Finite Group Databasebeta

← #8458937

Subgroups — #8458937

Order 512.

6310 conjugacy classes of subgroups.

The subgroup lattice has 2011 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59051C211yesmaximal, characteristic, complemented
4#58934C214yesmaximal, complemented
5#57570C214yesmaximal, complemented
6#54942C214yesmaximal, complemented
7#53116C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#49849C214yesmaximal, complemented
10#46054C212yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#44927C212yesmaximal, complemented
13#44887C212yesmaximal, complemented
14#42963C212yesmaximal, complemented
15#42484C212yesmaximal, complemented
16#42438C212yesmaximal, complemented
17#42420C212yesmaximal, complemented
18#40150C212yesmaximal, complemented
19#39745C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39362C211yesmaximal, characteristic, complemented
22#39342C211yesmaximal, characteristic, complemented
23#39342C212yesmaximal, complemented
24#38942C211yesmaximal, characteristic, complemented
25#38285C212yesmaximal, complemented
26#37618C211yesmaximal, characteristic, complemented
27#37302C212yesmaximal, complemented
28#37273C212yesmaximal, complemented
29#36469C211yesmaximal, characteristic, complemented
30#36315C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35274C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×#550C2212yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yescomplemented
41C2×D42C2212yes—
42C2×D42C2212yes—
43C2×D42C2211yescharacteristic
44C2×#540C2212yescomplemented
45C2×#535C2212yescomplemented
46C2×#535C2212yescomplemented
47C2×#535C2212yescomplemented
48C2×#535C2212yescomplemented
49C2×#532C2211yescharacteristic, complemented
50C2×#532C2211yescharacteristic, complemented
51C2×#532C2212yescomplemented
52C2×#532C2211yescharacteristic, complemented
53C22×#127C2211yescharacteristic
54#2867C2212yescomplemented
55#2861C2212yescomplemented
56#2858C2211yescharacteristic
57#2858C2212yescomplemented
58#2857C2211yescharacteristic, complemented
59#2856C2211yescharacteristic
60#2856C2212yescomplemented
61#2854C2212yescomplemented
62#2854C2212yescomplemented
63#2828C2214yescomplemented
64#2828C2214yescomplemented
65#2824C2214yescomplemented
66#2819C2214yescomplemented
67#2815C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2812C2214yescomplemented
71#2803C2214yescomplemented
72#2784C2214yescomplemented
73#2756C2214yescomplemented
74#2753C2214yescomplemented
75#2753C2214yescomplemented
76#2733C2214yescomplemented
77#2733C2214yescomplemented
78#2731C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2706C2214yescomplemented
82#2703C2214yescomplemented
83#2703C2214yescomplemented
84#2699C2214yescomplemented
85#2686C2214yescomplemented
86#2684C2214yescomplemented
87#2684C2214yescomplemented
88#2684C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2675C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yes—
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2661C2214yescomplemented
121#2657C2214yescomplemented
122#2657C2214yescomplemented
123#2657C2212yescomplemented
124#2641C2212yescomplemented
125#2640C2212yescomplemented
126#2635C2214yescomplemented
127#2631C2214yescomplemented
128#2620C2212yescomplemented
129#2619C2214yescomplemented
130#2617C2214yescomplemented
131#2615C2212yes—
132#2615C2212yescomplemented
133#2615C2212yescomplemented
134#2615C2212yescomplemented
135#2613C2214yescomplemented
136#2610C2214yescomplemented
137#2602C2214yescomplemented
138#2592C2212yescomplemented
139#2557C2214yescomplemented
140#2555C2212yescomplemented
141#2555C2212yescomplemented
142#2552C2211yescharacteristic, complemented
143#2551C2211yescharacteristic, complemented
144#2548C2212yescomplemented
145#2548C2212yescomplemented
146#2547C2211yescharacteristic, complemented
147#2547C2211yescharacteristic, complemented
148#2544C2212yescomplemented
149#2544C2214yescomplemented
150#2544C2212yescomplemented
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2211yescharacteristic
156#2541C2214yescomplemented
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2541C2211yescharacteristic, complemented
160#2541C2211yescharacteristic, complemented
161#2541C2212yescomplemented
162#2541C2212yescomplemented
163#2541C2211yescharacteristic, complemented
164#2541C2212yescomplemented
165#2540C2212yescomplemented
166#2537C2212yescomplemented
167#2537C2211yescharacteristic, complemented
168#2537C2211yescharacteristic, complemented
169#2537C2212yescomplemented
170#2535C2212yescomplemented
171#2535C2212yescomplemented
172#2532C2212yescomplemented
173#2531C2214yescomplemented
174#2529C2214yescomplemented
175#2526C2212yescomplemented
176#2526C2214yescomplemented
177#2518C2212yescomplemented
178#2513C2211yescharacteristic, complemented
179#2508C2211yescharacteristic, complemented
180#2500C2211yescharacteristic
181#2500C2212yescomplemented
182#2497C2212yescomplemented
183#2497C2211yescharacteristic, complemented
184#2492C2212yescomplemented
185#2491C2212yescomplemented
186#2491C2211yescharacteristic, complemented
187#2491C2212yescomplemented
188#2491C2211yescharacteristic, complemented
189#2491C2212yescomplemented
190#2491C2214yescomplemented
191#2491C2211yescharacteristic, complemented
192#2490C2212yescomplemented
193#2490C2212yescomplemented
194#2489C2212yescomplemented
195#2487C2212yescomplemented
196#2485C2211yescharacteristic, complemented
197#2485C2212yescomplemented
198#2474C2214yescomplemented
199#2464C2214yescomplemented
200#2464C2214yescomplemented
201#2459C2212yescomplemented
202#2456C2214yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2439C2211yescharacteristic, complemented
206#2435C2212yescomplemented
207#2435C2212yescomplemented
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yescomplemented
211#2433C2214yescomplemented
212#2433C2214yescomplemented
213#2433C2212yescomplemented
214#2433C2212yescomplemented
215#2431C2212yescomplemented
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2431C2212yescomplemented
219#2431C2212yescomplemented
220#2431C2212yescomplemented
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2428C2212yes—
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2211yescharacteristic, complemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2426C2212yes—
233#2426C2212yescomplemented
234#2424C2214yescomplemented
235#2422C2212yescomplemented
236#2422C2212yescomplemented
237#2420C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2414C2211yescharacteristic
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2414C2214yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2411C2214yescomplemented
249#2410C2214yescomplemented
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2214yescomplemented
258#2408C2212yescomplemented
259#2407C2212yescomplemented
260#2407C2212yescomplemented
261#2403C2214yes—
262#2398C2212yescomplemented
263#2392C2212yescomplemented
264#2388C2212yescomplemented
265#2388C2212yescomplemented
266#2375C2214yescomplemented
267#2367C2212yescomplemented
268#2366C2211yescharacteristic
269#2365C2211yescharacteristic, complemented
270#2361C2212yescomplemented
271#2354C2211yescharacteristic, complemented
272#2354C2212yescomplemented
273#2354C2212yescomplemented
274#2354C2211yescharacteristic, complemented
275#2346C2212yescomplemented
276D4×C22⋊C4C2212yescomplemented
277D4×C22⋊C4C2212yescomplemented
278#2328C2214yescomplemented
279#2324C2212yescomplemented
280#2319C2212yescomplemented
281#2311C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2211yescharacteristic, complemented
292#2298C2212yescomplemented
293#2295C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2314yes—
309#559—48no—
310#555—48no—
311#550—48no—
312#547—44no—
313#546—48no—
314D42—44no—
315D42—48no—
316D42—48no—
317#540—48no—
318#535—48no—
319#535—48no—
320#535—48no—
321#535—48no—
322#532—44no—
323#532—44no—
324#532—44no—
325#532—48no—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2312yes—
331C2×#127—44no—
332C2×#127C2311yescharacteristic
333C2×#127C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2314yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2311yescharacteristic
339C2×#127C2312yes—
340C2×#127C2314yes—
341C2×#127C2314yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2314yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2314yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2314yes—
353C2×#125C2312yes—
354C2×#124C2312yes—
355C2×#124C2314yes—
356C2×#124C2314yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2314yes—
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2311yescharacteristic
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2314yes—
478C22×C4⋊C4C2312yes—
479C22×C22⋊C4C2314yes—
480C22×C42C2311yescharacteristic
481C22×C42C2311yescharacteristic
482C22×C42C2312yes—
483#400C2312yes—
484#400C2314yes—
485#400C2314yes—
486#400C2312yes—
487#399C2314yes—
488#398C2312yes—
489#398C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#395C2312yes—
508#395C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#393C2312yes—
552#393C2312yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2312yes—
559#393C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2312yes—
593#392C2312yes—
594#392C2312yes—
595#392C2312yes—
596#392C2312yes—
597#392C2312yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#391C2312yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2311yescharacteristic
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2314yes—
652#390C2314yes—
653#390C2314yes—
654#390C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2312yes—
658#390C2311yescharacteristic
659#390C2312yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2311yescharacteristic
674#389C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#383C2312yes—
758#382C2314yes—
759#382C2312yes—
760#382C2311yescharacteristic
761#382C2311yescharacteristic
762#381C2314yes—
763#381C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2312yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823#376C2312yes—
824#376C2314yes—
825#376C2312yes—
826C43C2311yescharacteristic
827C43C2312yes—
828C25C2414yes—
829C25C2414yes—
830C2×#41—28no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8C2412yes—
843C22×Q8C2412yes—
844C22×Q8C2412yes—
845C22×Q8C2412yes—
846C22×D4—28no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4—48no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4—48no—
862C22×D4—82no—
863C22×D4—84no—
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—42no—
929C4⋊Q8—42no—
930C4⋊Q8—44no—
931#127—24no—
932#127—24no—
933#127—24no—
934#127—44no—
935#127—44no—
936#127—44no—
937#127—48no—
938#127—42no—
939#127—42no—
940#127—48no—
941#127—48no—
942#127—48no—
943#127—44no—
944#127—44no—
945#127—44no—
946#127—44no—
947#127—48no—
948#127—44no—
949#127—44no—
950#127—44no—
951#127—84no—
952#125—44no—
953#124—28no—
954#124—44no—
955#124—44no—
956#124—44no—
957#124—48no—
958#124—48no—
959#124—48no—
960#124—44no—
961#124—48no—
962#124—44no—
963#124—48no—
964#124—44no—
965#124—44no—
966#124—44no—
967#124—44no—
968#124—48no—
969#123—48no—
970#123—48no—
971#123—48no—
972#123—48no—
973#123—48no—
974#123—48no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977#121—24no—
978#121—24no—
979#121—28no—
980#121—28no—
981#121—24no—
982#121—28no—
983#121—24no—
984#121—44no—
985#121—44no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—48no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—48no—
994#121—48no—
995#121—48no—
996#121—48no—
997#121—48no—
998#121—48no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—42no—
1003#121—42no—
1004#121—42no—
1005#121—42no—
1006#121—44no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—84no—
1024#121—82no—
1025#121—84no—
1026#121—84no—
1027#120—48no—
1028#120—48no—
1029#120—48no—
1030#120—48no—
1031#120—48no—
1032#120—48no—
1033#120—48no—
1034#120—48no—
1035#120—48no—
1036#120—48no—
1037#120—48no—
1038#120—48no—
1039#120—48no—
1040#120—48no—
1041#120—48no—
1042#120—84no—
1043C4×Q8—28no—
1044C4×Q8—44no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—48no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—48no—
1069C4×D4—42no—
1070C4×D4—82no—
1071#117—24no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—48no—
1076#117—44no—
1077C2×C4⋊C4—44no—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C22⋊C4—48no—
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C42—24no—
1205C2×C42—24no—
1206C2×C42—44no—
1207C2×C42C2414yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2412yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2411yescharacteristic
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2411yescharacteristic
1251#95C2412yes—
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277C24—28no—
1278C24—44no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24—44no—
1284C24—44no—
1285C24—44no—
1286C24—44no—
1287C24—44no—
1288C24—44no—
1289C24—44no—
1290C24—44no—
1291C24C2512yes—
1292C24C2514yes—
1293C24C2512yes—
1294C24C2514yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2512yes—
1298C24C2511yescharacteristic
1299#41—816no—
1300#41—816no—
1301#41—816no—
1302#41—816no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—42no—
1309C2×Q8—42no—
1310C2×Q8—42no—
1311C2×Q8—42no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—24no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—28no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—42no—
1360C2×D4—41no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—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—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—816no—
1454C2×D4—816no—
1455C2×D4—816no—
1456C2×D4—816no—
1457C2×D4—816no—
1458C2×D4—832no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—28no—
1486C22×C4—24no—
1487C22×C4—28no—
1488C22×C4—24no—
1489C22×C4—41no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—41no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—42no—
1503C22×C4—41no—
1504C22×C4—42no—
1505C22×C4—44no—
1506C22×C4H(5,𝔽2)14yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2514yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2514yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—28no—
1555C4⋊C4—22no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4H(5,𝔽2)14yes—
1574C4⋊C4H(5,𝔽2)14yes—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—22no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—41no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—22no—
1664C42—22no—
1665C42—22no—
1666C42—24no—
1667C42—28no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—22no—
1673C42—22no—
1674C42—28no—
1675C42—24no—
1676C42—24no—
1677C42—42no—
1678C42—42no—
1679C42—44no—
1680C42—41no—
1681C42—41no—
1682C42—42no—
1683C42H(5,𝔽2)14yes—
1684C42H(5,𝔽2)14yes—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—22no—
1692C23—24no—
1693C23—22no—
1694C23—22no—
1695C23—24no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—24no—
1701C23—24no—
1702C23—22no—
1703C23—22no—
1704C23—24no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—22no—
1709C23—24no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—24no—
1715C23—24no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—24no—
1720C23—24no—
1721C23—21no—
1722C23—22no—
1723C23—22no—
1724C23—21no—
1725C23—22no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—22no—
1732C23—24no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—24no—
1738C23—24no—
1739C23—22no—
1740C23—88no—
1741C23—88no—
1742C23—88no—
1743C23—88no—
1744C23—88no—
1745C23—88no—
1746C23—88no—
1747C23—88no—
1748C23—164no—
1749C23—164no—
1750C23—164no—
1751C23—164no—
1752C23—164no—
1753C23—164no—
1754C23C2×H(5,𝔽2)12yes—
1755C23C2611yescharacteristic
1756Q8—48no—
1757Q8—84no—
1758Q8—84no—
1759Q8—84no—
1760D4—44no—
1761D4—48no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—44no—
1766D4—48no—
1767D4—44no—
1768D4—44no—
1769D4—48no—
1770D4—48no—
1771D4—44no—
1772D4—88no—
1773D4—88no—
1774D4—84no—
1775D4—84no—
1776D4—84no—
1777D4—84no—
1778D4—84no—
1779D4—88no—
1780D4—88no—
1781D4—84no—
1782D4—88no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—84no—
1787D4—88no—
1788D4—88no—
1789D4—88no—
1790D4—88no—
1791D4—84no—
1792D4—84no—
1793D4—84no—
1794D4—88no—
1795D4—88no—
1796D4—164no—
1797D4—164no—
1798D4—164no—
1799D4—164no—
1800D4—164no—
1801D4—164no—
1802D4—164no—
1803D4—164no—
1804D4—164no—
1805D4—164no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—28no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—24no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—24no—
1874C2×C4—22no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—44no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—44no—
1883C2×C4—84no—
1884C2×C4—84no—
1885C2×C4—88no—
1886C2×C4—82no—
1887C2×C4—88no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4C2×H(5,𝔽2)14yes—
1891C2×C4C2×H(5,𝔽2)12yes—
1892C2×C4C2×H(5,𝔽2)14yes—
1893C2×C4C2×H(5,𝔽2)12yes—
1894C2×C4C2×H(5,𝔽2)12yes—
1895C2×C4C2×H(5,𝔽2)12yes—
1896C2×C4C2×H(5,𝔽2)12yes—
1897C2×C4C2×H(5,𝔽2)12yes—
1898C2×C4C2×H(5,𝔽2)12yes—
1899C2×C4C2×H(5,𝔽2)12yes—
1900C2×C4C2×H(5,𝔽2)12yes—
1901C2×C4C2×H(5,𝔽2)12yes—
1902C2×C4#58512yes—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—44no—
1915C22—42no—
1916C22—44no—
1917C22—41no—
1918C22—42no—
1919C22—42no—
1920C22—44no—
1921C22—44no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—41no—
1927C22—44no—
1928C22—44no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—42no—
1935C22—44no—
1936C22—42no—
1937C22—44no—
1938C22—42no—
1939C22—44no—
1940C22—42no—
1941C22—42no—
1942C22—44no—
1943C22—41no—
1944C22—42no—
1945C22—44no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—41no—
1950C22—44no—
1951C22—42no—
1952C22—41no—
1953C22—44no—
1954C22—42no—
1955C22—44no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—1616no—
1960C22—1616no—
1961C22C22×H(5,𝔽2)11yescharacteristic
1962C22C22×H(5,𝔽2)11yescharacteristic
1963C22C22×H(5,𝔽2)11yescharacteristic
1964C22C22×H(5,𝔽2)11yescharacteristic
1965C22C22×H(5,𝔽2)11yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22H(7,𝔽2)11yescharacteristic
1968C4—22no—
1969C4—24no—
1970C4—22no—
1971C4—24no—
1972C4—22no—
1973C4—22no—
1974C4—22no—
1975C4—42no—
1976C4—41no—
1977C4—42no—
1978C4—42no—
1979C4—41no—
1980C4—42no—
1981C4—41no—
1982C4—44no—
1983C4—42no—
1984C4—41no—
1985C4—42no—
1986C4—42no—
1987C4—41no—
1988C4—42no—
1989C4—42no—
1990C4—44no—
1991C4—42no—
1992C4—41no—
1993C4#354314yes—
1994C4#354914yes—
1995C2—42no—
1996C2—81no—
1997C2—82no—
1998C2—82no—
1999C2—84no—
2000C2—82no—
2001C2—82no—
2002C2—84no—
2003C2C2×#354311yescharacteristic
2004C2C2×#354911yescharacteristic
2005C2#6283411yescharacteristic
2006C2#6291211yescharacteristic
2007C2#6291611yescharacteristic
2008C2#6292411yescharacteristic
2009C2#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. #59822C2semidirect
2. #59126C2semidirect
3. #59051C2semidirect
4. #58934C2semidirect
5. #57570C2semidirect
6. #54942C2semidirect
7. #53116C2semidirect
8. #52957C2semidirect
9. #49849C2semidirect
10. #46054C2semidirect
11. #45655C2semidirect
12. #44927C2semidirect
13. #44887C2semidirect
14. #42963C2semidirect
15. #42484C2semidirect
16. #42438C2semidirect
17. #42420C2semidirect
18. #40150C2semidirect
19. #39745C2semidirect
20. #39471C2semidirect
21. #39362C2semidirect
22. #39342C2semidirect
23. #39342C2semidirect
24. #38942C2semidirect
25. #38285C2semidirect
26. #37618C2semidirect
27. #37302C2semidirect
28. #37273C2semidirect
29. #36469C2semidirect
30. #36315C2semidirect
31. #36121C2semidirect
32. #35274C2semidirect
33. #35171C2semidirect
34. #34925C2semidirect
35. #34800C2semidirect
36. C2×#559C22semidirect
37. C2×#555C22semidirect
38. C2×#550C22semidirect
39. C2×#547C22semidirect
40. C2×#546C22semidirect
44. C2×#540C22semidirect
45. C2×#535C22semidirect
46. C2×#535C22semidirect
47. C2×#535C22semidirect
48. C2×#535C22semidirect
49. C2×#532C22semidirect
50. C2×#532C22semidirect
51. C2×#532C22semidirect
52. C2×#532C22semidirect
54. #2867C22semidirect
55. #2861C22semidirect
57. #2858C22semidirect
58. #2857C22semidirect
60. #2856C22semidirect
61. #2854C22semidirect
62. #2854C22semidirect
63. #2828C22semidirect
64. #2828C22semidirect
65. #2824C22semidirect
66. #2819C22semidirect
67. #2815C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2812C22semidirect
71. #2803C22semidirect
72. #2784C22semidirect
73. #2756C22semidirect
74. #2753C22semidirect
75. #2753C22semidirect
76. #2733C22semidirect
77. #2733C22semidirect
78. #2731C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2706C22semidirect
82. #2703C22semidirect
83. #2703C22semidirect
84. #2699C22semidirect
85. #2686C22semidirect
86. #2684C22semidirect
87. #2684C22semidirect
88. #2684C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2675C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2661C22semidirect
121. #2657C22semidirect
122. #2657C22semidirect
123. #2657C22semidirect
124. #2641C22semidirect
125. #2640C22semidirect
126. #2635C22semidirect
127. #2631C22semidirect
128. #2620C22semidirect
129. #2619C22semidirect
130. #2617C22semidirect
132. #2615C22semidirect
133. #2615C22semidirect
134. #2615C22semidirect
135. #2613C22semidirect
136. #2610C22semidirect
137. #2602C22semidirect
138. #2592C22semidirect
139. #2557C22semidirect
140. #2555C22semidirect
141. #2555C22semidirect
142. #2552C22semidirect
143. #2551C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2547C22semidirect
147. #2547C22semidirect
148. #2544C22semidirect
149. #2544C22semidirect
150. #2544C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2541C22semidirect
165. #2540C22semidirect
166. #2537C22semidirect
167. #2537C22semidirect
168. #2537C22semidirect
169. #2537C22semidirect
170. #2535C22semidirect
171. #2535C22semidirect
172. #2532C22semidirect
173. #2531C22semidirect
174. #2529C22semidirect
175. #2526C22semidirect
176. #2526C22semidirect
177. #2518C22semidirect
178. #2513C22semidirect
179. #2508C22semidirect
181. #2500C22semidirect
182. #2497C22semidirect
183. #2497C22semidirect
184. #2492C22semidirect
185. #2491C22semidirect
186. #2491C22semidirect
187. #2491C22semidirect
188. #2491C22semidirect
189. #2491C22semidirect
190. #2491C22semidirect
191. #2491C22semidirect
192. #2490C22semidirect
193. #2490C22semidirect
194. #2489C22semidirect
195. #2487C22semidirect
196. #2485C22semidirect
197. #2485C22semidirect
198. #2474C22semidirect
199. #2464C22semidirect
200. #2464C22semidirect
201. #2459C22semidirect
202. #2456C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2439C22semidirect
206. #2435C22semidirect
207. #2435C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2433C22semidirect
213. #2433C22semidirect
214. #2433C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
233. #2426C22semidirect
234. #2424C22semidirect
235. #2422C22semidirect
236. #2422C22semidirect
237. #2420C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2411C22semidirect
249. #2410C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
258. #2408C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
262. #2398C22semidirect
263. #2392C22semidirect
264. #2388C22semidirect
265. #2388C22semidirect
266. #2375C22semidirect
267. #2367C22semidirect
269. #2365C22semidirect
270. #2361C22semidirect
271. #2354C22semidirect
272. #2354C22semidirect
273. #2354C22semidirect
274. #2354C22semidirect
275. #2346C22semidirect
276. D4×C22⋊C4C22semidirect
277. D4×C22⋊C4C22semidirect
278. #2328C22semidirect
279. #2324C22semidirect
280. #2319C22semidirect
281. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#124C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2298C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#591262
#590512
#589342
#575702
#549422
#531162
#529572
#498492
#460542
#456552
#449272
#448872
#429632
#424842
#424382
#424202
#401502
#397452
#394712
#393622
#393422
#389422
#382852
#376182
#373022
#372732
#364692
#363152
#361212
#352742
#351712
#349252
#348002