Finite Group Databasebeta

← #7678060

Subgroups — #7678060

Order 512.

7417 conjugacy classes of subgroups.

The subgroup lattice has 1981 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59680C212yesmaximal, complemented
5#59658C212yesmaximal, complemented
6#59657C212yesmaximal, complemented
7#59139C212yesmaximal, complemented
8#59137C212yesmaximal, complemented
9#59058C212yesmaximal, complemented
10#59053C212yesmaximal, complemented
11#44781C214yesmaximal, complemented
12#44417C214yesmaximal, complemented
13#44253C214yesmaximal, complemented
14#44250C214yesmaximal, complemented
15#39467C212yesmaximal, complemented
16#39467C211yesmaximal, characteristic, complemented
17#39339C211yesmaximal, characteristic, complemented
18#39339C212yesmaximal, complemented
19#39132C211yesmaximal, characteristic, complemented
20#39120C211yesmaximal, characteristic, complemented
21#38047C212yesmaximal, complemented
22#38031C212yesmaximal, complemented
23#36581C211yesmaximal, characteristic, complemented
24#36546C211yesmaximal, characteristic, complemented
25#36427C211yesmaximal, characteristic, complemented
26#36426C211yesmaximal, characteristic, complemented
27#35396C212yesmaximal, complemented
28#35356C212yesmaximal, complemented
29#35102C211yesmaximal, characteristic, complemented
30#34987C212yesmaximal, complemented
31#34965C211yesmaximal, characteristic, complemented
32#34963C211yesmaximal, characteristic, complemented
33#34265C212yesmaximal, complemented
34#34239C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3515—216no—
37C2×#557C2211yescharacteristic, complemented
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#553—216no—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2212yes—
44C2×#553C2212yes—
45C2×#553C2211yescharacteristic
46C2×#553C2214yes—
47C2×#553C2214yes—
48C2×#553C2211yescharacteristic, complemented
49C2×#552C2211yescharacteristic
50C2×#552C2212yes—
51C2×#552C2212yescomplemented
52C2×#552C2211yescharacteristic, complemented
53C2×#552C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#547C2212yes—
56C2×#541C2212yescomplemented
57C2×#539C2212yes—
58C2×#539C2212yescomplemented
59C2×#535C2211yescharacteristic
60C2×#535C2212yes—
61C2×#533C2211yescharacteristic, complemented
62C2×#529C2211yescharacteristic
63C2×#529C2211yescharacteristic, complemented
64C2×#529C2211yescharacteristic, complemented
65C22×#126C2212yes—
66C22×#125C2211yescharacteristic
67C22×#125C2211yescharacteristic, complemented
68C22×#123C2212yes—
69C22×#121C2212yes—
70C22×#121C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C2×#520C2212yes—
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2212yes—
77C22×#117C2211yescharacteristic
78C23×C4⋊C4C2211yescharacteristic
79#2853C2212yes—
80#2853C2212yes—
81#2848C2211yescharacteristic
82#2848C2211yescharacteristic
83#2848C2212yes—
84#2847C2211yescharacteristic
85#2847C2211yescharacteristic
86#2847C2212yes—
87#2727C2214yescomplemented
88#2725C2214yescomplemented
89#2723C2214yescomplemented
90#2721C2214yescomplemented
91#2716C2214yescomplemented
92#2714C2214yescomplemented
93#2714C2214yescomplemented
94#2714C2214yescomplemented
95#2714C2214yescomplemented
96#2714C2214yescomplemented
97#2711C2214yescomplemented
98#2711C2214yescomplemented
99#2711C2214yescomplemented
100#2711C2214yescomplemented
101#2705C2214yescomplemented
102#2702C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2626C2212yes—
112#2623C2212yes—
113#2617C2212yes—
114#2613C2212yes—
115#2613C2212yes—
116#2613C2212yes—
117#2603C2214yescomplemented
118#2603C2214yescomplemented
119#2598C2214yescomplemented
120#2598C2212yescomplemented
121#2598C2212yescomplemented
122#2591C2212yes—
123#2583C2212yes—
124#2580C2212yescomplemented
125#2579C2212yes—
126#2579C2212yes—
127#2566C2212yescomplemented
128#2562C2212yescomplemented
129#2560C2214yescomplemented
130#2558C2214yescomplemented
131#2558C2214yescomplemented
132#2554C2214yescomplemented
133#2554C2214yescomplemented
134#2554C2214yescomplemented
135#2544C2212yescomplemented
136#2541C2212yescomplemented
137#2541C2214yescomplemented
138#2541C2212yescomplemented
139#2540C2214yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2540C2212yescomplemented
143#2536C2212yescomplemented
144#2535C2212yescomplemented
145#2535C2212yescomplemented
146#2519C2214yescomplemented
147#2512C2214yescomplemented
148#2504C2211yescharacteristic
149#2502C2211yescharacteristic
150#2491C2212yescomplemented
151#2491C2212yescomplemented
152#2491C2214yescomplemented
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2214yescomplemented
156#2487C2211yescharacteristic
157#2487C2211yescharacteristic
158#2482C2212yes—
159#2482C2212yes—
160#2482C2212yes—
161#2481C2214yescomplemented
162#2481C2214yescomplemented
163#2479C2214yescomplemented
164#2479C2214yescomplemented
165#2477C2214yescomplemented
166#2475C2214yescomplemented
167#2473C2214yescomplemented
168#2471C2214yescomplemented
169#2471C2214yescomplemented
170#2471C2214yescomplemented
171#2469C2214yescomplemented
172#2467C2214yescomplemented
173#2467C2214yescomplemented
174#2467C2214yescomplemented
175#2463C2214yescomplemented
176#2463C2214yescomplemented
177#2461C2214yescomplemented
178#2461C2214yescomplemented
179#2460C2214yescomplemented
180#2460C2214yescomplemented
181#2458C2214yescomplemented
182#2458C2214yescomplemented
183#2456C2214yescomplemented
184#2456C2214yescomplemented
185#2456C2214yescomplemented
186#2456C2214yescomplemented
187#2449C2214yescomplemented
188#2445C2214yescomplemented
189#2445C2214yescomplemented
190#2443C2214yescomplemented
191#2443C2214yescomplemented
192#2443C2214yescomplemented
193#2442C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2212yescomplemented
196#2439C2212yescomplemented
197#2435C2212yes—
198#2435C2211yescharacteristic
199#2433C2212yes—
200#2433C2211yescharacteristic
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2214yescomplemented
204#2426C2214yescomplemented
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2417C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2214yescomplemented
211#2416C2212yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2214yescomplemented
217#2411C2212yes—
218#2411C2212yes—
219#2411C2212yes—
220#2411C2212yes—
221#2411C2212yes—
222#2411C2212yes—
223#2408C2212yes—
224#2408C2212yes—
225#2408C2211yescharacteristic
226#2408C2211yescharacteristic
227#2404C2212yes—
228#2404C2212yes—
229#2404C2212yes—
230#2398C2212yescomplemented
231#2397C2212yescomplemented
232#2392C2214yescomplemented
233#2371C2214yescomplemented
234#2370C2212yescomplemented
235#2370C2212yescomplemented
236#2367C2214yescomplemented
237#2367C2214yescomplemented
238#2366C2214yescomplemented
239#2366C2214yescomplemented
240#2363C2212yescomplemented
241#2363C2214yescomplemented
242#2363C2214yescomplemented
243#2362C2212yescomplemented
244#2361C2214yescomplemented
245#2361C2214yescomplemented
246#2361C2212yescomplemented
247#2360C2212yescomplemented
248#2354C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251D4×C4⋊C4C2212yescomplemented
252#2345C2211yescharacteristic
253#2345C2211yescharacteristic
254#2344C2211yescharacteristic
255#2344C2212yes—
256#2344C2211yescharacteristic
257#2344C2212yes—
258#2336C2214yescomplemented
259#2328C2212yescomplemented
260#2326C2212yescomplemented
261#2324C2212yescomplemented
262#2324C2212yescomplemented
263#2321C2211yescharacteristic
264#2321C2212yes—
265#2321C2212yes—
266#2321C2211yescharacteristic
267#2321C2211yescharacteristic
268#2321C2211yescharacteristic
269#2321C2212yes—
270#2321C2212yes—
271#2317C2211yescharacteristic
272#2313C2212yes—
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275#2309C2212yes—
276C4×#127C2212yescomplemented
277C4×#127C2212yescomplemented
278C4×#125C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#124C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#120C2212yes—
287C4×#120C2212yes—
288C4×#120C2211yescharacteristic
289C4×#120C2211yescharacteristic
290C4×#120C2211yescharacteristic
291C4×#120C2211yescharacteristic
292C4×#120C2212yes—
293C4×#120C2212yes—
294C4×#120C2212yes—
295C4×#120C2212yes—
296#2297C2212yes—
297#2296C2212yes—
298#2283C2211yescharacteristic
299#2274C2212yes—
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2311yescharacteristic
306C23×D4C2312yes—
307C24×C4C2311yescharacteristic
308C24×C4C2311yescharacteristic
309C24×C4C2312yes—
310C24×C4C2312yes—
311#557—28no—
312#554—28no—
313#554—28no—
314#553—216no—
315#553—216no—
316#553—232no—
317#553—232no—
318#553—216no—
319#553—216no—
320#553—28no—
321#553—28no—
322#552—216no—
323#552—28no—
324#552—216no—
325#552—28no—
326#552—216no—
327#547—28no—
328#547—216no—
329#541—216no—
330#539—216no—
331#539—216no—
332#535—28no—
333#535—216no—
334#533—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×#127C2312yes—
339C2×#127C2314yes—
340C2×#127C2312yes—
341C2×#127C2314yes—
342#529—28no—
343#529—28no—
344#529—28no—
345C2×#126—216no—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#125—28no—
358C2×#125D4116yescomplemented
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#123—216no—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×#121—216no—
409C2×#121—28no—
410C2×#121—28no—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#120C2312yes—
438C2×#120C2311yescharacteristic
439C2×#120C2311yescharacteristic
440C2×#120C2312yes—
441C2×#120C2311yescharacteristic
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2311yescharacteristic
447#520—216no—
448C4×#41—28no—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×D4—216no—
458C2×C4×D4—28no—
459C2×C4×D4—28no—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2314yes—
497C2×#117—28no—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2314yes—
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C22×C4⋊C4—28no—
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2312yes—
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2314yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2311yescharacteristic
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2311yescharacteristic
531C22×C22⋊C4C2311yescharacteristic
532C22×C22⋊C4C2311yescharacteristic
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541#400C2314yes—
542#400C2314yes—
543#400C2312yes—
544#400C2312yes—
545#399C2314yes—
546#399C2314yes—
547#399C2312yes—
548#399C2312yes—
549#399C2314yes—
550#399C2314yes—
551#399C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#395C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#392C2314yes—
601#392C2312yes—
602#392C2312yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#386C2314yes—
720#386C2311yescharacteristic
721#386C2311yescharacteristic
722#386C2311yescharacteristic
723#386C2311yescharacteristic
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2311yescharacteristic
760#385C2311yescharacteristic
761#385C2311yescharacteristic
762#385C2311yescharacteristic
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#384C2312yes—
784#384C2312yes—
785#383C2312yes—
786#382C2312yes—
787#382C2312yes—
788#382C2312yes—
789#381C2312yes—
790#381C2312yes—
791#381C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2314yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#379C2311yescharacteristic
807#379C2312yes—
808#379C2311yescharacteristic
809#379C2312yes—
810#379C2311yescharacteristic
811#379C2312yes—
812#379C2311yescharacteristic
813#379C2312yes—
814#379C2312yes—
815#379C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850#376C2312yes—
851#376C2312yes—
852C43C2312yes—
853C25C2411yescharacteristic
854C25C2412yes—
855C25C2411yescharacteristic
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—42no—
861C2×#41—44no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×D4—24no—
867C22×D4—28no—
868C22×D4—28no—
869C22×D4—24no—
870C22×D4—24no—
871C22×D4—28no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—42no—
875C22×D4—84no—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—28no—
904C23×C4—28no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4—84no—
908C23×C4—84no—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939#127—28no—
940#127—216no—
941#127—44no—
942#127—84no—
943#126—216no—
944#126—216no—
945#126—216no—
946#126—216no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#125—28no—
955#125—28no—
956#125—24no—
957#125—24no—
958#125—28no—
959#125—28no—
960#125—28no—
961#125—28no—
962#125—28no—
963#125—24no—
964#125C2×D418yes—
965#125C2×D418yes—
966#125C2×D4116yes—
967#125C2×D4116yes—
968#125C2×D418yes—
969#125C2×D418yes—
970#124—28no—
971#124—216no—
972#124—24no—
973#124—44no—
974#124—84no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—84no—
1002#121—28no—
1003#121—216no—
1004#121—24no—
1005#121—28no—
1006#121—216no—
1007#121—216no—
1008#121—216no—
1009#121—216no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—24no—
1017#121—24no—
1018#121—28no—
1019#121—28no—
1020#121—216no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—84no—
1026#121—84no—
1027#121—84no—
1028#120—28no—
1029#120—24no—
1030#120—24no—
1031#120—28no—
1032#120—24no—
1033#120—28no—
1034#120—44no—
1035#120—44no—
1036#120—44no—
1037#120#4118yes—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—216no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—44no—
1076C4×D4—44no—
1077C4×D4—84no—
1078C4×D4—84no—
1079C4×D4—84no—
1080C4×D4—84no—
1081C4×D4—84no—
1082C4×D4—84no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—216no—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—24no—
1092#117—24no—
1093#117—24no—
1094#117—28no—
1095#117—24no—
1096#117—24no—
1097#117—28no—
1098#117—42no—
1099#117—44no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—24no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—216no—
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4C2×D418yes—
1112C2×C4⋊C4C2×D418yes—
1113C2×C4⋊C4C2×D4116yes—
1114C2×C4⋊C4C2×D4116yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C22⋊C4—28no—
1178C2×C22⋊C4—24no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—24no—
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2412yes—
1260C2×C42—28no—
1261C2×C42—24no—
1262C2×C42—24no—
1263C2×C42C2×D418yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2414yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2414yes—
1287C2×C42C2414yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—22no—
1330C24—22no—
1331C24—22no—
1332C24—24no—
1333C24—22no—
1334C24—24no—
1335C24—24no—
1336C24—22no—
1337C24—42no—
1338C24—42no—
1339C24—42no—
1340C24—44no—
1341C24—44no—
1342C24—42no—
1343C24C2×#4114yes—
1344C24C2512yes—
1345C24C2514yes—
1346C24C2511yescharacteristic
1347C24C2512yes—
1348C24C2512yes—
1349C24C2511yescharacteristic
1350C24C2511yescharacteristic
1351#41—416no—
1352#41—432no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—24no—
1360C2×Q8—41no—
1361C2×Q8—42no—
1362C2×Q8—44no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—22no—
1382C2×D4—28no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—41no—
1406C2×D4—42no—
1407C2×D4—432no—
1408C2×D4—416no—
1409C2×D4—416no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—816no—
1437C2×D4C2×#4114yes—
1438C2×D4C2×#4118yes—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—28no—
1471C22×C4—28no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—28no—
1475C22×C4—28no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—416no—
1503C22×C4—416no—
1504C22×C4—816no—
1505C22×C4—816no—
1506C22×C4C22×D418yes—
1507C22×C4C22×D414yes—
1508C22×C4C22×D414yes—
1509C22×C4C22×D414yes—
1510C22×C4C22×D418yes—
1511C22×C4C2512yes—
1512C22×C4C2514yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2514yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—42no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D418yes—
1590C4⋊C4C22×D414yes—
1591C4⋊C4C22×D418yes—
1592C4⋊C4C22×D418yes—
1593C4⋊C4C22×D418yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D418yes—
1596C4⋊C4C22×D418yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D418yes—
1599C4⋊C4C22×D418yes—
1600C4⋊C4C22×D418yes—
1601C22⋊C4—22no—
1602C22⋊C4—24no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—22no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—22no—
1628C22⋊C4—22no—
1629C22⋊C4—22no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—28no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4C2×#4114yes—
1677C22⋊C4C2×#4118yes—
1678C42—22no—
1679C42—28no—
1680C42—28no—
1681C42—22no—
1682C42—22no—
1683C42—22no—
1684C42—22no—
1685C42—22no—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—28no—
1693C42—24no—
1694C42—24no—
1695C42—44no—
1696C42—42no—
1697C42—42no—
1698C42—44no—
1699C42—42no—
1700C42—44no—
1701C42—44no—
1702C42C22×D414yes—
1703C42C22×D414yes—
1704C42C22×D414yes—
1705C42C22×D414yes—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—28no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—24no—
1723C23—22no—
1724C23—24no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—24no—
1730C23—24no—
1731C23—24no—
1732C23—24no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—24no—
1739C23—24no—
1740C23—24no—
1741C23—22no—
1742C23—22no—
1743C23—48no—
1744C23—44no—
1745C23—44no—
1746C23—48no—
1747C23—44no—
1748C23—48no—
1749C23—48no—
1750C23—44no—
1751C23—44no—
1752C23—48no—
1753C23—84no—
1754C23—88no—
1755C23—88no—
1756C23—84no—
1757C23C23×D412yes—
1758C23C22×#4114yes—
1759C23C22×#4112yes—
1760C23C22×#4112yes—
1761C23#58512yes—
1762C23C2611yescharacteristic
1763Q8—44no—
1764Q8—48no—
1765Q8—44no—
1766Q8—84no—
1767D4—28no—
1768D4—48no—
1769D4—416no—
1770D4—48no—
1771D4—48no—
1772D4—416no—
1773D4—44no—
1774D4—48no—
1775D4—48no—
1776D4—44no—
1777D4—48no—
1778D4—44no—
1779D4—48no—
1780D4—84no—
1781D4—88no—
1782D4—84no—
1783D4—88no—
1784D4—88no—
1785D4—84no—
1786D4—88no—
1787D4—84no—
1788D4—88no—
1789D4—88no—
1790D4—88no—
1791D4—164no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—216no—
1810C2×C4—28no—
1811C2×C4—28no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—44no—
1857C2×C4—48no—
1858C2×C4—44no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—48no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—48no—
1868C2×C4—48no—
1869C2×C4—82no—
1870C2×C4—84no—
1871C2×C4—82no—
1872C2×C4—84no—
1873C2×C4—84no—
1874C2×C4—88no—
1875C2×C4—88no—
1876C2×C4—88no—
1877C2×C4—88no—
1878C2×C4C23×D414yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D414yes—
1883C2×C4C23×D414yes—
1884C2×C4C23×D414yes—
1885C2×C4C23×D412yes—
1886C2×C4C23×D412yes—
1887C2×C4C23×D412yes—
1888C2×C4C22×#4114yes—
1889C2×C4C22×#4112yes—
1890C2×C4#58514yes—
1891C22—24no—
1892C22—22no—
1893C22—22no—
1894C22—24no—
1895C22—24no—
1896C22—24no—
1897C22—24no—
1898C22—22no—
1899C22—24no—
1900C22—416no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—44no—
1910C22—42no—
1911C22—44no—
1912C22—44no—
1913C22—42no—
1914C22—42no—
1915C22—41no—
1916C22—44no—
1917C22—42no—
1918C22—44no—
1919C22—42no—
1920C22—41no—
1921C22—42no—
1922C22—42no—
1923C22—44no—
1924C22—44no—
1925C22—44no—
1926C22—42no—
1927C22—42no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—44no—
1932C22—88no—
1933C22—816no—
1934C22D4×#4114yes—
1935C22C24×D411yescharacteristic
1936C22C23×#4111yescharacteristic
1937C22C2×#58512yes—
1938C22C2×#58511yescharacteristic
1939C22H(7,𝔽2)12yes—
1940C4—24no—
1941C4—22no—
1942C4—22no—
1943C4—22no—
1944C4—24no—
1945C4—24no—
1946C4—24no—
1947C4—22no—
1948C4—22no—
1949C4—24no—
1950C4—22no—
1951C4—42no—
1952C4—44no—
1953C4—41no—
1954C4—41no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—44no—
1959C4—41no—
1960C4—42no—
1961C4—41no—
1962C4—42no—
1963C4—42no—
1964C4—44no—
1965C4—41no—
1966C4—42no—
1967C4#348714yes—
1968C2—24no—
1969C2—42no—
1970C2—44no—
1971C2—81no—
1972C2—82no—
1973C2—82no—
1974C2—84no—
1975C2C2×D4×#4111yescharacteristic
1976C2C2×#348711yescharacteristic
1977C2#6285211yescharacteristic
1978C2#6293512yes—
1979C2#6299212yes—
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×#3515C2semidirect
2. C22×#553C2semidirect
3. #59824C2semidirect
4. #59680C2semidirect
5. #59658C2semidirect
6. #59657C2semidirect
7. #59139C2semidirect
8. #59137C2semidirect
9. #59058C2semidirect
10. #59053C2semidirect
11. #44781C2semidirect
12. #44417C2semidirect
13. #44253C2semidirect
14. #44250C2semidirect
15. #39467C2semidirect
16. #39467C2semidirect
17. #39339C2semidirect
18. #39339C2semidirect
19. #39132C2semidirect
20. #39120C2semidirect
21. #38047C2semidirect
22. #38031C2semidirect
23. #36581C2semidirect
24. #36546C2semidirect
25. #36427C2semidirect
26. #36426C2semidirect
27. #35396C2semidirect
28. #35356C2semidirect
29. #35102C2semidirect
30. #34987C2semidirect
31. #34965C2semidirect
32. #34963C2semidirect
33. #34265C2semidirect
34. #34239C2semidirect
35. C4×#535C2semidirect
37. C2×#557C22semidirect
39. C2×#554C22semidirect
48. C2×#553C22semidirect
51. C2×#552C22semidirect
52. C2×#552C22semidirect
53. C2×#552C22semidirect
56. C2×#541C22semidirect
58. C2×#539C22semidirect
61. C2×#533C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
67. C22×#125C22semidirect
87. #2727C22semidirect
88. #2725C22semidirect
89. #2723C22semidirect
90. #2721C22semidirect
91. #2716C22semidirect
92. #2714C22semidirect
93. #2714C22semidirect
94. #2714C22semidirect
95. #2714C22semidirect
96. #2714C22semidirect
97. #2711C22semidirect
98. #2711C22semidirect
99. #2711C22semidirect
100. #2711C22semidirect
101. #2705C22semidirect
102. #2702C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
117. #2603C22semidirect
118. #2603C22semidirect
119. #2598C22semidirect
120. #2598C22semidirect
121. #2598C22semidirect
124. #2580C22semidirect
127. #2566C22semidirect
128. #2562C22semidirect
129. #2560C22semidirect
130. #2558C22semidirect
131. #2558C22semidirect
132. #2554C22semidirect
133. #2554C22semidirect
134. #2554C22semidirect
135. #2544C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2540C22semidirect
143. #2536C22semidirect
144. #2535C22semidirect
145. #2535C22semidirect
146. #2519C22semidirect
147. #2512C22semidirect
150. #2491C22semidirect
151. #2491C22semidirect
152. #2491C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
161. #2481C22semidirect
162. #2481C22semidirect
163. #2479C22semidirect
164. #2479C22semidirect
165. #2477C22semidirect
166. #2475C22semidirect
167. #2473C22semidirect
168. #2471C22semidirect
169. #2471C22semidirect
170. #2471C22semidirect
171. #2469C22semidirect
172. #2467C22semidirect
173. #2467C22semidirect
174. #2467C22semidirect
175. #2463C22semidirect
176. #2463C22semidirect
177. #2461C22semidirect
178. #2461C22semidirect
179. #2460C22semidirect
180. #2460C22semidirect
181. #2458C22semidirect
182. #2458C22semidirect
183. #2456C22semidirect
184. #2456C22semidirect
185. #2456C22semidirect
186. #2456C22semidirect
187. #2449C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2443C22semidirect
191. #2443C22semidirect
192. #2443C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
195. #2440C22semidirect
196. #2439C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
230. #2398C22semidirect
231. #2397C22semidirect
232. #2392C22semidirect
233. #2371C22semidirect
234. #2370C22semidirect
235. #2370C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2360C22semidirect
248. #2354C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. D4×C4⋊C4C22semidirect
258. #2336C22semidirect
259. #2328C22semidirect
260. #2326C22semidirect
261. #2324C22semidirect
262. #2324C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#125C22semidirect
279. C4×#125C22semidirect
280. C4×#124C22semidirect
281. C4×#124C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
358. C2×#125D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
C22×#5532
#598242
#596802
#596582
#596572
#591392
#591372
#590582
#590532
#447812
#444172
#442532
#442502
#394672
#393392
#391322
#391202
#380472
#380312
#365812
#365462
#364272
#364262
#353962
#353562
#351022
#349872
#349652
#349632
#342652
#342392
C4×#5352