Finite Group Databasebeta

← #7650763

Subgroups — #7650763

Order 512.

5100 conjugacy classes of subgroups.

The subgroup lattice has 1825 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42776C212yesmaximal, complemented
2#42771C212yesmaximal, complemented
3#42726C212yesmaximal, complemented
4#42719C212yesmaximal, complemented
5#42714C212yesmaximal, complemented
6#42708C212yesmaximal, complemented
7#42641C212yesmaximal, complemented
8#42633C212yesmaximal, complemented
9#41429C214yesmaximal, complemented
10#41429C214yesmaximal, complemented
11#40223C212yesmaximal, complemented
12#40217C212yesmaximal, complemented
13#40079C212yesmaximal, complemented
14#40070C212yesmaximal, complemented
15#39664C212yesmaximal, complemented
16#39656C212yesmaximal, complemented
17#39028C212yesmaximal, complemented
18#39023C212yesmaximal, complemented
19#38460C214yesmaximal, complemented
20#37883C214yesmaximal, complemented
21#35674C211yesmaximal, characteristic, complemented
22#35672C211yesmaximal, characteristic, complemented
23#35667C211yesmaximal, characteristic, complemented
24#35661C211yesmaximal, characteristic, complemented
25#35633C211yesmaximal, characteristic, complemented
26#35633C211yesmaximal, characteristic, complemented
27#35311C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35159C211yesmaximal, characteristic, complemented
30C2×#2542C211yesmaximal, characteristic, complemented
31#34809C211yesmaximal, characteristic, complemented
32#34737C211yesmaximal, characteristic
33#34252C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34203C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#519C2211yescharacteristic
47C2×#519C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×#117C2211yescharacteristic
50C22×#117C2211yescharacteristic
51#2857C2212yescomplemented
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2851C2214yes—
55#2850C2212yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2836C2214yescomplemented
59#2836C2214yescomplemented
60#2803C2214yes—
61#2800C2214yes—
62#2793C2214yescomplemented
63#2793C2214yescomplemented
64#2793C2214yescomplemented
65#2793C2214yescomplemented
66#2791C2214yescomplemented
67#2791C2214yescomplemented
68#2791C2214yescomplemented
69#2791C2214yescomplemented
70#2780C2214yes—
71#2777C2214yescomplemented
72#2777C2214yescomplemented
73#2773C2214yescomplemented
74#2773C2214yescomplemented
75#2768C2214yescomplemented
76#2768C2214yescomplemented
77#2761C2214yes—
78#2753C2214yes—
79#2748C2214yescomplemented
80#2748C2214yescomplemented
81#2743C2214yescomplemented
82#2743C2214yescomplemented
83#2741C2214yescomplemented
84#2741C2214yescomplemented
85#2740C2214yescomplemented
86#2740C2214yescomplemented
87#2738C2214yescomplemented
88#2738C2214yescomplemented
89#2711C2214yes—
90#2707C2214yes—
91#2701C2214yes—
92#2667C2214yescomplemented
93#2667C2214yescomplemented
94#2654C2214yescomplemented
95#2654C2214yescomplemented
96#2651C2214yes—
97#2651C2214yescomplemented
98#2651C2214yescomplemented
99#2649C2214yescomplemented
100#2649C2214yescomplemented
101#2648C2214yes—
102#2647C2214yescomplemented
103#2646C2214yes—
104#2629C2214yescomplemented
105#2625C2212yescomplemented
106#2625C2212yescomplemented
107#2621C2212yescomplemented
108#2620C2212yescomplemented
109#2546C2212yescomplemented
110#2546C2212yescomplemented
111#2545C2212yescomplemented
112#2545C2212yescomplemented
113#2542C2212yes—
114#2542C2212yes—
115#2542C2212yes—
116#2542C2212yes—
117#2542C2212yes—
118#2542C2212yes—
119#2542C2212yes—
120#2542C2212yes—
121#2538C2212yescomplemented
122#2538C2212yescomplemented
123#2536C2212yescomplemented
124#2536C2212yescomplemented
125#2534C2214yes—
126#2534C2214yes—
127#2531C2214yes—
128#2526C2214yes—
129#2522C2214yescomplemented
130#2522C2214yescomplemented
131#2516C2214yescomplemented
132#2516C2214yescomplemented
133#2509C2212yescomplemented
134#2509C2212yescomplemented
135#2508C2212yescomplemented
136#2508C2212yescomplemented
137#2507C2214yescomplemented
138#2507C2212yescomplemented
139#2507C2212yescomplemented
140#2507C2214yescomplemented
141#2506C2212yescomplemented
142#2506C2212yescomplemented
143#2503C2212yescomplemented
144#2502C2212yescomplemented
145#2499C2212yescomplemented
146#2499C2212yescomplemented
147#2497C2214yescomplemented
148#2497C2214yescomplemented
149#2487C2211yescharacteristic
150#2487C2211yescharacteristic
151#2486C2211yescharacteristic
152#2486C2214yes—
153#2486C2214yes—
154#2486C2211yescharacteristic
155#2485C2211yescharacteristic
156#2485C2211yescharacteristic
157#2485C2211yescharacteristic
158#2485C2211yescharacteristic
159#2484C2214yes—
160#2484C2214yes—
161#2484C2214yes—
162#2484C2214yes—
163#2484C2212yes—
164#2483C2214yes—
165#2483C2212yes—
166#2482C2214yes—
167#2482C2212yes—
168#2476C2214yes—
169#2471C2214yes—
170#2446C2212yescomplemented
171#2446C2212yescomplemented
172#2446C2212yescomplemented
173#2446C2212yescomplemented
174#2446C2212yescomplemented
175#2446C2212yescomplemented
176#2446C2212yescomplemented
177#2446C2212yescomplemented
178#2429C2212yescomplemented
179#2429C2212yescomplemented
180#2429C2212yescomplemented
181#2429C2212yescomplemented
182#2429C2212yescomplemented
183#2429C2212yescomplemented
184#2429C2212yescomplemented
185#2429C2212yescomplemented
186#2429C2212yescomplemented
187#2429C2212yescomplemented
188#2427C2212yescomplemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2427C2212yescomplemented
192#2426C2212yescomplemented
193#2426C2212yescomplemented
194#2423C2212yescomplemented
195#2423C2212yescomplemented
196#2423C2212yescomplemented
197#2423C2212yescomplemented
198#2421C2212yescomplemented
199#2421C2212yescomplemented
200#2421C2212yescomplemented
201#2421C2212yescomplemented
202#2417C2211yescharacteristic
203#2417C2211yescharacteristic
204#2417C2212yescomplemented
205#2417C2212yescomplemented
206#2417C2212yescomplemented
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2416C2211yescharacteristic
211#2416C2211yescharacteristic
212#2415C2211yescharacteristic
213#2415C2211yescharacteristic
214#2415C2212yescomplemented
215#2415C2212yescomplemented
216#2415C2212yescomplemented
217#2415C2212yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2414C2211yescharacteristic
221#2414C2211yescharacteristic
222#2413C2214yes—
223#2413C2214yes—
224#2413C2214yes—
225#2413C2212yes—
226#2413C2214yes—
227#2412C2214yes—
228#2412C2212yes—
229#2411C2214yes—
230#2411C2212yes—
231#2410C2212yes—
232#2405C2212yes—
233#2395C2212yes—
234#2395C2212yes—
235C2×#399C2212yes—
236C2×#399C2212yes—
237#2392C2212yes—
238#2392C2212yes—
239#2362C2212yescomplemented
240#2362C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2357C2212yescomplemented
248#2356C2212yescomplemented
249#2355C2212yescomplemented
250#2354C2212yescomplemented
251#2347C2212yescomplemented
252#2346C2212yescomplemented
253#2345C2212yescomplemented
254#2344C2214yes—
255#2344C2214yes—
256#2344C2212yescomplemented
257#2342C2214yes—
258#2342C2214yes—
259#2335C2214yes—
260#2333C2214yes—
261#2330C2214yescomplemented
262#2323C2212yescomplemented
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2323C2212yescomplemented
266#2318C2214yes—
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2316C2211yescharacteristic
271#2316C2211yescharacteristic
272#2314C2214yescomplemented
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic
275#2310C2211yescharacteristic
276#2310C2211yescharacteristic
277#2310C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yes—
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#390C2212yes—
291#2290C2214yes—
292C2×#384C2212yes—
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305#536—44no—
306#536—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317#525—44no—
318#525—44no—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8—28no—
326C2×C22⋊Q8—28no—
327C2×C22⋊Q8—44no—
328C2×C22⋊Q8—44no—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#120C2312yes—
360C2×#120C2312yes—
361#520—28no—
362#519—44no—
363#519—44no—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×D4—44no—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×#117—44no—
389C2×#117—44no—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433C22×C42C2312yes—
434C22×C42C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2312yes—
480#398C2314yes—
481#398C2312yes—
482#398C2312yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2312yes—
503#397C2312yes—
504#397C2314yes—
505#397C2312yes—
506#397C2312yes—
507#397C2314yes—
508#397C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2312yes—
519#396C2314yes—
520#396C2312yes—
521#396C2312yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#392C2312yes—
546#392C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
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#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#384C2314yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2314yes—
734#384C2314yes—
735#384C2314yes—
736#383C2314yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#381C2312yes—
751#381C2312yes—
752#381C2312yes—
753#381C2312yes—
754#381C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#379C2312yes—
785#379C2312yes—
786#379C2312yes—
787#379C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823#376C2314yes—
824C2×#95C2312yes—
825C25C2411yescharacteristic
826C25C2411yescharacteristic
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—24no—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2411yescharacteristic
841C22×D4—24no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C23×C4—24no—
855C23×C4—24no—
856C23×C4—24no—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—24no—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—44no—
889#125—48no—
890#124—44no—
891#124—44no—
892#123—28no—
893#123—44no—
894#123—44no—
895#123—48no—
896#123—48no—
897#123—44no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—42no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922#121—28no—
923#121—44no—
924#121—42no—
925#121—42no—
926#121—42no—
927#121—42no—
928#120—44no—
929#120—44no—
930C4×Q8—28no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×D4—216no—
940C4×D4—28no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953#117—24no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—24no—
959#117—24no—
960#117—28no—
961#117—44no—
962#117—44no—
963#117—48no—
964#117—44no—
965#117—44no—
966#117—48no—
967#117—48no—
968#117—42no—
969#117—42no—
970#117—42no—
971#117—42no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4—28no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—42no—
979C2×C4⋊C4—42no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4#4118yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C22⋊C4—28no—
1060C2×C22⋊C4—28no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—42no—
1064C2×C22⋊C4—42no—
1065C2×C22⋊C4—44no—
1066C2×C22⋊C4—44no—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C42—24no—
1130C2×C42—44no—
1131C2×C42—44no—
1132C2×C42—44no—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—41no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237C24C2512yes—
1238C24C2511yescharacteristic
1239C24C2511yescharacteristic
1240C24C2511yescharacteristic
1241#41—416no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—416no—
1258C2×Q8—416no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—416no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D42−1+414yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—28no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—416no—
1356C22×C4—416no—
1357C22×C4C2×#4118yes—
1358C22×C4C2×#4114yes—
1359C22×C4H(5,𝔽2)14yes—
1360C22×C4H(5,𝔽2)14yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2514yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C4⋊C4—22no—
1391C4⋊C4—28no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4C2×#4118yes—
1462C4⋊C4C2×#4118yes—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C42—28no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—28no—
1538C42—44no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—42no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—21no—
1574C23—22no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—22no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—82no—
1599C23—82no—
1600C23C22×#4112yes—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2×2−1+412yes—
1604C23C2×2−1+412yes—
1605C23C2611yescharacteristic
1606Q8—48no—
1607Q8—48no—
1608Q8—48no—
1609Q8—48no—
1610Q8—44no—
1611D4—44no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—48no—
1616D4—44no—
1617D4—84no—
1618D4—84no—
1619D4—84no—
1620D4—84no—
1621C2×C4—28no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—48no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—88no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—84no—
1721C2×C4#540116yes—
1722C2×C4C22×#4118yes—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4#58512yes—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—42no—
1752C22—41no—
1753C22—41no—
1754C22—42no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—41no—
1763C22—41no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—41no—
1772C22—88no—
1773C22—88no—
1774C22C2×#54014yes—
1775C22C23×#4111yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C22×H(5,𝔽2)11yescharacteristic
1778C22C22×2−1+411yescharacteristic
1779C22C2×#58511yescharacteristic
1780C222−1+611yescharacteristic
1781C222−1+611yescharacteristic
1782C4—28no—
1783C4—22no—
1784C4—22no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4—44no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—44no—
1805C4—44no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4C2×#54014yes—
1810C4C2×#54014yes—
1811C2—24no—
1812C2—42no—
1813C2—42no—
1814C2—82no—
1815C2—81no—
1816C2—81no—
1817C2C22×#54011yescharacteristic
1818C2#6281911yescharacteristic
1819C2#6288611yescharacteristic
1820C2#6292511yescharacteristic
1821C2#6294211yescharacteristic
1822C2#6299111yescharacteristic
1823C2#6299811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34737C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42776C2semidirect
2. #42771C2semidirect
3. #42726C2semidirect
4. #42719C2semidirect
5. #42714C2semidirect
6. #42708C2semidirect
7. #42641C2semidirect
8. #42633C2semidirect
9. #41429C2semidirect
10. #41429C2semidirect
11. #40223C2semidirect
12. #40217C2semidirect
13. #40079C2semidirect
14. #40070C2semidirect
15. #39664C2semidirect
16. #39656C2semidirect
17. #39028C2semidirect
18. #39023C2semidirect
19. #38460C2semidirect
20. #37883C2semidirect
21. #35674C2semidirect
22. #35672C2semidirect
23. #35667C2semidirect
24. #35661C2semidirect
25. #35633C2semidirect
26. #35633C2semidirect
27. #35311C2semidirect
28. #35306C2semidirect
29. #35159C2semidirect
30. C2×#2542C2semidirect
31. #34809C2semidirect
33. #34252C2semidirect
34. #34203C2semidirect
35. #34203C2semidirect
51. #2857C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
55. #2850C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2836C22semidirect
59. #2836C22semidirect
62. #2793C22semidirect
63. #2793C22semidirect
64. #2793C22semidirect
65. #2793C22semidirect
66. #2791C22semidirect
67. #2791C22semidirect
68. #2791C22semidirect
69. #2791C22semidirect
71. #2777C22semidirect
72. #2777C22semidirect
73. #2773C22semidirect
74. #2773C22semidirect
75. #2768C22semidirect
76. #2768C22semidirect
79. #2748C22semidirect
80. #2748C22semidirect
81. #2743C22semidirect
82. #2743C22semidirect
83. #2741C22semidirect
84. #2741C22semidirect
85. #2740C22semidirect
86. #2740C22semidirect
87. #2738C22semidirect
88. #2738C22semidirect
92. #2667C22semidirect
93. #2667C22semidirect
94. #2654C22semidirect
95. #2654C22semidirect
97. #2651C22semidirect
98. #2651C22semidirect
99. #2649C22semidirect
100. #2649C22semidirect
102. #2647C22semidirect
104. #2629C22semidirect
105. #2625C22semidirect
106. #2625C22semidirect
107. #2621C22semidirect
108. #2620C22semidirect
109. #2546C22semidirect
110. #2546C22semidirect
111. #2545C22semidirect
112. #2545C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
123. #2536C22semidirect
124. #2536C22semidirect
129. #2522C22semidirect
130. #2522C22semidirect
131. #2516C22semidirect
132. #2516C22semidirect
133. #2509C22semidirect
134. #2509C22semidirect
135. #2508C22semidirect
136. #2508C22semidirect
137. #2507C22semidirect
138. #2507C22semidirect
139. #2507C22semidirect
140. #2507C22semidirect
141. #2506C22semidirect
142. #2506C22semidirect
143. #2503C22semidirect
144. #2502C22semidirect
145. #2499C22semidirect
146. #2499C22semidirect
147. #2497C22semidirect
148. #2497C22semidirect
170. #2446C22semidirect
171. #2446C22semidirect
172. #2446C22semidirect
173. #2446C22semidirect
174. #2446C22semidirect
175. #2446C22semidirect
176. #2446C22semidirect
177. #2446C22semidirect
178. #2429C22semidirect
179. #2429C22semidirect
180. #2429C22semidirect
181. #2429C22semidirect
182. #2429C22semidirect
183. #2429C22semidirect
184. #2429C22semidirect
185. #2429C22semidirect
186. #2429C22semidirect
187. #2429C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2423C22semidirect
195. #2423C22semidirect
196. #2423C22semidirect
197. #2423C22semidirect
198. #2421C22semidirect
199. #2421C22semidirect
200. #2421C22semidirect
201. #2421C22semidirect
204. #2417C22semidirect
205. #2417C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
214. #2415C22semidirect
215. #2415C22semidirect
216. #2415C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2357C22semidirect
248. #2356C22semidirect
249. #2355C22semidirect
250. #2354C22semidirect
251. #2347C22semidirect
252. #2346C22semidirect
253. #2345C22semidirect
256. #2344C22semidirect
261. #2330C22semidirect
262. #2323C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
272. #2314C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#427762
#427712
#427262
#427192
#427142
#427082
#426412
#426332
#414292
#402232
#402172
#400792
#400702
#396642
#396562
#390282
#390232
#384602
#378832
#356742
#356722
#356672
#356612
#356332
#353112
#353062
#351592
C2×#25422
#348092
#347372
#342522
#342032