Finite Group Databasebeta

← #7656153

Subgroups — #7656153

Order 512.

7129 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#42681C211yesmaximal, characteristic, complemented
4#42677C211yesmaximal, characteristic, complemented
5#42482C211yesmaximal, characteristic, complemented
6#42478C211yesmaximal, characteristic, complemented
7#42432C212yesmaximal, complemented
8#42420C212yesmaximal, complemented
9#41422C212yesmaximal, complemented
10#41418C212yesmaximal, complemented
11#40605C212yesmaximal, complemented
12#40601C212yesmaximal, complemented
13#40521C214yesmaximal, complemented
14#40520C214yesmaximal, complemented
15#39856C212yesmaximal, complemented
16#39852C212yesmaximal, complemented
17#39847C214yesmaximal, complemented
18#39845C214yesmaximal, complemented
19#37550C211yesmaximal, characteristic, complemented
20#37545C211yesmaximal, characteristic, complemented
21#37454C212yesmaximal, complemented
22#37445C212yesmaximal, complemented
23#36440C212yesmaximal, complemented
24#36436C212yesmaximal, complemented
25#36062C211yesmaximal, characteristic, complemented
26#36051C211yesmaximal, characteristic, complemented
27#35923C211yesmaximal, characteristic, complemented
28#35912C211yesmaximal, characteristic, complemented
29#35752C212yesmaximal, complemented
30#35688C212yesmaximal, complemented
31#35200C211yesmaximal, characteristic, complemented
32#35063C212yesmaximal, complemented
33#34609C211yesmaximal, characteristic, complemented
34#34562C212yesmaximal, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3506—216no—
37#3481—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2214yescomplemented
40C2×#556C2212yescomplemented
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic, complemented
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#553C2212yes—
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2212yescomplemented
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#550C2212yescomplemented
53C2×#547C2211yescharacteristic
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#538C2214yescomplemented
60C2×#535C2212yes—
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic, complemented
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×#525C2212yescomplemented
70C2×#525C2212yescomplemented
71C2×#520C2212yescomplemented
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2212yes—
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2853C2214yescomplemented
78#2851C2212yescomplemented
79#2851C2212yescomplemented
80#2849C2214yescomplemented
81#2821C2212yescomplemented
82#2818C2212yescomplemented
83#2817C2212yescomplemented
84#2816C2212yescomplemented
85#2816C2212yescomplemented
86#2815C2212yescomplemented
87#2814C2214yescomplemented
88#2812C2214yes—
89#2812C2214yescomplemented
90#2722C2214yescomplemented
91#2717C2214yescomplemented
92#2715C2214yescomplemented
93#2710C2214yescomplemented
94#2709C2214yescomplemented
95#2706C2214yescomplemented
96#2700C2214yescomplemented
97#2695C2214yescomplemented
98#2691C2214yescomplemented
99#2691C2214yescomplemented
100#2687C2214yescomplemented
101#2686C2214yes—
102#2686C2214yescomplemented
103#2684C2214yes—
104#2680C2214yescomplemented
105#2678C2214yescomplemented
106#2676C2214yescomplemented
107#2675C2214yescomplemented
108#2674C2214yescomplemented
109#2673C2214yes—
110#2673C2214yescomplemented
111#2671C2214yescomplemented
112#2670C2214yescomplemented
113#2669C2214yes—
114#2663C2212yescomplemented
115#2663C2212yescomplemented
116#2661C2212yescomplemented
117#2661C2212yescomplemented
118#2661C2214yescomplemented
119#2660C2211yescharacteristic, complemented
120#2660C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2640C2211yescharacteristic, complemented
123#2638C2212yes—
124#2638C2212yescomplemented
125#2638C2212yescomplemented
126#2638C2214yescomplemented
127#2638C2212yescomplemented
128#2637C2212yescomplemented
129#2637C2212yescomplemented
130#2635C2211yescharacteristic
131#2635C2211yescharacteristic
132#2635C2212yescomplemented
133#2635C2211yescharacteristic, complemented
134#2635C2211yescharacteristic, complemented
135#2635C2212yescomplemented
136#2635C2214yescomplemented
137#2632C2212yescomplemented
138#2631C2212yescomplemented
139#2630C2214yescomplemented
140#2630C2214yescomplemented
141#2628C2211yescharacteristic, complemented
142#2628C2211yescharacteristic, complemented
143#2627C2212yescomplemented
144#2626C2212yescomplemented
145#2625C2212yescomplemented
146#2624C2212yescomplemented
147#2624C2212yescomplemented
148#2622C2214yescomplemented
149#2619C2211yescharacteristic, complemented
150#2619C2211yescharacteristic, complemented
151#2618C2212yescomplemented
152#2617C2214yes—
153#2617C2212yescomplemented
154#2617C2214yescomplemented
155#2616C2212yescomplemented
156#2616C2212yescomplemented
157#2615C2212yes—
158#2615C2212yes—
159#2615C2212yescomplemented
160#2613C2214yes—
161#2610C2214yescomplemented
162#2602C2214yescomplemented
163#2602C2214yescomplemented
164#2600C2214yes—
165#2600C2214yescomplemented
166#2600C2214yescomplemented
167#2600C2214yescomplemented
168#2599C2212yescomplemented
169#2599C2212yescomplemented
170#2599C2214yescomplemented
171#2567C2211yescharacteristic, complemented
172#2566C2212yescomplemented
173#2565C2212yescomplemented
174#2564C2212yescomplemented
175#2564C2212yescomplemented
176#2563C2211yescharacteristic, complemented
177#2562C2211yescharacteristic, complemented
178#2562C2211yescharacteristic, complemented
179#2557C2214yescomplemented
180#2557C2214yescomplemented
181#2555C2214yescomplemented
182#2553C2214yescomplemented
183#2547C2211yescharacteristic, complemented
184#2546C2211yescharacteristic, complemented
185#2543C2212yescomplemented
186#2543C2212yescomplemented
187#2540C2211yescharacteristic, complemented
188#2540C2211yescharacteristic, complemented
189#2537C2212yes—
190#2537C2212yescomplemented
191#2536C2212yescomplemented
192#2535C2212yes—
193#2535C2212yescomplemented
194#2535C2212yescomplemented
195#2521C2214yescomplemented
196#2500C2212yes—
197#2499C2212yescomplemented
198#2499C2212yescomplemented
199#2498C2214yescomplemented
200#2498C2212yescomplemented
201#2498C2212yescomplemented
202#2491C2214yescomplemented
203#2485C2212yes—
204#2485C2214yescomplemented
205#2485C2212yescomplemented
206#2484C2212yescomplemented
207#2482C2212yescomplemented
208#2480C2214yescomplemented
209#2478C2214yescomplemented
210#2476C2214yescomplemented
211#2469C2214yescomplemented
212#2468C2214yescomplemented
213#2467C2214yescomplemented
214#2466C2214yescomplemented
215#2465C2214yescomplemented
216#2464C2214yescomplemented
217#2464C2214yescomplemented
218#2463C2214yescomplemented
219#2462C2214yescomplemented
220#2460C2214yescomplemented
221#2458C2214yescomplemented
222#2456C2214yescomplemented
223#2456C2214yescomplemented
224#2442C2212yescomplemented
225#2441C2212yescomplemented
226#2440C2212yescomplemented
227#2439C2212yescomplemented
228#2432C2212yes—
229#2430C2212yescomplemented
230#2430C2212yescomplemented
231#2430C2214yescomplemented
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yescomplemented
235#2427C2212yescomplemented
236#2424C2214yescomplemented
237#2422C2212yes—
238#2422C2212yes—
239#2422C2214yescomplemented
240#2420C2212yes—
241#2420C2212yes—
242#2417C2212yescomplemented
243#2416C2212yescomplemented
244#2415C2214yescomplemented
245#2415C2212yescomplemented
246#2414C2214yescomplemented
247#2414C2212yescomplemented
248#2412C2214yescomplemented
249#2410C2214yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2214yescomplemented
255#2406C2212yescomplemented
256#2404C2212yescomplemented
257#2398C2211yescharacteristic, complemented
258#2398C2211yescharacteristic, complemented
259#2397C2211yescharacteristic, complemented
260#2397C2211yescharacteristic, complemented
261#2395C2212yescomplemented
262#2395C2212yescomplemented
263#2392C2214yes—
264#2392C2214yescomplemented
265#2388C2212yes—
266#2388C2212yescomplemented
267#2388C2212yescomplemented
268#2388C2212yescomplemented
269#2363C2212yescomplemented
270#2362C2212yescomplemented
271#2361C2212yescomplemented
272#2360C2212yescomplemented
273#2357C2212yes—
274#2354C2212yescomplemented
275#2353C2214yescomplemented
276#2352C2212yescomplemented
277#2352C2212yescomplemented
278#2349C2212yescomplemented
279D4×C4⋊C4C2212yescomplemented
280#2344C2212yescomplemented
281#2342C2214yescomplemented
282D4×C22⋊C4C2212yes—
283#2327C2212yescomplemented
284#2326C2212yescomplemented
285#2325C2214yescomplemented
286#2325C2214yescomplemented
287#2319C2211yescharacteristic
288#2319C2211yescharacteristic
289#2318C2212yescomplemented
290#2318C2212yescomplemented
291C4×#123C2214yescomplemented
292C4×#121C2212yescomplemented
293C4×#121C2212yescomplemented
294C4×#120C2214yescomplemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#381C2212yescomplemented
299#2275C2211yescharacteristic, complemented
300#2275C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311C24×C4C2312yes—
312#559—28no—
313#559—232no—
314#556—216no—
315#555—28no—
316#555—28no—
317#554—28no—
318#554—28no—
319#553—216no—
320#553—28no—
321#553—216no—
322#553—216no—
323#553—28no—
324#551—216no—
325#551—216no—
326#550—216no—
327#547—28no—
328#547—28no—
329#546—28no—
330#546—28no—
331#546—216no—
332D42—28no—
333#538—232no—
334#535—216no—
335#533—28no—
336#532—28no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344C2×#127C2314yes—
345C2×#127C2311yescharacteristic
346#529—216no—
347#529—28no—
348#529—28no—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2311yescharacteristic
356C2×#125C2312yes—
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#124C2312yes—
360C2×#124C2311yescharacteristic
361C2×#124C2314yes—
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368#525—216no—
369#525—216no—
370#525—216no—
371#525—216no—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2311yescharacteristic
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#120C2314yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C2×#120C2314yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438#520—216no—
439C4×#41—28no—
440C4×#41—28no—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2314yes—
448C2×C4×D4—216no—
449C2×C4×D4—28no—
450C2×C4×D4D4116yescomplemented
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2314yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2314yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521#400C2311yescharacteristic
522#400C2312yes—
523#400C2314yes—
524#400C2312yes—
525#400C2311yescharacteristic
526#400C2311yescharacteristic
527#400C2311yescharacteristic
528#399C2311yescharacteristic
529#399C2312yes—
530#399C2314yes—
531#399C2311yescharacteristic
532#399C2312yes—
533#399C2311yescharacteristic
534#399C2312yes—
535#399C2312yes—
536#399C2311yescharacteristic
537#398C2312yes—
538#398C2312yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2312yes—
546#398C2314yes—
547#398C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2312yes—
552#397C2312yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#395C2312yes—
576#395C2312yes—
577#395C2314yes—
578#395C2312yes—
579#395C2314yes—
580#395C2314yes—
581#395C2312yes—
582#395C2312yes—
583#395C2312yes—
584#394C2311yescharacteristic
585#394C2312yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2311yescharacteristic
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2311yescharacteristic
612#394C2312yes—
613#394C2312yes—
614#394C2311yescharacteristic
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#393C2312yes—
624#393C2312yes—
625#393C2314yes—
626#393C2312yes—
627#393C2314yes—
628#393C2314yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#392C2314yes—
635#392C2312yes—
636#392C2312yes—
637#392C2314yes—
638#392C2312yes—
639#392C2314yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2311yescharacteristic
653#392C2311yescharacteristic
654#392C2312yes—
655#392C2312yes—
656#392C2311yescharacteristic
657#392C2311yescharacteristic
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2314yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#384C2312yes—
780#384C2312yes—
781#384C2312yes—
782#383C2312yes—
783#383C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2311yescharacteristic
788#382C2311yescharacteristic
789#382C2312yes—
790#381C2312yes—
791#381C2312yes—
792#381C2314yes—
793#381C2314yes—
794#381C2314yes—
795#381C2314yes—
796#381C2311yescharacteristic
797#381C2311yescharacteristic
798#381C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—42no—
864C2×#41—84no—
865C2×#41—84no—
866C2×#41—84no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×D4—28no—
874C22×D4—24no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4C2×D418yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C23×C4—28no—
912C23×C4—84no—
913C23×C4—84no—
914C23×C4C2×D4116yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—44no—
946#127—24no—
947#127—216no—
948#127—24no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—216no—
953#126—216no—
954#126—28no—
955#125—28no—
956#125—24no—
957#125—24no—
958#125—28no—
959#124—24no—
960#124—216no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—216no—
965#124—24no—
966#124—28no—
967#124—44no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—216no—
972#123—216no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—48no—
981#123—84no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—84no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—24no—
1005#121—24no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—24no—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—44no—
1018#121—48no—
1019#121—48no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—216no—
1027#120—216no—
1028#120—28no—
1029#120—28no—
1030#120—28no—
1031#120—28no—
1032#120—48no—
1033#120—84no—
1034C4×Q8—24no—
1035C4×Q8—216no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—28no—
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—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—216no—
1057C4×D4—216no—
1058C4×D4—216no—
1059C4×D4—216no—
1060C4×D4—24no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—44no—
1071C4×D4—44no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—44no—
1076C4×D4—84no—
1077C4×D4—84no—
1078C4×D4C2×D418yes—
1079C4×D4C2×D4116yes—
1080C4×D4C2×D418yes—
1081C4×D4C2×D418yes—
1082C4×D4C2×D418yes—
1083C4×D4C2×D4116yes—
1084#117—24no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—24no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—24no—
1094#117—24no—
1095#117—28no—
1096#117—84no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—24no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4C2×D418yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—84no—
1158C2×C22⋊C4C2×D4116yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C42—28no—
1237C2×C42—24no—
1238C2×C42—24no—
1239C2×C42C2×D418yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—24no—
1311C24—44no—
1312C24—42no—
1313C24—42no—
1314C24—44no—
1315C24—44no—
1316C24—42no—
1317C24—44no—
1318C24C22×D418yes—
1319C24C2512yes—
1320C24C2512yes—
1321C24C2512yes—
1322C24C2511yescharacteristic
1323C24C2512yes—
1324C24C2511yescharacteristic
1325C24C2512yes—
1326C24C2511yescharacteristic
1327#41—432no—
1328#41—416no—
1329#41—416no—
1330#41—816no—
1331#41—816no—
1332#41—816no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—28no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—416no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—41no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—41no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—41no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—432no—
1429C2×D4—416no—
1430C2×D4C22×D414yes—
1431C2×D4C22×D414yes—
1432C2×D4C22×D418yes—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—28no—
1457C22×C4—28no—
1458C22×C4—24no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—44no—
1473C22×C4—42no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—816no—
1488C22×C4—816no—
1489C22×C4C22×D414yes—
1490C22×C4C22×D418yes—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D418yes—
1494C22×C4C22×D418yes—
1495C22×C4C22×D418yes—
1496C22×C4C22×D418yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2514yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2514yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2514yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—28no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4C22×D414yes—
1574C4⋊C4C22×D414yes—
1575C4⋊C4C22×D418yes—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—24no—
1599C22⋊C4—22no—
1600C22⋊C4—22no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—44no—
1649C22⋊C4C22×D418yes—
1650C22⋊C4C22×D418yes—
1651C22⋊C4C22×D418yes—
1652C22⋊C4C22×D418yes—
1653C42—22no—
1654C42—22no—
1655C42—24no—
1656C42—22no—
1657C42—24no—
1658C42—22no—
1659C42—24no—
1660C42—22no—
1661C42—22no—
1662C42—28no—
1663C42—28no—
1664C42—28no—
1665C42—24no—
1666C42—24no—
1667C42—44no—
1668C42—44no—
1669C42—42no—
1670C42—42no—
1671C42C22×D414yes—
1672C42C22×D414yes—
1673C42C22×D414yes—
1674C42C22×D414yes—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—24no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—24no—
1687C23—22no—
1688C23—24no—
1689C23—22no—
1690C23—24no—
1691C23—22no—
1692C23—21no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—22no—
1714C23—22no—
1715C23—48no—
1716C23—48no—
1717C23—48no—
1718C23—48no—
1719C23—48no—
1720C23—84no—
1721C23—88no—
1722C23—88no—
1723C23—88no—
1724C23—88no—
1725C23C23×D414yes—
1726C23C23×D412yes—
1727C23C23×D414yes—
1728C23#58512yes—
1729C23C2611yescharacteristic
1730Q8—44no—
1731Q8—48no—
1732Q8—48no—
1733Q8—44no—
1734Q8—84no—
1735Q8—84no—
1736D4—28no—
1737D4—28no—
1738D4—28no—
1739D4—48no—
1740D4—48no—
1741D4—44no—
1742D4—48no—
1743D4—44no—
1744D4—44no—
1745D4—48no—
1746D4—48no—
1747D4—48no—
1748D4—48no—
1749D4—44no—
1750D4—48no—
1751D4—48no—
1752D4—48no—
1753D4—44no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—88no—
1758D4—84no—
1759D4—84no—
1760D4—84no—
1761D4—88no—
1762D4—88no—
1763D4—88no—
1764D4—84no—
1765D4—84no—
1766D4—164no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—28no—
1779C2×C4—21no—
1780C2×C4—24no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—44no—
1828C2×C4—48no—
1829C2×C4—48no—
1830C2×C4—48no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—44no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—84no—
1846C2×C4—84no—
1847C2×C4—88no—
1848C2×C4—88no—
1849C2×C4—84no—
1850C2×C4—164no—
1851C2×C4—164no—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D414yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C23×D412yes—
1860C2×C4#58512yes—
1861C2×C4#58514yes—
1862C22—22no—
1863C22—22no—
1864C22—24no—
1865C22—24no—
1866C22—22no—
1867C22—24no—
1868C22—24no—
1869C22—24no—
1870C22—22no—
1871C22—24no—
1872C22—24no—
1873C22—41no—
1874C22—44no—
1875C22—44no—
1876C22—42no—
1877C22—44no—
1878C22—42no—
1879C22—44no—
1880C22—42no—
1881C22—41no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—44no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—816no—
1907C22—816no—
1908C22C24×D411yescharacteristic
1909C22C2×#58511yescharacteristic
1910C22C2×#58511yescharacteristic
1911C22C2×#58512yes—
1912C22H(7,𝔽2)12yes—
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—22no—
1918C4—24no—
1919C4—24no—
1920C4—22no—
1921C4—42no—
1922C4—41no—
1923C4—44no—
1924C4—41no—
1925C4—42no—
1926C4—41no—
1927C4—44no—
1928C4—42no—
1929C4—44no—
1930C4—42no—
1931C4—42no—
1932C4—44no—
1933C4—42no—
1934C4—41no—
1935C4—41no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4#344914yes—
1940C2—44no—
1941C2—42no—
1942C2—42no—
1943C2—44no—
1944C2—81no—
1945C2—82no—
1946C2—82no—
1947C2—82no—
1948C2C2×#344911yescharacteristic
1949C2#6281111yescharacteristic
1950C2#6284211yescharacteristic
1951C2#6293512yes—
1952C2#6293812yes—
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×#3506C2semidirect
2. C2×#3481C2semidirect
3. #42681C2semidirect
4. #42677C2semidirect
5. #42482C2semidirect
6. #42478C2semidirect
7. #42432C2semidirect
8. #42420C2semidirect
9. #41422C2semidirect
10. #41418C2semidirect
11. #40605C2semidirect
12. #40601C2semidirect
13. #40521C2semidirect
14. #40520C2semidirect
15. #39856C2semidirect
16. #39852C2semidirect
17. #39847C2semidirect
18. #39845C2semidirect
19. #37550C2semidirect
20. #37545C2semidirect
21. #37454C2semidirect
22. #37445C2semidirect
23. #36440C2semidirect
24. #36436C2semidirect
25. #36062C2semidirect
26. #36051C2semidirect
27. #35923C2semidirect
28. #35912C2semidirect
29. #35752C2semidirect
30. #35688C2semidirect
31. #35200C2semidirect
32. #35063C2semidirect
33. #34609C2semidirect
34. #34562C2semidirect
35. #34190C2semidirect
39. C2×#559C22semidirect
40. C2×#556C22semidirect
42. C2×#555C22semidirect
49. C2×#553C22semidirect
52. C2×#550C22semidirect
54. C2×#547C22semidirect
59. C2×#538C22semidirect
61. C2×#533C22semidirect
63. C2×#532C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C2×#520C22semidirect
77. #2853C22semidirect
78. #2851C22semidirect
79. #2851C22semidirect
80. #2849C22semidirect
81. #2821C22semidirect
82. #2818C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2816C22semidirect
86. #2815C22semidirect
87. #2814C22semidirect
89. #2812C22semidirect
90. #2722C22semidirect
91. #2717C22semidirect
92. #2715C22semidirect
93. #2710C22semidirect
94. #2709C22semidirect
95. #2706C22semidirect
96. #2700C22semidirect
97. #2695C22semidirect
98. #2691C22semidirect
99. #2691C22semidirect
100. #2687C22semidirect
102. #2686C22semidirect
104. #2680C22semidirect
105. #2678C22semidirect
106. #2676C22semidirect
107. #2675C22semidirect
108. #2674C22semidirect
110. #2673C22semidirect
111. #2671C22semidirect
112. #2670C22semidirect
114. #2663C22semidirect
115. #2663C22semidirect
116. #2661C22semidirect
117. #2661C22semidirect
118. #2661C22semidirect
119. #2660C22semidirect
120. #2660C22semidirect
121. #2640C22semidirect
122. #2640C22semidirect
124. #2638C22semidirect
125. #2638C22semidirect
126. #2638C22semidirect
127. #2638C22semidirect
128. #2637C22semidirect
129. #2637C22semidirect
132. #2635C22semidirect
133. #2635C22semidirect
134. #2635C22semidirect
135. #2635C22semidirect
136. #2635C22semidirect
137. #2632C22semidirect
138. #2631C22semidirect
139. #2630C22semidirect
140. #2630C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
143. #2627C22semidirect
144. #2626C22semidirect
145. #2625C22semidirect
146. #2624C22semidirect
147. #2624C22semidirect
148. #2622C22semidirect
149. #2619C22semidirect
150. #2619C22semidirect
151. #2618C22semidirect
153. #2617C22semidirect
154. #2617C22semidirect
155. #2616C22semidirect
156. #2616C22semidirect
159. #2615C22semidirect
161. #2610C22semidirect
162. #2602C22semidirect
163. #2602C22semidirect
165. #2600C22semidirect
166. #2600C22semidirect
167. #2600C22semidirect
168. #2599C22semidirect
169. #2599C22semidirect
170. #2599C22semidirect
171. #2567C22semidirect
172. #2566C22semidirect
173. #2565C22semidirect
174. #2564C22semidirect
175. #2564C22semidirect
176. #2563C22semidirect
177. #2562C22semidirect
178. #2562C22semidirect
179. #2557C22semidirect
180. #2557C22semidirect
181. #2555C22semidirect
182. #2553C22semidirect
183. #2547C22semidirect
184. #2546C22semidirect
185. #2543C22semidirect
186. #2543C22semidirect
187. #2540C22semidirect
188. #2540C22semidirect
190. #2537C22semidirect
191. #2536C22semidirect
193. #2535C22semidirect
194. #2535C22semidirect
195. #2521C22semidirect
197. #2499C22semidirect
198. #2499C22semidirect
199. #2498C22semidirect
200. #2498C22semidirect
201. #2498C22semidirect
202. #2491C22semidirect
204. #2485C22semidirect
205. #2485C22semidirect
206. #2484C22semidirect
207. #2482C22semidirect
208. #2480C22semidirect
209. #2478C22semidirect
210. #2476C22semidirect
211. #2469C22semidirect
212. #2468C22semidirect
213. #2467C22semidirect
214. #2466C22semidirect
215. #2465C22semidirect
216. #2464C22semidirect
217. #2464C22semidirect
218. #2463C22semidirect
219. #2462C22semidirect
220. #2460C22semidirect
221. #2458C22semidirect
222. #2456C22semidirect
223. #2456C22semidirect
224. #2442C22semidirect
225. #2441C22semidirect
226. #2440C22semidirect
227. #2439C22semidirect
229. #2430C22semidirect
230. #2430C22semidirect
231. #2430C22semidirect
234. #2427C22semidirect
235. #2427C22semidirect
236. #2424C22semidirect
239. #2422C22semidirect
242. #2417C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2412C22semidirect
254. #2407C22semidirect
255. #2406C22semidirect
256. #2404C22semidirect
257. #2398C22semidirect
258. #2398C22semidirect
259. #2397C22semidirect
260. #2397C22semidirect
261. #2395C22semidirect
262. #2395C22semidirect
264. #2392C22semidirect
266. #2388C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
269. #2363C22semidirect
270. #2362C22semidirect
271. #2361C22semidirect
272. #2360C22semidirect
274. #2354C22semidirect
275. #2353C22semidirect
276. #2352C22semidirect
277. #2352C22semidirect
278. #2349C22semidirect
279. D4×C4⋊C4C22semidirect
280. #2344C22semidirect
281. #2342C22semidirect
283. #2327C22semidirect
284. #2326C22semidirect
285. #2325C22semidirect
286. #2325C22semidirect
289. #2318C22semidirect
290. #2318C22semidirect
291. C4×#123C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. C4×#120C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C2×#381C22semidirect
299. #2275C22semidirect
300. #2275C22semidirect
450. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
C2×#34812
#426812
#426772
#424822
#424782
#424322
#424202
#414222
#414182
#406052
#406012
#405212
#405202
#398562
#398522
#398472
#398452
#375502
#375452
#374542
#374452
#364402
#364362
#360622
#360512
#359232
#359122
#357522
#356882
#352002
#350632
#346092
#345622
#341902