Finite Group Databasebeta

← #7709699

Subgroups — #7709699

Order 512.

5856 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59224C212yesmaximal, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59134C211yesmaximal, characteristic, complemented
4#59127C211yesmaximal, characteristic, complemented
5#59126C211yesmaximal, characteristic
6#59030C212yesmaximal, complemented
7#46061C212yesmaximal, complemented
8#46048C212yesmaximal, complemented
9#45836C214yesmaximal, complemented
10#40121C212yesmaximal, complemented
11#40049C212yesmaximal, complemented
12#39202C211yesmaximal, characteristic, complemented
13#39171C211yesmaximal, characteristic, complemented
14#39123C212yesmaximal, complemented
15#38987C211yesmaximal, characteristic, complemented
16#38957C211yesmaximal, characteristic, complemented
17#38906C212yesmaximal, complemented
18#38572C214yesmaximal, complemented
19#38285C212yesmaximal, complemented
20#38250C212yesmaximal, complemented
21#38196C214yesmaximal, complemented
22#37492C212yesmaximal, complemented
23#37041C214yesmaximal, complemented
24#36638C211yesmaximal, characteristic, complemented
25C2×#2858C211yesmaximal, characteristic, complemented
26#36597C211yesmaximal, characteristic, complemented
27#36591C211yesmaximal, characteristic, complemented
28#36115C211yesmaximal, characteristic, complemented
29#36111C212yesmaximal, complemented
30D4×#124C212yesmaximal, complemented
31D4×#124C211yesmaximal, characteristic, complemented
32#35136C212yesmaximal, complemented
33#35131C212yesmaximal, complemented
34#34471C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#556C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×D4×Q8C2212yescomplemented
40C2×D42C2212yes—
41C2×D42C2211yescharacteristic
42C2×D42C2212yes—
43C22×C4⋊Q8C2211yescharacteristic, complemented
44C22×#127C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×#529C2212yescomplemented
47C22×#124C2212yescomplemented
48C22×#124C2212yescomplemented
49C22×#124C2212yescomplemented
50#2866C2212yescomplemented
51#2865C2212yescomplemented
52#2864C2211yescharacteristic, complemented
53#2863C2211yescharacteristic, complemented
54#2861C2212yescomplemented
55#2861C2211yescharacteristic, complemented
56#2860C2211yescharacteristic, complemented
57#2858C2211yescharacteristic
58#2858C2211yescharacteristic
59#2858C2211yescharacteristic, complemented
60#2858C2212yescomplemented
61#2858C2212yescomplemented
62#2858C2211yescharacteristic, complemented
63#2858C2212yescomplemented
64#2858C2212yescomplemented
65#2858C2212yescomplemented
66#2858C2212yescomplemented
67#2858C2212yescomplemented
68#2855C2211yescharacteristic, complemented
69#2854C2211yescharacteristic
70#2853C2212yescomplemented
71#2852C2212yescomplemented
72#2851C2211yescharacteristic, complemented
73#2850C2211yescharacteristic
74#2850C2212yescomplemented
75#2850C2212yescomplemented
76#2830C2214yescomplemented
77#2829C2214yescomplemented
78#2803C2214yescomplemented
79#2797C2214yescomplemented
80#2797C2214yescomplemented
81#2786C2214yescomplemented
82#2784C2214yescomplemented
83#2756C2214yescomplemented
84#2752C2214yescomplemented
85#2749C2214yescomplemented
86#2740C2214yescomplemented
87#2737C2214yescomplemented
88#2737C2214yescomplemented
89#2731C2214yescomplemented
90#2731C2214yescomplemented
91#2730C2214yescomplemented
92#2730C2214yescomplemented
93#2716C2214yescomplemented
94#2709C2214yescomplemented
95#2705C2214yescomplemented
96#2697C2214yescomplemented
97#2696C2214yescomplemented
98#2696C2214yescomplemented
99#2691C2214yescomplemented
100#2686C2214yescomplemented
101#2686C2214yescomplemented
102#2685C2214yescomplemented
103#2685C2214yescomplemented
104#2685C2214yescomplemented
105#2685C2214yescomplemented
106#2684C2214yescomplemented
107#2684C2214yescomplemented
108#2677C2214yescomplemented
109#2669C2214yes—
110#2662C2214yescomplemented
111#2662C2214yescomplemented
112#2651C2214yescomplemented
113#2648C2214yescomplemented
114#2644C2212yescomplemented
115#2640C2212yescomplemented
116#2626C2214yescomplemented
117#2624C2212yescomplemented
118#2622C2214yescomplemented
119#2620C2212yescomplemented
120#2610C2214yescomplemented
121#2610C2214yescomplemented
122#2595C2214yescomplemented
123#2568C2211yescharacteristic, complemented
124#2563C2212yescomplemented
125#2561C2214yescomplemented
126#2557C2214yescomplemented
127#2554C2214yescomplemented
128#2554C2214yescomplemented
129#2551C2212yescomplemented
130#2548C2211yescharacteristic
131#2548C2211yescharacteristic
132#2548C2212yescomplemented
133#2547C2211yescharacteristic, complemented
134#2547C2212yescomplemented
135#2546C2211yescharacteristic, complemented
136#2545C2212yescomplemented
137#2545C2212yescomplemented
138#2545C2212yescomplemented
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2544C2212yescomplemented
142#2544C2212yescomplemented
143#2544C2212yescomplemented
144#2542C2211yescharacteristic, complemented
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2534C2214yescomplemented
148#2531C2214yescomplemented
149#2526C2214yescomplemented
150#2521C2214yescomplemented
151#2516C2214yescomplemented
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2512C2212yescomplemented
155#2500C2212yescomplemented
156#2492C2212yescomplemented
157#2491C2214yescomplemented
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2491C2214yescomplemented
161#2490C2212yescomplemented
162#2481C2214yescomplemented
163#2480C2214yescomplemented
164#2476C2214yescomplemented
165#2474C2214yescomplemented
166#2472C2214yescomplemented
167#2472C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2471C2214yescomplemented
173#2471C2214yescomplemented
174#2467C2214yescomplemented
175#2459C2214yescomplemented
176#2454C2212yescomplemented
177#2452C2212yescomplemented
178#2449C2214yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2447C2212yescomplemented
186#2446C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2440C2212yescomplemented
191#2439C2212yescomplemented
192#2436C2212yes—
193#2436C2212yescomplemented
194#2436C2212yescomplemented
195#2436C2212yescomplemented
196#2435C2212yescomplemented
197#2435C2212yescomplemented
198#2435C2212yescomplemented
199#2435C2212yescomplemented
200#2435C2212yescomplemented
201#2435C2212yescomplemented
202#2434C2212yescomplemented
203#2433C2212yes—
204#2433C2212yes—
205#2429C2212yescomplemented
206#2428C2212yes—
207#2428C2212yes—
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2420C2212yescomplemented
217#2418C2214yescomplemented
218#2417C2212yescomplemented
219#2412C2214yescomplemented
220#2411C2214yescomplemented
221#2411C2214yescomplemented
222#2409C2212yescomplemented
223#2408C2212yes—
224#2408C2212yes—
225#2405C2214yescomplemented
226#2405C2214yescomplemented
227#2403C2214yes—
228#2377C2214yescomplemented
229#2375C2214yescomplemented
230#2367C2212yescomplemented
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic, complemented
233#2366C2212yescomplemented
234#2365C2211yescharacteristic, complemented
235#2365C2211yescharacteristic, complemented
236#2363C2212yescomplemented
237#2363C2212yescomplemented
238#2361C2212yes—
239#2358C2214yescomplemented
240#2357C2212yescomplemented
241#2354C2212yescomplemented
242#2352C2212yescomplemented
243#2342C2214yescomplemented
244Q8×C22⋊C4C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246D4×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2214yescomplemented
248D4×C22⋊C4C2212yescomplemented
249D4×C22⋊C4C2212yescomplemented
250D4×C22⋊C4C2214yescomplemented
251#2335C2214yescomplemented
252#2333C2214yescomplemented
253#2328C2212yescomplemented
254#2324C2212yescomplemented
255#2321C2214yescomplemented
256#2321C2214yescomplemented
257#2321C2214yescomplemented
258#2319C2212yescomplemented
259#2309C2212yescomplemented
260#2308C2214yescomplemented
261C4×#125C2211yescharacteristic, complemented
262C4×#125C2211yescharacteristic, complemented
263C4×#125C2211yescharacteristic, complemented
264C4×#126C2212yescomplemented
265C4×#126C2212yescomplemented
266C4×#126C2212yescomplemented
267C4×#124C2211yescharacteristic, complemented
268C4×#124C2211yescharacteristic, complemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×#124C2211yescharacteristic, complemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×C22⋊Q8C2211yescharacteristic, complemented
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2211yescharacteristic
281#2298C2212yescomplemented
282#2298C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2295C2211yescharacteristic, complemented
285#2293C2211yescharacteristic, complemented
286#2293C2211yescharacteristic, complemented
287C2×#390C2212yescomplemented
288C2×#390C2212yescomplemented
289C2×#390C2212yescomplemented
290C2×#390C2212yescomplemented
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2212yescomplemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301C23×D4C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#559—44no—
308#556—44no—
309D4×Q8—44no—
310D4×Q8—48no—
311D42—216no—
312D42—44no—
313D42—48no—
314C2×C4⋊Q8—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2314yes—
323C2×#127—44no—
324C2×#127C2312yes—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331#529—28no—
332#529—48no—
333C2×#126C2312yes—
334C2×#126C2312yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#125C2311yescharacteristic
338C2×#125C2311yescharacteristic
339C2×#124—48no—
340C2×#124—48no—
341C2×#124—48no—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2311yescharacteristic
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2314yes—
354C2×#124C2314yes—
355C2×#124C2314yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2311yescharacteristic
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C42C2311yescharacteristic
433C22×C42C2312yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#400C2314yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
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#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2312yes—
534#391C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#386C2312yes—
685#386C2312yes—
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#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#384C2312yes—
731#383C2312yes—
732#383C2312yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2311yescharacteristic
738#381C2312yes—
739#381C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2312yes—
824C25C2414yes—
825C25C2414yes—
826C22×Q8—28no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2414yes—
838C22×D4—28no—
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—48no—
855C22×D4—48no—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897C4⋊Q8—44no—
898C4⋊Q8—48no—
899#127—28no—
900#127—24no—
901#127—24no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—44no—
906#126—28no—
907#126—44no—
908#126—48no—
909#126—48no—
910#125—24no—
911#125—24no—
912#124—24no—
913#124—24no—
914#124—28no—
915#124—28no—
916#124—48no—
917#124—48no—
918#124—48no—
919#124—48no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—44no—
927#124—44no—
928#124—48no—
929#124—48no—
930#124—44no—
931#124—44no—
932#124—44no—
933#124—44no—
934#123—28no—
935#123—48no—
936#123—44no—
937#123—48no—
938#123—48no—
939C22⋊Q8—24no—
940C22⋊Q8—24no—
941C22⋊Q8—48no—
942C22⋊Q8—48no—
943C22⋊Q8—48no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948#121—24no—
949#121—28no—
950#121—216no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121#4118yes—
958#120—216no—
959#120—216no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—42no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×D4—24no—
972C4×D4—28no—
973C4×D4—28no—
974C4×D4—28no—
975C4×D4—28no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—42no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—48no—
986C4×D4—44no—
987C4×D4—48no—
988#117—28no—
989#117—44no—
990#117—44no—
991#117—48no—
992#117—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C22⋊C4—48no—
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C42—24no—
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—28no—
1127C2×C42—24no—
1128C2×C42—42no—
1129C2×C42—42no—
1130C2×C42—42no—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2414yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
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#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24—28no—
1231C24—28no—
1232C24—28no—
1233C24—28no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24—44no—
1244C24C2512yes—
1245C24C2514yes—
1246C24C2514yes—
1247C24C2512yes—
1248C24C2511yescharacteristic
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—24no—
1260C2×Q8—28no—
1261C2×Q8—22no—
1262C2×Q8—44no—
1263C2×Q8—44no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8—44no—
1267C2×Q8—816no—
1268C2×Q8—816no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—28no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—816no—
1325C2×D4—816no—
1326C2×D4—816no—
1327C2×D4—816no—
1328C2×D4—816no—
1329C2×D4—832no—
1330C2×D4C2×#4118yes—
1331C2×D4C2×#4114yes—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—28no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—24no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4C2×#4114yes—
1379C22×C4H(5,𝔽2)14yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4C2×#4114yes—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4C2×#4118yes—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—24no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—24no—
1558C42—41no—
1559C42—41no—
1560C42—41no—
1561C42—41no—
1562C42—41no—
1563C42—41no—
1564C42—41no—
1565C42—41no—
1566C42—42no—
1567C42—44no—
1568C42—44no—
1569C42—42no—
1570C42—44no—
1571C42—42no—
1572C42H(5,𝔽2)14yes—
1573C42H(5,𝔽2)14yes—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—24no—
1587C23—24no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—24no—
1594C23—24no—
1595C23—24no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—416no—
1606C23—88no—
1607C23—88no—
1608C23—88no—
1609C23—88no—
1610C23—88no—
1611C23—88no—
1612C23—88no—
1613C23—88no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—164no—
1618C23—164no—
1619C23C22×#4114yes—
1620C23C22×#4112yes—
1621C23C2×H(5,𝔽2)12yes—
1622C23#58512yes—
1623C23C2611yescharacteristic
1624Q8—44no—
1625Q8—48no—
1626Q8—44no—
1627Q8—48no—
1628Q8—88no—
1629Q8—88no—
1630D4—216no—
1631D4—28no—
1632D4—48no—
1633D4—48no—
1634D4—48no—
1635D4—48no—
1636D4—44no—
1637D4—48no—
1638D4—88no—
1639D4—88no—
1640D4—88no—
1641D4—84no—
1642D4—84no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—164no—
1649C2×C4—28no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—28no—
1665C2×C4—28no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
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—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—84no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4—164no—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4114yes—
1744C2×C4C22×#4112yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
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×C4C2×H(5,𝔽2)12yes—
1753C2×C4#58512yes—
1754C2×C4#58512yes—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—44no—
1769C22—42no—
1770C22—44no—
1771C22—44no—
1772C22—42no—
1773C22—44no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—44no—
1778C22—44no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—44no—
1783C22—44no—
1784C22—44no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—44no—
1789C22—1616no—
1790C22—1616no—
1791C22#351414yes—
1792C22C23×#4111yescharacteristic
1793C22C22×H(5,𝔽2)11yescharacteristic
1794C22C22×H(5,𝔽2)11yescharacteristic
1795C22C22×H(5,𝔽2)11yescharacteristic
1796C22C2×#58511yescharacteristic
1797C22C2×#58511yescharacteristic
1798C22C2×#58511yescharacteristic
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—24no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—42no—
1807C4—42no—
1808C4—44no—
1809C4—44no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—41no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—41no—
1826C4—42no—
1827C4#351414yes—
1828C4#354314yes—
1829C2—24no—
1830C2—44no—
1831C2—84no—
1832C2—82no—
1833C2—84no—
1834C2C2×#354311yescharacteristic
1835C2#6274811yescharacteristic
1836C2C2×#351411yescharacteristic
1837C2C2×#351411yescharacteristic
1838C2#6280011yescharacteristic
1839C2#6282411yescharacteristic
1840C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59126C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59224C2semidirect
2. #59143C2semidirect
3. #59134C2semidirect
4. #59127C2semidirect
6. #59030C2semidirect
7. #46061C2semidirect
8. #46048C2semidirect
9. #45836C2semidirect
10. #40121C2semidirect
11. #40049C2semidirect
12. #39202C2semidirect
13. #39171C2semidirect
14. #39123C2semidirect
15. #38987C2semidirect
16. #38957C2semidirect
17. #38906C2semidirect
18. #38572C2semidirect
19. #38285C2semidirect
20. #38250C2semidirect
21. #38196C2semidirect
22. #37492C2semidirect
23. #37041C2semidirect
24. #36638C2semidirect
25. C2×#2858C2semidirect
26. #36597C2semidirect
27. #36591C2semidirect
28. #36115C2semidirect
29. #36111C2semidirect
30. D4×#124C2semidirect
31. D4×#124C2semidirect
32. #35136C2semidirect
33. #35131C2semidirect
34. #34471C2semidirect
35. C4×#529C2semidirect
36. C2×#559C22semidirect
37. C2×#556C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×D4×Q8C22semidirect
43. C22×C4⋊Q8C22semidirect
46. C2×#529C22semidirect
47. C22×#124C22semidirect
48. C22×#124C22semidirect
49. C22×#124C22semidirect
50. #2866C22semidirect
51. #2865C22semidirect
52. #2864C22semidirect
53. #2863C22semidirect
54. #2861C22semidirect
55. #2861C22semidirect
56. #2860C22semidirect
59. #2858C22semidirect
60. #2858C22semidirect
61. #2858C22semidirect
62. #2858C22semidirect
63. #2858C22semidirect
64. #2858C22semidirect
65. #2858C22semidirect
66. #2858C22semidirect
67. #2858C22semidirect
68. #2855C22semidirect
70. #2853C22semidirect
71. #2852C22semidirect
72. #2851C22semidirect
74. #2850C22semidirect
75. #2850C22semidirect
76. #2830C22semidirect
77. #2829C22semidirect
78. #2803C22semidirect
79. #2797C22semidirect
80. #2797C22semidirect
81. #2786C22semidirect
82. #2784C22semidirect
83. #2756C22semidirect
84. #2752C22semidirect
85. #2749C22semidirect
86. #2740C22semidirect
87. #2737C22semidirect
88. #2737C22semidirect
89. #2731C22semidirect
90. #2731C22semidirect
91. #2730C22semidirect
92. #2730C22semidirect
93. #2716C22semidirect
94. #2709C22semidirect
95. #2705C22semidirect
96. #2697C22semidirect
97. #2696C22semidirect
98. #2696C22semidirect
99. #2691C22semidirect
100. #2686C22semidirect
101. #2686C22semidirect
102. #2685C22semidirect
103. #2685C22semidirect
104. #2685C22semidirect
105. #2685C22semidirect
106. #2684C22semidirect
107. #2684C22semidirect
108. #2677C22semidirect
110. #2662C22semidirect
111. #2662C22semidirect
112. #2651C22semidirect
113. #2648C22semidirect
114. #2644C22semidirect
115. #2640C22semidirect
116. #2626C22semidirect
117. #2624C22semidirect
118. #2622C22semidirect
119. #2620C22semidirect
120. #2610C22semidirect
121. #2610C22semidirect
122. #2595C22semidirect
123. #2568C22semidirect
124. #2563C22semidirect
125. #2561C22semidirect
126. #2557C22semidirect
127. #2554C22semidirect
128. #2554C22semidirect
129. #2551C22semidirect
132. #2548C22semidirect
133. #2547C22semidirect
134. #2547C22semidirect
135. #2546C22semidirect
136. #2545C22semidirect
137. #2545C22semidirect
138. #2545C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2544C22semidirect
142. #2544C22semidirect
143. #2544C22semidirect
144. #2542C22semidirect
147. #2534C22semidirect
148. #2531C22semidirect
149. #2526C22semidirect
150. #2521C22semidirect
151. #2516C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2512C22semidirect
155. #2500C22semidirect
156. #2492C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2490C22semidirect
162. #2481C22semidirect
163. #2480C22semidirect
164. #2476C22semidirect
165. #2474C22semidirect
166. #2472C22semidirect
167. #2472C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2471C22semidirect
173. #2471C22semidirect
174. #2467C22semidirect
175. #2459C22semidirect
176. #2454C22semidirect
177. #2452C22semidirect
178. #2449C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2447C22semidirect
186. #2446C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2440C22semidirect
191. #2439C22semidirect
193. #2436C22semidirect
194. #2436C22semidirect
195. #2436C22semidirect
196. #2435C22semidirect
197. #2435C22semidirect
198. #2435C22semidirect
199. #2435C22semidirect
200. #2435C22semidirect
201. #2435C22semidirect
202. #2434C22semidirect
205. #2429C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2420C22semidirect
217. #2418C22semidirect
218. #2417C22semidirect
219. #2412C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
222. #2409C22semidirect
225. #2405C22semidirect
226. #2405C22semidirect
228. #2377C22semidirect
229. #2375C22semidirect
230. #2367C22semidirect
232. #2366C22semidirect
233. #2366C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
236. #2363C22semidirect
237. #2363C22semidirect
239. #2358C22semidirect
240. #2357C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2342C22semidirect
244. Q8×C22⋊C4C22semidirect
245. D4×C22⋊C4C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. D4×C22⋊C4C22semidirect
249. D4×C22⋊C4C22semidirect
250. D4×C22⋊C4C22semidirect
251. #2335C22semidirect
252. #2333C22semidirect
253. #2328C22semidirect
254. #2324C22semidirect
255. #2321C22semidirect
256. #2321C22semidirect
257. #2321C22semidirect
258. #2319C22semidirect
259. #2309C22semidirect
260. #2308C22semidirect
261. C4×#125C22semidirect
262. C4×#125C22semidirect
263. C4×#125C22semidirect
264. C4×#126C22semidirect
265. C4×#126C22semidirect
266. C4×#126C22semidirect
267. C4×#124C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
281. #2298C22semidirect
282. #2298C22semidirect
283. #2295C22semidirect
284. #2295C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. C2×#390C22semidirect
288. C2×#390C22semidirect
289. C2×#390C22semidirect
290. C2×#390C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
294. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#592242
#591432
#591342
#591272
#591262
#590302
#460612
#460482
#458362
#401212
#400492
#392022
#391712
#391232
#389872
#389572
#389062
#385722
#382852
#382502
#381962
#374922
#370412
#366382
C2×#28582
#365972
#365912
#361152
#361112
D4×#1242
#351362
#351312
#344712
C4×#5292