Finite Group Databasebeta

← #7647509

Subgroups — #7647509

Order 512.

7023 conjugacy classes of subgroups.

The subgroup lattice has 1931 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42891C211yesmaximal, characteristic, complemented
4#42890C211yesmaximal, characteristic, complemented
5#42887C211yesmaximal, characteristic, complemented
6#42886C211yesmaximal, characteristic, complemented
7#42485C211yesmaximal, characteristic, complemented
8#42484C211yesmaximal, characteristic, complemented
9#42481C211yesmaximal, characteristic, complemented
10#42480C211yesmaximal, characteristic, complemented
11#40607C212yesmaximal, complemented
12#40606C212yesmaximal, complemented
13#40603C212yesmaximal, complemented
14#40602C212yesmaximal, complemented
15#39963C212yesmaximal, complemented
16#39960C212yesmaximal, complemented
17#39958C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#39947C214yesmaximal, complemented
20#39944C214yesmaximal, complemented
21#37606C212yesmaximal, complemented
22#37558C212yesmaximal, complemented
23#37235C214yesmaximal, complemented
24#37122C214yesmaximal, complemented
25#35524C212yesmaximal, complemented
26#35523C212yesmaximal, complemented
27#35303C211yesmaximal, characteristic, complemented
28#35243C212yesmaximal, complemented
29#35212C211yesmaximal, characteristic, complemented
30#35210C212yesmaximal, complemented
31#35195C212yesmaximal, complemented
32#35129C212yesmaximal, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34876C211yesmaximal, characteristic, complemented
35#34056C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3480—216no—
38C2×#559C2211yescharacteristic
39C2×#559C2211yescharacteristic
40C2×#559C2212yescomplemented
41C2×#557C2211yescharacteristic, complemented
42C2×#556C2211yescharacteristic
43C2×#556C2212yescomplemented
44C2×#556C2211yescharacteristic, complemented
45C2×#555C2212yes—
46C2×#553C2211yescharacteristic
47C2×#553C2212yescomplemented
48C2×#553C2211yescharacteristic, complemented
49C2×#553C2212yescomplemented
50C2×#551C2214yes—
51C2×#550C2211yescharacteristic
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#548C2212yes—
55C2×#548C2211yescharacteristic, complemented
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×D42C2211yescharacteristic
59C2×#542C2212yes—
60C2×#538C2214yes—
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2212yescomplemented
64C2×#529C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2212yescomplemented
68C2×#529C2211yescharacteristic, complemented
69C2×#529C2212yescomplemented
70C22×#124C2212yes—
71C2×#518C2212yes—
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2212yescomplemented
74C2×C4×#41C2211yescharacteristic, complemented
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×Q8C2211yescharacteristic, complemented
77#2860C2214yescomplemented
78#2856C2212yescomplemented
79#2852C2214yescomplemented
80#2852C2214yescomplemented
81#2850C2214yescomplemented
82#2850C2212yescomplemented
83#2850C2214yescomplemented
84#2820C2212yes—
85#2820C2212yescomplemented
86#2819C2212yes—
87#2819C2212yescomplemented
88#2814C2212yescomplemented
89#2814C2212yescomplemented
90#2813C2212yes—
91#2813C2212yes—
92#2723C2214yescomplemented
93#2721C2214yescomplemented
94#2716C2214yescomplemented
95#2715C2214yescomplemented
96#2714C2214yescomplemented
97#2712C2214yescomplemented
98#2700C2214yescomplemented
99#2698C2214yescomplemented
100#2696C2214yescomplemented
101#2694C2214yescomplemented
102#2691C2214yescomplemented
103#2688C2214yescomplemented
104#2686C2214yescomplemented
105#2685C2214yes—
106#2684C2214yescomplemented
107#2681C2214yescomplemented
108#2680C2214yescomplemented
109#2678C2214yes—
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2675C2214yescomplemented
113#2674C2214yescomplemented
114#2673C2214yescomplemented
115#2673C2214yescomplemented
116#2672C2214yescomplemented
117#2671C2214yescomplemented
118#2671C2214yescomplemented
119#2670C2214yes—
120#2669C2214yes—
121#2669C2214yescomplemented
122#2668C2214yescomplemented
123#2668C2214yescomplemented
124#2663C2214yescomplemented
125#2663C2212yescomplemented
126#2662C2214yescomplemented
127#2662C2214yescomplemented
128#2661C2212yes—
129#2661C2214yescomplemented
130#2660C2211yescharacteristic, complemented
131#2657C2211yescharacteristic
132#2641C2211yescharacteristic
133#2640C2211yescharacteristic, complemented
134#2638C2212yescomplemented
135#2638C2212yescomplemented
136#2637C2214yescomplemented
137#2636C2214yescomplemented
138#2635C2212yes—
139#2635C2212yes—
140#2634C2212yescomplemented
141#2633C2212yescomplemented
142#2632C2212yes—
143#2632C2214yescomplemented
144#2632C2212yescomplemented
145#2632C2212yescomplemented
146#2631C2212yes—
147#2631C2212yescomplemented
148#2631C2214yescomplemented
149#2631C2212yescomplemented
150#2614C2212yescomplemented
151#2614C2212yescomplemented
152#2613C2212yes—
153#2613C2212yes—
154#2611C2211yescharacteristic, complemented
155#2611C2211yescharacteristic, complemented
156#2611C2212yescomplemented
157#2610C2211yescharacteristic
158#2610C2212yes—
159#2610C2211yescharacteristic
160#2610C2212yescomplemented
161#2610C2212yescomplemented
162#2610C2212yescomplemented
163#2610C2212yescomplemented
164#2604C2212yescomplemented
165#2603C2212yescomplemented
166#2603C2214yescomplemented
167#2602C2214yescomplemented
168#2602C2214yescomplemented
169#2602C2214yescomplemented
170#2601C2214yescomplemented
171#2601C2214yescomplemented
172#2600C2214yescomplemented
173#2600C2214yescomplemented
174#2592C2214yescomplemented
175#2592C2211yescharacteristic, complemented
176#2584C2211yescharacteristic, complemented
177#2581C2212yescomplemented
178#2580C2212yescomplemented
179#2567C2211yescharacteristic, complemented
180#2564C2211yescharacteristic, complemented
181#2564C2211yescharacteristic, complemented
182#2563C2211yescharacteristic, complemented
183#2562C2211yescharacteristic
184#2561C2214yescomplemented
185#2548C2211yescharacteristic
186#2543C2211yescharacteristic
187#2543C2211yescharacteristic
188#2543C2214yescomplemented
189#2541C2211yescharacteristic
190#2540C2211yescharacteristic
191#2540C2214yescomplemented
192#2539C2214yescomplemented
193#2536C2212yescomplemented
194#2535C2212yescomplemented
195#2534C2214yescomplemented
196#2534C2214yescomplemented
197#2500C2212yescomplemented
198#2498C2212yescomplemented
199#2485C2214yescomplemented
200#2482C2214yescomplemented
201#2480C2214yescomplemented
202#2477C2214yescomplemented
203#2472C2214yescomplemented
204#2471C2214yescomplemented
205#2466C2214yescomplemented
206#2465C2214yescomplemented
207#2463C2214yescomplemented
208#2459C2214yescomplemented
209#2458C2214yescomplemented
210#2456C2214yescomplemented
211#2456C2214yescomplemented
212#2455C2214yescomplemented
213#2454C2212yescomplemented
214#2452C2212yescomplemented
215#2452C2212yescomplemented
216#2451C2212yescomplemented
217#2449C2214yescomplemented
218#2448C2212yescomplemented
219#2448C2212yescomplemented
220#2447C2212yes—
221#2445C2212yes—
222#2443C2214yescomplemented
223#2441C2212yescomplemented
224#2440C2212yescomplemented
225#2439C2212yescomplemented
226#2439C2212yescomplemented
227#2436C2212yescomplemented
228#2435C2212yes—
229#2433C2212yes—
230#2431C2212yescomplemented
231#2431C2212yescomplemented
232#2430C2212yescomplemented
233#2430C2212yescomplemented
234#2430C2212yescomplemented
235#2428C2212yes—
236#2428C2212yescomplemented
237#2427C2212yescomplemented
238#2426C2212yes—
239#2424C2214yescomplemented
240#2423C2212yescomplemented
241#2422C2212yes—
242#2421C2212yescomplemented
243#2420C2212yes—
244#2418C2214yescomplemented
245#2416C2212yes—
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2414C2212yes—
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2409C2212yescomplemented
254#2409C2212yescomplemented
255#2409C2212yescomplemented
256#2408C2212yes—
257#2408C2212yes—
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yescomplemented
261#2407C2214yescomplemented
262#2404C2214yescomplemented
263#2399C2211yescharacteristic, complemented
264#2398C2211yescharacteristic
265#2398C2211yescharacteristic, complemented
266#2397C2211yescharacteristic
267#2388C2212yescomplemented
268#2388C2212yescomplemented
269#2328C2212yescomplemented
270#2326C2212yescomplemented
271#2324C2214yescomplemented
272#2324C2212yescomplemented
273#2323C2214yescomplemented
274#2323C2212yescomplemented
275#2321C2214yescomplemented
276#2321C2214yescomplemented
277#2320C2212yescomplemented
278#2320C2211yescharacteristic, complemented
279#2320C2211yescharacteristic, complemented
280#2319C2212yes—
281#2319C2211yescharacteristic
282#2319C2211yescharacteristic
283#2318C2214yescomplemented
284#2318C2212yescomplemented
285#2318C2212yescomplemented
286C4×#127C2212yescomplemented
287C4×#124C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2298C2214yescomplemented
293#2297C2212yes—
294#2296C2212yescomplemented
295#2290C2212yescomplemented
296#2290C2212yescomplemented
297#2283C2212yescomplemented
298#2283C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×#376C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310#559—28no—
311#559—28no—
312#559—216no—
313#557—28no—
314#556—28no—
315#556—216no—
316#556—28no—
317#555—216no—
318#553—28no—
319#553—216no—
320#553—216no—
321#553—28no—
322#551—232no—
323#550—28no—
324D4×Q8—28no—
325#548—28no—
326#548—28no—
327#548—216no—
328#546—216no—
329#546—216no—
330D42—28no—
331#542—216no—
332#538—232no—
333#532—28no—
334#532—216no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×#127C2311yescharacteristic
341C2×#127C2312yes—
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—28no—
346#529—216no—
347#529—216no—
348#529—28no—
349#529—216no—
350#529—28no—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#124—216no—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442#518—216no—
443C4×#41—28no—
444C4×#41—216no—
445C4×#41—28no—
446C4×#41D4116yescomplemented
447C2×C4×Q8—28no—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2314yes—
516C22×C42C2312yes—
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2312yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523#400C2312yes—
524#400C2311yescharacteristic
525#400C2311yescharacteristic
526#400C2312yes—
527#400C2314yes—
528#399C2311yescharacteristic
529#399C2311yescharacteristic
530#399C2314yes—
531#399C2314yes—
532#399C2312yes—
533#399C2312yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2314yes—
542#398C2311yescharacteristic
543#398C2311yescharacteristic
544#398C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2312yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2311yescharacteristic
558#397C2311yescharacteristic
559#397C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#395C2311yescharacteristic
569#395C2311yescharacteristic
570#395C2312yes—
571#395C2312yes—
572#395C2312yes—
573#395C2312yes—
574#395C2312yes—
575#395C2312yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#394C2312yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2311yescharacteristic
585#394C2312yes—
586#394C2312yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2311yescharacteristic
602#394C2312yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#393C2314yes—
610#393C2314yes—
611#393C2312yes—
612#393C2312yes—
613#393C2312yes—
614#393C2311yescharacteristic
615#393C2312yes—
616#393C2311yescharacteristic
617#393C2314yes—
618#393C2314yes—
619#393C2312yes—
620#393C2312yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#392C2311yescharacteristic
625#392C2312yes—
626#392C2314yes—
627#392C2312yes—
628#392C2312yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2312yes—
636#392C2314yes—
637#392C2311yescharacteristic
638#392C2312yes—
639#392C2312yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2314yes—
651#391C2312yes—
652#391C2312yes—
653#391C2314yes—
654#391C2314yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#390C2314yes—
667#390C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2312yes—
691#389C2314yes—
692#389C2312yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2312yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2312yes—
742#387C2312yes—
743#387C2314yes—
744#387C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
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#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#386C2312yes—
775#386C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2312yes—
790#385C2312yes—
791#385C2314yes—
792#385C2314yes—
793#384C2312yes—
794#384C2312yes—
795#383C2314yes—
796#383C2312yes—
797#383C2312yes—
798#382C2312yes—
799#382C2312yes—
800#382C2312yes—
801#382C2314yes—
802#382C2312yes—
803#381C2314yes—
804#381C2314yes—
805#381C2314yes—
806#381C2312yes—
807#381C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840#376C2312yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2312yes—
844#376C2311yescharacteristic
845#376C2311yescharacteristic
846#376C2312yes—
847C2×#95C2311yescharacteristic
848C2×#95C2311yescharacteristic
849C2×#95C2312yes—
850C43C2312yes—
851C25C2414yes—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—44no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—84no—
863C2×#41C2×D418yes—
864C22×Q8—24no—
865C22×Q8—28no—
866C22×Q8—44no—
867C22×Q8—84no—
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2414yes—
876C22×D4—28no—
877C22×D4—28no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4—84no—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—24no—
936#127—24no—
937#127—28no—
938#127—24no—
939#127—44no—
940#127—44no—
941#126—216no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—216no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#125—24no—
951#125—28no—
952#125—24no—
953#125—28no—
954#125—24no—
955#124—28no—
956#124—24no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—216no—
962#124—24no—
963#124—28no—
964#124—216no—
965#124—28no—
966#124—28no—
967#124—216no—
968#124—28no—
969#124—24no—
970#124—44no—
971#124—44no—
972#123—28no—
973#123—216no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—84no—
983#123—84no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—48no—
994C22⋊Q8—44no—
995C22⋊Q8—84no—
996C22⋊Q8—84no—
997#121—24no—
998#121—28no—
999#121—24no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—216no—
1015#121—44no—
1016#121—44no—
1017#121—48no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—84no—
1022#121—84no—
1023#121—84no—
1024#121—84no—
1025#120—216no—
1026#120—216no—
1027#120—48no—
1028#120—48no—
1029#120—84no—
1030#120—84no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8C2×D418yes—
1044C4×Q8C2×D418yes—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—216no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—84no—
1076C4×D4—84no—
1077C4×D4C2×D418yes—
1078C4×D4C2×D4116yes—
1079C4×D4C2×D418yes—
1080C4×D4C2×D4116yes—
1081#117—28no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—24no—
1087#117—28no—
1088#117—24no—
1089#117—28no—
1090#117—216no—
1091#117—44no—
1092#117C2×D4116yes—
1093#117C2×D418yes—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C22⋊C4—216no—
1150C2×C22⋊C4—216no—
1151C2×C22⋊C4—216no—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C42—24no—
1228C2×C42—28no—
1229C2×C42—24no—
1230C2×C42—28no—
1231C2×C42—44no—
1232C2×C42C2×D4116yes—
1233C2×C42C2×D418yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2414yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—28no—
1310C24—44no—
1311C24—44no—
1312C24—44no—
1313C24—44no—
1314C24—44no—
1315C24—44no—
1316C24C2512yes—
1317C24C2514yes—
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323#41—416no—
1324#41—432no—
1325#41—416no—
1326#41—416no—
1327#41—816no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—28no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—22no—
1339C2×Q8—44no—
1340C2×Q8—42no—
1341C2×Q8—44no—
1342C2×Q8—41no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—416no—
1347C2×Q8—816no—
1348C2×Q8C22×D414yes—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—41no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—41no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—41no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
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—432no—
1423C2×D4—816no—
1424C2×D4C22×D414yes—
1425C2×D4C22×D418yes—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—28no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—28no—
1447C22×C4—28no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4C22×D414yes—
1478C22×C4C22×D418yes—
1479C22×C4C22×D418yes—
1480C22×C4C22×D414yes—
1481C22×C4C22×D418yes—
1482C22×C4C22×D414yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2514yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2514yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—28no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D418yes—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4C22×D418yes—
1637C22⋊C4C22×D418yes—
1638C22⋊C4C22×D418yes—
1639C42—22no—
1640C42—22no—
1641C42—24no—
1642C42—22no—
1643C42—24no—
1644C42—24no—
1645C42—22no—
1646C42—22no—
1647C42—24no—
1648C42—24no—
1649C42—22no—
1650C42—28no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—42no—
1655C42—42no—
1656C42—44no—
1657C42—44no—
1658C42—42no—
1659C42—42no—
1660C42C22×D414yes—
1661C42C22×D418yes—
1662C42C22×D414yes—
1663C42C22×D418yes—
1664C42C22×D414yes—
1665C42C22×D418yes—
1666C42C22×D414yes—
1667C23—21no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—24no—
1676C23—22no—
1677C23—24no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—21no—
1682C23—24no—
1683C23—24no—
1684C23—22no—
1685C23—22no—
1686C23—24no—
1687C23—22no—
1688C23—21no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—24no—
1699C23—24no—
1700C23—24no—
1701C23—22no—
1702C23—22no—
1703C23—416no—
1704C23—88no—
1705C23—88no—
1706C23—164no—
1707C23—164no—
1708C23—164no—
1709C23—164no—
1710C23C23×D414yes—
1711C23C23×D412yes—
1712C23#58512yes—
1713C23C2611yescharacteristic
1714Q8—28no—
1715Q8—48no—
1716Q8—44no—
1717Q8—48no—
1718Q8—44no—
1719Q8—48no—
1720Q8—44no—
1721Q8—88no—
1722D4—28no—
1723D4—48no—
1724D4—44no—
1725D4—48no—
1726D4—48no—
1727D4—44no—
1728D4—44no—
1729D4—48no—
1730D4—48no—
1731D4—44no—
1732D4—48no—
1733D4—416no—
1734D4—48no—
1735D4—44no—
1736D4—84no—
1737D4—88no—
1738D4—84no—
1739D4—84no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—88no—
1744D4—88no—
1745D4—84no—
1746D4—88no—
1747D4—164no—
1748D4—164no—
1749D4—164no—
1750C2×C4—28no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—28no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—44no—
1818C2×C4—48no—
1819C2×C4—48no—
1820C2×C4—44no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—88no—
1826C2×C4—82no—
1827C2×C4—82no—
1828C2×C4—84no—
1829C2×C4—84no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—84no—
1833C2×C4—84no—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D414yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D414yes—
1839C2×C4C23×D412yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D412yes—
1842C2×C4C23×D412yes—
1843C2×C4#58512yes—
1844C2×C4#58514yes—
1845C22—22no—
1846C22—22no—
1847C22—24no—
1848C22—24no—
1849C22—22no—
1850C22—22no—
1851C22—24no—
1852C22—24no—
1853C22—41no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—44no—
1858C22—42no—
1859C22—44no—
1860C22—41no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—44no—
1865C22—41no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—42no—
1874C22—44no—
1875C22—42no—
1876C22—44no—
1877C22—44no—
1878C22—42no—
1879C22—44no—
1880C22—44no—
1881C22—42no—
1882C22—44no—
1883C22—42no—
1884C22—1616no—
1885C22C24×D411yescharacteristic
1886C22C2×#58511yescharacteristic
1887C22C2×#58511yescharacteristic
1888C22C2×#58512yes—
1889C22H(7,𝔽2)12yes—
1890C4—22no—
1891C4—22no—
1892C4—24no—
1893C4—22no—
1894C4—22no—
1895C4—22no—
1896C4—24no—
1897C4—22no—
1898C4—24no—
1899C4—42no—
1900C4—41no—
1901C4—42no—
1902C4—41no—
1903C4—44no—
1904C4—42no—
1905C4—41no—
1906C4—42no—
1907C4—41no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4—42no—
1912C4—42no—
1913C4—44no—
1914C4—42no—
1915C4—42no—
1916C4—44no—
1917C4#344914yes—
1918C2—42no—
1919C2—42no—
1920C2—44no—
1921C2—81no—
1922C2—82no—
1923C2—84no—
1924C2—82no—
1925C2C2×#344911yescharacteristic
1926C2#6281111yescharacteristic
1927C2#6285211yescharacteristic
1928C2#6296612yes—
1929C2#6297012yes—
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×#3514C2semidirect
2. C2×#3480C2semidirect
3. #42891C2semidirect
4. #42890C2semidirect
5. #42887C2semidirect
6. #42886C2semidirect
7. #42485C2semidirect
8. #42484C2semidirect
9. #42481C2semidirect
10. #42480C2semidirect
11. #40607C2semidirect
12. #40606C2semidirect
13. #40603C2semidirect
14. #40602C2semidirect
15. #39963C2semidirect
16. #39960C2semidirect
17. #39958C2semidirect
18. #39957C2semidirect
19. #39947C2semidirect
20. #39944C2semidirect
21. #37606C2semidirect
22. #37558C2semidirect
23. #37235C2semidirect
24. #37122C2semidirect
25. #35524C2semidirect
26. #35523C2semidirect
27. #35303C2semidirect
28. #35243C2semidirect
29. #35212C2semidirect
30. #35210C2semidirect
31. #35195C2semidirect
32. #35129C2semidirect
33. #34977C2semidirect
34. #34876C2semidirect
35. #34056C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
47. C2×#553C22semidirect
48. C2×#553C22semidirect
49. C2×#553C22semidirect
55. C2×#548C22semidirect
63. C2×#532C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
76. C22×C4×Q8C22semidirect
77. #2860C22semidirect
78. #2856C22semidirect
79. #2852C22semidirect
80. #2852C22semidirect
81. #2850C22semidirect
82. #2850C22semidirect
83. #2850C22semidirect
85. #2820C22semidirect
87. #2819C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
92. #2723C22semidirect
93. #2721C22semidirect
94. #2716C22semidirect
95. #2715C22semidirect
96. #2714C22semidirect
97. #2712C22semidirect
98. #2700C22semidirect
99. #2698C22semidirect
100. #2696C22semidirect
101. #2694C22semidirect
102. #2691C22semidirect
103. #2688C22semidirect
104. #2686C22semidirect
106. #2684C22semidirect
107. #2681C22semidirect
108. #2680C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2675C22semidirect
113. #2674C22semidirect
114. #2673C22semidirect
115. #2673C22semidirect
116. #2672C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
121. #2669C22semidirect
122. #2668C22semidirect
123. #2668C22semidirect
124. #2663C22semidirect
125. #2663C22semidirect
126. #2662C22semidirect
127. #2662C22semidirect
129. #2661C22semidirect
130. #2660C22semidirect
133. #2640C22semidirect
134. #2638C22semidirect
135. #2638C22semidirect
136. #2637C22semidirect
137. #2636C22semidirect
140. #2634C22semidirect
141. #2633C22semidirect
143. #2632C22semidirect
144. #2632C22semidirect
145. #2632C22semidirect
147. #2631C22semidirect
148. #2631C22semidirect
149. #2631C22semidirect
150. #2614C22semidirect
151. #2614C22semidirect
154. #2611C22semidirect
155. #2611C22semidirect
156. #2611C22semidirect
160. #2610C22semidirect
161. #2610C22semidirect
162. #2610C22semidirect
163. #2610C22semidirect
164. #2604C22semidirect
165. #2603C22semidirect
166. #2603C22semidirect
167. #2602C22semidirect
168. #2602C22semidirect
169. #2602C22semidirect
170. #2601C22semidirect
171. #2601C22semidirect
172. #2600C22semidirect
173. #2600C22semidirect
174. #2592C22semidirect
175. #2592C22semidirect
176. #2584C22semidirect
177. #2581C22semidirect
178. #2580C22semidirect
179. #2567C22semidirect
180. #2564C22semidirect
181. #2564C22semidirect
182. #2563C22semidirect
184. #2561C22semidirect
188. #2543C22semidirect
191. #2540C22semidirect
192. #2539C22semidirect
193. #2536C22semidirect
194. #2535C22semidirect
195. #2534C22semidirect
196. #2534C22semidirect
197. #2500C22semidirect
198. #2498C22semidirect
199. #2485C22semidirect
200. #2482C22semidirect
201. #2480C22semidirect
202. #2477C22semidirect
203. #2472C22semidirect
204. #2471C22semidirect
205. #2466C22semidirect
206. #2465C22semidirect
207. #2463C22semidirect
208. #2459C22semidirect
209. #2458C22semidirect
210. #2456C22semidirect
211. #2456C22semidirect
212. #2455C22semidirect
213. #2454C22semidirect
214. #2452C22semidirect
215. #2452C22semidirect
216. #2451C22semidirect
217. #2449C22semidirect
218. #2448C22semidirect
219. #2448C22semidirect
222. #2443C22semidirect
223. #2441C22semidirect
224. #2440C22semidirect
225. #2439C22semidirect
226. #2439C22semidirect
227. #2436C22semidirect
230. #2431C22semidirect
231. #2431C22semidirect
232. #2430C22semidirect
233. #2430C22semidirect
234. #2430C22semidirect
236. #2428C22semidirect
237. #2427C22semidirect
239. #2424C22semidirect
240. #2423C22semidirect
242. #2421C22semidirect
244. #2418C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2409C22semidirect
254. #2409C22semidirect
255. #2409C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
262. #2404C22semidirect
263. #2399C22semidirect
265. #2398C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
269. #2328C22semidirect
270. #2326C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2323C22semidirect
275. #2321C22semidirect
276. #2321C22semidirect
277. #2320C22semidirect
278. #2320C22semidirect
279. #2320C22semidirect
283. #2318C22semidirect
284. #2318C22semidirect
285. #2318C22semidirect
286. C4×#127C22semidirect
287. C4×#124C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2298C22semidirect
294. #2296C22semidirect
295. #2290C22semidirect
296. #2290C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×#376C22semidirect
446. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34802
#428912
#428902
#428872
#428862
#424852
#424842
#424812
#424802
#406072
#406062
#406032
#406022
#399632
#399602
#399582
#399572
#399472
#399442
#376062
#375582
#372352
#371222
#355242
#355232
#353032
#352432
#352122
#352102
#351952
#351292
#349772
#348762
#340562