Finite Group Databasebeta

← #7987510

Subgroups — #7987510

Order 512.

7843 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59660C211yesmaximal, characteristic, complemented
4#59102C212yesmaximal, complemented
5#59086C212yesmaximal, complemented
6#59057C211yesmaximal, characteristic, complemented
7#59057C211yesmaximal, characteristic, complemented
8#51887C214yesmaximal, complemented
9#51778C214yesmaximal, complemented
10#45449C214yesmaximal, complemented
11#45042C212yesmaximal, complemented
12#45036C212yesmaximal, complemented
13#44892C212yesmaximal, complemented
14#44886C212yesmaximal, complemented
15#42483C212yesmaximal, complemented
16#42476C212yesmaximal, complemented
17#42438C212yesmaximal, complemented
18#42433C212yesmaximal, complemented
19#39745C211yesmaximal, characteristic, complemented
20#39726C211yesmaximal, characteristic, complemented
21#39361C211yesmaximal, characteristic, complemented
22#39342C211yesmaximal, characteristic, complemented
23#37785C212yesmaximal, complemented
24#37775C212yesmaximal, complemented
25#37657C214yesmaximal, complemented
26#36455C211yesmaximal, characteristic, complemented
27#36410C211yesmaximal, characteristic, complemented
28#36128C211yesmaximal, characteristic, complemented
29#36102C212yesmaximal, complemented
30#36101C212yesmaximal, complemented
31#35226C212yesmaximal, complemented
32#35168C212yesmaximal, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3548—216no—
37C2×#562C2214yescomplemented
38#3481—216no—
39C2×#559C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2212yescomplemented
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#551C2214yes—
47C2×#550C2212yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2211yescharacteristic, complemented
51C2×#550C2212yescomplemented
52C2×#547C2212yescomplemented
53C2×#547C2212yescomplemented
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×#540C2212yes—
58C2×#540C2212yescomplemented
59C2×#537C2214yescomplemented
60C2×#537C2212yescomplemented
61C2×#537C2212yescomplemented
62C2×#535C2212yes—
63C2×#535C2212yes—
64C2×#533C2211yescharacteristic, complemented
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#532C2211yescharacteristic, complemented
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#525C2214yes—
71C2×#525C2214yescomplemented
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2212yes—
75C22×C4×D4C2212yes—
76#2867C2211yescharacteristic
77#2856C2211yescharacteristic
78#2856C2212yescomplemented
79#2856C2211yescharacteristic, complemented
80#2854C2212yescomplemented
81#2849C2214yescomplemented
82#2847C2214yescomplemented
83#2847C2214yescomplemented
84#2815C2214yescomplemented
85#2813C2214yescomplemented
86#2730C2214yescomplemented
87#2730C2214yescomplemented
88#2728C2214yescomplemented
89#2723C2214yescomplemented
90#2714C2214yescomplemented
91#2714C2214yescomplemented
92#2707C2214yescomplemented
93#2706C2214yescomplemented
94#2705C2214yescomplemented
95#2703C2214yescomplemented
96#2703C2214yescomplemented
97#2703C2214yescomplemented
98#2702C2214yescomplemented
99#2702C2214yescomplemented
100#2696C2214yescomplemented
101#2682C2214yescomplemented
102#2682C2214yescomplemented
103#2681C2214yescomplemented
104#2681C2214yescomplemented
105#2678C2214yescomplemented
106#2676C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2670C2214yes—
113#2669C2214yes—
114#2669C2214yes—
115#2669C2214yes—
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2657C2212yescomplemented
120#2635C2214yescomplemented
121#2630C2214yescomplemented
122#2620C2212yescomplemented
123#2619C2212yes—
124#2619C2214yescomplemented
125#2617C2214yescomplemented
126#2617C2214yescomplemented
127#2615C2212yes—
128#2615C2214yescomplemented
129#2592C2212yescomplemented
130#2582C2211yescharacteristic, complemented
131#2554C2214yescomplemented
132#2548C2211yescharacteristic
133#2548C2212yescomplemented
134#2548C2211yescharacteristic, complemented
135#2545C2212yescomplemented
136#2544C2212yescomplemented
137#2541C2211yescharacteristic
138#2541C2211yescharacteristic
139#2541C2212yes—
140#2541C2212yescomplemented
141#2541C2214yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2540C2212yescomplemented
146#2540C2212yescomplemented
147#2538C2212yescomplemented
148#2537C2211yescharacteristic
149#2537C2212yescomplemented
150#2536C2214yescomplemented
151#2491C2212yes—
152#2490C2212yescomplemented
153#2490C2212yescomplemented
154#2489C2212yescomplemented
155#2489C2212yescomplemented
156#2481C2214yescomplemented
157#2477C2214yescomplemented
158#2477C2212yescomplemented
159#2476C2214yescomplemented
160#2476C2212yescomplemented
161#2475C2212yescomplemented
162#2474C2212yescomplemented
163#2471C2214yescomplemented
164#2464C2214yescomplemented
165#2464C2214yescomplemented
166#2463C2214yescomplemented
167#2463C2214yescomplemented
168#2463C2212yescomplemented
169#2461C2214yescomplemented
170#2460C2212yescomplemented
171#2459C2212yescomplemented
172#2457C2214yescomplemented
173#2456C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2456C2212yescomplemented
178#2454C2212yescomplemented
179#2454C2212yescomplemented
180#2452C2211yescharacteristic
181#2452C2212yescomplemented
182#2451C2211yescharacteristic, complemented
183#2446C2211yescharacteristic, complemented
184#2445C2211yescharacteristic
185#2445C2212yes—
186#2443C2214yescomplemented
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2439C2211yescharacteristic, complemented
190#2439C2211yescharacteristic, complemented
191#2433C2212yes—
192#2433C2212yes—
193#2433C2212yes—
194#2433C2212yes—
195#2432C2211yescharacteristic
196#2431C2212yes—
197#2431C2211yescharacteristic
198#2431C2212yes—
199#2431C2212yescomplemented
200#2431C2212yescomplemented
201#2431C2212yescomplemented
202#2431C2212yescomplemented
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2212yescomplemented
208#2428C2214yescomplemented
209#2428C2214yescomplemented
210#2428C2212yescomplemented
211#2428C2212yescomplemented
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2428C2212yescomplemented
215#2428C2214yescomplemented
216#2428C2212yescomplemented
217#2427C2212yes—
218#2427C2211yescharacteristic
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2427C2214yescomplemented
222#2427C2214yescomplemented
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2426C2212yescomplemented
226#2426C2211yescharacteristic, complemented
227#2424C2214yescomplemented
228#2424C2214yescomplemented
229#2424C2214yescomplemented
230#2421C2211yescharacteristic, complemented
231#2420C2211yescharacteristic
232#2418C2214yescomplemented
233#2416C2214yescomplemented
234#2416C2212yescomplemented
235#2416C2212yescomplemented
236#2415C2211yescharacteristic, complemented
237#2414C2212yes—
238#2414C2214yescomplemented
239#2414C2214yescomplemented
240#2414C2212yescomplemented
241#2414C2214yescomplemented
242#2414C2212yescomplemented
243#2414C2211yescharacteristic, complemented
244#2411C2214yescomplemented
245#2408C2212yes—
246#2408C2212yes—
247#2407C2211yescharacteristic
248#2407C2211yescharacteristic
249#2407C2214yescomplemented
250#2407C2214yescomplemented
251#2407C2214yescomplemented
252#2407C2212yescomplemented
253#2404C2214yescomplemented
254#2398C2212yescomplemented
255#2392C2212yescomplemented
256#2392C2212yescomplemented
257#2388C2212yescomplemented
258#2378C2214yescomplemented
259#2370C2212yescomplemented
260#2369C2211yescharacteristic, complemented
261#2367C2212yescomplemented
262#2366C2212yes—
263#2366C2212yescomplemented
264#2366C2212yescomplemented
265#2366C2212yescomplemented
266#2363C2212yescomplemented
267#2362C2212yescomplemented
268#2361C2212yes—
269#2361C2212yescomplemented
270#2361C2212yescomplemented
271#2361C2212yescomplemented
272#2354C2212yes—
273#2354C2211yescharacteristic
274#2352C2214yescomplemented
275Q8×C4⋊C4C2211yescharacteristic, complemented
276#2344C2212yescomplemented
277#2341C2212yescomplemented
278#2330C2212yescomplemented
279#2328C2212yescomplemented
280#2324C2212yescomplemented
281#2323C2214yescomplemented
282#2323C2212yescomplemented
283#2319C2212yes—
284#2316C2212yescomplemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic, complemented
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#123C2212yescomplemented
292C4×#121C2211yescharacteristic
293C4×#121C2212yescomplemented
294C4×#121C2211yescharacteristic, complemented
295#2297C2212yescomplemented
296#2297C2212yescomplemented
297#2295C2211yescharacteristic, complemented
298#2293C2211yescharacteristic
299#2290C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311C24×C4C2314yes—
312#562—232no—
313#559—28no—
314#554—28no—
315#554—28no—
316#554—216no—
317#554D4116yescomplemented
318#553—216no—
319#553—216no—
320#551—232no—
321#550—28no—
322#550—216no—
323#550—28no—
324#550—48no—
325#550—48no—
326#547—216no—
327#547—216no—
328#546—216no—
329#546—216no—
330D42—28no—
331#540—216no—
332#540—216no—
333#537—232no—
334#537—216no—
335#537—216no—
336#535—48no—
337#535—48no—
338#533—28no—
339#532—28no—
340#532—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2314yes—
358C2×#127C2312yes—
359C2×#127C2314yes—
360C2×#127C2314yes—
361C2×#127C2312yes—
362#529—216no—
363#529—216no—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378C2×#124C2314yes—
379C2×#124C2312yes—
380#525—232no—
381#525—416no—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464C4×#41—28no—
465C4×#41—28no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×D4—216no—
475C2×C4×D4—216no—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2314yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2314yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2312yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2314yes—
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2314yes—
520C22×C4⋊C4C2314yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C22⋊C4C2314yes—
525C22×C22⋊C4C2314yes—
526C22×C42C2312yes—
527C22×C42C2311yescharacteristic
528C22×C42C2312yes—
529C22×C42C2311yescharacteristic
530#400C2314yes—
531#400C2312yes—
532#400C2312yes—
533#400C2314yes—
534#399C2314yes—
535#399C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2312yes—
539#398C2312yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2314yes—
548#397C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#395C2312yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2312yes—
596#393C2312yes—
597#393C2312yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2312yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2312yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2312yes—
617#392C2312yes—
618#392C2312yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#391C2312yes—
633#391C2311yescharacteristic
634#391C2314yes—
635#391C2312yes—
636#391C2312yes—
637#391C2311yescharacteristic
638#391C2311yescharacteristic
639#391C2311yescharacteristic
640#391C2312yes—
641#391C2311yescharacteristic
642#391C2311yescharacteristic
643#391C2312yes—
644#391C2312yes—
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2312yes—
648#390C2314yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2314yes—
654#390C2312yes—
655#390C2314yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2314yes—
662#390C2312yes—
663#390C2311yescharacteristic
664#390C2311yescharacteristic
665#390C2311yescharacteristic
666#390C2312yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2312yes—
671#390C2311yescharacteristic
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2311yescharacteristic
683#389C2314yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2312yes—
688#389C2314yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2311yescharacteristic
695#389C2311yescharacteristic
696#389C2311yescharacteristic
697#389C2311yescharacteristic
698#389C2312yes—
699#389C2311yescharacteristic
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#387C2312yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#387C2312yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2312yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2312yes—
773#386C2312yes—
774#386C2312yes—
775#386C2312yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2312yes—
788#385C2312yes—
789#385C2312yes—
790#385C2312yes—
791#384C2311yescharacteristic
792#384C2312yes—
793#382C2311yescharacteristic
794#382C2314yes—
795#382C2311yescharacteristic
796#381C2314yes—
797#381C2312yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2311yescharacteristic
810#380C2314yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2312yes—
814#379C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848#376C2312yes—
849C43C2311yescharacteristic
850C25C2414yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—216no—
859C2×#41—28no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—48no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—44no—
872C2×#41—82no—
873C2×#41—84no—
874C2×#41—82no—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×D4—28no—
882C22×D4—28no—
883C22×D4—28no—
884C22×D4—44no—
885C22×D4—44no—
886C22×D4—44no—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C23×C4—216no—
925C23×C4—48no—
926C23×C4—84no—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2411yescharacteristic
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2414yes—
947C23×C4C2414yes—
948C4⋊Q8—24no—
949C4⋊Q8—24no—
950C4⋊Q8—24no—
951C4⋊Q8C2×D418yes—
952#127—24no—
953#127—28no—
954#127—28no—
955#127—24no—
956#127—24no—
957#127—28no—
958#127—44no—
959#127—44no—
960#127—44no—
961#127—44no—
962#127—44no—
963#127—48no—
964#127—44no—
965#127—48no—
966#127—48no—
967#127—82no—
968#126—216no—
969#126—216no—
970#125—28no—
971#125—28no—
972#125—28no—
973#125C2×D4116yes—
974#124—28no—
975#124—28no—
976#124—28no—
977#124—24no—
978#124—28no—
979#124—28no—
980#124—44no—
981#124—42no—
982#124—44no—
983#124—48no—
984#123—216no—
985#123—216no—
986#123—216no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—28no—
991#123—216no—
992#123—216no—
993#123—48no—
994C22⋊Q8—216no—
995C22⋊Q8—24no—
996C22⋊Q8—216no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—24no—
1000C22⋊Q8—216no—
1001C22⋊Q8—28no—
1002C22⋊Q8—216no—
1003C22⋊Q8—216no—
1004C22⋊Q8—28no—
1005C22⋊Q8—48no—
1006C22⋊Q8—42no—
1007C22⋊Q8—42no—
1008C22⋊Q8C2×D4132yes—
1009C22⋊Q8C2×D4116yes—
1010#121—24no—
1011#121—24no—
1012#121—28no—
1013#121—216no—
1014#121—28no—
1015#121—216no—
1016#121—28no—
1017#121—216no—
1018#121—216no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—216no—
1026#121—216no—
1027#121—28no—
1028#121—216no—
1029#121—28no—
1030#121—216no—
1031#121—216no—
1032#121—216no—
1033#121—216no—
1034#121—48no—
1035#121—44no—
1036#121—48no—
1037#121—48no—
1038#121—44no—
1039#121—48no—
1040#121—48no—
1041#121—48no—
1042#121—48no—
1043#121—44no—
1044#121—42no—
1045#121—44no—
1046#121—44no—
1047#121—44no—
1048#121—44no—
1049#121—44no—
1050#121—44no—
1051#121—44no—
1052#121—44no—
1053#121—48no—
1054#121—84no—
1055#121—84no—
1056#121—84no—
1057#120—216no—
1058#120—216no—
1059#120—48no—
1060#120—48no—
1061#120—48no—
1062#120—48no—
1063#120—48no—
1064#120—48no—
1065#120—84no—
1066C4×Q8—24no—
1067C4×Q8—24no—
1068C4×Q8—24no—
1069C4×Q8—28no—
1070C4×Q8—24no—
1071C4×Q8—44no—
1072C4×Q8—44no—
1073C4×Q8C2×D418yes—
1074C4×D4—24no—
1075C4×D4—216no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—24no—
1079C4×D4—216no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—216no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—216no—
1091C4×D4—24no—
1092C4×D4—216no—
1093C4×D4—28no—
1094C4×D4—28no—
1095C4×D4—24no—
1096C4×D4—28no—
1097C4×D4—24no—
1098C4×D4—28no—
1099C4×D4—48no—
1100C4×D4—44no—
1101C4×D4—42no—
1102C4×D4—42no—
1103C4×D4—44no—
1104C4×D4—48no—
1105C4×D4—48no—
1106C4×D4—48no—
1107C4×D4C2×D4116yes—
1108C4×D4C2×D418yes—
1109#117—28no—
1110#117—24no—
1111#117—24no—
1112#117—216no—
1113#117—28no—
1114#117—28no—
1115#117—44no—
1116#117—48no—
1117#117—44no—
1118C2×C4⋊C4—28no—
1119C2×C4⋊C4—216no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4C2×D4116yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C22⋊C4—216no—
1173C2×C22⋊C4—216no—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C42—28no—
1251C2×C42—28no—
1252C2×C42—24no—
1253C2×C42—24no—
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2414yes—
1275C2×C42C2414yes—
1276C2×C42C2414yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2411yescharacteristic
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2412yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326C24—28no—
1327C24—28no—
1328C24—44no—
1329C24—44no—
1330C24—44no—
1331C24—44no—
1332C24—44no—
1333C24C2514yes—
1334C24C2512yes—
1335C24C2514yes—
1336C24C2511yescharacteristic
1337C24C2511yescharacteristic
1338C24C2512yes—
1339C24C2512yes—
1340#41—416no—
1341#41—416no—
1342#41—816no—
1343#41—816no—
1344#41—816no—
1345#41—816no—
1346#41—832no—
1347#41—816no—
1348C2×Q8—22no—
1349C2×Q8—24no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—22no—
1355C2×Q8—22no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—42no—
1360C2×Q8—42no—
1361C2×Q8—42no—
1362C2×Q8—42no—
1363C2×Q8—42no—
1364C2×Q8C22×D414yes—
1365C2×Q8C22×D418yes—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—28no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—28no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—432no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—432no—
1477C2×D4C22×D414yes—
1478C2×D4H(5,𝔽2)14yes—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—22no—
1489C22×C4—24no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—28no—
1494C22×C4—24no—
1495C22×C4—28no—
1496C22×C4—28no—
1497C22×C4—28no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—24no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—24no—
1512C22×C4—22no—
1513C22×C4—24no—
1514C22×C4—28no—
1515C22×C4—28no—
1516C22×C4—28no—
1517C22×C4—28no—
1518C22×C4—28no—
1519C22×C4—44no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—44no—
1539C22×C4—44no—
1540C22×C4—832no—
1541C22×C4C22×D418yes—
1542C22×C4C22×D4116yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2514yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2512yes—
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2514yes—
1565C22×C4C2512yes—
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C22×C4C2511yescharacteristic
1571C4⋊C4—22no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—28no—
1576C4⋊C4—28no—
1577C4⋊C4—28no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—22no—
1598C4⋊C4—42no—
1599C4⋊C4—42no—
1600C4⋊C4—44no—
1601C4⋊C4—41no—
1602C4⋊C4—41no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—42no—
1608C4⋊C4—44no—
1609C4⋊C4—42no—
1610C4⋊C4—44no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4C22×D418yes—
1614C4⋊C4C22×D4116yes—
1615C4⋊C4C22×D418yes—
1616C4⋊C4C22×D414yes—
1617C4⋊C4C22×D4116yes—
1618C4⋊C4C22×D414yes—
1619C4⋊C4C22×D418yes—
1620C4⋊C4H(5,𝔽2)14yes—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—28no—
1637C22⋊C4—28no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—22no—
1650C22⋊C4—22no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—41no—
1663C22⋊C4—41no—
1664C22⋊C4—41no—
1665C22⋊C4—41no—
1666C22⋊C4—44no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—42no—
1694C22⋊C4—42no—
1695C22⋊C4C22×D4116yes—
1696C22⋊C4C22×D418yes—
1697C42—22no—
1698C42—22no—
1699C42—22no—
1700C42—24no—
1701C42—24no—
1702C42—24no—
1703C42—24no—
1704C42—22no—
1705C42—24no—
1706C42—22no—
1707C42—22no—
1708C42—24no—
1709C42—22no—
1710C42—28no—
1711C42—24no—
1712C42—22no—
1713C42—24no—
1714C42—22no—
1715C42—22no—
1716C42—22no—
1717C42—44no—
1718C42—44no—
1719C42—44no—
1720C42—41no—
1721C42C22×D414yes—
1722C42C22×D418yes—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—21no—
1737C23—21no—
1738C23—24no—
1739C23—22no—
1740C23—22no—
1741C23—24no—
1742C23—24no—
1743C23—21no—
1744C23—21no—
1745C23—24no—
1746C23—21no—
1747C23—22no—
1748C23—24no—
1749C23—21no—
1750C23—22no—
1751C23—21no—
1752C23—21no—
1753C23—24no—
1754C23—21no—
1755C23—24no—
1756C23—21no—
1757C23—21no—
1758C23—22no—
1759C23—24no—
1760C23—24no—
1761C23—21no—
1762C23—22no—
1763C23—24no—
1764C23—24no—
1765C23—21no—
1766C23—21no—
1767C23—22no—
1768C23—24no—
1769C23—24no—
1770C23—416no—
1771C23—416no—
1772C23—88no—
1773C23—88no—
1774C23—88no—
1775C23—88no—
1776C23—88no—
1777C23C23×D414yes—
1778C23C2×H(5,𝔽2)14yes—
1779C23C2611yescharacteristic
1780Q8—28no—
1781Q8—48no—
1782Q8—48no—
1783Q8—44no—
1784Q8—44no—
1785Q8—84no—
1786D4—28no—
1787D4—28no—
1788D4—416no—
1789D4—48no—
1790D4—48no—
1791D4—44no—
1792D4—416no—
1793D4—48no—
1794D4—44no—
1795D4—48no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—84no—
1804D4—84no—
1805D4—84no—
1806D4—88no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810D4—84no—
1811D4—88no—
1812D4—84no—
1813D4—84no—
1814D4—88no—
1815D4—88no—
1816D4—84no—
1817D4—164no—
1818D4—164no—
1819D4—164no—
1820D4—164no—
1821D4—164no—
1822D4—164no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—216no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—24no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—416no—
1895C2×C4—48no—
1896C2×C4—416no—
1897C2×C4—44no—
1898C2×C4—416no—
1899C2×C4—44no—
1900C2×C4—48no—
1901C2×C4—48no—
1902C2×C4—48no—
1903C2×C4—44no—
1904C2×C4—48no—
1905C2×C4—44no—
1906C2×C4—44no—
1907C2×C4—48no—
1908C2×C4—44no—
1909C2×C4—88no—
1910C2×C4—88no—
1911C2×C4—88no—
1912C2×C4—88no—
1913C2×C4—88no—
1914C2×C4C23×D412yes—
1915C2×C4C23×D414yes—
1916C2×C4C23×D414yes—
1917C2×C4C23×D414yes—
1918C2×C4C23×D418yes—
1919C2×C4C23×D412yes—
1920C2×C4C23×D412yes—
1921C2×C4C2×H(5,𝔽2)12yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4C2×H(5,𝔽2)12yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4#58512yes—
1926C2×C4#58512yes—
1927C2×C4#58512yes—
1928C22—24no—
1929C22—24no—
1930C22—24no—
1931C22—24no—
1932C22—24no—
1933C22—24no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—44no—
1943C22—41no—
1944C22—41no—
1945C22—44no—
1946C22—42no—
1947C22—42no—
1948C22—44no—
1949C22—41no—
1950C22—41no—
1951C22—44no—
1952C22—41no—
1953C22—41no—
1954C22—42no—
1955C22—44no—
1956C22—44no—
1957C22—41no—
1958C22—41no—
1959C22—44no—
1960C22—42no—
1961C22—44no—
1962C22—41no—
1963C22—42no—
1964C22—41no—
1965C22—44no—
1966C22—44no—
1967C22—41no—
1968C22—41no—
1969C22—42no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—44no—
1974C22—42no—
1975C22—41no—
1976C22—41no—
1977C22—832no—
1978C22C24×D411yescharacteristic
1979C22C22×H(5,𝔽2)11yescharacteristic
1980C22C22×H(5,𝔽2)11yescharacteristic
1981C22C2×#58511yescharacteristic
1982C22C2×#58511yescharacteristic
1983C22C2×#58511yescharacteristic
1984C22H(7,𝔽2)11yescharacteristic
1985C4—22no—
1986C4—22no—
1987C4—28no—
1988C4—24no—
1989C4—22no—
1990C4—22no—
1991C4—24no—
1992C4—24no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—44no—
1997C4—41no—
1998C4—42no—
1999C4—41no—
2000C4—41no—
2001C4—42no—
2002C4—42no—
2003C4—41no—
2004C4—42no—
2005C4—41no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—41no—
2010C4—41no—
2011C4#348714yes—
2012C4#348814yes—
2013C2—44no—
2014C2—44no—
2015C2—84no—
2016C2—81no—
2017C2—81no—
2018C2—82no—
2019C2—84no—
2020C2#6275911yescharacteristic
2021C2C2×#348711yescharacteristic
2022C2C2×#348811yescharacteristic
2023C2#6292011yescharacteristic
2024C2#6296911yescharacteristic
2025C2D4×H(5,𝔽2)11yescharacteristic
2026C2#6301411yescharacteristic
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×#3548C2semidirect
2. C2×#3481C2semidirect
3. #59660C2semidirect
4. #59102C2semidirect
5. #59086C2semidirect
6. #59057C2semidirect
7. #59057C2semidirect
8. #51887C2semidirect
9. #51778C2semidirect
10. #45449C2semidirect
11. #45042C2semidirect
12. #45036C2semidirect
13. #44892C2semidirect
14. #44886C2semidirect
15. #42483C2semidirect
16. #42476C2semidirect
17. #42438C2semidirect
18. #42433C2semidirect
19. #39745C2semidirect
20. #39726C2semidirect
21. #39361C2semidirect
22. #39342C2semidirect
23. #37785C2semidirect
24. #37775C2semidirect
25. #37657C2semidirect
26. #36455C2semidirect
27. #36410C2semidirect
28. #36128C2semidirect
29. #36102C2semidirect
30. #36101C2semidirect
31. #35226C2semidirect
32. #35168C2semidirect
33. #34720C2semidirect
34. #34715C2semidirect
35. #34484C2semidirect
37. C2×#562C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
50. C2×#550C22semidirect
51. C2×#550C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
58. C2×#540C22semidirect
59. C2×#537C22semidirect
60. C2×#537C22semidirect
61. C2×#537C22semidirect
64. C2×#533C22semidirect
67. C2×#532C22semidirect
71. C2×#525C22semidirect
78. #2856C22semidirect
79. #2856C22semidirect
80. #2854C22semidirect
81. #2849C22semidirect
82. #2847C22semidirect
83. #2847C22semidirect
84. #2815C22semidirect
85. #2813C22semidirect
86. #2730C22semidirect
87. #2730C22semidirect
88. #2728C22semidirect
89. #2723C22semidirect
90. #2714C22semidirect
91. #2714C22semidirect
92. #2707C22semidirect
93. #2706C22semidirect
94. #2705C22semidirect
95. #2703C22semidirect
96. #2703C22semidirect
97. #2703C22semidirect
98. #2702C22semidirect
99. #2702C22semidirect
100. #2696C22semidirect
101. #2682C22semidirect
102. #2682C22semidirect
103. #2681C22semidirect
104. #2681C22semidirect
105. #2678C22semidirect
106. #2676C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2657C22semidirect
120. #2635C22semidirect
121. #2630C22semidirect
122. #2620C22semidirect
124. #2619C22semidirect
125. #2617C22semidirect
126. #2617C22semidirect
128. #2615C22semidirect
129. #2592C22semidirect
130. #2582C22semidirect
131. #2554C22semidirect
133. #2548C22semidirect
134. #2548C22semidirect
135. #2545C22semidirect
136. #2544C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2538C22semidirect
149. #2537C22semidirect
150. #2536C22semidirect
152. #2490C22semidirect
153. #2490C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
156. #2481C22semidirect
157. #2477C22semidirect
158. #2477C22semidirect
159. #2476C22semidirect
160. #2476C22semidirect
161. #2475C22semidirect
162. #2474C22semidirect
163. #2471C22semidirect
164. #2464C22semidirect
165. #2464C22semidirect
166. #2463C22semidirect
167. #2463C22semidirect
168. #2463C22semidirect
169. #2461C22semidirect
170. #2460C22semidirect
171. #2459C22semidirect
172. #2457C22semidirect
173. #2456C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2456C22semidirect
178. #2454C22semidirect
179. #2454C22semidirect
181. #2452C22semidirect
182. #2451C22semidirect
183. #2446C22semidirect
186. #2443C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2439C22semidirect
190. #2439C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
201. #2431C22semidirect
202. #2431C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
225. #2426C22semidirect
226. #2426C22semidirect
227. #2424C22semidirect
228. #2424C22semidirect
229. #2424C22semidirect
230. #2421C22semidirect
232. #2418C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2415C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2411C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2404C22semidirect
254. #2398C22semidirect
255. #2392C22semidirect
256. #2392C22semidirect
257. #2388C22semidirect
258. #2378C22semidirect
259. #2370C22semidirect
260. #2369C22semidirect
261. #2367C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2366C22semidirect
266. #2363C22semidirect
267. #2362C22semidirect
269. #2361C22semidirect
270. #2361C22semidirect
271. #2361C22semidirect
274. #2352C22semidirect
275. Q8×C4⋊C4C22semidirect
276. #2344C22semidirect
277. #2341C22semidirect
278. #2330C22semidirect
279. #2328C22semidirect
280. #2324C22semidirect
281. #2323C22semidirect
282. #2323C22semidirect
284. #2316C22semidirect
285. C4×C4⋊Q8C22semidirect
287. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×#123C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
295. #2297C22semidirect
296. #2297C22semidirect
297. #2295C22semidirect
299. #2290C22semidirect
300. C42×D4C22semidirect
317. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C2×#34812
#596602
#591022
#590862
#590572
#518872
#517782
#454492
#450422
#450362
#448922
#448862
#424832
#424762
#424382
#424332
#397452
#397262
#393612
#393422
#377852
#377752
#376572
#364552
#364102
#361282
#361022
#361012
#352262
#351682
#347202
#347152
#344842