Finite Group Databasebeta

← #7986729

Subgroups — #7986729

Order 512.

7372 conjugacy classes of subgroups.

The subgroup lattice has 1994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3548C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic, complemented
4#59083C212yesmaximal, complemented
5#59079C211yesmaximal, characteristic, complemented
6#59056C211yesmaximal, characteristic, complemented
7#58999C212yesmaximal, complemented
8#51887C214yesmaximal, complemented
9#51782C214yesmaximal, complemented
10#45766C214yesmaximal, complemented
11#45412C212yesmaximal, complemented
12#45236C212yesmaximal, complemented
13#45071C212yesmaximal, complemented
14#45064C212yesmaximal, complemented
15#42483C212yesmaximal, complemented
16#42476C212yesmaximal, complemented
17#42438C212yesmaximal, complemented
18#42433C212yesmaximal, complemented
19#39747C211yesmaximal, characteristic, complemented
20#39727C211yesmaximal, characteristic, complemented
21#39471C211yesmaximal, characteristic, complemented
22#38956C211yesmaximal, characteristic, complemented
23#37785C214yesmaximal, complemented
24#37775C212yesmaximal, complemented
25#37657C212yesmaximal, complemented
26#36455C211yesmaximal, characteristic, complemented
27#36426C212yesmaximal, complemented
28#36410C212yesmaximal, complemented
29#36150C211yesmaximal, characteristic, complemented
30#36101C211yesmaximal, characteristic, complemented
31#35156C212yesmaximal, complemented
32#35150C212yesmaximal, complemented
33#34720C211yesmaximal, characteristic, complemented
34#34681C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3548—216no—
37C2×#562C2214yescomplemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#554C2212yescomplemented
44C2×#553C2212yes—
45C2×#552C2212yes—
46C2×#552C2212yes—
47C2×#551C2214yes—
48C2×#550C2211yescharacteristic
49C2×#550C2212yes—
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic, complemented
52C2×#547C2211yescharacteristic
53C2×#547C2212yescomplemented
54C2×#547C2212yescomplemented
55C2×#546C2212yes—
56C2×#540C2212yes—
57C2×#540C2212yescomplemented
58C2×#537C2212yescomplemented
59C2×#537C2212yescomplemented
60C2×#537C2214yescomplemented
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic, complemented
65C2×#529C2212yes—
66C2×#529C2214yes—
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×#525C2212yes—
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×#117C2212yes—
74#2858C2211yescharacteristic, complemented
75#2857C2211yescharacteristic, complemented
76#2856C2211yescharacteristic
77#2856C2212yescomplemented
78#2854C2214yescomplemented
79#2854C2214yescomplemented
80#2853C2214yescomplemented
81#2847C2212yes—
82#2815C2214yes—
83#2813C2214yes—
84#2733C2214yescomplemented
85#2730C2214yescomplemented
86#2728C2214yes—
87#2725C2214yescomplemented
88#2723C2214yescomplemented
89#2714C2214yescomplemented
90#2714C2214yescomplemented
91#2714C2214yescomplemented
92#2714C2214yescomplemented
93#2710C2214yescomplemented
94#2706C2214yes—
95#2705C2214yescomplemented
96#2705C2214yescomplemented
97#2703C2214yes—
98#2703C2214yes—
99#2703C2214yes—
100#2703C2214yescomplemented
101#2703C2214yescomplemented
102#2703C2214yescomplemented
103#2702C2214yescomplemented
104#2702C2214yescomplemented
105#2696C2214yescomplemented
106#2694C2214yescomplemented
107#2690C2214yescomplemented
108#2682C2214yescomplemented
109#2681C2214yes—
110#2681C2214yescomplemented
111#2678C2214yes—
112#2673C2214yes—
113#2673C2214yescomplemented
114#2669C2214yes—
115#2669C2214yes—
116#2669C2214yes—
117#2657C2212yes—
118#2635C2214yescomplemented
119#2630C2214yescomplemented
120#2620C2212yes—
121#2619C2214yes—
122#2619C2212yescomplemented
123#2617C2214yes—
124#2617C2214yes—
125#2615C2214yes—
126#2615C2212yescomplemented
127#2592C2212yes—
128#2582C2212yescomplemented
129#2568C2211yescharacteristic, complemented
130#2560C2214yescomplemented
131#2548C2212yescomplemented
132#2547C2211yescharacteristic, complemented
133#2544C2212yes—
134#2541C2211yescharacteristic
135#2541C2212yes—
136#2541C2212yes—
137#2541C2212yescomplemented
138#2541C2211yescharacteristic, complemented
139#2540C2212yes—
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2538C2211yescharacteristic
143#2537C2212yes—
144#2537C2211yescharacteristic, complemented
145#2536C2212yescomplemented
146#2504C2212yescomplemented
147#2492C2212yescomplemented
148#2490C2212yes—
149#2490C2214yescomplemented
150#2490C2212yescomplemented
151#2489C2212yes—
152#2489C2212yescomplemented
153#2487C2212yescomplemented
154#2481C2214yescomplemented
155#2477C2214yes—
156#2477C2214yescomplemented
157#2477C2212yescomplemented
158#2476C2214yescomplemented
159#2476C2214yescomplemented
160#2476C2214yescomplemented
161#2475C2212yescomplemented
162#2472C2212yes—
163#2471C2214yes—
164#2471C2214yescomplemented
165#2470C2214yescomplemented
166#2464C2212yes—
167#2464C2214yescomplemented
168#2464C2214yescomplemented
169#2463C2212yes—
170#2463C2214yescomplemented
171#2461C2212yes—
172#2460C2212yes—
173#2456C2214yes—
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2455C2214yescomplemented
177#2454C2212yescomplemented
178#2453C2212yescomplemented
179#2452C2211yescharacteristic
180#2452C2211yescharacteristic, complemented
181#2448C2212yescomplemented
182#2446C2211yescharacteristic, complemented
183#2445C2212yes—
184#2445C2214yes—
185#2445C2211yescharacteristic
186#2443C2214yes—
187#2442C2214yescomplemented
188#2442C2212yescomplemented
189#2441C2212yescomplemented
190#2440C2211yescharacteristic
191#2439C2211yescharacteristic
192#2439C2212yescomplemented
193#2433C2212yes—
194#2433C2211yescharacteristic
195#2432C2211yescharacteristic
196#2431C2212yes—
197#2431C2212yes—
198#2431C2212yes—
199#2431C2212yescomplemented
200#2431C2214yescomplemented
201#2429C2212yescomplemented
202#2428C2212yes—
203#2428C2214yes—
204#2428C2211yescharacteristic
205#2428C2212yes—
206#2428C2214yescomplemented
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2427C2212yes—
210#2427C2212yes—
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2427C2211yescharacteristic, complemented
214#2426C2212yes—
215#2426C2214yescomplemented
216#2426C2212yescomplemented
217#2424C2214yes—
218#2424C2212yes—
219#2422C2211yescharacteristic
220#2421C2214yescomplemented
221#2421C2211yescharacteristic, complemented
222#2416C2211yescharacteristic
223#2416C2212yescomplemented
224#2415C2214yes—
225#2415C2211yescharacteristic
226#2415C2212yes—
227#2415C2212yescomplemented
228#2415C2212yescomplemented
229#2415C2214yescomplemented
230#2414C2212yes—
231#2414C2214yes—
232#2414C2212yes—
233#2414C2212yes—
234#2414C2212yescomplemented
235#2414C2212yescomplemented
236#2414C2214yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2214yescomplemented
240#2414C2212yescomplemented
241#2414C2214yescomplemented
242#2411C2214yes—
243#2408C2211yescharacteristic
244#2407C2212yes—
245#2407C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yescomplemented
249#2407C2214yescomplemented
250#2407C2212yescomplemented
251#2404C2214yes—
252#2398C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2378C2214yescomplemented
257#2370C2212yescomplemented
258#2369C2211yescharacteristic, complemented
259#2367C2212yescomplemented
260#2367C2212yescomplemented
261#2366C2212yes—
262#2363C2212yes—
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2363C2212yescomplemented
266#2362C2212yescomplemented
267#2361C2212yes—
268#2361C2214yescomplemented
269#2354C2211yescharacteristic
270#2354C2212yes—
271#2352C2212yes—
272#2352C2212yescomplemented
273Q8×C4⋊C4C2211yescharacteristic, complemented
274#2344C2212yescomplemented
275#2341C2212yescomplemented
276#2341C2212yescomplemented
277#2330C2212yescomplemented
278#2326C2212yescomplemented
279#2323C2212yescomplemented
280#2323C2212yescomplemented
281#2323C2214yescomplemented
282#2319C2212yes—
283#2316C2212yescomplemented
284#2311C2212yescomplemented
285#2311C2212yescomplemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#127C2211yescharacteristic
288C4×#124C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2212yescomplemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2211yescharacteristic, complemented
294C4×#121C2212yescomplemented
295C4×#120C2212yes—
296#2297C2214yescomplemented
297#2295C2211yescharacteristic, complemented
298#2293C2211yescharacteristic
299#2290C2212yescomplemented
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#562—232no—
311#556—28no—
312#555—28no—
313#554—28no—
314#554—216no—
315#554D4116yescomplemented
316#553—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320#550—28no—
321#550—216no—
322#550—28no—
323#550—48no—
324#547—216no—
325#547—28no—
326#547—216no—
327#546—216no—
328#540—216no—
329#540—216no—
330#537—232no—
331#537—216no—
332#537—216no—
333#533—28no—
334#533—28no—
335#532—28no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2314yes—
350C2×#127C2314yes—
351#529—216no—
352#529—232no—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369#525—216no—
370#525—48no—
371#525—48no—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#120C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2314yes—
446C2×#120C2312yes—
447C2×#120C2314yes—
448C4×#41—28no—
449C4×#41—216no—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4—28no—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×#117—216no—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2314yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2314yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2312yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2312yes—
513C22×C42C2314yes—
514C22×C42C2311yescharacteristic
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517#400C2314yes—
518#400C2314yes—
519#400C2312yes—
520#400C2312yes—
521#400C2314yes—
522#400C2314yes—
523#399C2314yes—
524#399C2314yes—
525#399C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2312yes—
530#398C2312yes—
531#397C2314yes—
532#397C2314yes—
533#397C2312yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2312yes—
548#396C2312yes—
549#396C2312yes—
550#396C2312yes—
551#396C2314yes—
552#395C2312yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2314yes—
572#394C2314yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#393C2312yes—
586#393C2314yes—
587#393C2312yes—
588#393C2314yes—
589#393C2312yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2312yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2312yes—
609#392C2312yes—
610#392C2312yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#391C2314yes—
620#391C2312yes—
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2311yescharacteristic
626#391C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2314yes—
630#391C2311yescharacteristic
631#391C2311yescharacteristic
632#391C2312yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2312yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2314yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2312yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2312yes—
657#390C2311yescharacteristic
658#390C2312yes—
659#390C2312yes—
660#390C2311yescharacteristic
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2311yescharacteristic
667#390C2311yescharacteristic
668#390C2314yes—
669#390C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2311yescharacteristic
673#389C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2312yes—
678#389C2314yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2311yescharacteristic
683#389C2314yes—
684#389C2311yescharacteristic
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2311yescharacteristic
689#389C2312yes—
690#389C2312yes—
691#389C2311yescharacteristic
692#389C2311yescharacteristic
693#389C2311yescharacteristic
694#389C2311yescharacteristic
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2312yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2314yes—
762#386C2312yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2314yes—
767#386C2312yes—
768#386C2312yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#385C2314yes—
776#385C2314yes—
777#385C2312yes—
778#385C2312yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#384C2311yescharacteristic
787#384C2311yescharacteristic
788#384C2312yes—
789#382C2312yes—
790#382C2311yescharacteristic
791#382C2314yes—
792#381C2314yes—
793#380C2311yescharacteristic
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2312yes—
813#379C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—216no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—48no—
868C2×#41—84no—
869C2×#41—82no—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×D4—24no—
877C22×D4—42no—
878C22×D4—42no—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C23×C4—28no—
912C23×C4—28no—
913C23×C4—44no—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8C2×D418yes—
940#127—24no—
941#127—28no—
942#127—24no—
943#127—28no—
944#127—44no—
945#127—42no—
946#127—44no—
947#127—48no—
948#127—84no—
949#126—216no—
950#126—216no—
951#126—216no—
952#125—216no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125C2×D4116yes—
957#124—216no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—42no—
962#124—44no—
963#124—44no—
964#124—44no—
965#123—216no—
966#123—216no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—44no—
974#123—44no—
975#123—48no—
976C22⋊Q8—28no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—216no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8C2×D4116yes—
995C22⋊Q8C2×D4132yes—
996#121—24no—
997#121—28no—
998#121—216no—
999#121—216no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—28no—
1008#121—216no—
1009#121—216no—
1010#121—28no—
1011#121—216no—
1012#121—28no—
1013#121—216no—
1014#121—216no—
1015#121—216no—
1016#121—216no—
1017#121—48no—
1018#121—44no—
1019#121—48no—
1020#121—48no—
1021#121—44no—
1022#121—42no—
1023#121—44no—
1024#121—44no—
1025#121—42no—
1026#121—42no—
1027#121—44no—
1028#121—44no—
1029#121—44no—
1030#121—44no—
1031#121—44no—
1032#121—84no—
1033#121—84no—
1034#121—82no—
1035#120—216no—
1036#120—44no—
1037#120—44no—
1038#120—44no—
1039#120—48no—
1040#120—84no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8—28no—
1046C4×Q8—24no—
1047C4×Q8—44no—
1048C4×Q8—82no—
1049C4×Q8C2×D418yes—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—216no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—216no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—44no—
1072C4×D4—42no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—44no—
1076C4×D4—42no—
1077C4×D4—48no—
1078C4×D4—48no—
1079C4×D4—48no—
1080C4×D4C2×D418yes—
1081C4×D4C2×D4116yes—
1082#117—24no—
1083#117—28no—
1084#117—216no—
1085#117—216no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—28no—
1090#117—216no—
1091#117—28no—
1092#117—44no—
1093#117—44no—
1094#117—84no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—24no—
1097C2×C4⋊C4—216no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4C2×D4116yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C22⋊C4—216no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C42—216no—
1234C2×C42—24no—
1235C2×C42—28no—
1236C2×C42—24no—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2414yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—24no—
1311C24—42no—
1312C24—42no—
1313C24—42no—
1314C24—42no—
1315C24—42no—
1316C24C2512yes—
1317C24C2512yes—
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2514yes—
1321C24C2512yes—
1322C24C2511yescharacteristic
1323#41—416no—
1324#41—432no—
1325#41—816no—
1326#41—816no—
1327#41—816no—
1328#41—832no—
1329#41—816no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—42no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8C22×D414yes—
1347C2×Q8C22×D418yes—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—44no—
1432C2×D4—42no—
1433C2×D4—44no—
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—416no—
1444C2×D4C22×D414yes—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—28no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—22no—
1478C22×C4—28no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—28no—
1484C22×C4—28no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—44no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—41no—
1495C22×C4—432no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—42no—
1501C22×C4—44no—
1502C22×C4—42no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4C22×D418yes—
1507C22×C4C22×D4116yes—
1508C22×C4H(5,𝔽2)14yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2514yes—
1520C22×C4C2514yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2514yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—28no—
1546C4⋊C4—28no—
1547C4⋊C4—28no—
1548C4⋊C4—28no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—28no—
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—41no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—42no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4C22×D418yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D4116yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D4116yes—
1590C4⋊C4C22×D418yes—
1591C4⋊C4C22×D418yes—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—28no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—22no—
1619C22⋊C4—28no—
1620C22⋊C4—22no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—41no—
1629C22⋊C4—42no—
1630C22⋊C4—41no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—41no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4C22×D418yes—
1667C22⋊C4C22×D4116yes—
1668C42—24no—
1669C42—22no—
1670C42—28no—
1671C42—28no—
1672C42—22no—
1673C42—24no—
1674C42—28no—
1675C42—22no—
1676C42—22no—
1677C42—22no—
1678C42—22no—
1679C42—24no—
1680C42—22no—
1681C42—24no—
1682C42—22no—
1683C42—22no—
1684C42—24no—
1685C42—22no—
1686C42—44no—
1687C42—44no—
1688C42—44no—
1689C42—41no—
1690C42—44no—
1691C42—41no—
1692C42C22×D414yes—
1693C42C22×D418yes—
1694C23—21no—
1695C23—22no—
1696C23—21no—
1697C23—21no—
1698C23—22no—
1699C23—21no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—24no—
1710C23—22no—
1711C23—21no—
1712C23—22no—
1713C23—24no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—24no—
1721C23—21no—
1722C23—22no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—24no—
1730C23—22no—
1731C23—24no—
1732C23—22no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—24no—
1739C23—22no—
1740C23—21no—
1741C23—48no—
1742C23—48no—
1743C23—84no—
1744C23—84no—
1745C23—84no—
1746C23—84no—
1747C23—84no—
1748C23C23×D414yes—
1749C23C2×H(5,𝔽2)12yes—
1750C23C2611yescharacteristic
1751Q8—28no—
1752Q8—48no—
1753Q8—48no—
1754Q8—48no—
1755Q8—44no—
1756Q8—84no—
1757D4—28no—
1758D4—48no—
1759D4—48no—
1760D4—44no—
1761D4—48no—
1762D4—416no—
1763D4—48no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—48no—
1768D4—88no—
1769D4—88no—
1770D4—88no—
1771D4—84no—
1772D4—84no—
1773D4—88no—
1774D4—84no—
1775D4—88no—
1776D4—88no—
1777D4—84no—
1778D4—84no—
1779D4—88no—
1780D4—88no—
1781D4—88no—
1782D4—84no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—164no—
1787D4—164no—
1788D4—164no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—28no—
1804C2×C4—216no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—24no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—416no—
1863C2×C4—48no—
1864C2×C4—48no—
1865C2×C4—416no—
1866C2×C4—44no—
1867C2×C4—48no—
1868C2×C4—48no—
1869C2×C4—416no—
1870C2×C4—44no—
1871C2×C4—44no—
1872C2×C4—48no—
1873C2×C4—48no—
1874C2×C4—48no—
1875C2×C4—44no—
1876C2×C4—84no—
1877C2×C4—82no—
1878C2×C4—88no—
1879C2×C4—88no—
1880C2×C4—88no—
1881C2×C4C23×D414yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D418yes—
1884C2×C4C23×D414yes—
1885C2×C4C23×D414yes—
1886C2×C4C23×D412yes—
1887C2×C4C23×D412yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4C2×H(5,𝔽2)12yes—
1890C2×C4#58512yes—
1891C2×C4#58512yes—
1892C2×C4#58512yes—
1893C2×C4#58512yes—
1894C22—24no—
1895C22—22no—
1896C22—24no—
1897C22—22no—
1898C22—24no—
1899C22—22no—
1900C22—41no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—41no—
1905C22—42no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—41no—
1914C22—44no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—41no—
1922C22—44no—
1923C22—42no—
1924C22—41no—
1925C22—42no—
1926C22—42no—
1927C22—44no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—44no—
1933C22—41no—
1934C22—42no—
1935C22—42no—
1936C22—44no—
1937C22—42no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—816no—
1944C22C24×D411yescharacteristic
1945C22C22×H(5,𝔽2)11yescharacteristic
1946C22C2×#58511yescharacteristic
1947C22C2×#58511yescharacteristic
1948C22C2×#58511yescharacteristic
1949C22C2×#58511yescharacteristic
1950C22H(7,𝔽2)11yescharacteristic
1951C4—22no—
1952C4—28no—
1953C4—24no—
1954C4—22no—
1955C4—22no—
1956C4—24no—
1957C4—24no—
1958C4—41no—
1959C4—42no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—41no—
1964C4—41no—
1965C4—42no—
1966C4—41no—
1967C4—44no—
1968C4—42no—
1969C4—42no—
1970C4—41no—
1971C4—42no—
1972C4—41no—
1973C4—42no—
1974C4—41no—
1975C4—44no—
1976C4—42no—
1977C4#348714yes—
1978C4#348814yes—
1979C2—44no—
1980C2—42no—
1981C2—81no—
1982C2—84no—
1983C2—82no—
1984C2—82no—
1985C2—82no—
1986C2#6275911yescharacteristic
1987C2C2×#348711yescharacteristic
1988C2C2×#348811yescharacteristic
1989C2#6293711yescharacteristic
1990C2#6295511yescharacteristic
1991C2#6298711yescharacteristic
1992C2#6303111yescharacteristic
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×#3475C2semidirect
3. #59652C2semidirect
4. #59083C2semidirect
5. #59079C2semidirect
6. #59056C2semidirect
7. #58999C2semidirect
8. #51887C2semidirect
9. #51782C2semidirect
10. #45766C2semidirect
11. #45412C2semidirect
12. #45236C2semidirect
13. #45071C2semidirect
14. #45064C2semidirect
15. #42483C2semidirect
16. #42476C2semidirect
17. #42438C2semidirect
18. #42433C2semidirect
19. #39747C2semidirect
20. #39727C2semidirect
21. #39471C2semidirect
22. #38956C2semidirect
23. #37785C2semidirect
24. #37775C2semidirect
25. #37657C2semidirect
26. #36455C2semidirect
27. #36426C2semidirect
28. #36410C2semidirect
29. #36150C2semidirect
30. #36101C2semidirect
31. #35156C2semidirect
32. #35150C2semidirect
33. #34720C2semidirect
34. #34681C2semidirect
35. #34484C2semidirect
37. C2×#562C22semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
51. C2×#550C22semidirect
53. C2×#547C22semidirect
54. C2×#547C22semidirect
57. C2×#540C22semidirect
58. C2×#537C22semidirect
59. C2×#537C22semidirect
60. C2×#537C22semidirect
62. C2×#533C22semidirect
64. C2×#532C22semidirect
74. #2858C22semidirect
75. #2857C22semidirect
77. #2856C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
80. #2853C22semidirect
84. #2733C22semidirect
85. #2730C22semidirect
87. #2725C22semidirect
88. #2723C22semidirect
89. #2714C22semidirect
90. #2714C22semidirect
91. #2714C22semidirect
92. #2714C22semidirect
93. #2710C22semidirect
95. #2705C22semidirect
96. #2705C22semidirect
100. #2703C22semidirect
101. #2703C22semidirect
102. #2703C22semidirect
103. #2702C22semidirect
104. #2702C22semidirect
105. #2696C22semidirect
106. #2694C22semidirect
107. #2690C22semidirect
108. #2682C22semidirect
110. #2681C22semidirect
113. #2673C22semidirect
118. #2635C22semidirect
119. #2630C22semidirect
122. #2619C22semidirect
126. #2615C22semidirect
128. #2582C22semidirect
129. #2568C22semidirect
130. #2560C22semidirect
131. #2548C22semidirect
132. #2547C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
144. #2537C22semidirect
145. #2536C22semidirect
146. #2504C22semidirect
147. #2492C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
152. #2489C22semidirect
153. #2487C22semidirect
154. #2481C22semidirect
156. #2477C22semidirect
157. #2477C22semidirect
158. #2476C22semidirect
159. #2476C22semidirect
160. #2476C22semidirect
161. #2475C22semidirect
164. #2471C22semidirect
165. #2470C22semidirect
167. #2464C22semidirect
168. #2464C22semidirect
170. #2463C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2455C22semidirect
177. #2454C22semidirect
178. #2453C22semidirect
180. #2452C22semidirect
181. #2448C22semidirect
182. #2446C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2441C22semidirect
192. #2439C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
201. #2429C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
215. #2426C22semidirect
216. #2426C22semidirect
220. #2421C22semidirect
221. #2421C22semidirect
223. #2416C22semidirect
227. #2415C22semidirect
228. #2415C22semidirect
229. #2415C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
256. #2378C22semidirect
257. #2370C22semidirect
258. #2369C22semidirect
259. #2367C22semidirect
260. #2367C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2363C22semidirect
266. #2362C22semidirect
268. #2361C22semidirect
272. #2352C22semidirect
273. Q8×C4⋊C4C22semidirect
274. #2344C22semidirect
275. #2341C22semidirect
276. #2341C22semidirect
277. #2330C22semidirect
278. #2326C22semidirect
279. #2323C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
285. #2311C22semidirect
286. C4×C4⋊Q8C22semidirect
288. C4×#124C22semidirect
290. C4×C22⋊Q8C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
296. #2297C22semidirect
297. #2295C22semidirect
299. #2290C22semidirect
315. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35482
C2×#34752
#596522
#590832
#590792
#590562
#589992
#518872
#517822
#457662
#454122
#452362
#450712
#450642
#424832
#424762
#424382
#424332
#397472
#397272
#394712
#389562
#377852
#377752
#376572
#364552
#364262
#364102
#361502
#361012
#351562
#351502
#347202
#346812
#344842