Finite Group Databasebeta

← #7647085

Subgroups — #7647085

Order 512.

5719 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42606C212yesmaximal, complemented
2#42584C212yesmaximal, complemented
3#42583C212yesmaximal, complemented
4#42566C212yesmaximal, complemented
5#41349C214yesmaximal, complemented
6#41212C214yesmaximal, complemented
7#39438C212yesmaximal, complemented
8#39387C211yesmaximal, characteristic, complemented
9#39362C211yesmaximal, characteristic, complemented
10#39342C211yesmaximal, characteristic, complemented
11#39340C211yesmaximal, characteristic, complemented
12#39191C211yesmaximal, characteristic, complemented
13#39148C211yesmaximal, characteristic, complemented
14#39057C212yesmaximal, complemented
15#38964C211yesmaximal, characteristic, complemented
16#38940C211yesmaximal, characteristic, complemented
17#37780C212yesmaximal, complemented
18#37748C212yesmaximal, complemented
19#37516C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36921C214yesmaximal, complemented
22#36914C214yesmaximal, complemented
23#35524C212yesmaximal, complemented
24#35522C212yesmaximal, complemented
25#35288C211yesmaximal, characteristic, complemented
26#35256C212yesmaximal, complemented
27#35238C212yesmaximal, complemented
28#35230C212yesmaximal, complemented
29#35196C211yesmaximal, characteristic, complemented
30#35195C212yesmaximal, complemented
31#34925C211yesmaximal, characteristic, complemented
32#34914C211yesmaximal, characteristic, complemented
33#34310C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35#34086C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#537C2212yescomplemented
40C2×#535C2212yes—
41C2×#535C2212yes—
42C2×#532C2211yescharacteristic
43C2×#532C2212yescomplemented
44C2×#532C2212yescomplemented
45C2×#529C2212yescomplemented
46C2×#518C2212yes—
47C2×C4×#41C2212yescomplemented
48#2859C2211yescharacteristic, complemented
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2856C2214yescomplemented
53#2855C2212yescomplemented
54#2852C2214yescomplemented
55#2850C2212yes—
56#2850C2214yescomplemented
57#2850C2214yescomplemented
58#2830C2214yescomplemented
59#2829C2214yescomplemented
60#2826C2214yescomplemented
61#2824C2214yescomplemented
62#2793C2214yescomplemented
63#2781C2214yescomplemented
64#2775C2214yescomplemented
65#2763C2214yescomplemented
66#2761C2214yescomplemented
67#2753C2214yescomplemented
68#2749C2214yescomplemented
69#2749C2214yescomplemented
70#2737C2214yescomplemented
71#2730C2214yescomplemented
72#2720C2214yescomplemented
73#2711C2214yescomplemented
74#2709C2214yescomplemented
75#2705C2214yescomplemented
76#2700C2214yescomplemented
77#2700C2214yescomplemented
78#2699C2214yescomplemented
79#2688C2214yescomplemented
80#2688C2214yescomplemented
81#2688C2214yescomplemented
82#2686C2214yescomplemented
83#2685C2214yescomplemented
84#2684C2214yescomplemented
85#2684C2214yescomplemented
86#2678C2214yes—
87#2678C2214yes—
88#2676C2214yescomplemented
89#2672C2214yescomplemented
90#2671C2214yescomplemented
91#2670C2214yes—
92#2669C2214yes—
93#2668C2214yescomplemented
94#2665C2214yescomplemented
95#2662C2214yescomplemented
96#2662C2214yescomplemented
97#2651C2214yescomplemented
98#2650C2214yescomplemented
99#2649C2214yescomplemented
100#2648C2214yescomplemented
101#2644C2212yescomplemented
102#2644C2212yescomplemented
103#2640C2212yes—
104#2636C2214yescomplemented
105#2631C2214yescomplemented
106#2628C2212yescomplemented
107#2626C2214yescomplemented
108#2624C2212yes—
109#2624C2212yescomplemented
110#2622C2214yescomplemented
111#2620C2212yes—
112#2620C2214yescomplemented
113#2620C2212yescomplemented
114#2619C2214yescomplemented
115#2616C2212yescomplemented
116#2615C2212yes—
117#2600C2214yescomplemented
118#2580C2212yes—
119#2571C2211yescharacteristic, complemented
120#2567C2212yescomplemented
121#2566C2214yescomplemented
122#2563C2212yescomplemented
123#2560C2212yescomplemented
124#2559C2212yescomplemented
125#2558C2212yescomplemented
126#2557C2212yescomplemented
127#2555C2214yescomplemented
128#2551C2211yescharacteristic, complemented
129#2548C2212yescomplemented
130#2547C2211yescharacteristic
131#2544C2214yescomplemented
132#2542C2211yescharacteristic, complemented
133#2541C2212yes—
134#2541C2211yescharacteristic
135#2541C2211yescharacteristic
136#2538C2212yescomplemented
137#2537C2211yescharacteristic
138#2537C2212yes—
139#2537C2211yescharacteristic, complemented
140#2535C2212yescomplemented
141#2534C2214yescomplemented
142#2521C2214yescomplemented
143#2516C2214yescomplemented
144#2515C2214yescomplemented
145#2513C2212yescomplemented
146#2512C2211yescharacteristic
147#2512C2212yescomplemented
148#2508C2212yescomplemented
149#2506C2211yescharacteristic, complemented
150#2504C2212yescomplemented
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2496C2211yescharacteristic, complemented
154#2495C2212yescomplemented
155#2492C2212yescomplemented
156#2491C2211yescharacteristic
157#2491C2212yes—
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yescomplemented
161#2487C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2480C2214yescomplemented
165#2477C2214yescomplemented
166#2472C2214yescomplemented
167#2472C2214yescomplemented
168#2471C2214yescomplemented
169#2467C2214yescomplemented
170#2463C2214yescomplemented
171#2460C2214yescomplemented
172#2459C2214yescomplemented
173#2456C2214yescomplemented
174#2456C2214yescomplemented
175#2454C2212yescomplemented
176#2452C2212yes—
177#2452C2211yescharacteristic, complemented
178#2450C2214yescomplemented
179#2448C2212yescomplemented
180#2447C2212yescomplemented
181#2445C2211yescharacteristic
182#2445C2212yescomplemented
183#2444C2214yescomplemented
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2212yescomplemented
187#2439C2212yescomplemented
188#2435C2212yes—
189#2433C2212yes—
190#2431C2212yes—
191#2430C2214yescomplemented
192#2430C2214yescomplemented
193#2428C2212yes—
194#2428C2212yes—
195#2428C2211yescharacteristic
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2427C2212yescomplemented
200#2427C2212yescomplemented
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2422C2211yescharacteristic, complemented
210#2421C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2212yescomplemented
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2418C2214yescomplemented
216#2417C2212yescomplemented
217#2416C2212yes—
218#2416C2212yes—
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2416C2212yescomplemented
222#2414C2212yes—
223#2414C2212yescomplemented
224#2408C2212yes—
225#2408C2212yes—
226#2408C2212yes—
227#2408C2212yes—
228#2407C2212yescomplemented
229#2407C2214yescomplemented
230#2404C2214yescomplemented
231#2398C2212yescomplemented
232#2392C2212yescomplemented
233#2388C2214yescomplemented
234#2366C2211yescharacteristic
235#2365C2211yescharacteristic, complemented
236#2363C2212yes—
237#2362C2212yescomplemented
238#2361C2212yes—
239#2361C2212yes—
240#2359C2214yescomplemented
241#2358C2214yes—
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic, complemented
246#2344C2212yescomplemented
247#2339C2212yescomplemented
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250#2337C2212yescomplemented
251#2337C2212yescomplemented
252#2333C2212yescomplemented
253#2333C2212yescomplemented
254#2331C2211yescharacteristic, complemented
255#2331C2211yescharacteristic, complemented
256#2328C2211yescharacteristic
257#2328C2211yescharacteristic
258#2328C2212yescomplemented
259#2324C2212yes—
260#2324C2211yescharacteristic
261#2324C2211yescharacteristic
262#2324C2212yescomplemented
263#2324C2211yescharacteristic, complemented
264#2324C2211yescharacteristic, complemented
265#2324C2212yescomplemented
266#2324C2212yescomplemented
267#2321C2214yes—
268#2320C2212yescomplemented
269#2319C2212yescomplemented
270#2317C2212yescomplemented
271#2314C2212yescomplemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×#123C2214yescomplemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yescomplemented
282C4×#121C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284#2297C2212yescomplemented
285#2297C2212yescomplemented
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic, complemented
289C2×#390C2212yes—
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#547—28no—
305D42—28no—
306#542—48no—
307#537—48no—
308#535—48no—
309#535—48no—
310#532—28no—
311#532—48no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2314yes—
323C2×#127C2312yes—
324#529—48no—
325C2×#126C2312yes—
326C2×#126C2314yes—
327C2×#126C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386#518—48no—
387C4×#41—48no—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2312yes—
435C22×C42C2312yes—
436C22×C42C2314yes—
437C22×C42C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
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#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2314yes—
734#384C2312yes—
735#383C2314yes—
736#383C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#381C2314yes—
745#381C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816#376C2311yescharacteristic
817#376C2312yes—
818#376C2311yescharacteristic
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—48no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—48no—
830C2×#41—44no—
831C2×#41—84no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×D4—28no—
837C22×D4—28no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2414yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C4⋊Q8—24no—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890#127—24no—
891#127—28no—
892#127—24no—
893#127—24no—
894#127—44no—
895#127—48no—
896#126—44no—
897#126—44no—
898#126—48no—
899#125—44no—
900#125—82no—
901#124—28no—
902#124—44no—
903#124—48no—
904#124—48no—
905#124—44no—
906#124—44no—
907#124—48no—
908#124—44no—
909#124—48no—
910#123—216no—
911#123—44no—
912#123—44no—
913#123—48no—
914C22⋊Q8—28no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—84no—
922#121—24no—
923#121—28no—
924#121—28no—
925#121—24no—
926#121—28no—
927#121—24no—
928#121—28no—
929#121—24no—
930#121—28no—
931#121—28no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—84no—
949#121—84no—
950#121—82no—
951#120—216no—
952#120—48no—
953#120—48no—
954#120—48no—
955#120—48no—
956#120—84no—
957C4×Q8—28no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×D4—24no—
961C4×D4—28no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—48no—
970C4×D4—42no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—48no—
985C4×D4—48no—
986C4×D4—82no—
987C4×D4#4118yescomplemented
988#117—28no—
989#117—28no—
990#117—24no—
991#117—42no—
992#117—44no—
993#117—44no—
994#117—48no—
995#117—44no—
996C2×C4⋊C4—28no—
997C2×C4⋊C4—44no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4—48no—
1054C2×C22⋊C4—84no—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C42—24no—
1132C2×C42—28no—
1133C2×C42—44no—
1134C2×C42—48no—
1135C2×C42—44no—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—28no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24C2512yes—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2511yescharacteristic
1233C24C2512yes—
1234C24C2512yes—
1235#41—432no—
1236#41—816no—
1237#41—832no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—44no—
1246C2×Q8—42no—
1247C2×Q8—44no—
1248C2×Q8—44no—
1249C2×Q8—42no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—432no—
1324C2×D4—816no—
1325C2×D4C2×#4114yes—
1326C2×D4H(5,𝔽2)14yes—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—28no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—41no—
1370C22×C4—44no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4C2×#4118yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4C2×#4114yes—
1462C4⋊C4H(5,𝔽2)14yes—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4C2×#4118yes—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—22no—
1546C42—22no—
1547C42—28no—
1548C42—24no—
1549C42—24no—
1550C42—28no—
1551C42—24no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—42no—
1558C42—42no—
1559C42—42no—
1560C42—44no—
1561C42—42no—
1562C42—41no—
1563C42—41no—
1564C42—44no—
1565C42—41no—
1566C42—41no—
1567C42C2×#4114yes—
1568C42H(5,𝔽2)14yes—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—24no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—22no—
1598C23—21no—
1599C23—24no—
1600C23—22no—
1601C23—22no—
1602C23—24no—
1603C23—21no—
1604C23—22no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—416no—
1610C23—88no—
1611C23—88no—
1612C23—164no—
1613C23—164no—
1614C23—164no—
1615C23—164no—
1616C23C22×#4114yes—
1617C23C2×H(5,𝔽2)14yes—
1618C23C2611yescharacteristic
1619Q8—48no—
1620Q8—84no—
1621Q8—84no—
1622Q8—88no—
1623D4—28no—
1624D4—28no—
1625D4—416no—
1626D4—416no—
1627D4—44no—
1628D4—48no—
1629D4—48no—
1630D4—44no—
1631D4—84no—
1632D4—88no—
1633D4—84no—
1634D4—88no—
1635D4—84no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—164no—
1647D4—164no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—216no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—48no—
1726C2×C4—416no—
1727C2×C4—48no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—44no—
1734C2×C4—82no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—88no—
1740C2×C4—164no—
1741C2×C4—164no—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4114yes—
1744C2×C4C22×#4112yes—
1745C2×C4C22×#4112yes—
1746C2×C4C2×H(5,𝔽2)14yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4#58512yes—
1753C22—24no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—24no—
1758C22—24no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—41no—
1772C22—42no—
1773C22—44no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—41no—
1778C22—42no—
1779C22—44no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—41no—
1792C22—42no—
1793C22—44no—
1794C22—42no—
1795C22—1616no—
1796C22C23×#4111yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22H(7,𝔽2)11yescharacteristic
1802C222−1+611yescharacteristic
1803C4—24no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—24no—
1808C4—44no—
1809C4—41no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—42no—
1814C4—44no—
1815C4—42no—
1816C4—41no—
1817C4—42no—
1818C4—42no—
1819C4—41no—
1820C4—41no—
1821C4—42no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—42no—
1826C4—44no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4#346014yes—
1831C4#351914yes—
1832C2—44no—
1833C2—44no—
1834C2—81no—
1835C2—82no—
1836C2—84no—
1837C2—82no—
1838C2C2×#346011yescharacteristic
1839C2C2×#351911yescharacteristic
1840C2#6285711yescharacteristic
1841C2#6291211yescharacteristic
1842C2#6291411yescharacteristic
1843C2#6292111yescharacteristic
1844C2#6292311yescharacteristic
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. #42606C2semidirect
2. #42584C2semidirect
3. #42583C2semidirect
4. #42566C2semidirect
5. #41349C2semidirect
6. #41212C2semidirect
7. #39438C2semidirect
8. #39387C2semidirect
9. #39362C2semidirect
10. #39342C2semidirect
11. #39340C2semidirect
12. #39191C2semidirect
13. #39148C2semidirect
14. #39057C2semidirect
15. #38964C2semidirect
16. #38940C2semidirect
17. #37780C2semidirect
18. #37748C2semidirect
19. #37516C2semidirect
20. #37492C2semidirect
21. #36921C2semidirect
22. #36914C2semidirect
23. #35524C2semidirect
24. #35522C2semidirect
25. #35288C2semidirect
26. #35256C2semidirect
27. #35238C2semidirect
28. #35230C2semidirect
29. #35196C2semidirect
30. #35195C2semidirect
31. #34925C2semidirect
32. #34914C2semidirect
33. #34310C2semidirect
34. C4×#547C2semidirect
35. #34086C2semidirect
38. C2×#542C22semidirect
39. C2×#537C22semidirect
43. C2×#532C22semidirect
44. C2×#532C22semidirect
45. C2×#529C22semidirect
47. C2×C4×#41C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
54. #2852C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2830C22semidirect
59. #2829C22semidirect
60. #2826C22semidirect
61. #2824C22semidirect
62. #2793C22semidirect
63. #2781C22semidirect
64. #2775C22semidirect
65. #2763C22semidirect
66. #2761C22semidirect
67. #2753C22semidirect
68. #2749C22semidirect
69. #2749C22semidirect
70. #2737C22semidirect
71. #2730C22semidirect
72. #2720C22semidirect
73. #2711C22semidirect
74. #2709C22semidirect
75. #2705C22semidirect
76. #2700C22semidirect
77. #2700C22semidirect
78. #2699C22semidirect
79. #2688C22semidirect
80. #2688C22semidirect
81. #2688C22semidirect
82. #2686C22semidirect
83. #2685C22semidirect
84. #2684C22semidirect
85. #2684C22semidirect
88. #2676C22semidirect
89. #2672C22semidirect
90. #2671C22semidirect
93. #2668C22semidirect
94. #2665C22semidirect
95. #2662C22semidirect
96. #2662C22semidirect
97. #2651C22semidirect
98. #2650C22semidirect
99. #2649C22semidirect
100. #2648C22semidirect
101. #2644C22semidirect
102. #2644C22semidirect
104. #2636C22semidirect
105. #2631C22semidirect
106. #2628C22semidirect
107. #2626C22semidirect
109. #2624C22semidirect
110. #2622C22semidirect
112. #2620C22semidirect
113. #2620C22semidirect
114. #2619C22semidirect
115. #2616C22semidirect
117. #2600C22semidirect
119. #2571C22semidirect
120. #2567C22semidirect
121. #2566C22semidirect
122. #2563C22semidirect
123. #2560C22semidirect
124. #2559C22semidirect
125. #2558C22semidirect
126. #2557C22semidirect
127. #2555C22semidirect
128. #2551C22semidirect
129. #2548C22semidirect
131. #2544C22semidirect
132. #2542C22semidirect
136. #2538C22semidirect
139. #2537C22semidirect
140. #2535C22semidirect
141. #2534C22semidirect
142. #2521C22semidirect
143. #2516C22semidirect
144. #2515C22semidirect
145. #2513C22semidirect
147. #2512C22semidirect
148. #2508C22semidirect
149. #2506C22semidirect
150. #2504C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
153. #2496C22semidirect
154. #2495C22semidirect
155. #2492C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2490C22semidirect
161. #2487C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2480C22semidirect
165. #2477C22semidirect
166. #2472C22semidirect
167. #2472C22semidirect
168. #2471C22semidirect
169. #2467C22semidirect
170. #2463C22semidirect
171. #2460C22semidirect
172. #2459C22semidirect
173. #2456C22semidirect
174. #2456C22semidirect
175. #2454C22semidirect
177. #2452C22semidirect
178. #2450C22semidirect
179. #2448C22semidirect
180. #2447C22semidirect
182. #2445C22semidirect
183. #2444C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2439C22semidirect
187. #2439C22semidirect
191. #2430C22semidirect
192. #2430C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
215. #2418C22semidirect
216. #2417C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2416C22semidirect
223. #2414C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2404C22semidirect
231. #2398C22semidirect
232. #2392C22semidirect
233. #2388C22semidirect
235. #2365C22semidirect
237. #2362C22semidirect
240. #2359C22semidirect
245. D4×C4⋊C4C22semidirect
246. #2344C22semidirect
247. #2339C22semidirect
250. #2337C22semidirect
251. #2337C22semidirect
252. #2333C22semidirect
253. #2333C22semidirect
254. #2331C22semidirect
255. #2331C22semidirect
258. #2328C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
268. #2320C22semidirect
269. #2319C22semidirect
270. #2317C22semidirect
271. #2314C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×#123C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
288. #2293C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
987. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#426062
#425842
#425832
#425662
#413492
#412122
#394382
#393872
#393622
#393422
#393402
#391912
#391482
#390572
#389642
#389402
#377802
#377482
#375162
#374922
#369212
#369142
#355242
#355222
#352882
#352562
#352382
#352302
#351962
#351952
#349252
#349142
#343102
C4×#5472
#340862