Finite Group Databasebeta

← #8424375

Subgroups — #8424375

Order 512.

6014 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59208C212yesmaximal, complemented
3#59124C211yesmaximal, characteristic, complemented
4#59051C211yesmaximal, characteristic, complemented
5#59003C212yesmaximal, complemented
6#55603C214yesmaximal, complemented
7#55581C214yesmaximal, complemented
8#53063C212yesmaximal, complemented
9#53059C212yesmaximal, complemented
10#53059C212yesmaximal, complemented
11#52973C212yesmaximal, complemented
12#52308C214yesmaximal, complemented
13#42876C212yesmaximal, complemented
14#42730C212yesmaximal, complemented
15#42617C212yesmaximal, complemented
16#42518C212yesmaximal, complemented
17#40537C214yesmaximal, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39466C212yesmaximal, complemented
20#39464C212yesmaximal, complemented
21#39387C211yesmaximal, characteristic, complemented
22#39138C211yesmaximal, characteristic, complemented
23#38956C211yesmaximal, characteristic, complemented
24#38024C212yesmaximal, complemented
25#37664C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37614C212yesmaximal, complemented
29#37448C212yesmaximal, complemented
30#36177C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#36100C211yesmaximal, characteristic, complemented
33C2×#2541C211yesmaximal, characteristic, complemented
34#34763C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic, complemented
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#542C2212yescomplemented
42C2×#532C2211yescharacteristic, complemented
43C22×#127C2211yescharacteristic
44C22×#127C2212yes—
45C2×#529C2212yes—
46C2×#529C2211yescharacteristic, complemented
47C2×#525C2212yes—
48C22×#121C2212yes—
49C22×#121C2212yes—
50C22×C4×D4C2211yescharacteristic
51#2858C2211yescharacteristic, complemented
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2855C2212yes—
55#2848C2212yes—
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2828C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2818C2214yescomplemented
64#2818C2214yescomplemented
65#2818C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2803C2214yescomplemented
71#2778C2214yescomplemented
72#2757C2214yescomplemented
73#2756C2214yescomplemented
74#2753C2214yescomplemented
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2730C2214yescomplemented
78#2714C2214yescomplemented
79#2709C2214yescomplemented
80#2709C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2707C2214yescomplemented
84#2705C2214yescomplemented
85#2705C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2691C2214yescomplemented
91#2691C2214yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2686C2214yescomplemented
96#2682C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2672C2214yescomplemented
107#2657C2214yescomplemented
108#2648C2214yescomplemented
109#2641C2214yescomplemented
110#2636C2214yescomplemented
111#2635C2214yescomplemented
112#2635C2214yescomplemented
113#2635C2214yescomplemented
114#2631C2214yescomplemented
115#2624C2212yescomplemented
116#2624C2212yescomplemented
117#2620C2212yescomplemented
118#2620C2212yescomplemented
119#2620C2212yescomplemented
120#2620C2212yescomplemented
121#2619C2212yescomplemented
122#2619C2212yescomplemented
123#2619C2212yescomplemented
124#2619C2212yescomplemented
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2613C2214yes—
128#2613C2214yes—
129#2613C2214yes—
130#2603C2214yescomplemented
131#2592C2212yescomplemented
132#2571C2211yescharacteristic, complemented
133#2568C2211yescharacteristic, complemented
134#2566C2212yescomplemented
135#2548C2212yescomplemented
136#2548C2212yescomplemented
137#2548C2211yescharacteristic, complemented
138#2544C2212yescomplemented
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2542C2211yescharacteristic, complemented
142#2541C2212yes—
143#2541C2214yes—
144#2541C2211yescharacteristic
145#2541C2212yes—
146#2541C2212yes—
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2212yescomplemented
155#2541C2211yescharacteristic, complemented
156#2538C2212yescomplemented
157#2537C2211yescharacteristic, complemented
158#2535C2212yescomplemented
159#2535C2212yescomplemented
160#2534C2214yes—
161#2534C2214yes—
162#2533C2214yescomplemented
163#2526C2214yescomplemented
164#2521C2212yescomplemented
165#2519C2212yescomplemented
166#2514C2212yescomplemented
167#2514C2212yescomplemented
168#2513C2212yescomplemented
169#2512C2211yescharacteristic, complemented
170#2512C2212yescomplemented
171#2509C2212yescomplemented
172#2506C2211yescharacteristic, complemented
173#2504C2212yescomplemented
174#2503C2212yes—
175#2501C2211yescharacteristic
176#2500C2212yescomplemented
177#2500C2212yescomplemented
178#2496C2211yescharacteristic, complemented
179#2493C2214yes—
180#2491C2212yescomplemented
181#2491C2211yescharacteristic, complemented
182#2490C2212yescomplemented
183#2488C2212yes—
184#2486C2211yescharacteristic
185#2483C2214yes—
186#2480C2214yes—
187#2480C2212yes—
188#2468C2212yescomplemented
189#2459C2214yescomplemented
190#2457C2212yescomplemented
191#2456C2214yescomplemented
192#2456C2214yescomplemented
193#2455C2214yescomplemented
194#2454C2211yescharacteristic, complemented
195#2447C2211yescharacteristic, complemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2442C2211yescharacteristic
202#2440C2211yescharacteristic
203#2437C2214yes—
204#2435C2212yes—
205#2435C2214yes—
206#2435C2211yescharacteristic
207#2433C2212yes—
208#2433C2214yes—
209#2431C2212yescomplemented
210#2431C2212yescomplemented
211#2431C2212yescomplemented
212#2431C2212yescomplemented
213#2431C2212yescomplemented
214#2431C2212yescomplemented
215#2431C2212yescomplemented
216#2428C2212yescomplemented
217#2428C2212yescomplemented
218#2428C2214yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2427C2212yescomplemented
226#2427C2211yescharacteristic, complemented
227#2426C2212yescomplemented
228#2426C2212yescomplemented
229#2425C2212yes—
230#2424C2214yes—
231#2422C2212yescomplemented
232#2422C2212yescomplemented
233#2420C2212yescomplemented
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2420C2211yescharacteristic, complemented
237#2418C2214yes—
238#2418C2212yes—
239#2417C2211yescharacteristic
240#2416C2211yescharacteristic
241#2416C2212yescomplemented
242#2415C2212yescomplemented
243#2414C2212yescomplemented
244#2412C2214yes—
245#2410C2214yes—
246#2410C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2211yescharacteristic
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2405C2214yes—
258#2396C2212yescomplemented
259#2395C2212yescomplemented
260#2395C2212yescomplemented
261#2392C2212yescomplemented
262C2×#392C2214yes—
263#2366C2211yescharacteristic, complemented
264#2365C2211yescharacteristic, complemented
265#2363C2212yescomplemented
266#2361C2212yescomplemented
267#2361C2212yescomplemented
268#2360C2212yes—
269#2358C2214yes—
270#2357C2212yescomplemented
271#2356C2212yescomplemented
272#2355C2211yescharacteristic, complemented
273#2354C2211yescharacteristic, complemented
274D4×C4⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2212yes—
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2311C2212yescomplemented
281#2308C2214yes—
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2293C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yes—
294#2285C2211yescharacteristic, complemented
295#2283C2212yes—
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2311yescharacteristic
305C23×D4C2314yes—
306C23×D4C2312yes—
307C23×D4C2314yes—
308C24×C4C2312yes—
309#550—44no—
310#550—48no—
311#547—44no—
312#546—48no—
313#546—48no—
314#542—48no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127—44no—
319C2×#127—48no—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2314yes—
323C2×#127C2314yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2314yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2314yes—
335#529—48no—
336#529—44no—
337C2×#126C2312yes—
338C2×#126C2312yes—
339C2×#126C2314yes—
340C2×#126C2312yes—
341C2×#125C2311yescharacteristic
342C2×#125C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2312yes—
349C2×#124C2311yescharacteristic
350C2×#124C2311yescharacteristic
351C2×#124C2314yes—
352#525—48no—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×#121—48no—
372C2×#121—48no—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#120C2314yes—
409C2×#120C2312yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×D4—44no—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2314yes—
456C22×C42C2312yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459#401C2314yes—
460#400C2314yes—
461#400C2312yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2312yes—
467#400C2312yes—
468#399C2314yes—
469#399C2312yes—
470#399C2312yes—
471#399C2312yes—
472#399C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2312yes—
507#395C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#393C2314yes—
556#393C2312yes—
557#392C2312yes—
558#392C2314yes—
559#392C2314yes—
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#392C2314yes—
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#392C2314yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2314yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#383C2314yes—
748#383C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#381C2312yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2312yes—
760#381C2312yes—
761#381C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#379C2312yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2312yes—
787#379C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822#376C2314yes—
823C2×#95C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C25C2412yes—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×D4—24no—
840C22×D4—28no—
841C22×D4—28no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4—44no—
845C22×D4—48no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—48no—
851C22×D4—48no—
852C22×D4—48no—
853C22×D4—44no—
854C22×D4—48no—
855C22×D4—82no—
856C22×D4—84no—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C23×C4—28no—
892C23×C4—44no—
893C23×C4—44no—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915#127—24no—
916#127—24no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—44no—
921#127—44no—
922#127—44no—
923#127—44no—
924#127—48no—
925#127—48no—
926#127—44no—
927#127—44no—
928#127—48no—
929#127—84no—
930#126—44no—
931#126—44no—
932#126—44no—
933#126—48no—
934#125—42no—
935#125—44no—
936#124—44no—
937#124—42no—
938#124—42no—
939#124—44no—
940#124—44no—
941#124—48no—
942#124—44no—
943#124—44no—
944#124—84no—
945#123—48no—
946#123—48no—
947#123—44no—
948#123—44no—
949#123—44no—
950#123—44no—
951#123—48no—
952#123—48no—
953#123—48no—
954#123—84no—
955C22⋊Q8—28no—
956C22⋊Q8—24no—
957C22⋊Q8—44no—
958C22⋊Q8—48no—
959C22⋊Q8—44no—
960C22⋊Q8—42no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963#121—24no—
964#121—28no—
965#121—28no—
966#121—24no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—48no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—48no—
981#121—48no—
982#121—44no—
983#121—44no—
984#121—42no—
985#121—44no—
986#121—44no—
987#121—42no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—84no—
996#121—84no—
997#121—82no—
998#120—44no—
999#120—48no—
1000#120—48no—
1001#120—48no—
1002#120—48no—
1003C4×Q8—28no—
1004C4×Q8—24no—
1005C4×Q8—44no—
1006C4×D4—24no—
1007C4×D4—28no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—44no—
1013C4×D4—48no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—48no—
1028C4×D4—42no—
1029C4×D4—48no—
1030C4×D4—82no—
1031#117—44no—
1032#117—44no—
1033#117—44no—
1034#117—44no—
1035#117—44no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C22⋊C4—44no—
1092C2×C22⋊C4—48no—
1093C2×C22⋊C4—48no—
1094C2×C22⋊C4—48no—
1095C2×C22⋊C4—48no—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C42—28no—
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2414yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
1202C2×C42C2411yescharacteristic
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253C24—24no—
1254C24—28no—
1255C24—28no—
1256C24—24no—
1257C24—24no—
1258C24—28no—
1259C24—42no—
1260C24—42no—
1261C24—42no—
1262C24—42no—
1263C24—44no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24C2512yes—
1268C24C2514yes—
1269C24C2512yes—
1270C24C2514yes—
1271C24C2511yescharacteristic
1272C24C2512yes—
1273C24C2511yescharacteristic
1274#41—816no—
1275#41—816no—
1276#41—816no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—22no—
1281C2×Q8—24no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—28no—
1313C2×D4—28no—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—28no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—416no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
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—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—816no—
1390C2×D4—816no—
1391C2×D4—816no—
1392C2×D4—832no—
1393C2×D4—832no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—42no—
1425C22×C4—41no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—41no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—41no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—816no—
1450C22×C4H(5,𝔽2)14yes—
1451C22×C4H(5,𝔽2)14yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2514yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2514yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—41no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4H(5,𝔽2)14yes—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—41no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C42—22no—
1613C42—24no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—24no—
1620C42—24no—
1621C42—24no—
1622C42—22no—
1623C42—22no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—22no—
1628C42—28no—
1629C42—22no—
1630C42—44no—
1631C42—41no—
1632C42—41no—
1633C42—44no—
1634C42H(5,𝔽2)14yes—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—24no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—24no—
1646C23—22no—
1647C23—21no—
1648C23—22no—
1649C23—24no—
1650C23—22no—
1651C23—24no—
1652C23—24no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—24no—
1658C23—22no—
1659C23—24no—
1660C23—24no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—22no—
1666C23—22no—
1667C23—21no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—24no—
1672C23—24no—
1673C23—22no—
1674C23—21no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—24no—
1679C23—22no—
1680C23—21no—
1681C23—48no—
1682C23—48no—
1683C23—48no—
1684C23—416no—
1685C23—84no—
1686C23—84no—
1687C23—84no—
1688C23—84no—
1689C23—88no—
1690C23—88no—
1691C23—88no—
1692C23—88no—
1693C23—88no—
1694C23—88no—
1695C23C2×H(5,𝔽2)12yes—
1696C23C2×H(5,𝔽2)12yes—
1697C23#58512yes—
1698C23C2611yescharacteristic
1699Q8—44no—
1700Q8—48no—
1701Q8—84no—
1702D4—48no—
1703D4—48no—
1704D4—44no—
1705D4—48no—
1706D4—44no—
1707D4—44no—
1708D4—48no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—84no—
1714D4—88no—
1715D4—88no—
1716D4—88no—
1717D4—84no—
1718D4—88no—
1719D4—88no—
1720D4—84no—
1721D4—84no—
1722D4—88no—
1723D4—88no—
1724D4—88no—
1725D4—88no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—88no—
1730D4—88no—
1731D4—88no—
1732D4—88no—
1733D4—164no—
1734D4—164no—
1735D4—164no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—28no—
1745C2×C4—28no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—48no—
1813C2×C4—44no—
1814C2×C4—48no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—44no—
1820C2×C4—82no—
1821C2×C4—84no—
1822C2×C4—84no—
1823C2×C4—84no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—88no—
1827C2×C4—164no—
1828C2×C4—164no—
1829C2×C4C2×H(5,𝔽2)12yes—
1830C2×C4C2×H(5,𝔽2)12yes—
1831C2×C4C2×H(5,𝔽2)14yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×H(5,𝔽2)12yes—
1836C2×C4C2×H(5,𝔽2)12yes—
1837C2×C4C2×H(5,𝔽2)12yes—
1838C2×C4#58512yes—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—44no—
1850C22—44no—
1851C22—41no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—44no—
1857C22—42no—
1858C22—41no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—44no—
1863C22—44no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—41no—
1868C22—42no—
1869C22—41no—
1870C22—44no—
1871C22—44no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—44no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—44no—
1880C22—42no—
1881C22—42no—
1882C22—41no—
1883C22—44no—
1884C22—42no—
1885C22—42no—
1886C22—44no—
1887C22—816no—
1888C22—1616no—
1889C22#354614yes—
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C22×H(5,𝔽2)11yescharacteristic
1892C22C22×H(5,𝔽2)11yescharacteristic
1893C22C22×H(5,𝔽2)11yescharacteristic
1894C22C2×#58511yescharacteristic
1895C22C2×#58511yescharacteristic
1896C22H(7,𝔽2)11yescharacteristic
1897C4—22no—
1898C4—24no—
1899C4—22no—
1900C4—22no—
1901C4—42no—
1902C4—41no—
1903C4—42no—
1904C4—44no—
1905C4—42no—
1906C4—42no—
1907C4—41no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—42no—
1918C4—41no—
1919C4—44no—
1920C4—41no—
1921C4—42no—
1922C4—42no—
1923C4#354214yes—
1924C4#354314yes—
1925C2—24no—
1926C2—81no—
1927C2—82no—
1928C2—82no—
1929C2—82no—
1930C2—84no—
1931C2—84no—
1932C2C2×#354211yescharacteristic
1933C2C2×#354311yescharacteristic
1934C2C2×#354611yescharacteristic
1935C2#6291211yescharacteristic
1936C2#6292411yescharacteristic
1937C2#6295511yescharacteristic
1938C2#6301911yescharacteristic
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. #59640C2semidirect
2. #59208C2semidirect
3. #59124C2semidirect
4. #59051C2semidirect
5. #59003C2semidirect
6. #55603C2semidirect
7. #55581C2semidirect
8. #53063C2semidirect
9. #53059C2semidirect
10. #53059C2semidirect
11. #52973C2semidirect
12. #52308C2semidirect
13. #42876C2semidirect
14. #42730C2semidirect
15. #42617C2semidirect
16. #42518C2semidirect
17. #40537C2semidirect
18. #39735C2semidirect
19. #39466C2semidirect
20. #39464C2semidirect
21. #39387C2semidirect
22. #39138C2semidirect
23. #38956C2semidirect
24. #38024C2semidirect
25. #37664C2semidirect
26. #37626C2semidirect
27. #37616C2semidirect
28. #37614C2semidirect
29. #37448C2semidirect
30. #36177C2semidirect
31. #36121C2semidirect
32. #36100C2semidirect
33. C2×#2541C2semidirect
34. #34763C2semidirect
35. #34700C2semidirect
36. C2×#550C22semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
41. C2×#542C22semidirect
42. C2×#532C22semidirect
46. C2×#529C22semidirect
51. #2858C22semidirect
53. #2856C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
58. #2828C22semidirect
59. #2826C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2818C22semidirect
64. #2818C22semidirect
65. #2818C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2803C22semidirect
71. #2778C22semidirect
72. #2757C22semidirect
73. #2756C22semidirect
74. #2753C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
77. #2730C22semidirect
78. #2714C22semidirect
79. #2709C22semidirect
80. #2709C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2707C22semidirect
84. #2705C22semidirect
85. #2705C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2691C22semidirect
91. #2691C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2686C22semidirect
96. #2682C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2672C22semidirect
107. #2657C22semidirect
108. #2648C22semidirect
109. #2641C22semidirect
110. #2636C22semidirect
111. #2635C22semidirect
112. #2635C22semidirect
113. #2635C22semidirect
114. #2631C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2620C22semidirect
118. #2620C22semidirect
119. #2620C22semidirect
120. #2620C22semidirect
121. #2619C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
130. #2603C22semidirect
131. #2592C22semidirect
132. #2571C22semidirect
133. #2568C22semidirect
134. #2566C22semidirect
135. #2548C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2544C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2542C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2538C22semidirect
157. #2537C22semidirect
158. #2535C22semidirect
159. #2535C22semidirect
162. #2533C22semidirect
163. #2526C22semidirect
164. #2521C22semidirect
165. #2519C22semidirect
166. #2514C22semidirect
167. #2514C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2512C22semidirect
171. #2509C22semidirect
172. #2506C22semidirect
173. #2504C22semidirect
176. #2500C22semidirect
177. #2500C22semidirect
178. #2496C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2490C22semidirect
188. #2468C22semidirect
189. #2459C22semidirect
190. #2457C22semidirect
191. #2456C22semidirect
192. #2456C22semidirect
193. #2455C22semidirect
194. #2454C22semidirect
195. #2447C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
209. #2431C22semidirect
210. #2431C22semidirect
211. #2431C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
226. #2427C22semidirect
227. #2426C22semidirect
228. #2426C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2420C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
241. #2416C22semidirect
242. #2415C22semidirect
243. #2414C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
258. #2396C22semidirect
259. #2395C22semidirect
260. #2395C22semidirect
261. #2392C22semidirect
263. #2366C22semidirect
264. #2365C22semidirect
265. #2363C22semidirect
266. #2361C22semidirect
267. #2361C22semidirect
270. #2357C22semidirect
271. #2356C22semidirect
272. #2355C22semidirect
273. #2354C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#124C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
294. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596402
#592082
#591242
#590512
#590032
#556032
#555812
#530632
#530592
#529732
#523082
#428762
#427302
#426172
#425182
#405372
#397352
#394662
#394642
#393872
#391382
#389562
#380242
#376642
#376262
#376162
#376142
#374482
#361772
#361212
#361002
C2×#25412
#347632
#347002