Finite Group Databasebeta

← #7656378

Subgroups — #7656378

Order 512.

7018 conjugacy classes of subgroups.

The subgroup lattice has 1919 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic, complemented
3#42649C211yesmaximal, characteristic, complemented
4#42645C211yesmaximal, characteristic, complemented
5#42435C212yesmaximal, complemented
6#42429C211yesmaximal, characteristic, complemented
7#42425C211yesmaximal, characteristic, complemented
8#42422C212yesmaximal, complemented
9#41385C212yesmaximal, complemented
10#41381C212yesmaximal, complemented
11#41378C214yesmaximal, complemented
12#40504C212yesmaximal, complemented
13#40500C212yesmaximal, complemented
14#40498C214yesmaximal, complemented
15#39953C212yesmaximal, complemented
16#39949C212yesmaximal, complemented
17#39942C214yesmaximal, complemented
18#39940C214yesmaximal, complemented
19#37559C211yesmaximal, characteristic, complemented
20#37551C211yesmaximal, characteristic, complemented
21#37445C212yesmaximal, complemented
22#37443C212yesmaximal, complemented
23#36471C212yesmaximal, complemented
24#36469C212yesmaximal, complemented
25#36033C211yesmaximal, characteristic, complemented
26#35846C211yesmaximal, characteristic, complemented
27#35802C212yesmaximal, complemented
28#35741C211yesmaximal, characteristic, complemented
29#35715C212yesmaximal, complemented
30#35704C211yesmaximal, characteristic, complemented
31#35191C211yesmaximal, characteristic, complemented
32#35064C212yesmaximal, complemented
33#34631C211yesmaximal, characteristic, complemented
34#34575C212yesmaximal, complemented
35#34126C211yesmaximal, characteristic, complemented
36#3513—216no—
37#3506—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#559C2212yescomplemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic, complemented
43C2×#555C2212yescomplemented
44C2×#554C2211yescharacteristic
45C2×#553C2212yes—
46C2×#553C2211yescharacteristic
47C2×#553C2214yescomplemented
48C2×#552C2211yescharacteristic
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×#550C2211yescharacteristic
52C2×#550C2211yescharacteristic, complemented
53C2×#547C2211yescharacteristic
54C2×#547C2212yescomplemented
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#540C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#538C2214yescomplemented
64C2×#535C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C2×#525C2212yescomplemented
71C2×#525C2212yescomplemented
72C22×#123C2212yes—
73C2×#520C2211yescharacteristic
74C2×#520C2212yescomplemented
75C2×#518C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2861C2212yescomplemented
78#2858C2212yescomplemented
79#2854C2214yescomplemented
80#2854C2214yescomplemented
81#2821C2212yescomplemented
82#2821C2212yescomplemented
83#2816C2212yescomplemented
84#2815C2212yes—
85#2814C2212yescomplemented
86#2814C2212yescomplemented
87#2813C2212yescomplemented
88#2813C2212yescomplemented
89#2812C2214yes—
90#2812C2214yescomplemented
91#2722C2214yescomplemented
92#2715C2214yescomplemented
93#2710C2214yescomplemented
94#2708C2214yescomplemented
95#2708C2214yescomplemented
96#2706C2214yescomplemented
97#2700C2214yescomplemented
98#2695C2214yescomplemented
99#2691C2214yescomplemented
100#2691C2214yescomplemented
101#2688C2214yes—
102#2688C2214yescomplemented
103#2687C2214yescomplemented
104#2680C2214yescomplemented
105#2678C2214yescomplemented
106#2676C2214yescomplemented
107#2675C2214yescomplemented
108#2674C2214yescomplemented
109#2671C2214yes—
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2670C2214yescomplemented
113#2668C2214yes—
114#2668C2214yes—
115#2664C2212yescomplemented
116#2664C2212yescomplemented
117#2663C2211yescharacteristic
118#2663C2211yescharacteristic
119#2663C2214yescomplemented
120#2663C2211yescharacteristic, complemented
121#2663C2212yescomplemented
122#2663C2211yescharacteristic, complemented
123#2663C2212yescomplemented
124#2661C2212yes—
125#2661C2214yescomplemented
126#2661C2212yescomplemented
127#2661C2212yescomplemented
128#2661C2212yescomplemented
129#2660C2211yescharacteristic, complemented
130#2659C2212yescomplemented
131#2658C2211yescharacteristic, complemented
132#2656C2212yescomplemented
133#2642C2211yescharacteristic, complemented
134#2640C2211yescharacteristic, complemented
135#2639C2212yescomplemented
136#2639C2212yescomplemented
137#2638C2212yescomplemented
138#2638C2214yescomplemented
139#2638C2212yescomplemented
140#2635C2212yescomplemented
141#2635C2212yescomplemented
142#2633C2212yescomplemented
143#2631C2212yescomplemented
144#2630C2214yes—
145#2630C2214yescomplemented
146#2625C2212yescomplemented
147#2625C2212yescomplemented
148#2624C2212yes—
149#2624C2212yescomplemented
150#2622C2214yescomplemented
151#2621C2211yescharacteristic, complemented
152#2621C2212yescomplemented
153#2621C2211yescharacteristic, complemented
154#2620C2212yes—
155#2619C2211yescharacteristic, complemented
156#2619C2211yescharacteristic, complemented
157#2617C2214yes—
158#2617C2214yescomplemented
159#2616C2212yescomplemented
160#2615C2212yescomplemented
161#2613C2214yes—
162#2611C2214yescomplemented
163#2603C2212yescomplemented
164#2603C2212yescomplemented
165#2603C2212yescomplemented
166#2603C2212yescomplemented
167#2602C2214yes—
168#2602C2214yescomplemented
169#2602C2214yescomplemented
170#2602C2214yescomplemented
171#2602C2214yescomplemented
172#2602C2214yescomplemented
173#2592C2212yescomplemented
174#2592C2212yescomplemented
175#2591C2212yescomplemented
176#2584C2212yescomplemented
177#2583C2212yescomplemented
178#2581C2211yescharacteristic, complemented
179#2581C2211yescharacteristic, complemented
180#2580C2211yescharacteristic, complemented
181#2580C2211yescharacteristic, complemented
182#2561C2212yescomplemented
183#2557C2214yescomplemented
184#2557C2214yescomplemented
185#2555C2214yescomplemented
186#2553C2214yescomplemented
187#2548C2211yescharacteristic, complemented
188#2547C2212yescomplemented
189#2547C2211yescharacteristic, complemented
190#2546C2211yescharacteristic, complemented
191#2544C2212yes—
192#2544C2212yescomplemented
193#2541C2212yes—
194#2541C2211yescharacteristic, complemented
195#2540C2212yescomplemented
196#2539C2212yescomplemented
197#2521C2214yescomplemented
198#2498C2212yescomplemented
199#2498C2212yescomplemented
200#2491C2214yescomplemented
201#2485C2214yescomplemented
202#2484C2212yescomplemented
203#2482C2212yescomplemented
204#2481C2214yescomplemented
205#2480C2214yescomplemented
206#2479C2214yescomplemented
207#2478C2214yescomplemented
208#2477C2214yescomplemented
209#2476C2214yescomplemented
210#2475C2214yescomplemented
211#2473C2214yescomplemented
212#2471C2214yescomplemented
213#2468C2214yescomplemented
214#2466C2214yescomplemented
215#2464C2214yescomplemented
216#2464C2214yescomplemented
217#2456C2214yescomplemented
218#2454C2212yescomplemented
219#2453C2212yescomplemented
220#2452C2212yescomplemented
221#2451C2212yescomplemented
222#2449C2214yescomplemented
223#2447C2212yes—
224#2447C2212yes—
225#2445C2212yes—
226#2445C2212yes—
227#2443C2214yescomplemented
228#2435C2212yes—
229#2433C2212yes—
230#2432C2212yes—
231#2432C2212yescomplemented
232#2431C2212yes—
233#2431C2212yes—
234#2430C2212yescomplemented
235#2430C2212yescomplemented
236#2429C2212yescomplemented
237#2428C2212yes—
238#2428C2212yescomplemented
239#2428C2212yescomplemented
240#2427C2212yes—
241#2427C2212yescomplemented
242#2427C2212yescomplemented
243#2426C2212yescomplemented
244#2424C2214yescomplemented
245#2422C2214yescomplemented
246#2415C2214yescomplemented
247#2414C2214yescomplemented
248#2414C2214yescomplemented
249#2413C2214yescomplemented
250#2412C2214yescomplemented
251#2411C2214yescomplemented
252#2410C2214yes—
253#2407C2212yes—
254#2407C2214yescomplemented
255#2407C2212yescomplemented
256#2406C2212yescomplemented
257#2404C2212yescomplemented
258#2396C2211yescharacteristic, complemented
259#2396C2211yescharacteristic, complemented
260#2396C2211yescharacteristic, complemented
261#2396C2211yescharacteristic, complemented
262#2395C2212yes—
263#2395C2212yescomplemented
264#2395C2214yescomplemented
265#2395C2212yescomplemented
266#2395C2212yescomplemented
267#2388C2214yescomplemented
268#2388C2212yescomplemented
269#2388C2212yescomplemented
270#2367C2212yescomplemented
271#2367C2212yescomplemented
272#2366C2212yescomplemented
273#2365C2212yescomplemented
274#2363C2212yescomplemented
275#2362C2212yescomplemented
276#2361C2212yescomplemented
277#2360C2212yescomplemented
278#2357C2211yescharacteristic
279#2357C2211yescharacteristic
280#2353C2212yescomplemented
281#2353C2212yescomplemented
282#2349C2211yescharacteristic, complemented
283#2349C2211yescharacteristic, complemented
284#2345C2212yescomplemented
285#2342C2214yescomplemented
286D4×C22⋊C4C2212yes—
287#2324C2214yescomplemented
288#2322C2214yescomplemented
289#2321C2214yescomplemented
290C4×C4⋊Q8C2212yescomplemented
291C4×#124C2212yescomplemented
292C4×#121C2214yescomplemented
293C4×#121C2214yescomplemented
294#2293C2212yes—
295#2290C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C42×D4C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#559—216no—
311#559—28no—
312#559—216no—
313#556—28no—
314#556—28no—
315#555—216no—
316#554—28no—
317#553—216no—
318#553—28no—
319#553—232no—
320#552—28no—
321#551—216no—
322#551—216no—
323#550—28no—
324#550—28no—
325#547—216no—
326#547—28no—
327#546—28no—
328#546—28no—
329#546—216no—
330D42—28no—
331#542—28no—
332#540—28no—
333#539—216no—
334#538—216no—
335#538—232no—
336#535—216no—
337#533—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2311yescharacteristic
354C2×#126C2311yescharacteristic
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378#525—216no—
379#525—216no—
380#525—216no—
381C2×#123—216no—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2311yescharacteristic
388C2×#123C2312yes—
389C2×#123C2311yescharacteristic
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#120C2314yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453#520—28no—
454#520—216no—
455#518—28no—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×D4D4116yescomplemented
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2314yes—
507C2×#117C2312yes—
508C2×#117C2314yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2314yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2312yes—
520C22×C42C2314yes—
521C22×C42C2311yescharacteristic
522#400C2312yes—
523#400C2312yes—
524#400C2314yes—
525#400C2311yescharacteristic
526#400C2311yescharacteristic
527#400C2311yescharacteristic
528#400C2314yes—
529#400C2312yes—
530#400C2312yes—
531#400C2311yescharacteristic
532#399C2314yes—
533#399C2312yes—
534#399C2312yes—
535#399C2314yes—
536#399C2311yescharacteristic
537#399C2312yes—
538#399C2311yescharacteristic
539#399C2314yes—
540#399C2312yes—
541#399C2311yescharacteristic
542#399C2311yescharacteristic
543#398C2312yes—
544#398C2312yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#398C2312yes—
558#398C2314yes—
559#398C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2314yes—
582#397C2314yes—
583#397C2314yes—
584#397C2312yes—
585#397C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#395C2312yes—
595#395C2312yes—
596#395C2314yes—
597#395C2311yescharacteristic
598#395C2311yescharacteristic
599#395C2311yescharacteristic
600#395C2314yes—
601#395C2311yescharacteristic
602#394C2314yes—
603#394C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2312yes—
621#394C2314yes—
622#394C2312yes—
623#394C2314yes—
624#394C2314yes—
625#394C2312yes—
626#394C2314yes—
627#394C2314yes—
628#394C2312yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#393C2314yes—
638#393C2311yescharacteristic
639#393C2312yes—
640#393C2312yes—
641#393C2314yes—
642#393C2311yescharacteristic
643#393C2311yescharacteristic
644#393C2314yes—
645#393C2311yescharacteristic
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2314yes—
657#392C2312yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2312yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2314yes—
679#390C2314yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2314yes—
687#390C2314yes—
688#390C2314yes—
689#390C2314yes—
690#390C2314yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2314yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2314yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#389C2312yes—
709#389C2312yes—
710#389C2314yes—
711#389C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2312yes—
730#388C2312yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2312yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
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#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#384C2312yes—
791#383C2312yes—
792#382C2311yescharacteristic
793#382C2311yescharacteristic
794#382C2312yes—
795#381C2312yes—
796#381C2314yes—
797#381C2312yes—
798#381C2312yes—
799#381C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#379C2314yes—
812#379C2314yes—
813#379C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C43C2312yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—84no—
863C2×#41—84no—
864C2×#41—84no—
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×D4—28no—
873C22×D4—24no—
874C22×D4—42no—
875C22×D4—42no—
876C22×D4—42no—
877C22×D4—42no—
878C22×D4—84no—
879C22×D4C2×D418yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C23×C4—84no—
908C23×C4C2×D4116yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—44no—
935C4⋊Q8—44no—
936#127—28no—
937#127—28no—
938#127—24no—
939#127—24no—
940#127—44no—
941#126—28no—
942#126—216no—
943#126—216no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—24no—
948#126—24no—
949#125—28no—
950#125—24no—
951#125—24no—
952#125—24no—
953#125—28no—
954#124—28no—
955#124—28no—
956#124—24no—
957#124—28no—
958#124—216no—
959#124—216no—
960#124—28no—
961#124—24no—
962#124—24no—
963#124—28no—
964#124—44no—
965#124—44no—
966#124—44no—
967#123—28no—
968#123—24no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—24no—
977#123—216no—
978#123—216no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—48no—
986#123—84no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002C22⋊Q8—84no—
1003#121—216no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—24no—
1015#121—24no—
1016#121—28no—
1017#121—24no—
1018#121—28no—
1019#121—216no—
1020#121—216no—
1021#121—28no—
1022#121—48no—
1023#121—48no—
1024#121—44no—
1025#121—44no—
1026#121—48no—
1027#121—84no—
1028#121—84no—
1029#121—84no—
1030#120—216no—
1031#120—216no—
1032#120—28no—
1033#120—28no—
1034#120—28no—
1035#120—28no—
1036#120—48no—
1037#120—84no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—28no—
1041C4×Q8—24no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—44no—
1069C4×D4—44no—
1070C4×D4—84no—
1071C4×D4—84no—
1072C4×D4C2×D418yes—
1073C4×D4C2×D4116yes—
1074C4×D4C2×D418yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D4116yes—
1077C4×D4C2×D418yes—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—24no—
1083#117—216no—
1084#117—28no—
1085#117—24no—
1086#117—24no—
1087#117—28no—
1088#117—44no—
1089#117—84no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—216no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4C2×D418yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4—48no—
1160C2×C22⋊C4C2×D4116yes—
1161C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C42—84no—
1238C2×C42C2×D418yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2414yes—
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2414yes—
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—44no—
1311C24—44no—
1312C24—42no—
1313C24—42no—
1314C24—42no—
1315C24—42no—
1316C24—44no—
1317C24—44no—
1318C24C22×D418yes—
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2514yes—
1323C24C2511yescharacteristic
1324C24C2512yes—
1325C24C2512yes—
1326#41—432no—
1327#41—416no—
1328#41—816no—
1329#41—816no—
1330#41—816no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—44no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—28no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—28no—
1377C2×D4—416no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—416no—
1417C2×D4—816no—
1418C2×D4C22×D414yes—
1419C2×D4C22×D414yes—
1420C2×D4C22×D418yes—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—28no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—816no—
1465C22×C4C22×D414yes—
1466C22×C4C22×D414yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D418yes—
1469C22×C4C22×D418yes—
1470C22×C4C22×D418yes—
1471C22×C4C22×D418yes—
1472C22×C4C22×D418yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2514yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D414yes—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—22no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—28no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
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—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4C22×D418yes—
1634C22⋊C4C22×D418yes—
1635C22⋊C4C22×D418yes—
1636C22⋊C4C22×D418yes—
1637C42—24no—
1638C42—24no—
1639C42—28no—
1640C42—28no—
1641C42—24no—
1642C42—22no—
1643C42—22no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—42no—
1650C42—44no—
1651C42—44no—
1652C42—44no—
1653C42—42no—
1654C42—42no—
1655C42C22×D414yes—
1656C42C22×D414yes—
1657C42C22×D414yes—
1658C42C22×D414yes—
1659C23—22no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—24no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—24no—
1669C23—24no—
1670C23—22no—
1671C23—21no—
1672C23—22no—
1673C23—21no—
1674C23—24no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—21no—
1679C23—21no—
1680C23—22no—
1681C23—24no—
1682C23—24no—
1683C23—24no—
1684C23—24no—
1685C23—21no—
1686C23—21no—
1687C23—22no—
1688C23—24no—
1689C23—22no—
1690C23—24no—
1691C23—22no—
1692C23—24no—
1693C23—48no—
1694C23—48no—
1695C23—48no—
1696C23—48no—
1697C23—84no—
1698C23—84no—
1699C23—88no—
1700C23—88no—
1701C23—164no—
1702C23—164no—
1703C23C23×D414yes—
1704C23C23×D412yes—
1705C23C23×D414yes—
1706C23C2611yescharacteristic
1707Q8—44no—
1708Q8—44no—
1709Q8—44no—
1710Q8—48no—
1711Q8—82no—
1712Q8—84no—
1713Q8—84no—
1714D4—28no—
1715D4—28no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—44no—
1720D4—48no—
1721D4—416no—
1722D4—48no—
1723D4—44no—
1724D4—44no—
1725D4—48no—
1726D4—84no—
1727D4—82no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—88no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737D4—88no—
1738D4—88no—
1739D4—164no—
1740D4—164no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—28no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—48no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—44no—
1810C2×C4—416no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—84no—
1815C2×C4—88no—
1816C2×C4—84no—
1817C2×C4—84no—
1818C2×C4—88no—
1819C2×C4—88no—
1820C2×C4—84no—
1821C2×C4—84no—
1822C2×C4—88no—
1823C2×C4C23×D414yes—
1824C2×C4C23×D412yes—
1825C2×C4C23×D414yes—
1826C2×C4C23×D412yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D412yes—
1830C2×C4C23×D412yes—
1831C2×C4#58514yes—
1832C2×C4#58512yes—
1833C2×C4#58512yes—
1834C22—22no—
1835C22—24no—
1836C22—24no—
1837C22—22no—
1838C22—24no—
1839C22—24no—
1840C22—22no—
1841C22—24no—
1842C22—24no—
1843C22—44no—
1844C22—42no—
1845C22—44no—
1846C22—44no—
1847C22—42no—
1848C22—44no—
1849C22—42no—
1850C22—41no—
1851C22—44no—
1852C22—41no—
1853C22—44no—
1854C22—41no—
1855C22—42no—
1856C22—41no—
1857C22—44no—
1858C22—41no—
1859C22—41no—
1860C22—42no—
1861C22—42no—
1862C22—44no—
1863C22—44no—
1864C22—44no—
1865C22—42no—
1866C22—42no—
1867C22—44no—
1868C22—42no—
1869C22—44no—
1870C22—44no—
1871C22—816no—
1872C22—168no—
1873C22C24×D411yescharacteristic
1874C22C2×#58512yes—
1875C22C2×#58511yescharacteristic
1876C22C2×#58511yescharacteristic
1877C22H(7,𝔽2)12yes—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—24no—
1883C4—24no—
1884C4—22no—
1885C4—24no—
1886C4—42no—
1887C4—41no—
1888C4—42no—
1889C4—42no—
1890C4—41no—
1891C4—41no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—42no—
1896C4—41no—
1897C4—41no—
1898C4—42no—
1899C4—44no—
1900C4—44no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—44no—
1905C4#344914yes—
1906C2—44no—
1907C2—42no—
1908C2—44no—
1909C2—81no—
1910C2—84no—
1911C2—82no—
1912C2—81no—
1913C2C2×#344911yescharacteristic
1914C2#6281211yescharacteristic
1915C2#6284211yescharacteristic
1916C2#6296512yes—
1917C2#6296912yes—
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×#3513C2semidirect
2. C2×#3506C2semidirect
3. #42649C2semidirect
4. #42645C2semidirect
5. #42435C2semidirect
6. #42429C2semidirect
7. #42425C2semidirect
8. #42422C2semidirect
9. #41385C2semidirect
10. #41381C2semidirect
11. #41378C2semidirect
12. #40504C2semidirect
13. #40500C2semidirect
14. #40498C2semidirect
15. #39953C2semidirect
16. #39949C2semidirect
17. #39942C2semidirect
18. #39940C2semidirect
19. #37559C2semidirect
20. #37551C2semidirect
21. #37445C2semidirect
22. #37443C2semidirect
23. #36471C2semidirect
24. #36469C2semidirect
25. #36033C2semidirect
26. #35846C2semidirect
27. #35802C2semidirect
28. #35741C2semidirect
29. #35715C2semidirect
30. #35704C2semidirect
31. #35191C2semidirect
32. #35064C2semidirect
33. #34631C2semidirect
34. #34575C2semidirect
35. #34126C2semidirect
40. C2×#559C22semidirect
42. C2×#556C22semidirect
43. C2×#555C22semidirect
47. C2×#553C22semidirect
52. C2×#550C22semidirect
54. C2×#547C22semidirect
63. C2×#538C22semidirect
65. C2×#533C22semidirect
66. C2×#532C22semidirect
70. C2×#525C22semidirect
71. C2×#525C22semidirect
74. C2×#520C22semidirect
77. #2861C22semidirect
78. #2858C22semidirect
79. #2854C22semidirect
80. #2854C22semidirect
81. #2821C22semidirect
82. #2821C22semidirect
83. #2816C22semidirect
85. #2814C22semidirect
86. #2814C22semidirect
87. #2813C22semidirect
88. #2813C22semidirect
90. #2812C22semidirect
91. #2722C22semidirect
92. #2715C22semidirect
93. #2710C22semidirect
94. #2708C22semidirect
95. #2708C22semidirect
96. #2706C22semidirect
97. #2700C22semidirect
98. #2695C22semidirect
99. #2691C22semidirect
100. #2691C22semidirect
102. #2688C22semidirect
103. #2687C22semidirect
104. #2680C22semidirect
105. #2678C22semidirect
106. #2676C22semidirect
107. #2675C22semidirect
108. #2674C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2670C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
119. #2663C22semidirect
120. #2663C22semidirect
121. #2663C22semidirect
122. #2663C22semidirect
123. #2663C22semidirect
125. #2661C22semidirect
126. #2661C22semidirect
127. #2661C22semidirect
128. #2661C22semidirect
129. #2660C22semidirect
130. #2659C22semidirect
131. #2658C22semidirect
132. #2656C22semidirect
133. #2642C22semidirect
134. #2640C22semidirect
135. #2639C22semidirect
136. #2639C22semidirect
137. #2638C22semidirect
138. #2638C22semidirect
139. #2638C22semidirect
140. #2635C22semidirect
141. #2635C22semidirect
142. #2633C22semidirect
143. #2631C22semidirect
145. #2630C22semidirect
146. #2625C22semidirect
147. #2625C22semidirect
149. #2624C22semidirect
150. #2622C22semidirect
151. #2621C22semidirect
152. #2621C22semidirect
153. #2621C22semidirect
155. #2619C22semidirect
156. #2619C22semidirect
158. #2617C22semidirect
159. #2616C22semidirect
160. #2615C22semidirect
162. #2611C22semidirect
163. #2603C22semidirect
164. #2603C22semidirect
165. #2603C22semidirect
166. #2603C22semidirect
168. #2602C22semidirect
169. #2602C22semidirect
170. #2602C22semidirect
171. #2602C22semidirect
172. #2602C22semidirect
173. #2592C22semidirect
174. #2592C22semidirect
175. #2591C22semidirect
176. #2584C22semidirect
177. #2583C22semidirect
178. #2581C22semidirect
179. #2581C22semidirect
180. #2580C22semidirect
181. #2580C22semidirect
182. #2561C22semidirect
183. #2557C22semidirect
184. #2557C22semidirect
185. #2555C22semidirect
186. #2553C22semidirect
187. #2548C22semidirect
188. #2547C22semidirect
189. #2547C22semidirect
190. #2546C22semidirect
192. #2544C22semidirect
194. #2541C22semidirect
195. #2540C22semidirect
196. #2539C22semidirect
197. #2521C22semidirect
198. #2498C22semidirect
199. #2498C22semidirect
200. #2491C22semidirect
201. #2485C22semidirect
202. #2484C22semidirect
203. #2482C22semidirect
204. #2481C22semidirect
205. #2480C22semidirect
206. #2479C22semidirect
207. #2478C22semidirect
208. #2477C22semidirect
209. #2476C22semidirect
210. #2475C22semidirect
211. #2473C22semidirect
212. #2471C22semidirect
213. #2468C22semidirect
214. #2466C22semidirect
215. #2464C22semidirect
216. #2464C22semidirect
217. #2456C22semidirect
218. #2454C22semidirect
219. #2453C22semidirect
220. #2452C22semidirect
221. #2451C22semidirect
222. #2449C22semidirect
227. #2443C22semidirect
231. #2432C22semidirect
234. #2430C22semidirect
235. #2430C22semidirect
236. #2429C22semidirect
238. #2428C22semidirect
239. #2428C22semidirect
241. #2427C22semidirect
242. #2427C22semidirect
243. #2426C22semidirect
244. #2424C22semidirect
245. #2422C22semidirect
246. #2415C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2413C22semidirect
250. #2412C22semidirect
251. #2411C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2406C22semidirect
257. #2404C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
260. #2396C22semidirect
261. #2396C22semidirect
263. #2395C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
266. #2395C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
269. #2388C22semidirect
270. #2367C22semidirect
271. #2367C22semidirect
272. #2366C22semidirect
273. #2365C22semidirect
274. #2363C22semidirect
275. #2362C22semidirect
276. #2361C22semidirect
277. #2360C22semidirect
280. #2353C22semidirect
281. #2353C22semidirect
282. #2349C22semidirect
283. #2349C22semidirect
284. #2345C22semidirect
285. #2342C22semidirect
287. #2324C22semidirect
288. #2322C22semidirect
289. #2321C22semidirect
290. C4×C4⋊Q8C22semidirect
291. C4×#124C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C42×D4C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C22⋊C4C22semidirect
464. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
C2×#35062
#426492
#426452
#424352
#424292
#424252
#424222
#413852
#413812
#413782
#405042
#405002
#404982
#399532
#399492
#399422
#399402
#375592
#375512
#374452
#374432
#364712
#364692
#360332
#358462
#358022
#357412
#357152
#357042
#351912
#350642
#346312
#345752
#341262