#2501C2211yescharacteristic
201#2500C2212yes—
202#2491C2212yescomplemented
203#2490C2212yescomplemented
204#2490C2212yescomplemented
205#2489C2212yescomplemented
206#2487C2211yescharacteristic
207#2487C2211yescharacteristic
208#2485C2212yescomplemented
209#2480C2214yes—
210#2477C2214yescomplemented
211#2472C2214yes—
212#2471C2214yescomplemented
213#2466C2214yes—
214#2465C2214yescomplemented
215#2464C2214yescomplemented
216#2464C2214yescomplemented
217#2463C2214yescomplemented
218#2459C2214yes—
219#2458C2214yescomplemented
220#2456C2214yes—
221#2456C2214yescomplemented
222#2455C2214yes—
223#2454C2212yescomplemented
224#2452C2212yescomplemented
225#2452C2212yescomplemented
226#2451C2212yescomplemented
227#2449C2214yescomplemented
228#2443C2214yescomplemented
229#2441C2212yescomplemented
230#2440C2212yescomplemented
231#2439C2212yescomplemented
232#2439C2212yescomplemented
233#2435C2211yescharacteristic
234#2433C2211yescharacteristic
235#2431C2212yes—
236#2428C2214yescomplemented
237#2428C2212yescomplemented
238#2428C2212yescomplemented
239#2427C2212yescomplemented
240#2426C2212yescomplemented
241#2424C2214yes—
242#2422C2214yescomplemented
243#2418C2214yes—
244#2417C2212yescomplemented
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2415C2214yescomplemented
250#2415C2212yescomplemented
251#2414C2214yescomplemented
252#2414C2212yescomplemented
253#2414C2212yescomplemented
254#2410C2212yes—
255#2410C2212yes—
256#2408C2211yescharacteristic
257#2408C2211yescharacteristic
258#2407C2214yescomplemented
259#2407C2214yescomplemented
260#2407C2212yescomplemented
261#2398C2212yescomplemented
262#2398C2212yescomplemented
263#2397C2212yescomplemented
264#2397C2212yescomplemented
265#2395C2211yescharacteristic
266#2395C2211yescharacteristic
267#2395C2212yescomplemented
268#2392C2214yescomplemented
269#2392C2214yescomplemented
270#2392C2212yescomplemented
271#2392C2212yescomplemented
272#2388C2211yescharacteristic
273#2388C2211yescharacteristic
274#2388C2212yescomplemented
275#2388C2214yescomplemented
276#2388C2214yescomplemented
277#2367C2212yescomplemented
278#2366C2212yescomplemented
279#2363C2212yescomplemented
280#2361C2212yescomplemented
281#2361C2212yescomplemented
282#2360C2212yescomplemented
283#2352C2212yescomplemented
284D4×C4⋊C4C2212yescomplemented
285#2347C2211yescharacteristic
286#2347C2211yescharacteristic
287#2346C2211yescharacteristic
288#2346C2211yescharacteristic
289#2345C2212yescomplemented
290#2344C2212yescomplemented
291#2343C2212yescomplemented
292#2343C2212yescomplemented
293#2342C2214yes—
294#2317C2212yescomplemented
295#2314C2214yes—
296#2285C2212yescomplemented
297#2283C2212yescomplemented
298#2280C2211yescharacteristic
299C2×#380C2211yescharacteristic
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C23×D4C2311yescharacteristic
306C23×D4C2312yes—
307C24×C4C2311yescharacteristic
308#556—28no—
309#556—28no—
310#556—216no—
311#555—216no—
312#555—216no—
313#555—28no—
314#555—28no—
315#553—28no—
316#553—28no—
317#553—216no—
318#553—216no—
319#553—216no—
320#552—216no—
321#552—28no—
322#552—28no—
323#551—232no—
324#547—216no—
325#546—232no—
326#544—28no—
327#544—28no—
328#542—216no—
329#540—216no—
330#538—216no—
331#538—216no—
332#537—28no—
333#535—28no—
334#532—216no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2314yes—
343#529—216no—
344#529—216no—
345#529—216no—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374#525—28no—
375#525—28no—
376#525—28no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2311yescharacteristic
380C2×#123C2311yescharacteristic
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×#121—28no—
408C2×#121C2314yes—
409C2×#121C2311yescharacteristic
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2311yescharacteristic
444C2×#120C2311yescharacteristic
445C2×#120C2314yes—
446C2×#120C2314yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449#520—28no—
450#520—28no—
451#520—28no—
452#518—28no—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×#117D4116yescomplemented
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2314yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C42C2312yes—
524#400C2311yescharacteristic
525#400C2311yescharacteristic
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2311yescharacteristic
536#399C2311yescharacteristic
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2314yes—
544#399C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2311yescharacteristic
548#398C2311yescharacteristic
549#398C2312yes—
550#398C2312yes—
551#398C2314yes—
552#398C2312yes—
553#398C2312yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2311yescharacteristic
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2312yes—
570#397C2314yes—
571#397C2311yescharacteristic
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#396C2312yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2312yes—
580#396C2314yes—
581#396C2314yes—
582#396C2312yes—
583#396C2314yes—
584#396C2312yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#395C2311yescharacteristic
594#395C2311yescharacteristic
595#395C2312yes—
596#395C2312yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#394C2312yes—
601#394C2311yescharacteristic
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2311yescharacteristic
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2312yes—
638#394C2312yes—
639#394C2314yes—
640#394C2314yes—
641#394C2312yes—
642#394C2314yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#393C2314yes—
649#393C2314yes—
650#393C2311yescharacteristic
651#393C2311yescharacteristic
652#393C2312yes—
653#393C2314yes—
654#393C2314yes—
655#393C2312yes—
656#393C2314yes—
657#393C2314yes—
658#392C2311yescharacteristic
659#392C2314yes—
660#392C2314yes—
661#392C2312yes—
662#392C2312yes—
663#392C2314yes—
664#392C2314yes—
665#392C2312yes—
666#392C2314yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2312yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2314yes—
677#392C2314yes—
678#392C2312yes—
679#392C2314yes—
680#392C2312yes—
681#392C2311yescharacteristic
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#391C2314yes—
689#391C2314yes—
690#391C2314yes—
691#391C2314yes—
692#391C2312yes—
693#391C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2314yes—
705#390C2314yes—
706#390C2314yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2314yes—
715#389C2314yes—
716#389C2314yes—
717#389C2314yes—
718#389C2314yes—
719#389C2314yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2312yes—
789#385C2312yes—
790#384C2314yes—
791#384C2314yes—
792#384C2312yes—
793#383C2312yes—
794#383C2312yes—
795#382C2314yes—
796#382C2314yes—
797#382C2312yes—
798#382C2312yes—
799#382C2312yes—
800#381C2311yescharacteristic
801#381C2314yes—
802#381C2311yescharacteristic
803#381C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2312yes—
809#380C2311yescharacteristic
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2314yes—
816#380C2314yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#379C2312yes—
821#379C2314yes—
822#379C2312yes—
823#379C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2312yes—
851C25C2412yes—
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—84no—
861C2×#41—84no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×D4—28no—
869C22×D4—24no—
870C22×D4—44no—
871C22×D4—84no—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C23×C4—44no—
903C23×C4C2×D418yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930#127—28no—
931#127—44no—
932#127—84no—
933#126—216no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—216no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#125—24no—
944#125—24no—
945#125—28no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—28no—
950#124—28no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—216no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—216no—
959#124—44no—
960#124—84no—
961#123—24no—
962#123—24no—
963#123—28no—
964#123—28no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—216no—
973#123—84no—
974C22⋊Q8—24no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—44no—
988C22⋊Q8—84no—
989C22⋊Q8—84no—
990C22⋊Q8—84no—
991#121—28no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—24no—
996#121—24no—
997#121—24no—
998#121—24no—
999#121—24no—
1000#121—24no—
1001#121—28no—
1002#121—28no—
1003#121—216no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—24no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—216no—
1014#121—216no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—84no—
1019#121—84no—
1020#121—84no—
1021#121—84no—
1022#121—84no—
1023#121—84no—
1024#120—28no—
1025#120—24no—
1026#120—24no—
1027#120—28no—
1028#120—216no—
1029#120—82no—
1030#120—82no—
1031#120—84no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—28no—
1035C4×Q8—28no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—216no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—84no—
1066C4×D4—84no—
1067C4×D4—84no—
1068C4×D4—84no—
1069#117—24no—
1070#117—24no—
1071#117—24no—
1072#117—28no—
1073#117—24no—
1074#117—24no—
1075#117—28no—
1076#117—216no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—44no—
1082#117—84no—
1083#117C2×D418yes—
1084#117C2×D418yes—
1085#117C2×D4116yes—
1086#117C2×D4116yes—
1087#117C2×D418yes—
1088#117C2×D418yes—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—44no—
1095C2×C4⋊C4C2×D418yes—
1096C2×C4⋊C4C2×D418yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4—82no—
1160C2×C22⋊C4C2×D4116yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C42C2×D4116yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306C24—24no—
1307C24—41no—
1308C24—42no—
1309C24—42no—
1310C24—41no—
1311C24—44no—
1312C24—42no—
1313C24—44no—
1314C24—42no—
1315C24C22×D414yes—
1316C24C2514yes—
1317C24C2511yescharacteristic
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323C24C2511yescharacteristic
1324#41—416no—
1325#41—416no—
1326#41—416no—
1327#41—832no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—28no—
1334C2×Q8—24no—
1335C2×Q8—42no—
1336C2×Q8—42no—
1337C2×Q8—42no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—42no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—416no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—41no—
1416C2×D4—42no—
1417C2×D4—41no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—816no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—28no—
1444C22×C4—416no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4C22×D414yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D414yes—
1469C22×C4C22×D414yes—
1470C22×C4C22×D418yes—
1471C22×C4C22×D418yes—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—28no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4C22×D414yes—
1556C4⋊C4C22×D414yes—
1557C4⋊C4C22×D418yes—
1558C4⋊C4C22×D414yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C22×D418yes—
1642C22⋊C4C22×D418yes—
1643C42—28no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—24no—
1650C42—22no—
1651C42—22no—
1652C42—24no—
1653C42—24no—
1654C42—44no—
1655C42—44no—
1656C42—44no—
1657C42—44no—
1658C42C22×D418yes—
1659C42C22×D418yes—
1660C42C22×D418yes—
1661C42C22×D418yes—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—22no—
1675C23—21no—
1676C23—21no—
1677C23—24no—
1678C23—22no—
1679C23—22no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—24no—
1685C23—24no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—24no—
1694C23—24no—
1695C23—21no—
1696C23—22no—
1697C23—21no—
1698C23—21no—
1699C23—24no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—48no—
1707C23—84no—
1708C23—84no—
1709C23—84no—
1710C23—84no—
1711C23—164no—
1712C23—164no—
1713C23C23×D412yes—
1714C23C23×D412yes—
1715C23C23×D412yes—
1716C23C2611yescharacteristic
1717Q8—44no—
1718Q8—44no—
1719Q8—44no—
1720Q8—84no—
1721Q8—84no—
1722Q8—88no—
1723D4—48no—
1724D4—44no—
1725D4—44no—
1726D4—416no—
1727D4—44no—
1728D4—44no—
1729D4—48no—
1730D4—48no—
1731D4—48no—
1732D4—48no—
1733D4—48no—
1734D4—44no—
1735D4—84no—
1736D4—88no—
1737D4—84no—
1738D4—88no—
1739D4—84no—
1740D4—82no—
1741D4—82no—
1742D4—84no—
1743D4—84no—
1744D4—82no—
1745D4—82no—
1746D4—88no—
1747D4—88no—
1748D4—88no—
1749D4—88no—
1750D4—84no—
1751D4—164no—
1752D4—164no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—28no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—44no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—84no—
1826C2×C4—84no—
1827C2×C4—84no—
1828C2×C4—84no—
1829C2×C4—88no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—84no—
1833C2×C4—164no—
1834C2×C4C23×D414yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D414yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D412yes—
1840C2×C4C23×D414yes—
1841C2×C4C23×D412yes—
1842C2×C4#58514yes—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—44no—
1861C22—44no—
1862C22—42no—
1863C22—42no—
1864C22—44no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—44no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—41no—
1874C22—42no—
1875C22—41no—
1876C22—44no—
1877C22—44no—
1878C22—41no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—44no—
1887C22—88no—
1888C22—168no—
1889C22C24×D411yescharacteristic
1890C22C2×#58512yes—
1891C22H(7,𝔽2)12yes—
1892C22H(7,𝔽2)11yescharacteristic
1893C222−1+611yescharacteristic
1894C4—24no—
1895C4—24no—
1896C4—24no—
1897C4—24no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—44no—
1905C4—44no—
1906C4—42no—
1907C4—44no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—41no—
1915C4—42no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—42no—
1920C4#344914yes—
1921C2—42no—
1922C2—42no—
1923C2—42no—
1924C2—81no—
1925C2—82no—
1926C2—82no—
1927C2—81no—
1928C2—84no—
1929C2C2×#344911yescharacteristic
1930C2#6285211yescharacteristic
1931C2#6285311yescharacteristic
1932C2#6304312yes—
1933C2#6305112yes—
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×#3493C2semidirect
3. #42987C2semidirect
4. #42986C2semidirect
5. #42971C2semidirect
6. #42970C2semidirect
7. #42915C2semidirect
8. #42914C2semidirect
9. #42437C2semidirect
10. #42433C2semidirect
11. #42158C2semidirect
12. #42156C2semidirect
13. #41994C2semidirect
14. #41993C2semidirect
15. #41961C2semidirect
16. #41959C2semidirect
17. #40498C2semidirect
18. #40496C2semidirect
19. #37616C2semidirect
20. #37553C2semidirect
21. #37543C2semidirect
22. #37448C2semidirect
23. #37444C2semidirect
24. #37439C2semidirect
25. #36687C2semidirect
26. #36652C2semidirect
27. #36075C2semidirect
28. #35995C2semidirect
29. #35830C2semidirect
30. #35759C2semidirect
31. #35736C2semidirect
32. #35715C2semidirect
33. #35689C2semidirect
34. #35682C2semidirect
35. #34180C2semidirect
40. C2×#556C22semidirect
43. C2×#555C22semidirect
44. C2×#555C22semidirect
49. C2×#553C22semidirect
51. C2×#552C22semidirect
52. C2×#552C22semidirect
57. C2×#544C22semidirect
62. C2×#537C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
73. C2×#520C22semidirect
74. C2×#520C22semidirect
77. #2821C22semidirect
78. #2821C22semidirect
79. #2820C22semidirect
80. #2819C22semidirect
81. #2818C22semidirect
82. #2818C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2816C22semidirect
86. #2816C22semidirect
87. #2815C22semidirect
88. #2815C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2814C22semidirect
98. #2813C22semidirect
99. #2813C22semidirect
100. #2813C22semidirect
103. #2723C22semidirect
104. #2721C22semidirect
105. #2716C22semidirect
106. #2715C22semidirect
107. #2714C22semidirect
108. #2712C22semidirect
111. #2696C22semidirect
112. #2694C22semidirect
113. #2691C22semidirect
118. #2676C22semidirect
119. #2676C22semidirect
120. #2675C22semidirect
121. #2674C22semidirect
122. #2673C22semidirect
123. #2672C22semidirect
124. #2671C22semidirect
127. #2664C22semidirect
128. #2664C22semidirect
129. #2664C22semidirect
130. #2662C22semidirect
131. #2662C22semidirect
132. #2662C22semidirect
135. #2638C22semidirect
136. #2636C22semidirect
137. #2636C22semidirect
138. #2636C22semidirect
139. #2636C22semidirect
142. #2635C22semidirect
143. #2634C22semidirect
144. #2633C22semidirect
145. #2632C22semidirect
146. #2631C22semidirect
148. #2630C22semidirect
149. #2630C22semidirect
150. #2629C22semidirect
156. #2620C22semidirect
157. #2620C22semidirect
158. #2620C22semidirect
159. #2620C22semidirect
161. #2619C22semidirect
168. #2609C22semidirect
169. #2609C22semidirect
170. #2604C22semidirect
171. #2604C22semidirect
172. #2603C22semidirect
173. #2603C22semidirect
174. #2602C22semidirect
175. #2602C22semidirect
176. #2601C22semidirect
177. #2601C22semidirect
178. #2581C22semidirect
179. #2580C22semidirect
180. #2568C22semidirect
181. #2566C22semidirect
182. #2564C22semidirect
183. #2559C22semidirect
184. #2557C22semidirect
185. #2555C22semidirect
186. #2553C22semidirect
187. #2552C22semidirect
188. #2550C22semidirect
189. #2548C22semidirect
190. #2544C22semidirect
191. #2543C22semidirect
192. #2542C22semidirect
193. #2541C22semidirect
194. #2541C22semidirect
195. #2540C22semidirect
196. #2536C22semidirect
197. #2535C22semidirect
202. #2491C22semidirect
203. #2490C22semidirect
204. #2490C22semidirect
205. #2489C22semidirect
208. #2485C22semidirect
210. #2477C22semidirect
212. #2471C22semidirect
214. #2465C22semidirect
215. #2464C22semidirect
216. #2464C22semidirect
217. #2463C22semidirect
219. #2458C22semidirect
221. #2456C22semidirect
223. #2454C22semidirect
224. #2452C22semidirect
225. #2452C22semidirect
226. #2451C22semidirect
227. #2449C22semidirect
228. #2443C22semidirect
229. #2441C22semidirect
230. #2440C22semidirect
231. #2439C22semidirect
232. #2439C22semidirect
236. #2428C22semidirect
237. #2428C22semidirect
238. #2428C22semidirect
239. #2427C22semidirect
240. #2426C22semidirect
242. #2422C22semidirect
244. #2417C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2414C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
261. #2398C22semidirect
262. #2398C22semidirect
263. #2397C22semidirect
264. #2397C22semidirect
267. #2395C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
274. #2388C22semidirect
275. #2388C22semidirect
276. #2388C22semidirect
277. #2367C22semidirect
278. #2366C22semidirect
279. #2363C22semidirect
280. #2361C22semidirect
281. #2361C22semidirect
282. #2360C22semidirect
283. #2352C22semidirect
284. D4×C4⋊C4C22semidirect
289. #2345C22semidirect
290. #2344C22semidirect
291. #2343C22semidirect
292. #2343C22semidirect
294. #2317C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
300. #2274C22semidirect
490. 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×#34932
#429872
#429862
#429712
#429702
#429152
#429142
#424372
#424332
#421582
#421562
#419942
#419932
#419612
#419592
#404982
#404962
#376162
#375532
#375432
#374482
#374442
#374392
#366872
#366522
#360752
#359952
#358302
#357592
#357362
#357152
#356892
#356822
#341802