Finite Group Databasebeta

← #8425161

Subgroups — #8425161

Order 512.

5920 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59480C212yesmaximal, complemented
2#59450C211yesmaximal, characteristic, complemented
3#59035C211yesmaximal, characteristic, complemented
4#59033C211yesmaximal, characteristic, complemented
5#59003C212yesmaximal, complemented
6#55265C214yesmaximal, complemented
7#55105C214yesmaximal, complemented
8#53128C212yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#52977C212yesmaximal, complemented
11#52976C212yesmaximal, complemented
12#52662C214yesmaximal, complemented
13#42565C212yesmaximal, complemented
14#42438C212yesmaximal, complemented
15#42430C212yesmaximal, complemented
16#42422C212yesmaximal, complemented
17#41165C214yesmaximal, complemented
18#40153C212yesmaximal, complemented
19#39861C212yesmaximal, complemented
20#39416C212yesmaximal, complemented
21#39386C211yesmaximal, characteristic, complemented
22#39361C211yesmaximal, characteristic, complemented
23#39352C211yesmaximal, characteristic, complemented
24#39138C211yesmaximal, characteristic, complemented
25#37670C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37626C212yesmaximal, complemented
28#37616C211yesmaximal, characteristic, complemented
29#37448C212yesmaximal, complemented
30#36302C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32D4×#121C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#550C2212yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#546C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×D42C2212yes—
41C2×#540C2212yes—
42C2×#540C2212yescomplemented
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic, complemented
46C2×#529C2211yescharacteristic, complemented
47C2×#525C2212yescomplemented
48C2×#525C2212yescomplemented
49C22×#121C2212yes—
50C22×C4×D4C2211yescharacteristic
51#2867C2211yescharacteristic, complemented
52#2861C2212yescomplemented
53#2856C2211yescharacteristic
54#2856C2211yescharacteristic, complemented
55#2847C2212yes—
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2827C2214yescomplemented
62#2826C2214yescomplemented
63#2826C2214yescomplemented
64#2815C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2771C2214yescomplemented
71#2752C2214yescomplemented
72#2749C2214yescomplemented
73#2749C2214yescomplemented
74#2748C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2709C2214yescomplemented
78#2708C2214yescomplemented
79#2706C2214yescomplemented
80#2706C2214yescomplemented
81#2706C2214yescomplemented
82#2703C2214yescomplemented
83#2701C2214yescomplemented
84#2699C2214yescomplemented
85#2697C2214yescomplemented
86#2693C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2685C2214yescomplemented
90#2682C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2668C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2214yescomplemented
107#2661C2214yescomplemented
108#2651C2214yescomplemented
109#2636C2214yescomplemented
110#2635C2214yescomplemented
111#2635C2214yescomplemented
112#2635C2214yescomplemented
113#2629C2212yescomplemented
114#2625C2212yescomplemented
115#2624C2214yescomplemented
116#2624C2212yescomplemented
117#2624C2212yescomplemented
118#2620C2212yescomplemented
119#2620C2212yescomplemented
120#2620C2212yescomplemented
121#2620C2212yescomplemented
122#2619C2214yescomplemented
123#2619C2212yescomplemented
124#2619C2212yescomplemented
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2617C2214yescomplemented
128#2613C2214yescomplemented
129#2613C2214yescomplemented
130#2600C2214yescomplemented
131#2575C2214yescomplemented
132#2571C2212yescomplemented
133#2568C2211yescharacteristic, complemented
134#2566C2212yescomplemented
135#2552C2211yescharacteristic, complemented
136#2548C2212yescomplemented
137#2548C2211yescharacteristic, complemented
138#2547C2211yescharacteristic, complemented
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2543C2214yescomplemented
142#2542C2211yescharacteristic
143#2542C2211yescharacteristic, complemented
144#2541C2211yescharacteristic
145#2541C2211yescharacteristic
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2211yescharacteristic, complemented
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2540C2212yescomplemented
154#2540C2212yescomplemented
155#2539C2214yescomplemented
156#2537C2211yescharacteristic
157#2537C2212yescomplemented
158#2537C2212yescomplemented
159#2535C2212yescomplemented
160#2535C2212yescomplemented
161#2534C2214yescomplemented
162#2534C2214yescomplemented
163#2531C2212yescomplemented
164#2531C2214yescomplemented
165#2529C2212yescomplemented
166#2518C2212yescomplemented
167#2513C2212yescomplemented
168#2512C2211yescharacteristic, complemented
169#2511C2212yescomplemented
170#2507C2211yescharacteristic, complemented
171#2503C2212yescomplemented
172#2501C2212yescomplemented
173#2501C2212yescomplemented
174#2500C2211yescharacteristic
175#2500C2212yescomplemented
176#2497C2212yescomplemented
177#2495C2211yescharacteristic, complemented
178#2490C2212yescomplemented
179#2490C2212yescomplemented
180#2490C2212yescomplemented
181#2490C2211yescharacteristic, complemented
182#2489C2212yescomplemented
183#2485C2211yescharacteristic, complemented
184#2480C2212yescomplemented
185#2476C2214yescomplemented
186#2471C2214yescomplemented
187#2468C2212yescomplemented
188#2467C2212yescomplemented
189#2457C2214yescomplemented
190#2457C2212yescomplemented
191#2456C2214yescomplemented
192#2454C2211yescharacteristic
193#2454C2212yescomplemented
194#2447C2212yes—
195#2447C2212yescomplemented
196#2447C2211yescharacteristic, complemented
197#2445C2212yes—
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2444C2214yescomplemented
201#2444C2214yescomplemented
202#2442C2211yescharacteristic, complemented
203#2441C2211yescharacteristic, complemented
204#2435C2211yescharacteristic
205#2435C2212yescomplemented
206#2433C2212yes—
207#2433C2212yes—
208#2433C2214yescomplemented
209#2433C2212yescomplemented
210#2433C2212yescomplemented
211#2431C2212yes—
212#2431C2212yescomplemented
213#2431C2212yescomplemented
214#2431C2212yescomplemented
215#2431C2212yescomplemented
216#2428C2212yes—
217#2428C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2214yescomplemented
225#2428C2212yescomplemented
226#2427C2211yescharacteristic
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2426C2212yescomplemented
230#2425C2214yescomplemented
231#2424C2214yes—
232#2424C2214yescomplemented
233#2423C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2421C2212yescomplemented
237#2420C2214yescomplemented
238#2420C2212yescomplemented
239#2420C2211yescharacteristic, complemented
240#2418C2212yescomplemented
241#2418C2214yescomplemented
242#2417C2211yescharacteristic, complemented
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yescomplemented
246#2414C2211yescharacteristic
247#2411C2214yescomplemented
248#2410C2214yes—
249#2410C2214yescomplemented
250#2408C2211yescharacteristic
251#2408C2212yes—
252#2408C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2397C2214yescomplemented
259#2395C2212yescomplemented
260#2395C2212yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2366C2212yescomplemented
264#2366C2212yescomplemented
265#2366C2211yescharacteristic, complemented
266#2366C2211yescharacteristic, complemented
267#2363C2212yescomplemented
268#2360C2212yescomplemented
269#2358C2214yescomplemented
270#2357C2212yes—
271#2355C2211yescharacteristic, complemented
272#2354C2212yescomplemented
273D4×C4⋊C4C2211yescharacteristic
274#2339C2212yescomplemented
275#2339C2212yescomplemented
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2212yes—
278#2325C2214yescomplemented
279#2324C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2212yes—
282C4×#127C2212yescomplemented
283C4×#125C2211yescharacteristic, complemented
284C4×#126C2212yescomplemented
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291#2293C2212yescomplemented
292#2293C2211yescharacteristic, complemented
293#2293C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2280C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2314yes—
306C24×C4C2312yes—
307#550—44no—
308#550—48no—
309#546—48no—
310D42—44no—
311D42—48no—
312#540—48no—
313#540—48no—
314#535—48no—
315#532—44no—
316#532—44no—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2314yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332#529—44no—
333C2×#126C2312yes—
334C2×#126C2312yes—
335C2×#125C2311yescharacteristic
336C2×#125C2311yescharacteristic
337C2×#125C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344#525—48no—
345#525—48no—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×#121—48no—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2312yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×C4×Q8C2311yescharacteristic
414C2×C4×Q8C2312yes—
415C2×C4×D4—44no—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2314yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2312yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459#400C2314yes—
460#400C2312yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2312yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2312yes—
475#399C2312yes—
476#398C2312yes—
477#398C2314yes—
478#398C2312yes—
479#398C2314yes—
480#398C2312yes—
481#398C2314yes—
482#398C2312yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2312yes—
499#397C2312yes—
500#397C2312yes—
501#397C2312yes—
502#397C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
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#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2314yes—
624#390C2312yes—
625#390C2314yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
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#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#383C2312yes—
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2311yescharacteristic
752#382C2314yes—
753#382C2312yes—
754#382C2312yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2312yes—
760#381C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#379C2314yes—
781#379C2314yes—
782#379C2312yes—
783#379C2312yes—
784#379C2314yes—
785#379C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2314yes—
823C43C2312yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C2×#41—28no—
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×D4—24no—
839C22×D4—28no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—48no—
848C22×D4—48no—
849C22×D4—84no—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C23×C4—28no—
885C23×C4—44no—
886C23×C4—44no—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C4⋊Q8—24no—
906#127—28no—
907#127—24no—
908#127—24no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—44no—
917#127—48no—
918#127—84no—
919#127—82no—
920#126—44no—
921#126—44no—
922#125—24no—
923#125—42no—
924#125—44no—
925#124—24no—
926#124—42no—
927#124—44no—
928#124—44no—
929#124—44no—
930#124—44no—
931#123—48no—
932#123—48no—
933#123—48no—
934#123—48no—
935#123—44no—
936#123—48no—
937#123—48no—
938#123—48no—
939#123—84no—
940C22⋊Q8—28no—
941C22⋊Q8—42no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—42no—
946#121—24no—
947#121—24no—
948#121—28no—
949#121—28no—
950#121—24no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—42no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—48no—
978#121—44no—
979#121—44no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—82no—
984#121—84no—
985#121—82no—
986#120—48no—
987#120—44no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992#120—48no—
993#120—48no—
994#120—48no—
995#120—48no—
996#120—84no—
997C4×Q8—24no—
998C4×Q8—44no—
999C4×D4—28no—
1000C4×D4—24no—
1001C4×D4—28no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—44no—
1006C4×D4—48no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—44no—
1010C4×D4—42no—
1011C4×D4—48no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—42no—
1022C4×D4—48no—
1023C4×D4—48no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—48no—
1028#117—24no—
1029#117—24no—
1030#117—44no—
1031#117—44no—
1032#117—44no—
1033#117—44no—
1034#117—84no—
1035C2×C4⋊C4—42no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C22⋊C4—44no—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4—48no—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C42—24no—
1174C2×C42—24no—
1175C2×C42C2411yescharacteristic
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2412yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249C24—24no—
1250C24—24no—
1251C24—28no—
1252C24—42no—
1253C24—42no—
1254C24—42no—
1255C24—44no—
1256C24—42no—
1257C24—42no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24C2512yes—
1264C24C2512yes—
1265C24C2514yes—
1266C24C2514yes—
1267C24C2511yescharacteristic
1268C24C2512yes—
1269C24C2511yescharacteristic
1270#41—816no—
1271#41—816no—
1272#41—816no—
1273C2×Q8—22no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—24no—
1278C2×Q8—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—28no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—41no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
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—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
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—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—416no—
1381C2×D4—816no—
1382C2×D4—816no—
1383C2×D4—832no—
1384C2×D4H(5,𝔽2)14yes—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—28no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—44no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—42no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—816no—
1439C22×C4H(5,𝔽2)14yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2514yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—24no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—41no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4H(5,𝔽2)14yes—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—22no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—22no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—24no—
1613C42—24no—
1614C42—24no—
1615C42—22no—
1616C42—24no—
1617C42—22no—
1618C42—22no—
1619C42—42no—
1620C42—44no—
1621C42—44no—
1622C42—42no—
1623C42—41no—
1624C42H(5,𝔽2)14yes—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—22no—
1629C23—21no—
1630C23—21no—
1631C23—22no—
1632C23—21no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—24no—
1642C23—24no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—24no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—24no—
1652C23—21no—
1653C23—22no—
1654C23—21no—
1655C23—24no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—24no—
1661C23—22no—
1662C23—21no—
1663C23—24no—
1664C23—24no—
1665C23—24no—
1666C23—22no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—48no—
1673C23—48no—
1674C23—84no—
1675C23—84no—
1676C23—84no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—84no—
1681C23—84no—
1682C23—88no—
1683C23—88no—
1684C23—164no—
1685C23—164no—
1686C23C2×H(5,𝔽2)14yes—
1687C23C2×H(5,𝔽2)12yes—
1688C23C2611yescharacteristic
1689Q8—44no—
1690Q8—48no—
1691D4—28no—
1692D4—44no—
1693D4—48no—
1694D4—48no—
1695D4—44no—
1696D4—48no—
1697D4—48no—
1698D4—44no—
1699D4—48no—
1700D4—48no—
1701D4—88no—
1702D4—84no—
1703D4—88no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—88no—
1708D4—88no—
1709D4—88no—
1710D4—88no—
1711D4—88no—
1712D4—88no—
1713D4—84no—
1714D4—88no—
1715D4—88no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—164no—
1720D4—164no—
1721D4—164no—
1722D4—164no—
1723D4—164no—
1724D4—164no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—28no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—88no—
1807C2×C4—82no—
1808C2×C4—82no—
1809C2×C4—84no—
1810C2×C4—84no—
1811C2×C4—88no—
1812C2×C4—84no—
1813C2×C4—88no—
1814C2×C4—88no—
1815C2×C4—88no—
1816C2×C4—164no—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)14yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4#58512yes—
1826C2×C4#58512yes—
1827C22—22no—
1828C22—22no—
1829C22—24no—
1830C22—24no—
1831C22—22no—
1832C22—24no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—41no—
1837C22—42no—
1838C22—41no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—41no—
1843C22—44no—
1844C22—44no—
1845C22—42no—
1846C22—41no—
1847C22—44no—
1848C22—42no—
1849C22—44no—
1850C22—42no—
1851C22—44no—
1852C22—41no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—44no—
1859C22—44no—
1860C22—41no—
1861C22—44no—
1862C22—41no—
1863C22—42no—
1864C22—44no—
1865C22—42no—
1866C22—41no—
1867C22—44no—
1868C22—42no—
1869C22—44no—
1870C22—42no—
1871C22—42no—
1872C22—41no—
1873C22—44no—
1874C22—42no—
1875C22—44no—
1876C22—816no—
1877C22—1616no—
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×H(5,𝔽2)11yescharacteristic
1881C22C22×H(5,𝔽2)11yescharacteristic
1882C22C2×#58511yescharacteristic
1883C22C2×#58511yescharacteristic
1884C22H(7,𝔽2)11yescharacteristic
1885C4—22no—
1886C4—22no—
1887C4—24no—
1888C4—22no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—44no—
1893C4—42no—
1894C4—42no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—44no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—41no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4#354214yes—
1912C4#354314yes—
1913C2—42no—
1914C2—44no—
1915C2—81no—
1916C2—84no—
1917C2—82no—
1918C2—84no—
1919C2—82no—
1920C2C2×#354211yescharacteristic
1921C2C2×#354311yescharacteristic
1922C2#6274811yescharacteristic
1923C2#6291211yescharacteristic
1924C2#6292011yescharacteristic
1925C2#6295511yescharacteristic
1926C2#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. #59480C2semidirect
2. #59450C2semidirect
3. #59035C2semidirect
4. #59033C2semidirect
5. #59003C2semidirect
6. #55265C2semidirect
7. #55105C2semidirect
8. #53128C2semidirect
9. #53096C2semidirect
10. #52977C2semidirect
11. #52976C2semidirect
12. #52662C2semidirect
13. #42565C2semidirect
14. #42438C2semidirect
15. #42430C2semidirect
16. #42422C2semidirect
17. #41165C2semidirect
18. #40153C2semidirect
19. #39861C2semidirect
20. #39416C2semidirect
21. #39386C2semidirect
22. #39361C2semidirect
23. #39352C2semidirect
24. #39138C2semidirect
25. #37670C2semidirect
26. #37627C2semidirect
27. #37626C2semidirect
28. #37616C2semidirect
29. #37448C2semidirect
30. #36302C2semidirect
31. #36128C2semidirect
32. D4×#121C2semidirect
33. #34936C2semidirect
34. #34797C2semidirect
35. #34700C2semidirect
36. C2×#550C22semidirect
37. C2×#550C22semidirect
38. C2×#546C22semidirect
42. C2×#540C22semidirect
44. C2×#532C22semidirect
45. C2×#532C22semidirect
46. C2×#529C22semidirect
47. C2×#525C22semidirect
48. C2×#525C22semidirect
51. #2867C22semidirect
52. #2861C22semidirect
54. #2856C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2827C22semidirect
62. #2826C22semidirect
63. #2826C22semidirect
64. #2815C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2771C22semidirect
71. #2752C22semidirect
72. #2749C22semidirect
73. #2749C22semidirect
74. #2748C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2709C22semidirect
78. #2708C22semidirect
79. #2706C22semidirect
80. #2706C22semidirect
81. #2706C22semidirect
82. #2703C22semidirect
83. #2701C22semidirect
84. #2699C22semidirect
85. #2697C22semidirect
86. #2693C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2685C22semidirect
90. #2682C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2668C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2661C22semidirect
108. #2651C22semidirect
109. #2636C22semidirect
110. #2635C22semidirect
111. #2635C22semidirect
112. #2635C22semidirect
113. #2629C22semidirect
114. #2625C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2620C22semidirect
119. #2620C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
127. #2617C22semidirect
128. #2613C22semidirect
129. #2613C22semidirect
130. #2600C22semidirect
131. #2575C22semidirect
132. #2571C22semidirect
133. #2568C22semidirect
134. #2566C22semidirect
135. #2552C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2547C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2543C22semidirect
143. #2542C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2540C22semidirect
154. #2540C22semidirect
155. #2539C22semidirect
157. #2537C22semidirect
158. #2537C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2534C22semidirect
162. #2534C22semidirect
163. #2531C22semidirect
164. #2531C22semidirect
165. #2529C22semidirect
166. #2518C22semidirect
167. #2513C22semidirect
168. #2512C22semidirect
169. #2511C22semidirect
170. #2507C22semidirect
171. #2503C22semidirect
172. #2501C22semidirect
173. #2501C22semidirect
175. #2500C22semidirect
176. #2497C22semidirect
177. #2495C22semidirect
178. #2490C22semidirect
179. #2490C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
182. #2489C22semidirect
183. #2485C22semidirect
184. #2480C22semidirect
185. #2476C22semidirect
186. #2471C22semidirect
187. #2468C22semidirect
188. #2467C22semidirect
189. #2457C22semidirect
190. #2457C22semidirect
191. #2456C22semidirect
193. #2454C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2444C22semidirect
201. #2444C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
205. #2435C22semidirect
208. #2433C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2426C22semidirect
230. #2425C22semidirect
232. #2424C22semidirect
233. #2423C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
236. #2421C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
240. #2418C22semidirect
241. #2418C22semidirect
242. #2417C22semidirect
245. #2416C22semidirect
247. #2411C22semidirect
249. #2410C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2397C22semidirect
259. #2395C22semidirect
260. #2395C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2366C22semidirect
266. #2366C22semidirect
267. #2363C22semidirect
268. #2360C22semidirect
269. #2358C22semidirect
271. #2355C22semidirect
272. #2354C22semidirect
274. #2339C22semidirect
275. #2339C22semidirect
278. #2325C22semidirect
279. #2324C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×#126C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2285C22semidirect
296. #2280C22semidirect
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
#594802
#594502
#590352
#590332
#590032
#552652
#551052
#531282
#530962
#529772
#529762
#526622
#425652
#424382
#424302
#424222
#411652
#401532
#398612
#394162
#393862
#393612
#393522
#391382
#376702
#376272
#376262
#376162
#374482
#363022
#361282
D4×#1212
#349362
#347972
#347002