Finite Group Databasebeta

← #7653623

Subgroups — #7653623

Order 512.

6227 conjugacy classes of subgroups.

The subgroup lattice has 1887 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42589C212yesmaximal, complemented
2#42581C212yesmaximal, complemented
3#41249C214yesmaximal, complemented
4#41242C214yesmaximal, complemented
5#40382C214yesmaximal, complemented
6#40126C212yesmaximal, complemented
7#39434C212yesmaximal, complemented
8#39416C212yesmaximal, complemented
9#39361C211yesmaximal, characteristic, complemented
10#39342C211yesmaximal, characteristic, complemented
11#39341C211yesmaximal, characteristic, complemented
12#39221C212yesmaximal, complemented
13#38965C211yesmaximal, characteristic, complemented
14#38214C212yesmaximal, complemented
15#37826C214yesmaximal, complemented
16#37780C212yesmaximal, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37515C212yesmaximal, complemented
19#36529C212yesmaximal, complemented
20#36472C211yesmaximal, characteristic, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36302C211yesmaximal, characteristic, complemented
23#36128C211yesmaximal, characteristic, complemented
24#36101C212yesmaximal, complemented
25#35941C212yesmaximal, complemented
26#35916C212yesmaximal, complemented
27#35278C211yesmaximal, characteristic, complemented
28#35171C211yesmaximal, characteristic, complemented
29#35168C212yesmaximal, complemented
30#35038C212yesmaximal, complemented
31#34969C211yesmaximal, characteristic, complemented
32#34681C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34C4×D42C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#540C2212yes—
41C2×#540C2212yescomplemented
42C2×#537C2212yescomplemented
43C2×#535C2212yes—
44C2×#535C2212yes—
45C2×#532C2211yescharacteristic
46C2×#532C2212yescomplemented
47C2×#525C2214yescomplemented
48C22×C4×D4C2212yes—
49C22×C4×D4C2212yes—
50#2867C2211yescharacteristic
51#2861C2212yescomplemented
52#2860C2212yescomplemented
53#2859C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2856C2212yescomplemented
56#2856C2212yescomplemented
57#2856C2211yescharacteristic, complemented
58#2855C2212yescomplemented
59#2854C2212yescomplemented
60#2847C2214yescomplemented
61#2847C2214yescomplemented
62#2829C2214yescomplemented
63#2825C2214yescomplemented
64#2825C2214yescomplemented
65#2803C2214yescomplemented
66#2801C2214yescomplemented
67#2778C2214yescomplemented
68#2768C2214yescomplemented
69#2710C2214yescomplemented
70#2704C2214yescomplemented
71#2703C2214yescomplemented
72#2701C2214yescomplemented
73#2700C2214yescomplemented
74#2699C2214yescomplemented
75#2699C2214yescomplemented
76#2697C2214yescomplemented
77#2688C2214yescomplemented
78#2678C2214yescomplemented
79#2678C2214yescomplemented
80#2676C2214yescomplemented
81#2676C2214yescomplemented
82#2675C2214yescomplemented
83#2673C2214yescomplemented
84#2670C2214yes—
85#2669C2214yes—
86#2669C2214yes—
87#2669C2214yes—
88#2668C2214yescomplemented
89#2661C2214yescomplemented
90#2661C2214yescomplemented
91#2661C2214yescomplemented
92#2653C2214yescomplemented
93#2653C2214yescomplemented
94#2648C2214yescomplemented
95#2644C2212yescomplemented
96#2641C2212yescomplemented
97#2641C2212yescomplemented
98#2635C2214yescomplemented
99#2630C2214yescomplemented
100#2629C2212yescomplemented
101#2624C2212yescomplemented
102#2620C2212yescomplemented
103#2619C2212yes—
104#2619C2212yescomplemented
105#2617C2214yescomplemented
106#2617C2214yescomplemented
107#2615C2212yes—
108#2615C2212yescomplemented
109#2603C2214yescomplemented
110#2595C2214yescomplemented
111#2584C2212yescomplemented
112#2576C2214yescomplemented
113#2559C2214yescomplemented
114#2559C2214yescomplemented
115#2557C2214yescomplemented
116#2552C2211yescharacteristic, complemented
117#2552C2211yescharacteristic, complemented
118#2548C2211yescharacteristic
119#2548C2212yescomplemented
120#2543C2214yescomplemented
121#2541C2212yes—
122#2541C2211yescharacteristic
123#2541C2211yescharacteristic
124#2541C2212yes—
125#2541C2212yescomplemented
126#2541C2211yescharacteristic, complemented
127#2539C2214yescomplemented
128#2538C2212yes—
129#2538C2211yescharacteristic, complemented
130#2537C2211yescharacteristic
131#2534C2214yescomplemented
132#2531C2214yescomplemented
133#2530C2212yescomplemented
134#2527C2212yescomplemented
135#2513C2212yescomplemented
136#2511C2211yescharacteristic, complemented
137#2509C2211yescharacteristic, complemented
138#2507C2212yescomplemented
139#2500C2212yescomplemented
140#2494C2212yescomplemented
141#2494C2212yescomplemented
142#2494C2211yescharacteristic, complemented
143#2492C2211yescharacteristic, complemented
144#2491C2212yes—
145#2490C2212yescomplemented
146#2490C2212yescomplemented
147#2490C2212yescomplemented
148#2477C2212yescomplemented
149#2476C2214yescomplemented
150#2472C2214yescomplemented
151#2470C2212yescomplemented
152#2470C2214yescomplemented
153#2467C2214yescomplemented
154#2467C2214yescomplemented
155#2464C2214yescomplemented
156#2464C2214yescomplemented
157#2464C2214yescomplemented
158#2461C2214yescomplemented
159#2460C2214yescomplemented
160#2456C2214yescomplemented
161#2456C2214yescomplemented
162#2456C2214yescomplemented
163#2456C2214yescomplemented
164#2454C2212yes—
165#2454C2212yescomplemented
166#2452C2211yescharacteristic
167#2452C2212yescomplemented
168#2450C2214yescomplemented
169#2447C2211yescharacteristic
170#2445C2212yescomplemented
171#2445C2212yescomplemented
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2445C2212yescomplemented
175#2441C2212yescomplemented
176#2440C2212yescomplemented
177#2433C2212yes—
178#2433C2212yes—
179#2433C2212yes—
180#2433C2212yes—
181#2431C2212yes—
182#2431C2214yescomplemented
183#2430C2214yescomplemented
184#2428C2212yes—
185#2428C2212yes—
186#2428C2212yes—
187#2428C2212yes—
188#2428C2212yes—
189#2428C2214yescomplemented
190#2428C2212yescomplemented
191#2428C2214yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2214yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2427C2211yescharacteristic
202#2427C2212yes—
203#2427C2214yescomplemented
204#2427C2214yescomplemented
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2425C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2422C2211yescharacteristic
212#2422C2212yescomplemented
213#2422C2212yescomplemented
214#2422C2212yescomplemented
215#2420C2212yescomplemented
216#2416C2212yescomplemented
217#2414C2212yes—
218#2414C2214yescomplemented
219#2414C2212yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2407C2214yescomplemented
223#2407C2212yescomplemented
224#2401C2212yescomplemented
225#2398C2212yescomplemented
226#2392C2214yescomplemented
227#2388C2214yescomplemented
228#2372C2212yescomplemented
229#2372C2212yescomplemented
230#2369C2211yescharacteristic, complemented
231#2369C2211yescharacteristic, complemented
232#2366C2211yescharacteristic
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2366C2211yescharacteristic, complemented
237#2366C2212yescomplemented
238#2364C2214yescomplemented
239#2363C2211yescharacteristic
240#2363C2211yescharacteristic
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2211yescharacteristic, complemented
244#2363C2212yescomplemented
245#2363C2211yescharacteristic, complemented
246#2363C2212yescomplemented
247#2361C2212yes—
248#2361C2212yes—
249#2361C2212yescomplemented
250#2361C2212yescomplemented
251#2358C2214yes—
252#2357C2212yescomplemented
253#2355C2211yescharacteristic, complemented
254#2354C2211yescharacteristic
255#2354C2212yescomplemented
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic
258#2345C2212yescomplemented
259#2339C2212yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2335C2214yescomplemented
263#2333C2214yescomplemented
264#2333C2214yescomplemented
265#2328C2212yes—
266#2328C2212yescomplemented
267#2324C2212yescomplemented
268#2316C2212yescomplemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#127C2211yescharacteristic
271C4×#127C2212yes—
272C4×#127C2211yescharacteristic, complemented
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2211yescharacteristic, complemented
276C4×#123C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yescomplemented
282C4×#120C2214yes—
283C4×#120C2214yescomplemented
284#2297C2212yescomplemented
285#2297C2212yescomplemented
286#2297C2212yescomplemented
287#2295C2211yescharacteristic, complemented
288#2293C2211yescharacteristic
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2275C2212yescomplemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C24×C4C2314yes—
305#553—48no—
306#550—28no—
307#550—48no—
308D42—28no—
309#540—48no—
310#540—48no—
311#537—48no—
312#535—48no—
313#535—48no—
314#532—28no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332C2×#126C2314yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341#525—416no—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×D4—48no—
404C2×C4×D4—48no—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2314yes—
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454C22×C42C2312yes—
455C22×C42C2312yes—
456#401C2312yes—
457#401C2314yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#399C2314yes—
464#399C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2312yes—
483#397C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#393C2314yes—
525#393C2314yes—
526#393C2312yes—
527#393C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2311yescharacteristic
818#376C2312yes—
819#376C2311yescharacteristic
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C43C2311yescharacteristic
824C25C2414yes—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—48no—
830C2×#41—48no—
831C2×#41—48no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—28no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C23×C4—48no—
875C23×C4—48no—
876C23×C4—48no—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C4⋊Q8—24no—
897C4⋊Q8—24no—
898#127—24no—
899#127—28no—
900#127—28no—
901#127—24no—
902#127—24no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—44no—
907#127—44no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—48no—
912#126—48no—
913#125—44no—
914#125—44no—
915#125—44no—
916#124—24no—
917#124—28no—
918#124—44no—
919#124—48no—
920#124—48no—
921#123—216no—
922#123—44no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—48no—
928C22⋊Q8—28no—
929C22⋊Q8—24no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—44no—
933#121—24no—
934#121—24no—
935#121—28no—
936#121—28no—
937#121—28no—
938#121—24no—
939#121—28no—
940#121—28no—
941#121—28no—
942#121—216no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—48no—
949#121—48no—
950#121—48no—
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—44no—
960#121—44no—
961#121—44no—
962#121—48no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—48no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—48no—
972#120—216no—
973#120—48no—
974#120—48no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—48no—
979#120—48no—
980C4×Q8—24no—
981C4×Q8—44no—
982C4×D4—24no—
983C4×D4—28no—
984C4×D4—28no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—24no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—48no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—42no—
1001C4×D4—44no—
1002C4×D4—42no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—48no—
1007C4×D4—44no—
1008C4×D4—48no—
1009C4×D4—48no—
1010C4×D4—48no—
1011C4×D4—48no—
1012C4×D4—44no—
1013C4×D4—48no—
1014C4×D4—48no—
1015C4×D4—48no—
1016C4×D4#4118yescomplemented
1017#117—24no—
1018#117—24no—
1019#117—44no—
1020#117—44no—
1021#117—42no—
1022#117—48no—
1023#117—42no—
1024#117—44no—
1025C2×C4⋊C4—28no—
1026C2×C4⋊C4—28no—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C22⋊C4—48no—
1077C2×C22⋊C4—48no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C42—24no—
1152C2×C42—44no—
1153C2×C42—44no—
1154C2×C42—44no—
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242C24—28no—
1243C24—28no—
1244C24—44no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24C2514yes—
1250C24C2512yes—
1251C24C2514yes—
1252C24C2511yescharacteristic
1253C24C2512yes—
1254C24C2512yes—
1255#41—816no—
1256#41—816no—
1257#41—832no—
1258C2×Q8—22no—
1259C2×Q8—24no—
1260C2×Q8—24no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—28no—
1299C2×D4—28no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—432no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—432no—
1360C2×D4C2×#4114yes—
1361C2×D4H(5,𝔽2)14yes—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—28no—
1388C22×C4—28no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—44no—
1397C22×C4—41no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—832no—
1419C22×C4C2×#4118yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—41no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4C2×#4114yes—
1495C4⋊C4H(5,𝔽2)14yes—
1496C4⋊C4H(5,𝔽2)14yes—
1497C4⋊C4H(5,𝔽2)14yes—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—41no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4C2×#4118yes—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—24no—
1575C42—22no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—24no—
1580C42—22no—
1581C42—24no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—42no—
1593C42—42no—
1594C42—42no—
1595C42—42no—
1596C42—42no—
1597C42—42no—
1598C42—41no—
1599C42—42no—
1600C42—44no—
1601C42—44no—
1602C42—42no—
1603C42C2×#4114yes—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—24no—
1618C23—24no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—24no—
1624C23—24no—
1625C23—24no—
1626C23—22no—
1627C23—24no—
1628C23—24no—
1629C23—24no—
1630C23—22no—
1631C23—24no—
1632C23—22no—
1633C23—22no—
1634C23—24no—
1635C23—21no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—24no—
1640C23—24no—
1641C23—22no—
1642C23—24no—
1643C23—24no—
1644C23—416no—
1645C23—416no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23C22×#4114yes—
1652C23C2×H(5,𝔽2)14yes—
1653C23C2611yescharacteristic
1654Q8—48no—
1655Q8—44no—
1656Q8—84no—
1657D4—28no—
1658D4—28no—
1659D4—48no—
1660D4—416no—
1661D4—416no—
1662D4—44no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—88no—
1668D4—84no—
1669D4—84no—
1670D4—88no—
1671D4—88no—
1672D4—84no—
1673D4—88no—
1674D4—88no—
1675D4—88no—
1676D4—84no—
1677D4—88no—
1678D4—84no—
1679D4—84no—
1680D4—88no—
1681D4—88no—
1682D4—164no—
1683D4—164no—
1684D4—164no—
1685D4—164no—
1686D4—164no—
1687D4—164no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—216no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—416no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—44no—
1771C2×C4—84no—
1772C2×C4—88no—
1773C2×C4—88no—
1774C2×C4—88no—
1775C2×C4—88no—
1776C2×C4—88no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—164no—
1780C2×C4C22×#4112yes—
1781C2×C4C22×#4114yes—
1782C2×C4C22×#4112yes—
1783C2×C4C22×#4112yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×H(5,𝔽2)14yes—
1787C2×C4C2×H(5,𝔽2)12yes—
1788C2×C4C2×H(5,𝔽2)14yes—
1789C2×C4C2×H(5,𝔽2)12yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)12yes—
1792C2×C4#58512yes—
1793C2×C4#58512yes—
1794C22—24no—
1795C22—24no—
1796C22—24no—
1797C22—24no—
1798C22—24no—
1799C22—24no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—44no—
1809C22—42no—
1810C22—44no—
1811C22—41no—
1812C22—44no—
1813C22—41no—
1814C22—42no—
1815C22—44no—
1816C22—41no—
1817C22—42no—
1818C22—44no—
1819C22—44no—
1820C22—42no—
1821C22—44no—
1822C22—44no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—44no—
1827C22—44no—
1828C22—41no—
1829C22—42no—
1830C22—44no—
1831C22—44no—
1832C22—41no—
1833C22—44no—
1834C22—42no—
1835C22—44no—
1836C22—832no—
1837C22C23×#4111yescharacteristic
1838C22C22×H(5,𝔽2)11yescharacteristic
1839C22C22×H(5,𝔽2)11yescharacteristic
1840C22C22×H(5,𝔽2)11yescharacteristic
1841C22C22×H(5,𝔽2)11yescharacteristic
1842C22C2×#58511yescharacteristic
1843C22C2×#58511yescharacteristic
1844C4—22no—
1845C4—24no—
1846C4—24no—
1847C4—22no—
1848C4—22no—
1849C4—24no—
1850C4—22no—
1851C4—22no—
1852C4—44no—
1853C4—42no—
1854C4—41no—
1855C4—42no—
1856C4—41no—
1857C4—44no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—42no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—42no—
1869C4—41no—
1870C4—42no—
1871C4#346014yes—
1872C4#351914yes—
1873C2—44no—
1874C2—44no—
1875C2—82no—
1876C2—84no—
1877C2—81no—
1878C2—84no—
1879C2C2×#346011yescharacteristic
1880C2C2×#351911yescharacteristic
1881C2#6280011yescharacteristic
1882C2#6301111yescharacteristic
1883C2#6301411yescharacteristic
1884C2#6301411yescharacteristic
1885C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42589C2semidirect
2. #42581C2semidirect
3. #41249C2semidirect
4. #41242C2semidirect
5. #40382C2semidirect
6. #40126C2semidirect
7. #39434C2semidirect
8. #39416C2semidirect
9. #39361C2semidirect
10. #39342C2semidirect
11. #39341C2semidirect
12. #39221C2semidirect
13. #38965C2semidirect
14. #38214C2semidirect
15. #37826C2semidirect
16. #37780C2semidirect
17. #37625C2semidirect
18. #37515C2semidirect
19. #36529C2semidirect
20. #36472C2semidirect
21. #36453C2semidirect
22. #36302C2semidirect
23. #36128C2semidirect
24. #36101C2semidirect
25. #35941C2semidirect
26. #35916C2semidirect
27. #35278C2semidirect
28. #35171C2semidirect
29. #35168C2semidirect
30. #35038C2semidirect
31. #34969C2semidirect
32. #34681C2semidirect
33. #34330C2semidirect
34. C4×D42C2semidirect
35. #34155C2semidirect
36. C2×#553C22semidirect
38. C2×#550C22semidirect
41. C2×#540C22semidirect
42. C2×#537C22semidirect
46. C2×#532C22semidirect
47. C2×#525C22semidirect
51. #2861C22semidirect
52. #2860C22semidirect
53. #2859C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2856C22semidirect
58. #2855C22semidirect
59. #2854C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2829C22semidirect
63. #2825C22semidirect
64. #2825C22semidirect
65. #2803C22semidirect
66. #2801C22semidirect
67. #2778C22semidirect
68. #2768C22semidirect
69. #2710C22semidirect
70. #2704C22semidirect
71. #2703C22semidirect
72. #2701C22semidirect
73. #2700C22semidirect
74. #2699C22semidirect
75. #2699C22semidirect
76. #2697C22semidirect
77. #2688C22semidirect
78. #2678C22semidirect
79. #2678C22semidirect
80. #2676C22semidirect
81. #2676C22semidirect
82. #2675C22semidirect
83. #2673C22semidirect
88. #2668C22semidirect
89. #2661C22semidirect
90. #2661C22semidirect
91. #2661C22semidirect
92. #2653C22semidirect
93. #2653C22semidirect
94. #2648C22semidirect
95. #2644C22semidirect
96. #2641C22semidirect
97. #2641C22semidirect
98. #2635C22semidirect
99. #2630C22semidirect
100. #2629C22semidirect
101. #2624C22semidirect
102. #2620C22semidirect
104. #2619C22semidirect
105. #2617C22semidirect
106. #2617C22semidirect
108. #2615C22semidirect
109. #2603C22semidirect
110. #2595C22semidirect
111. #2584C22semidirect
112. #2576C22semidirect
113. #2559C22semidirect
114. #2559C22semidirect
115. #2557C22semidirect
116. #2552C22semidirect
117. #2552C22semidirect
119. #2548C22semidirect
120. #2543C22semidirect
125. #2541C22semidirect
126. #2541C22semidirect
127. #2539C22semidirect
129. #2538C22semidirect
131. #2534C22semidirect
132. #2531C22semidirect
133. #2530C22semidirect
134. #2527C22semidirect
135. #2513C22semidirect
136. #2511C22semidirect
137. #2509C22semidirect
138. #2507C22semidirect
139. #2500C22semidirect
140. #2494C22semidirect
141. #2494C22semidirect
142. #2494C22semidirect
143. #2492C22semidirect
145. #2490C22semidirect
146. #2490C22semidirect
147. #2490C22semidirect
148. #2477C22semidirect
149. #2476C22semidirect
150. #2472C22semidirect
151. #2470C22semidirect
152. #2470C22semidirect
153. #2467C22semidirect
154. #2467C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2464C22semidirect
158. #2461C22semidirect
159. #2460C22semidirect
160. #2456C22semidirect
161. #2456C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
165. #2454C22semidirect
167. #2452C22semidirect
168. #2450C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2441C22semidirect
176. #2440C22semidirect
182. #2431C22semidirect
183. #2430C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2425C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
212. #2422C22semidirect
213. #2422C22semidirect
214. #2422C22semidirect
215. #2420C22semidirect
216. #2416C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2401C22semidirect
225. #2398C22semidirect
226. #2392C22semidirect
227. #2388C22semidirect
228. #2372C22semidirect
229. #2372C22semidirect
230. #2369C22semidirect
231. #2369C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2364C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2363C22semidirect
249. #2361C22semidirect
250. #2361C22semidirect
252. #2357C22semidirect
253. #2355C22semidirect
255. #2354C22semidirect
258. #2345C22semidirect
259. #2339C22semidirect
262. #2335C22semidirect
263. #2333C22semidirect
264. #2333C22semidirect
266. #2328C22semidirect
267. #2324C22semidirect
268. #2316C22semidirect
269. C4×C4⋊Q8C22semidirect
272. C4×#127C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
281. C4×#121C22semidirect
283. C4×#120C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
286. #2297C22semidirect
287. #2295C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2275C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
1016. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#425892
#425812
#412492
#412422
#403822
#401262
#394342
#394162
#393612
#393422
#393412
#392212
#389652
#382142
#378262
#377802
#376252
#375152
#365292
#364722
#364532
#363022
#361282
#361012
#359412
#359162
#352782
#351712
#351682
#350382
#349692
#346812
#343302
C4×D422
#341552