Finite Group Databasebeta

← #8424652

Subgroups — #8424652

Order 512.

6445 conjugacy classes of subgroups.

The subgroup lattice has 1978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59408C212yesmaximal, complemented
3#59131C212yesmaximal, complemented
4#59126C211yesmaximal, characteristic, complemented
5#59124C211yesmaximal, characteristic, complemented
6#53499C214yesmaximal, complemented
7#53483C214yesmaximal, complemented
8#53000C212yesmaximal, complemented
9#52986C212yesmaximal, complemented
10#52977C212yesmaximal, complemented
11#52973C212yesmaximal, complemented
12#52313C214yesmaximal, complemented
13#42977C212yesmaximal, complemented
14#42966C212yesmaximal, complemented
15#42895C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#40486C214yesmaximal, complemented
18#39770C211yesmaximal, characteristic, complemented
19#39361C211yesmaximal, characteristic, complemented
20#39358C212yesmaximal, complemented
21#39358C212yesmaximal, complemented
22#39147C211yesmaximal, characteristic, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38080C212yesmaximal, complemented
25#37677C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37614C211yesmaximal, characteristic, complemented
28#37493C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#36596C211yesmaximal, characteristic, complemented
31#36576C211yesmaximal, characteristic, complemented
32D4×#127C211yesmaximal, characteristic, complemented
33C2×#2548C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34708C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#548C2212yescomplemented
39C2×#546C2212yescomplemented
40C2×D42C2212yescomplemented
41C2×D42C2212yescomplemented
42C2×D42C2212yescomplemented
43C2×D42C2212yescomplemented
44C2×D42C2212yescomplemented
45C2×D42C2211yescharacteristic, complemented
46C2×#535C2212yescomplemented
47C2×#534C2214yescomplemented
48C22×#127C2211yescharacteristic
49C22×#127C2211yescharacteristic, complemented
50C2×#529C2211yescharacteristic, complemented
51C22×#124C2212yescomplemented
52C22×C4×Q8C2211yescharacteristic, complemented
53#2867C2211yescharacteristic
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic, complemented
56#2856C2212yescomplemented
57#2856C2212yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2828C2214yescomplemented
63#2828C2214yescomplemented
64#2828C2214yescomplemented
65#2826C2214yescomplemented
66#2825C2214yescomplemented
67#2818C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2812C2214yescomplemented
71#2812C2214yescomplemented
72#2803C2214yescomplemented
73#2778C2214yescomplemented
74#2757C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2709C2214yescomplemented
78#2709C2214yescomplemented
79#2708C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yescomplemented
82#2697C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2682C2214yescomplemented
86#2682C2214yescomplemented
87#2679C2214yescomplemented
88#2679C2214yescomplemented
89#2679C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2673C2214yescomplemented
101#2672C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2668C2214yescomplemented
109#2661C2214yescomplemented
110#2661C2214yescomplemented
111#2661C2214yescomplemented
112#2657C2212yescomplemented
113#2648C2214yescomplemented
114#2648C2214yescomplemented
115#2644C2212yescomplemented
116#2644C2212yescomplemented
117#2641C2212yescomplemented
118#2641C2212yescomplemented
119#2641C2212yescomplemented
120#2630C2214yescomplemented
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2622C2214yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2619C2212yescomplemented
128#2617C2214yescomplemented
129#2617C2214yescomplemented
130#2617C2214yescomplemented
131#2613C2214yescomplemented
132#2602C2214yescomplemented
133#2566C2212yescomplemented
134#2559C2214yescomplemented
135#2555C2214yescomplemented
136#2554C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2548C2212yescomplemented
139#2548C2212yescomplemented
140#2548C2212yescomplemented
141#2548C2211yescharacteristic, complemented
142#2548C2211yescharacteristic, complemented
143#2548C2212yescomplemented
144#2548C2211yescharacteristic, complemented
145#2548C2214yescomplemented
146#2548C2212yescomplemented
147#2548C2211yescharacteristic, complemented
148#2548C2211yescharacteristic, complemented
149#2548C2212yescomplemented
150#2544C2212yescomplemented
151#2544C2212yescomplemented
152#2543C2214yescomplemented
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yescomplemented
156#2541C2212yescomplemented
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2541C2211yescharacteristic, complemented
160#2540C2212yescomplemented
161#2539C2214yescomplemented
162#2538C2212yescomplemented
163#2538C2211yescharacteristic, complemented
164#2525C2212yescomplemented
165#2516C2212yescomplemented
166#2513C2212yescomplemented
167#2513C2212yescomplemented
168#2513C2211yescharacteristic, complemented
169#2512C2212yescomplemented
170#2510C2212yescomplemented
171#2509C2211yescharacteristic, complemented
172#2504C2211yescharacteristic, complemented
173#2500C2212yescomplemented
174#2494C2211yescharacteristic, complemented
175#2490C2212yescomplemented
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2211yescharacteristic, complemented
179#2490C2212yescomplemented
180#2487C2211yescharacteristic, complemented
181#2481C2212yescomplemented
182#2472C2214yescomplemented
183#2469C2212yescomplemented
184#2458C2212yescomplemented
185#2454C2212yescomplemented
186#2453C2211yescharacteristic, complemented
187#2448C2211yescharacteristic, complemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2212yescomplemented
196#2444C2212yescomplemented
197#2443C2212yescomplemented
198#2442C2211yescharacteristic, complemented
199#2442C2211yescharacteristic, complemented
200#2436C2211yescharacteristic, complemented
201#2435C2212yescomplemented
202#2435C2212yescomplemented
203#2433C2212yescomplemented
204#2433C2212yescomplemented
205#2433C2212yescomplemented
206#2433C2212yescomplemented
207#2433C2212yescomplemented
208#2433C2212yescomplemented
209#2433C2212yescomplemented
210#2433C2212yescomplemented
211#2433C2212yescomplemented
212#2433C2212yescomplemented
213#2433C2212yescomplemented
214#2433C2212yescomplemented
215#2433C2212yescomplemented
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2427C2212yescomplemented
224#2426C2212yescomplemented
225#2426C2211yescharacteristic, complemented
226#2426C2212yescomplemented
227#2426C2214yescomplemented
228#2424C2214yescomplemented
229#2424C2214yescomplemented
230#2424C2214yescomplemented
231#2424C2214yescomplemented
232#2422C2212yescomplemented
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2421C2211yescharacteristic, complemented
237#2418C2214yescomplemented
238#2418C2214yescomplemented
239#2416C2211yescharacteristic
240#2416C2211yescharacteristic
241#2416C2214yescomplemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2414C2212yescomplemented
245#2410C2214yescomplemented
246#2410C2214yescomplemented
247#2410C2214yescomplemented
248#2410C2214yescomplemented
249#2410C2214yescomplemented
250#2410C2214yescomplemented
251#2409C2211yescharacteristic, complemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2408C2212yescomplemented
259#2403C2214yescomplemented
260#2401C2212yescomplemented
261#2398C2212yescomplemented
262#2396C2212yescomplemented
263#2395C2212yescomplemented
264C2×#394C2214yescomplemented
265#2367C2212yescomplemented
266#2366C2211yescharacteristic, complemented
267#2366C2211yescharacteristic, complemented
268#2363C2212yescomplemented
269#2363C2212yescomplemented
270#2354C2211yescharacteristic, complemented
271Q8×C4⋊C4C2211yescharacteristic, complemented
272#2341C2212yescomplemented
273D4×C22⋊C4C2214yescomplemented
274D4×C22⋊C4C2212yescomplemented
275#2328C2212yescomplemented
276#2326C2212yescomplemented
277#2309C2212yescomplemented
278C4×#127C2211yescharacteristic, complemented
279C4×#125C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289#2295C2211yescharacteristic, complemented
290#2293C2211yescharacteristic, complemented
291C2×#390C2212yescomplemented
292C2×#390C2212yescomplemented
293C2×#390C2212yescomplemented
294#2290C2212yescomplemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301C23×D4C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2314yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311#553—48no—
312#550—44no—
313#548—48no—
314#546—48no—
315D42—44no—
316D42—48no—
317D42—48no—
318D42—48no—
319D42—48no—
320D42—48no—
321#535—48no—
322#534—416no—
323C2×#127—44no—
324C2×#127—44no—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344#529—44no—
345C2×#126C2312yes—
346C2×#126C2314yes—
347C2×#125C2311yescharacteristic
348C2×#125C2312yes—
349C2×#125C2311yescharacteristic
350C2×#124—48no—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2311yescharacteristic
354C2×#124C2312yes—
355C2×#124C2311yescharacteristic
356C2×#124C2312yes—
357C2×#124C2314yes—
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#123C2314yes—
362C2×#123C2312yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2311yescharacteristic
399C2×#121C2311yescharacteristic
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×C4×Q8—44no—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C22⋊C4C2314yes—
464C22×C22⋊C4C2314yes—
465C22×C22⋊C4C2314yes—
466C22×C22⋊C4C2314yes—
467C22×C22⋊C4C2314yes—
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2312yes—
471C22×C42C2312yes—
472#401C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#399C2314yes—
481#399C2314yes—
482#399C2312yes—
483#399C2312yes—
484#398C2312yes—
485#398C2312yes—
486#398C2314yes—
487#398C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2312yes—
517#396C2312yes—
518#395C2312yes—
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#394C2314yes—
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#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#393C2312yes—
573#393C2312yes—
574#393C2312yes—
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#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2314yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2314yes—
655#390C2314yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2311yescharacteristic
661#390C2312yes—
662#390C2312yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#390C2311yescharacteristic
667#390C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2314yes—
671#389C2312yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2311yescharacteristic
680#389C2312yes—
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2311yescharacteristic
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2312yes—
702#388C2312yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#384C2311yescharacteristic
762#384C2312yes—
763#384C2312yes—
764#383C2312yes—
765#382C2311yescharacteristic
766#382C2311yescharacteristic
767#382C2311yescharacteristic
768#382C2311yescharacteristic
769#381C2312yes—
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823#376C2312yes—
824#376C2312yes—
825C2×#95C2312yes—
826C43C2311yescharacteristic
827C25C2414yes—
828C25C2414yes—
829C25C2414yes—
830C2×#41—28no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—42no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×D4—216no—
840C22×D4—28no—
841C22×D4—28no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4—44no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4—44no—
862C22×D4—48no—
863C22×D4—48no—
864C22×D4—48no—
865C22×D4—48no—
866C22×D4—48no—
867C22×D4—82no—
868C22×D4—82no—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923#127—24no—
924#127—24no—
925#127—24no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—44no—
930#127—44no—
931#127—44no—
932#127—44no—
933#127—44no—
934#127—44no—
935#127—44no—
936#127—44no—
937#127—44no—
938#127—44no—
939#127—44no—
940#127—44no—
941#127—82no—
942#126—44no—
943#126—48no—
944#125—42no—
945#125—42no—
946#125—44no—
947#124—28no—
948#124—28no—
949#124—24no—
950#124—44no—
951#124—44no—
952#124—42no—
953#124—44no—
954#124—48no—
955#124—48no—
956#124—48no—
957#123—48no—
958#123—48no—
959#123—44no—
960#123—48no—
961#123—48no—
962#123—48no—
963#123—48no—
964#123—84no—
965C22⋊Q8—24no—
966C22⋊Q8—48no—
967C22⋊Q8—42no—
968C22⋊Q8—44no—
969#121—28no—
970#121—28no—
971#121—24no—
972#121—24no—
973#121—28no—
974#121—28no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—48no—
979#121—48no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—44no—
984#121—42no—
985#121—44no—
986#121—42no—
987#121—44no—
988#121—44no—
989#121—48no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—48no—
998#121—48no—
999#121—44no—
1000#121—44no—
1001#121—48no—
1002#121—48no—
1003#121—84no—
1004#120—48no—
1005#120—48no—
1006#120—48no—
1007#120—48no—
1008#120—48no—
1009#120—48no—
1010#120—48no—
1011#120—48no—
1012#120—48no—
1013#120—48no—
1014#120—48no—
1015#120—48no—
1016#120—48no—
1017#120—48no—
1018#120—48no—
1019#120—48no—
1020#120—48no—
1021#120—48no—
1022#120—84no—
1023#120—84no—
1024#120—84no—
1025C4×Q8—24no—
1026C4×Q8—24no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×Q8—42no—
1030C4×Q8—42no—
1031C4×Q8—44no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—48no—
1050C4×D4—48no—
1051#117—44no—
1052#117—44no—
1053#117—44no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—42no—
1056C2×C4⋊C4—42no—
1057C2×C4⋊C4—44no—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C22⋊C4—48no—
1106C2×C22⋊C4—48no—
1107C2×C22⋊C4—48no—
1108C2×C22⋊C4—48no—
1109C2×C22⋊C4—84no—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42—44no—
1196C2×C42—44no—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270C24—28no—
1271C24—28no—
1272C24—28no—
1273C24—28no—
1274C24—44no—
1275C24—44no—
1276C24—44no—
1277C24—44no—
1278C24—44no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24—44no—
1284C24—44no—
1285C24—44no—
1286C24—44no—
1287C24—44no—
1288C24—44no—
1289C24—44no—
1290C24—44no—
1291C24C2514yes—
1292C24C2514yes—
1293C24C2512yes—
1294C24C2512yes—
1295C24C2514yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298#41—816no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—42no—
1307C2×Q8—416no—
1308C2×Q8H(5,𝔽2)14yes—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—28no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—28no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—28no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
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—44no—
1370C2×D4—44no—
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—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—816no—
1423C2×D4—816no—
1424C2×D4—816no—
1425C2×D4—816no—
1426C2×D4—816no—
1427C2×D4—816no—
1428C2×D4—816no—
1429C2×D4—816no—
1430C2×D4—832no—
1431C2×D4—832no—
1432C2×D4H(5,𝔽2)14yes—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—28no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4H(5,𝔽2)14yes—
1480C22×C4H(5,𝔽2)14yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—22no—
1650C42—24no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—24no—
1655C42—22no—
1656C42—42no—
1657C42—42no—
1658C42—42no—
1659C42—42no—
1660C42—44no—
1661C42—44no—
1662C42—41no—
1663C42H(5,𝔽2)14yes—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—24no—
1675C23—24no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—24no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—24no—
1689C23—24no—
1690C23—24no—
1691C23—24no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—24no—
1696C23—24no—
1697C23—24no—
1698C23—24no—
1699C23—24no—
1700C23—22no—
1701C23—24no—
1702C23—22no—
1703C23—24no—
1704C23—24no—
1705C23—22no—
1706C23—24no—
1707C23—22no—
1708C23—24no—
1709C23—416no—
1710C23—88no—
1711C23—88no—
1712C23—88no—
1713C23—88no—
1714C23—88no—
1715C23—88no—
1716C23—88no—
1717C23—88no—
1718C23—88no—
1719C23—88no—
1720C23—88no—
1721C23—88no—
1722C23—88no—
1723C23—88no—
1724C23—164no—
1725C23—164no—
1726C23—164no—
1727C23—164no—
1728C23—164no—
1729C23—164no—
1730C23C2×H(5,𝔽2)12yes—
1731C23C2×H(5,𝔽2)12yes—
1732C23C2×H(5,𝔽2)12yes—
1733C23C2×H(5,𝔽2)12yes—
1734C23C2611yescharacteristic
1735Q8—28no—
1736Q8—48no—
1737Q8—44no—
1738D4—28no—
1739D4—48no—
1740D4—416no—
1741D4—48no—
1742D4—48no—
1743D4—44no—
1744D4—48no—
1745D4—48no—
1746D4—48no—
1747D4—48no—
1748D4—44no—
1749D4—48no—
1750D4—48no—
1751D4—88no—
1752D4—88no—
1753D4—88no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—84no—
1758D4—84no—
1759D4—88no—
1760D4—88no—
1761D4—88no—
1762D4—88no—
1763D4—88no—
1764D4—88no—
1765D4—88no—
1766D4—88no—
1767D4—88no—
1768D4—164no—
1769D4—164no—
1770D4—164no—
1771D4—164no—
1772D4—164no—
1773D4—164no—
1774D4—164no—
1775D4—164no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—28no—
1787C2×C4—28no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—44no—
1852C2×C4—44no—
1853C2×C4—48no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—44no—
1858C2×C4—88no—
1859C2×C4—88no—
1860C2×C4—84no—
1861C2×C4—84no—
1862C2×C4—84no—
1863C2×C4—88no—
1864C2×C4—164no—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×H(5,𝔽2)14yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4C2×H(5,𝔽2)12yes—
1870C2×C4C2×H(5,𝔽2)12yes—
1871C2×C4C2×H(5,𝔽2)12yes—
1872C2×C4C2×H(5,𝔽2)12yes—
1873C2×C4C2×H(5,𝔽2)12yes—
1874C2×C4C2×H(5,𝔽2)12yes—
1875C2×C4#58512yes—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—42no—
1890C22—44no—
1891C22—44no—
1892C22—44no—
1893C22—42no—
1894C22—42no—
1895C22—44no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—44no—
1900C22—44no—
1901C22—42no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—44no—
1906C22—42no—
1907C22—44no—
1908C22—44no—
1909C22—44no—
1910C22—44no—
1911C22—44no—
1912C22—42no—
1913C22—42no—
1914C22—44no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—44no—
1919C22—42no—
1920C22—44no—
1921C22—44no—
1922C22—44no—
1923C22—42no—
1924C22—1616no—
1925C22—1616no—
1926C22—1616no—
1927C22#354314yes—
1928C22C22×H(5,𝔽2)11yescharacteristic
1929C22C22×H(5,𝔽2)11yescharacteristic
1930C22C22×H(5,𝔽2)11yescharacteristic
1931C22C22×H(5,𝔽2)11yescharacteristic
1932C22C22×H(5,𝔽2)11yescharacteristic
1933C22C2×#58511yescharacteristic
1934C22H(7,𝔽2)11yescharacteristic
1935C4—22no—
1936C4—24no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—42no—
1941C4—41no—
1942C4—42no—
1943C4—42no—
1944C4—41no—
1945C4—42no—
1946C4—42no—
1947C4—44no—
1948C4—42no—
1949C4—42no—
1950C4—41no—
1951C4—41no—
1952C4—41no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—41no—
1959C4—42no—
1960C4—41no—
1961C4#353714yes—
1962C4#355814yes—
1963C2—24no—
1964C2—42no—
1965C2—84no—
1966C2—82no—
1967C2—82no—
1968C2—84no—
1969C2—84no—
1970C2C2×#353711yescharacteristic
1971C2C2×#355811yescharacteristic
1972C2C2×#354311yescharacteristic
1973C2#6291211yescharacteristic
1974C2#6291611yescharacteristic
1975C2#6296111yescharacteristic
1976C2#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. #59646C2semidirect
2. #59408C2semidirect
3. #59131C2semidirect
4. #59126C2semidirect
5. #59124C2semidirect
6. #53499C2semidirect
7. #53483C2semidirect
8. #53000C2semidirect
9. #52986C2semidirect
10. #52977C2semidirect
11. #52973C2semidirect
12. #52313C2semidirect
13. #42977C2semidirect
14. #42966C2semidirect
15. #42895C2semidirect
16. #42581C2semidirect
17. #40486C2semidirect
18. #39770C2semidirect
19. #39361C2semidirect
20. #39358C2semidirect
21. #39358C2semidirect
22. #39147C2semidirect
23. #38910C2semidirect
24. #38080C2semidirect
25. #37677C2semidirect
26. #37625C2semidirect
27. #37614C2semidirect
28. #37493C2semidirect
29. #37493C2semidirect
30. #36596C2semidirect
31. #36576C2semidirect
32. D4×#127C2semidirect
33. C2×#2548C2semidirect
34. #34788C2semidirect
35. #34708C2semidirect
36. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#548C22semidirect
39. C2×#546C22semidirect
40. C2×D42C22semidirect
41. C2×D42C22semidirect
42. C2×D42C22semidirect
43. C2×D42C22semidirect
44. C2×D42C22semidirect
45. C2×D42C22semidirect
46. C2×#535C22semidirect
47. C2×#534C22semidirect
49. C22×#127C22semidirect
50. C2×#529C22semidirect
51. C22×#124C22semidirect
52. C22×C4×Q8C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2856C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2828C22semidirect
64. #2828C22semidirect
65. #2826C22semidirect
66. #2825C22semidirect
67. #2818C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2812C22semidirect
71. #2812C22semidirect
72. #2803C22semidirect
73. #2778C22semidirect
74. #2757C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2709C22semidirect
78. #2709C22semidirect
79. #2708C22semidirect
80. #2703C22semidirect
81. #2701C22semidirect
82. #2697C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
85. #2682C22semidirect
86. #2682C22semidirect
87. #2679C22semidirect
88. #2679C22semidirect
89. #2679C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2673C22semidirect
101. #2672C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2668C22semidirect
109. #2661C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2657C22semidirect
113. #2648C22semidirect
114. #2648C22semidirect
115. #2644C22semidirect
116. #2644C22semidirect
117. #2641C22semidirect
118. #2641C22semidirect
119. #2641C22semidirect
120. #2630C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2622C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
127. #2619C22semidirect
128. #2617C22semidirect
129. #2617C22semidirect
130. #2617C22semidirect
131. #2613C22semidirect
132. #2602C22semidirect
133. #2566C22semidirect
134. #2559C22semidirect
135. #2555C22semidirect
136. #2554C22semidirect
137. #2552C22semidirect
138. #2548C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2544C22semidirect
151. #2544C22semidirect
152. #2543C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2540C22semidirect
161. #2539C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
164. #2525C22semidirect
165. #2516C22semidirect
166. #2513C22semidirect
167. #2513C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2510C22semidirect
171. #2509C22semidirect
172. #2504C22semidirect
173. #2500C22semidirect
174. #2494C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2490C22semidirect
180. #2487C22semidirect
181. #2481C22semidirect
182. #2472C22semidirect
183. #2469C22semidirect
184. #2458C22semidirect
185. #2454C22semidirect
186. #2453C22semidirect
187. #2448C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2444C22semidirect
197. #2443C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
200. #2436C22semidirect
201. #2435C22semidirect
202. #2435C22semidirect
203. #2433C22semidirect
204. #2433C22semidirect
205. #2433C22semidirect
206. #2433C22semidirect
207. #2433C22semidirect
208. #2433C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2433C22semidirect
213. #2433C22semidirect
214. #2433C22semidirect
215. #2433C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2427C22semidirect
224. #2426C22semidirect
225. #2426C22semidirect
226. #2426C22semidirect
227. #2426C22semidirect
228. #2424C22semidirect
229. #2424C22semidirect
230. #2424C22semidirect
231. #2424C22semidirect
232. #2422C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
236. #2421C22semidirect
237. #2418C22semidirect
238. #2418C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2414C22semidirect
245. #2410C22semidirect
246. #2410C22semidirect
247. #2410C22semidirect
248. #2410C22semidirect
249. #2410C22semidirect
250. #2410C22semidirect
251. #2409C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
258. #2408C22semidirect
259. #2403C22semidirect
260. #2401C22semidirect
261. #2398C22semidirect
262. #2396C22semidirect
263. #2395C22semidirect
264. C2×#394C22semidirect
265. #2367C22semidirect
266. #2366C22semidirect
267. #2366C22semidirect
268. #2363C22semidirect
269. #2363C22semidirect
270. #2354C22semidirect
271. Q8×C4⋊C4C22semidirect
272. #2341C22semidirect
273. D4×C22⋊C4C22semidirect
274. D4×C22⋊C4C22semidirect
275. #2328C22semidirect
276. #2326C22semidirect
277. #2309C22semidirect
278. C4×#127C22semidirect
279. C4×#125C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2295C22semidirect
290. #2293C22semidirect
291. C2×#390C22semidirect
292. C2×#390C22semidirect
293. C2×#390C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596462
#594082
#591312
#591262
#591242
#534992
#534832
#530002
#529862
#529772
#529732
#523132
#429772
#429662
#428952
#425812
#404862
#397702
#393612
#393582
#391472
#389102
#380802
#376772
#376252
#376142
#374932
#365962
#365762
D4×#1272
C2×#25482
#347882
#347082