Finite Group Databasebeta

← #7665668

Subgroups — #7665668

Order 512.

7469 conjugacy classes of subgroups.

The subgroup lattice has 1996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3475C211yesmaximal, characteristic, complemented
2C22×#555C211yesmaximal, characteristic, complemented
3#39963C212yesmaximal, complemented
4#39958C212yesmaximal, complemented
5#39891C212yesmaximal, complemented
6#39886C212yesmaximal, complemented
7#39720C211yesmaximal, characteristic, complemented
8#39592C211yesmaximal, characteristic, complemented
9#39132C211yesmaximal, characteristic, complemented
10#39120C211yesmaximal, characteristic, complemented
11#38439C214yesmaximal, complemented
12#38437C214yesmaximal, complemented
13#38385C214yesmaximal, complemented
14#38381C214yesmaximal, complemented
15#38044C212yesmaximal, complemented
16#38028C212yesmaximal, complemented
17#37840C212yesmaximal, complemented
18#37652C212yesmaximal, complemented
19#36427C211yesmaximal, characteristic, complemented
20#36426C211yesmaximal, characteristic, complemented
21#36273C212yesmaximal, complemented
22#36269C212yesmaximal, complemented
23#36235C212yesmaximal, complemented
24#36231C212yesmaximal, complemented
25#36162C211yesmaximal, characteristic, complemented
26#36102C211yesmaximal, characteristic, complemented
27#35131C212yesmaximal, complemented
28#35129C212yesmaximal, complemented
29#35118C212yesmaximal, complemented
30#35078C211yesmaximal, characteristic, complemented
31#35076C211yesmaximal, characteristic, complemented
32#35031C211yesmaximal, characteristic, complemented
33#34109C211yesmaximal, characteristic, complemented
34C4×#534C211yesmaximal, characteristic, complemented
35#34065C212yesmaximal, complemented
36#3475—216no—
37C2×#556C2211yescharacteristic, complemented
38C2×#555—216no—
39C2×#555C2214yes—
40C2×#555C2212yes—
41C2×#555C2212yes—
42C2×#555C2212yescomplemented
43C2×#555C2212yescomplemented
44C2×#555C2211yescharacteristic, complemented
45C2×#555C2214yescomplemented
46C2×#554C2211yescharacteristic
47C2×#553C2211yescharacteristic
48C2×#553C2211yescharacteristic, complemented
49C2×#552C2211yescharacteristic
50C2×#552C2212yescomplemented
51C2×#552C2211yescharacteristic, complemented
52C2×#551C2212yes—
53C2×#551C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#534C2211yescharacteristic
57C2×#533C2211yescharacteristic, complemented
58C22×C4⋊Q8C2211yescharacteristic, complemented
59C2×#529C2212yes—
60C2×#529C2212yescomplemented
61C2×#529C2212yescomplemented
62C22×#124C2212yes—
63C22×#124C2212yescomplemented
64C2×#525C2211yescharacteristic
65C2×#525C2212yes—
66C2×#525C2211yescharacteristic, complemented
67C22×#121C2211yescharacteristic
68C22×#121C2212yes—
69C22×#121C2211yescharacteristic, complemented
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic, complemented
75C22×#117C2211yescharacteristic
76C22×#117C2212yescomplemented
77C22×#117C2211yescharacteristic, complemented
78C22×#117C2211yescharacteristic, complemented
79#2861C2214yescomplemented
80#2858C2214yescomplemented
81#2856C2212yescomplemented
82#2855C2211yescharacteristic, complemented
83#2854C2212yescomplemented
84#2854C2211yescharacteristic, complemented
85#2853C2212yes—
86#2853C2212yescomplemented
87#2850C2212yescomplemented
88#2850C2214yescomplemented
89#2850C2214yescomplemented
90#2849C2212yes—
91#2849C2212yescomplemented
92#2848C2211yescharacteristic, complemented
93#2847C2212yescomplemented
94#2847C2211yescharacteristic, complemented
95#2716C2214yescomplemented
96#2715C2214yescomplemented
97#2714C2214yescomplemented
98#2713C2214yescomplemented
99#2712C2214yescomplemented
100#2711C2214yescomplemented
101#2710C2214yescomplemented
102#2703C2214yescomplemented
103#2700C2214yescomplemented
104#2691C2214yescomplemented
105#2681C2214yescomplemented
106#2677C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2676C2214yescomplemented
110#2675C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2673C2214yescomplemented
114#2672C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2670C2214yescomplemented
118#2669C2214yescomplemented
119#2662C2214yescomplemented
120#2662C2214yescomplemented
121#2661C2214yescomplemented
122#2635C2212yescomplemented
123#2635C2212yescomplemented
124#2632C2214yescomplemented
125#2631C2214yescomplemented
126#2627C2212yescomplemented
127#2626C2212yescomplemented
128#2622C2212yes—
129#2618C2212yes—
130#2617C2212yes—
131#2613C2212yes—
132#2611C2214yescomplemented
133#2610C2214yescomplemented
134#2610C2214yescomplemented
135#2610C2214yescomplemented
136#2610C2214yescomplemented
137#2610C2214yescomplemented
138#2609C2214yescomplemented
139#2609C2214yescomplemented
140#2602C2214yescomplemented
141#2601C2214yescomplemented
142#2601C2214yescomplemented
143#2600C2214yescomplemented
144#2599C2214yescomplemented
145#2598C2214yescomplemented
146#2592C2214yescomplemented
147#2591C2212yescomplemented
148#2559C2214yescomplemented
149#2557C2214yescomplemented
150#2555C2214yescomplemented
151#2555C2214yescomplemented
152#2551C2212yescomplemented
153#2550C2212yescomplemented
154#2545C2214yescomplemented
155#2544C2214yescomplemented
156#2543C2214yescomplemented
157#2541C2212yescomplemented
158#2540C2214yescomplemented
159#2540C2212yescomplemented
160#2539C2212yescomplemented
161#2521C2214yescomplemented
162#2504C2211yescharacteristic, complemented
163#2502C2211yescharacteristic, complemented
164#2500C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2214yescomplemented
168#2491C2212yescomplemented
169#2490C2212yescomplemented
170#2487C2211yescharacteristic
171#2487C2211yescharacteristic
172#2485C2212yescomplemented
173#2482C2212yescomplemented
174#2482C2212yescomplemented
175#2479C2214yescomplemented
176#2477C2214yescomplemented
177#2476C2214yescomplemented
178#2475C2214yescomplemented
179#2474C2214yescomplemented
180#2472C2214yescomplemented
181#2471C2214yescomplemented
182#2467C2214yescomplemented
183#2464C2214yescomplemented
184#2464C2214yescomplemented
185#2463C2214yescomplemented
186#2461C2214yescomplemented
187#2460C2214yescomplemented
188#2459C2214yescomplemented
189#2456C2214yescomplemented
190#2456C2214yescomplemented
191#2454C2212yescomplemented
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2451C2212yescomplemented
195#2441C2212yescomplemented
196#2440C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2436C2212yes—
200#2435C2211yescharacteristic, complemented
201#2435C2212yescomplemented
202#2434C2212yescomplemented
203#2433C2212yes—
204#2433C2211yescharacteristic, complemented
205#2431C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2214yescomplemented
208#2428C2212yescomplemented
209#2427C2212yescomplemented
210#2426C2212yescomplemented
211#2424C2214yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2415C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2411C2212yes—
221#2411C2212yes—
222#2411C2212yescomplemented
223#2411C2212yescomplemented
224#2410C2212yes—
225#2410C2212yes—
226#2409C2212yes—
227#2409C2212yescomplemented
228#2408C2211yescharacteristic
229#2408C2211yescharacteristic
230#2408C2212yes—
231#2408C2212yescomplemented
232#2407C2212yescomplemented
233#2405C2212yes—
234#2404C2212yes—
235#2404C2212yes—
236#2403C2212yes—
237#2367C2212yescomplemented
238#2366C2212yescomplemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2361C2212yescomplemented
243#2354C2212yescomplemented
244#2352C2212yescomplemented
245#2347C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2211yescharacteristic, complemented
248#2345C2211yescharacteristic, complemented
249#2344C2211yescharacteristic, complemented
250#2344C2211yescharacteristic, complemented
251#2343C2214yescomplemented
252#2342C2212yes—
253#2342C2212yes—
254#2325C2212yescomplemented
255#2325C2212yescomplemented
256#2324C2214yescomplemented
257#2324C2214yescomplemented
258#2323C2214yescomplemented
259#2323C2214yescomplemented
260#2322C2211yescharacteristic
261#2322C2212yes—
262#2322C2211yescharacteristic
263#2322C2212yescomplemented
264#2322C2212yescomplemented
265#2322C2212yescomplemented
266#2321C2212yes—
267#2321C2212yes—
268#2321C2212yes—
269#2321C2211yescharacteristic
270#2321C2211yescharacteristic
271#2321C2212yescomplemented
272#2321C2212yescomplemented
273#2321C2212yescomplemented
274#2321C2212yescomplemented
275#2321C2212yescomplemented
276#2315C2211yescharacteristic
277#2308C2211yescharacteristic
278#2308C2211yescharacteristic
279C4×#123C2211yescharacteristic
280C4×#123C2211yescharacteristic
281C4×#123C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#120C2211yescharacteristic
285C4×#120C2211yescharacteristic
286C4×#120C2212yescomplemented
287#2298C2214yescomplemented
288#2297C2212yes—
289#2296C2212yescomplemented
290#2296C2212yescomplemented
291#2293C2214yescomplemented
292#2293C2214yescomplemented
293#2290C2214yescomplemented
294#2290C2214yescomplemented
295#2283C2212yescomplemented
296#2280C2211yescharacteristic
297#2280C2212yescomplemented
298C4×#117C2212yescomplemented
299C4×#117C2212yescomplemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2312yes—
304C23×D4C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C24×C4C2312yes—
310C24×C4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313#556—28no—
314#555—216no—
315#555—216no—
316#555—232no—
317#555—232no—
318#555—216no—
319#555—216no—
320#555—28no—
321#554—28no—
322#553—28no—
323#553—28no—
324#552—216no—
325#552—28no—
326#552—28no—
327#551—216no—
328#551—216no—
329#547—28no—
330#546—216no—
331#534—28no—
332#533—28no—
333C2×C4⋊Q8—28no—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2314yes—
340C2×#127C2312yes—
341C2×#127C2314yes—
342#529—216no—
343#529—216no—
344#529—216no—
345C2×#126C2312yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2311yescharacteristic
356C2×#124—216no—
357C2×#124—216no—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372#525—28no—
373#525—216no—
374#525—28no—
375C2×#123C2311yescharacteristic
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2311yescharacteristic
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×#121—28no—
402C2×#121—28no—
403C2×#121—216no—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#120C2312yes—
433C2×#120C2311yescharacteristic
434C2×#120C2311yescharacteristic
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442C2×#120C2314yes—
443C4×#41—28no—
444C4×#41—216no—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4—28no—
451C2×C4×D4—28no—
452C2×C4×D4—28no—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×#117—28no—
484C2×#117—28no—
485C2×#117—216no—
486C2×#117D4116yescomplemented
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2314yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C22⋊C4C2311yescharacteristic
521C22×C22⋊C4C2311yescharacteristic
522C22×C22⋊C4C2311yescharacteristic
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2311yescharacteristic
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2311yescharacteristic
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2311yescharacteristic
531C22×C22⋊C4C2312yes—
532C22×C42C2312yes—
533C22×C42C2312yes—
534C22×C42C2312yes—
535C22×C42C2311yescharacteristic
536C22×C42C2311yescharacteristic
537C22×C42C2312yes—
538C22×C42C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2314yes—
542#399C2314yes—
543#399C2314yes—
544#399C2314yes—
545#399C2312yes—
546#399C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
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#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2312yes—
611#392C2312yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#391C2314yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2314yes—
621#391C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
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#388C2314yes—
702#388C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2312yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#386C2311yescharacteristic
720#386C2311yescharacteristic
721#386C2311yescharacteristic
722#386C2312yes—
723#386C2311yescharacteristic
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
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#385C2311yescharacteristic
760#385C2311yescharacteristic
761#385C2311yescharacteristic
762#385C2312yes—
763#385C2311yescharacteristic
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#384C2312yes—
786#383C2314yes—
787#382C2314yes—
788#382C2312yes—
789#381C2311yescharacteristic
790#381C2311yescharacteristic
791#381C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2312yes—
795#381C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#379C2311yescharacteristic
810#379C2311yescharacteristic
811#379C2312yes—
812#379C2312yes—
813#379C2312yes—
814#379C2312yes—
815#379C2312yes—
816#379C2312yes—
817#379C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2314yes—
850#376C2314yes—
851C2×#95C2312yes—
852C43C2314yes—
853C25C2412yes—
854C25C2411yescharacteristic
855C25C2411yescharacteristic
856C25C2411yescharacteristic
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—44no—
861C2×#41—44no—
862C22×Q8—28no—
863C22×Q8—84no—
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×Q8C2414yes—
869C22×D4—24no—
870C22×D4—24no—
871C22×D4—28no—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—44no—
877C22×D4—42no—
878C22×D4—42no—
879C22×D4—84no—
880C22×D4—84no—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C23×C4—28no—
907C23×C4—24no—
908C23×C4—24no—
909C23×C4—28no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4—44no—
913C23×C4—44no—
914C23×C4C2×D418yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—216no—
948C4⋊Q8—24no—
949C4⋊Q8—24no—
950C4⋊Q8—84no—
951#127—44no—
952#127—84no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#125—28no—
960#125—28no—
961#125—24no—
962#125—24no—
963#125—28no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—216no—
968#124—28no—
969#124—28no—
970#124—216no—
971#124—216no—
972#124—216no—
973#124—216no—
974#124—28no—
975#124—44no—
976#124—84no—
977#124—84no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—24no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—84no—
990#123#4118yescomplemented
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—44no—
1002C22⋊Q8—84no—
1003C22⋊Q8—84no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—24no—
1009#121—24no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—216no—
1014#121—24no—
1015#121—24no—
1016#121—28no—
1017#121—216no—
1018#121—216no—
1019#121—216no—
1020#121—216no—
1021#121—28no—
1022#121—28no—
1023#121—216no—
1024#121—28no—
1025#121—44no—
1026#121—44no—
1027#121—44no—
1028#121—84no—
1029#121—84no—
1030#121—84no—
1031#121—84no—
1032#120—28no—
1033#120—28no—
1034#120—24no—
1035#120—28no—
1036#120—28no—
1037#120—28no—
1038#120—24no—
1039#120—44no—
1040#120—44no—
1041#120—44no—
1042#120—84no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—28no—
1046C4×Q8—28no—
1047C4×Q8—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—24no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—216no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—216no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—44no—
1077C4×D4—44no—
1078#117—24no—
1079#117—28no—
1080#117—24no—
1081#117—24no—
1082#117—28no—
1083#117—28no—
1084#117—216no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—216no—
1089#117—216no—
1090#117—216no—
1091#117—216no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—44no—
1096#117—44no—
1097#117C2×D418yes—
1098#117C2×D418yes—
1099#117C2×D4116yes—
1100#117C2×D4116yes—
1101#117C2×D418yes—
1102#117C2×D418yes—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—24no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4C2×D418yes—
1110C2×C4⋊C4C2×D418yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—24no—
1163C2×C22⋊C4—24no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—24no—
1169C2×C22⋊C4—24no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—24no—
1172C2×C22⋊C4—42no—
1173C2×C22⋊C4C2×D4116yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2411yescharacteristic
1254C2×C22⋊C4C2412yes—
1255C2×C42—28no—
1256C2×C42—24no—
1257C2×C42—24no—
1258C2×C42—28no—
1259C2×C42—28no—
1260C2×C42—44no—
1261C2×C42C2×D4116yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2414yes—
1279C2×C42C2414yes—
1280C2×C42C2414yes—
1281C2×C42C2414yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
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—22no—
1336C24—22no—
1337C24—24no—
1338C24—22no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24—44no—
1343C24—41no—
1344C24—42no—
1345C24—42no—
1346C24—44no—
1347C24—42no—
1348C24C22×D414yes—
1349C24C2511yescharacteristic
1350C24C2514yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2511yescharacteristic
1354C24C2511yescharacteristic
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357#41—432no—
1358#41—416no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—24no—
1362C2×Q8—28no—
1363C2×Q8—28no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—42no—
1367C2×Q8—44no—
1368C2×Q8—44no—
1369C2×Q8—44no—
1370C2×Q8—44no—
1371C2×Q8—44no—
1372C2×Q8—816no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—22no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—28no—
1399C2×D4—28no—
1400C2×D4—24no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—28no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—416no—
1416C2×D4—416no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—416no—
1445C2×D4—816no—
1446C2×D4—816no—
1447C2×D4C2×#4114yes—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—28no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—28no—
1474C22×C4—24no—
1475C22×C4—28no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—416no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—41no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—432no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—42no—
1512C22×C4—416no—
1513C22×C4—416no—
1514C22×C4C22×D418yes—
1515C22×C4C22×D414yes—
1516C22×C4C22×D414yes—
1517C22×C4C22×D414yes—
1518C22×C4C22×D414yes—
1519C22×C4C22×D418yes—
1520C22×C4C22×D414yes—
1521C22×C4C22×D414yes—
1522C22×C4C2×#4114yes—
1523C22×C4C2512yes—
1524C22×C4C2514yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2514yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2514yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2511yescharacteristic
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—28no—
1554C4⋊C4—28no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—28no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—42no—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D418yes—
1600C4⋊C4C2×#4118yes—
1601C22⋊C4—22no—
1602C22⋊C4—24no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—24no—
1615C22⋊C4—22no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—22no—
1625C22⋊C4—22no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—22no—
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—28no—
1642C22⋊C4—28no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
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—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C22×D418yes—
1678C22⋊C4C22×D418yes—
1679C22⋊C4C22×D418yes—
1680C22⋊C4C2×#4114yes—
1681C22⋊C4C2×#4118yes—
1682C42—22no—
1683C42—28no—
1684C42—28no—
1685C42—24no—
1686C42—22no—
1687C42—24no—
1688C42—24no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—22no—
1693C42—22no—
1694C42—24no—
1695C42—28no—
1696C42—24no—
1697C42—24no—
1698C42—42no—
1699C42—42no—
1700C42—44no—
1701C42—44no—
1702C42—44no—
1703C42—44no—
1704C42C22×D418yes—
1705C42C22×D418yes—
1706C42C22×D418yes—
1707C42C22×D418yes—
1708C23—22no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—28no—
1723C23—21no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—21no—
1730C23—22no—
1731C23—22no—
1732C23—24no—
1733C23—24no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—24no—
1738C23—24no—
1739C23—22no—
1740C23—21no—
1741C23—24no—
1742C23—22no—
1743C23—22no—
1744C23—24no—
1745C23—24no—
1746C23—22no—
1747C23—44no—
1748C23—44no—
1749C23—44no—
1750C23—44no—
1751C23—44no—
1752C23—48no—
1753C23—44no—
1754C23—48no—
1755C23—48no—
1756C23—44no—
1757C23—84no—
1758C23—88no—
1759C23—84no—
1760C23—84no—
1761C23—84no—
1762C23—88no—
1763C23—84no—
1764C23—82no—
1765C23—84no—
1766C23C23×D412yes—
1767C23C23×D412yes—
1768C23C23×D412yes—
1769C23C22×#4112yes—
1770C23C22×#4112yes—
1771C23#58512yes—
1772C23C2611yescharacteristic
1773Q8—48no—
1774Q8—44no—
1775Q8—84no—
1776Q8—88no—
1777Q8—88no—
1778D4—28no—
1779D4—48no—
1780D4—48no—
1781D4—44no—
1782D4—48no—
1783D4—48no—
1784D4—44no—
1785D4—48no—
1786D4—44no—
1787D4—48no—
1788D4—48no—
1789D4—44no—
1790D4—88no—
1791D4—84no—
1792D4—84no—
1793D4—88no—
1794D4—88no—
1795D4—84no—
1796D4—88no—
1797D4—84no—
1798D4—88no—
1799D4—88no—
1800D4—164no—
1801D4—164no—
1802D4—164no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—28no—
1819C2×C4—216no—
1820C2×C4—28no—
1821C2×C4—28no—
1822C2×C4—28no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—24no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—48no—
1869C2×C4—416no—
1870C2×C4—416no—
1871C2×C4—48no—
1872C2×C4—44no—
1873C2×C4—48no—
1874C2×C4—44no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—44no—
1879C2×C4—44no—
1880C2×C4—48no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—84no—
1886C2×C4—84no—
1887C2×C4—84no—
1888C2×C4—82no—
1889C2×C4—84no—
1890C2×C4C23×D412yes—
1891C2×C4C23×D414yes—
1892C2×C4C23×D414yes—
1893C2×C4C23×D414yes—
1894C2×C4C23×D412yes—
1895C2×C4C23×D412yes—
1896C2×C4C23×D414yes—
1897C2×C4C23×D412yes—
1898C2×C4C22×#4114yes—
1899C2×C4C22×#4112yes—
1900C2×C4C22×#4114yes—
1901C2×C4#58514yes—
1902C22—24no—
1903C22—22no—
1904C22—24no—
1905C22—22no—
1906C22—24no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—22no—
1913C22—22no—
1914C22—42no—
1915C22—42no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—41no—
1921C22—44no—
1922C22—44no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—44no—
1927C22—42no—
1928C22—42no—
1929C22—44no—
1930C22—41no—
1931C22—44no—
1932C22—42no—
1933C22—42no—
1934C22—44no—
1935C22—44no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—42no—
1940C22—44no—
1941C22—44no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—88no—
1946C22—88no—
1947C22—816no—
1948C22—88no—
1949C22D4×#4114yes—
1950C22C24×D411yescharacteristic
1951C22C23×#4111yescharacteristic
1952C22C2×#58512yes—
1953C22C2×#58511yescharacteristic
1954C22H(7,𝔽2)12yes—
1955C4—24no—
1956C4—24no—
1957C4—24no—
1958C4—22no—
1959C4—22no—
1960C4—22no—
1961C4—24no—
1962C4—24no—
1963C4—24no—
1964C4—22no—
1965C4—42no—
1966C4—44no—
1967C4—44no—
1968C4—42no—
1969C4—41no—
1970C4—42no—
1971C4—41no—
1972C4—42no—
1973C4—42no—
1974C4—44no—
1975C4—42no—
1976C4—41no—
1977C4—41no—
1978C4—42no—
1979C4—41no—
1980C4—42no—
1981C4#344914yes—
1982C2—24no—
1983C2—42no—
1984C2—42no—
1985C2—42no—
1986C2—82no—
1987C2—84no—
1988C2—82no—
1989C2—81no—
1990C2C2×#344911yescharacteristic
1991C2C2×D4×#4111yescharacteristic
1992C2#6285211yescharacteristic
1993C2#6291012yes—
1994C2#6299412yes—
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×#3475C2semidirect
2. C22×#555C2semidirect
3. #39963C2semidirect
4. #39958C2semidirect
5. #39891C2semidirect
6. #39886C2semidirect
7. #39720C2semidirect
8. #39592C2semidirect
9. #39132C2semidirect
10. #39120C2semidirect
11. #38439C2semidirect
12. #38437C2semidirect
13. #38385C2semidirect
14. #38381C2semidirect
15. #38044C2semidirect
16. #38028C2semidirect
17. #37840C2semidirect
18. #37652C2semidirect
19. #36427C2semidirect
20. #36426C2semidirect
21. #36273C2semidirect
22. #36269C2semidirect
23. #36235C2semidirect
24. #36231C2semidirect
25. #36162C2semidirect
26. #36102C2semidirect
27. #35131C2semidirect
28. #35129C2semidirect
29. #35118C2semidirect
30. #35078C2semidirect
31. #35076C2semidirect
32. #35031C2semidirect
33. #34109C2semidirect
34. C4×#534C2semidirect
35. #34065C2semidirect
37. C2×#556C22semidirect
42. C2×#555C22semidirect
43. C2×#555C22semidirect
44. C2×#555C22semidirect
45. C2×#555C22semidirect
48. C2×#553C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
53. C2×#551C22semidirect
57. C2×#533C22semidirect
58. C22×C4⋊Q8C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
63. C22×#124C22semidirect
66. C2×#525C22semidirect
69. C22×#121C22semidirect
71. C2×C4×#41C22semidirect
74. C22×C4×D4C22semidirect
76. C22×#117C22semidirect
77. C22×#117C22semidirect
78. C22×#117C22semidirect
79. #2861C22semidirect
80. #2858C22semidirect
81. #2856C22semidirect
82. #2855C22semidirect
83. #2854C22semidirect
84. #2854C22semidirect
86. #2853C22semidirect
87. #2850C22semidirect
88. #2850C22semidirect
89. #2850C22semidirect
91. #2849C22semidirect
92. #2848C22semidirect
93. #2847C22semidirect
94. #2847C22semidirect
95. #2716C22semidirect
96. #2715C22semidirect
97. #2714C22semidirect
98. #2713C22semidirect
99. #2712C22semidirect
100. #2711C22semidirect
101. #2710C22semidirect
102. #2703C22semidirect
103. #2700C22semidirect
104. #2691C22semidirect
105. #2681C22semidirect
106. #2677C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2676C22semidirect
110. #2675C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2673C22semidirect
114. #2672C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2670C22semidirect
118. #2669C22semidirect
119. #2662C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2635C22semidirect
123. #2635C22semidirect
124. #2632C22semidirect
125. #2631C22semidirect
126. #2627C22semidirect
127. #2626C22semidirect
132. #2611C22semidirect
133. #2610C22semidirect
134. #2610C22semidirect
135. #2610C22semidirect
136. #2610C22semidirect
137. #2610C22semidirect
138. #2609C22semidirect
139. #2609C22semidirect
140. #2602C22semidirect
141. #2601C22semidirect
142. #2601C22semidirect
143. #2600C22semidirect
144. #2599C22semidirect
145. #2598C22semidirect
146. #2592C22semidirect
147. #2591C22semidirect
148. #2559C22semidirect
149. #2557C22semidirect
150. #2555C22semidirect
151. #2555C22semidirect
152. #2551C22semidirect
153. #2550C22semidirect
154. #2545C22semidirect
155. #2544C22semidirect
156. #2543C22semidirect
157. #2541C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2539C22semidirect
161. #2521C22semidirect
162. #2504C22semidirect
163. #2502C22semidirect
164. #2500C22semidirect
165. #2492C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2490C22semidirect
172. #2485C22semidirect
173. #2482C22semidirect
174. #2482C22semidirect
175. #2479C22semidirect
176. #2477C22semidirect
177. #2476C22semidirect
178. #2475C22semidirect
179. #2474C22semidirect
180. #2472C22semidirect
181. #2471C22semidirect
182. #2467C22semidirect
183. #2464C22semidirect
184. #2464C22semidirect
185. #2463C22semidirect
186. #2461C22semidirect
187. #2460C22semidirect
188. #2459C22semidirect
189. #2456C22semidirect
190. #2456C22semidirect
191. #2454C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2451C22semidirect
195. #2441C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
200. #2435C22semidirect
201. #2435C22semidirect
202. #2434C22semidirect
204. #2433C22semidirect
205. #2431C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2427C22semidirect
210. #2426C22semidirect
211. #2424C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
222. #2411C22semidirect
223. #2411C22semidirect
227. #2409C22semidirect
231. #2408C22semidirect
232. #2407C22semidirect
237. #2367C22semidirect
238. #2366C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2361C22semidirect
243. #2354C22semidirect
244. #2352C22semidirect
245. #2347C22semidirect
246. #2346C22semidirect
247. #2345C22semidirect
248. #2345C22semidirect
249. #2344C22semidirect
250. #2344C22semidirect
251. #2343C22semidirect
254. #2325C22semidirect
255. #2325C22semidirect
256. #2324C22semidirect
257. #2324C22semidirect
258. #2323C22semidirect
259. #2323C22semidirect
263. #2322C22semidirect
264. #2322C22semidirect
265. #2322C22semidirect
271. #2321C22semidirect
272. #2321C22semidirect
273. #2321C22semidirect
274. #2321C22semidirect
275. #2321C22semidirect
281. C4×#123C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
286. C4×#120C22semidirect
287. #2298C22semidirect
289. #2296C22semidirect
290. #2296C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. #2290C22semidirect
294. #2290C22semidirect
295. #2283C22semidirect
297. #2280C22semidirect
298. C4×#117C22semidirect
299. C4×#117C22semidirect
486. C2×#117D4semidirect
990. #123#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34752
C22×#5552
#399632
#399582
#398912
#398862
#397202
#395922
#391322
#391202
#384392
#384372
#383852
#383812
#380442
#380282
#378402
#376522
#364272
#364262
#362732
#362692
#362352
#362312
#361622
#361022
#351312
#351292
#351182
#350782
#350762
#350312
#341092
C4×#5342
#340652