Finite Group Databasebeta

← #7650807

Subgroups — #7650807

Order 512.

5483 conjugacy classes of subgroups.

The subgroup lattice has 1907 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42784C212yesmaximal, complemented
2#42730C212yesmaximal, complemented
3#42664C212yesmaximal, complemented
4#42617C212yesmaximal, complemented
5#42533C212yesmaximal, complemented
6#42468C212yesmaximal, complemented
7#42468C212yesmaximal, complemented
8#42460C212yesmaximal, complemented
9#41445C214yesmaximal, complemented
10#40723C214yesmaximal, complemented
11#40146C212yesmaximal, complemented
12#40126C212yesmaximal, complemented
13#39929C212yesmaximal, complemented
14#39906C212yesmaximal, complemented
15#39785C212yesmaximal, complemented
16#39148C212yesmaximal, complemented
17#38998C212yesmaximal, complemented
18#38942C212yesmaximal, complemented
19#38510C214yesmaximal, complemented
20#37903C214yesmaximal, complemented
21#35618C211yesmaximal, characteristic, complemented
22#35565C211yesmaximal, characteristic, complemented
23#35564C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35531C211yesmaximal, characteristic, complemented
26#35518C211yesmaximal, characteristic, complemented
27#35256C211yesmaximal, characteristic, complemented
28#35252C211yesmaximal, characteristic, complemented
29#35165C211yesmaximal, characteristic, complemented
30#34810C211yesmaximal, characteristic, complemented
31#34743C211yesmaximal, characteristic, complemented
32C2×#2420C211yesmaximal, characteristic, complemented
33#34265C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×#117C2211yescharacteristic
51#2856C2212yes—
52#2856C2212yescomplemented
53#2850C2212yes—
54#2850C2212yescomplemented
55#2847C2214yes—
56#2837C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2803C2214yescomplemented
61#2800C2214yescomplemented
62#2780C2214yescomplemented
63#2777C2214yescomplemented
64#2761C2214yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2752C2214yescomplemented
70#2752C2214yescomplemented
71#2749C2214yescomplemented
72#2749C2214yescomplemented
73#2749C2214yescomplemented
74#2743C2214yescomplemented
75#2740C2214yescomplemented
76#2740C2214yescomplemented
77#2740C2214yescomplemented
78#2738C2214yescomplemented
79#2711C2214yescomplemented
80#2709C2214yescomplemented
81#2709C2214yescomplemented
82#2707C2214yescomplemented
83#2701C2214yescomplemented
84#2699C2214yescomplemented
85#2699C2214yescomplemented
86#2699C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2667C2214yescomplemented
93#2661C2214yescomplemented
94#2661C2214yescomplemented
95#2654C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2644C2214yescomplemented
100#2641C2214yescomplemented
101#2635C2214yescomplemented
102#2635C2214yescomplemented
103#2630C2214yescomplemented
104#2620C2212yes—
105#2620C2212yescomplemented
106#2619C2212yes—
107#2619C2212yescomplemented
108#2617C2214yes—
109#2571C2212yescomplemented
110#2570C2212yescomplemented
111#2570C2212yescomplemented
112#2552C2212yescomplemented
113#2547C2212yescomplemented
114#2544C2212yescomplemented
115#2544C2212yescomplemented
116#2543C2214yes—
117#2541C2212yes—
118#2541C2212yes—
119#2541C2212yes—
120#2541C2212yes—
121#2541C2212yescomplemented
122#2540C2212yes—
123#2540C2212yes—
124#2540C2212yes—
125#2540C2212yes—
126#2539C2214yes—
127#2538C2212yescomplemented
128#2537C2212yescomplemented
129#2537C2212yescomplemented
130#2537C2212yescomplemented
131#2536C2212yescomplemented
132#2535C2212yescomplemented
133#2535C2212yescomplemented
134#2535C2212yescomplemented
135#2531C2214yescomplemented
136#2531C2214yescomplemented
137#2526C2214yescomplemented
138#2526C2214yescomplemented
139#2516C2214yescomplemented
140#2509C2212yescomplemented
141#2508C2212yescomplemented
142#2507C2212yescomplemented
143#2506C2212yescomplemented
144#2505C2214yes—
145#2504C2212yescomplemented
146#2504C2212yescomplemented
147#2504C2211yescharacteristic, complemented
148#2503C2212yescomplemented
149#2503C2211yescharacteristic, complemented
150#2502C2211yescharacteristic, complemented
151#2501C2212yescomplemented
152#2501C2211yescharacteristic, complemented
153#2500C2211yescharacteristic, complemented
154#2500C2212yescomplemented
155#2500C2212yescomplemented
156#2500C2212yescomplemented
157#2500C2211yescharacteristic, complemented
158#2499C2212yescomplemented
159#2499C2211yescharacteristic, complemented
160#2499C2211yescharacteristic, complemented
161#2498C2212yes—
162#2498C2212yes—
163#2490C2214yescomplemented
164#2473C2214yes—
165#2464C2214yescomplemented
166#2457C2214yescomplemented
167#2457C2214yescomplemented
168#2448C2212yescomplemented
169#2448C2212yescomplemented
170#2445C2212yescomplemented
171#2445C2212yescomplemented
172#2444C2214yes—
173#2444C2214yes—
174#2433C2214yes—
175#2429C2211yescharacteristic, complemented
176#2429C2212yescomplemented
177#2429C2211yescharacteristic, complemented
178#2428C2214yescomplemented
179#2428C2214yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2428C2211yescharacteristic, complemented
183#2428C2212yescomplemented
184#2428C2211yescharacteristic, complemented
185#2427C2211yescharacteristic, complemented
186#2427C2211yescharacteristic, complemented
187#2427C2212yescomplemented
188#2426C2212yescomplemented
189#2426C2212yescomplemented
190#2426C2212yescomplemented
191#2426C2211yescharacteristic, complemented
192#2426C2211yescharacteristic, complemented
193#2425C2212yes—
194#2425C2214yes—
195#2425C2212yes—
196#2424C2214yes—
197#2424C2212yes—
198#2424C2214yes—
199#2424C2212yes—
200#2424C2214yes—
201#2421C2212yescomplemented
202#2421C2212yescomplemented
203#2420C2212yes—
204#2420C2212yes—
205#2420C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2214yescomplemented
212#2420C2212yescomplemented
213#2420C2212yescomplemented
214#2418C2214yes—
215#2418C2214yes—
216#2417C2212yescomplemented
217#2417C2212yescomplemented
218#2416C2214yes—
219#2416C2212yes—
220#2416C2212yes—
221#2416C2212yescomplemented
222#2416C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2414C2212yes—
226#2414C2212yes—
227#2414C2212yescomplemented
228#2414C2212yescomplemented
229#2412C2212yes—
230#2412C2212yes—
231#2411C2214yes—
232#2410C2214yes—
233#2395C2212yescomplemented
234#2395C2212yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237C2×#397C2212yes—
238C2×#394C2212yes—
239#2367C2212yescomplemented
240#2367C2212yescomplemented
241#2366C2212yescomplemented
242#2366C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2359C2214yes—
248#2358C2214yes—
249#2357C2212yescomplemented
250#2357C2212yescomplemented
251#2356C2212yescomplemented
252#2356C2212yescomplemented
253#2354C2212yescomplemented
254#2353C2214yes—
255#2353C2214yes—
256#2352C2212yescomplemented
257#2352C2212yescomplemented
258D4×C4⋊C4C2212yescomplemented
259#2333C2214yescomplemented
260#2333C2214yescomplemented
261#2328C2214yescomplemented
262#2324C2212yescomplemented
263#2323C2212yescomplemented
264#2321C2214yes—
265#2319C2214yescomplemented
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2314C2212yescomplemented
270#2314C2212yescomplemented
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#123C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#120C2214yes—
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#386C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2212yescomplemented
292#2283C2212yescomplemented
293C2×#382C2211yescharacteristic
294C2×#381C2212yes—
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306#537—44no—
307#537—44no—
308#535—28no—
309#535—44no—
310#535—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2314yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2314yes—
319C2×#125C2314yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325#525—28no—
326#525—44no—
327#525—44no—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121—44no—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#120C2314yes—
381C2×#120C2312yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2312yes—
385C2×#120C2312yes—
386#520—44no—
387#520—44no—
388C4×#41—28no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×D4—44no—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×#117—44no—
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2312yes—
446C22×C42C2312yes—
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2312yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2312yes—
456#400C2314yes—
457#400C2312yes—
458#399C2312yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2312yes—
463#399C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
496#396C2312yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2312yes—
507#396C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
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#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
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#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2311yescharacteristic
735#383C2314yes—
736#383C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#381C2314yes—
750#381C2314yes—
751#381C2312yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2312yes—
757#381C2314yes—
758#381C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#379C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817#376C2314yes—
818#376C2314yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4—24no—
872C23×C4—24no—
873C23×C4—24no—
874C23×C4—44no—
875C23×C4—44no—
876C23×C4—82no—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2411yescharacteristic
901C4⋊Q8—42no—
902#127—28no—
903#127—42no—
904#127—44no—
905#127—44no—
906#127—48no—
907#127—84no—
908#125—84no—
909#124—28no—
910#124—42no—
911#124—42no—
912#124—44no—
913#124—44no—
914#123—28no—
915#123—44no—
916#123—44no—
917#123—44no—
918#123—44no—
919#123—84no—
920#123—84no—
921C22⋊Q8—24no—
922C22⋊Q8—24no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931#121—24no—
932#121—24no—
933#121—28no—
934#121—28no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—48no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—48no—
958#121—48no—
959#121—84no—
960#121—84no—
961#121—84no—
962#121—84no—
963#121—84no—
964#121—84no—
965#120—28no—
966#120—216no—
967#120—44no—
968#120—44no—
969#120—48no—
970#120—48no—
971C4×Q8—24no—
972C4×Q8—24no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—84no—
997C4×D4—84no—
998#117—24no—
999#117—24no—
1000#117—24no—
1001#117—24no—
1002#117—28no—
1003#117—44no—
1004#117—44no—
1005#117—42no—
1006#117—42no—
1007#117—44no—
1008#117—44no—
1009#117#4118yes—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—42no—
1014C2×C4⋊C4—42no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4—82no—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C22⋊C4—42no—
1071C2×C22⋊C4—42no—
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—82no—
1076C2×C22⋊C4—82no—
1077C2×C22⋊C4—82no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—28no—
1158C2×C42—44no—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238C24—24no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—24no—
1244C24—24no—
1245C24—41no—
1246C24—41no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24—41no—
1252C24C2511yescharacteristic
1253C24C2514yes—
1254C24C2512yes—
1255C24C2512yes—
1256C24C2512yes—
1257C24C2511yescharacteristic
1258C24C2511yescharacteristic
1259#41—416no—
1260#41—416no—
1261#41—416no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—416no—
1350C2×D4—816no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—28no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—41no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—416no—
1421C22×C4—816no—
1422C22×C4C2×#4114yes—
1423C22×C4H(5,𝔽2)14yes—
1424C22×C4H(5,𝔽2)14yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2514yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4C2×#4114yes—
1504C4⋊C4C2×#4114yes—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—24no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4C2×#4118yes—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—24no—
1593C42—24no—
1594C42—24no—
1595C42—24no—
1596C42—42no—
1597C42—42no—
1598C42—44no—
1599C42—44no—
1600C42—44no—
1601C42—44no—
1602C42—44no—
1603C42—44no—
1604C42C2×#4118yes—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—24no—
1619C23—22no—
1620C23—21no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—24no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—21no—
1637C23—24no—
1638C23—22no—
1639C23—24no—
1640C23—21no—
1641C23—22no—
1642C23—24no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—21no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—48no—
1654C23—48no—
1655C23—44no—
1656C23—48no—
1657C23—82no—
1658C23—84no—
1659C23—84no—
1660C23—84no—
1661C23—82no—
1662C23—84no—
1663C23—82no—
1664C23C22×#4112yes—
1665C23C2×H(5,𝔽2)12yes—
1666C23C2×H(5,𝔽2)12yes—
1667C23#58512yes—
1668C23C2611yescharacteristic
1669Q8—44no—
1670Q8—44no—
1671Q8—44no—
1672D4—48no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—44no—
1679D4—44no—
1680D4—44no—
1681D4—88no—
1682D4—84no—
1683D4—88no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—88no—
1692D4—164no—
1693D4—164no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
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—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—88no—
1785C2×C4—82no—
1786C2×C4—82no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—82no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4—88no—
1794C2×C4—164no—
1795C2×C4—164no—
1796C2×C4#540116yes—
1797C2×C4C22×#4114yes—
1798C2×C4C22×#4114yes—
1799C2×C4C22×#4112yes—
1800C2×C4C22×#4112yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4C2×H(5,𝔽2)12yes—
1805C2×C4#58512yes—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—41no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—44no—
1839C22—44no—
1840C22—42no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—44no—
1845C22—41no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—44no—
1854C22—88no—
1855C22—816no—
1856C22C2×#54014yes—
1857C22C23×#4111yescharacteristic
1858C22C22×H(5,𝔽2)11yescharacteristic
1859C22C22×H(5,𝔽2)11yescharacteristic
1860C22C2×#58511yescharacteristic
1861C22C2×#58511yescharacteristic
1862C22H(7,𝔽2)11yescharacteristic
1863C22H(7,𝔽2)11yescharacteristic
1864C4—24no—
1865C4—24no—
1866C4—22no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—44no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—44no—
1881C4—41no—
1882C4—44no—
1883C4—42no—
1884C4—42no—
1885C4—41no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4C2×#54014yes—
1891C4C2×#54014yes—
1892C2—24no—
1893C2—42no—
1894C2—82no—
1895C2—82no—
1896C2—82no—
1897C2—81no—
1898C2—84no—
1899C2C22×#54011yescharacteristic
1900C2#6283011yescharacteristic
1901C2#6288011yescharacteristic
1902C2#6292411yescharacteristic
1903C2#6292411yescharacteristic
1904C2#6299411yescharacteristic
1905C2#6300811yescharacteristic
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. #42784C2semidirect
2. #42730C2semidirect
3. #42664C2semidirect
4. #42617C2semidirect
5. #42533C2semidirect
6. #42468C2semidirect
7. #42468C2semidirect
8. #42460C2semidirect
9. #41445C2semidirect
10. #40723C2semidirect
11. #40146C2semidirect
12. #40126C2semidirect
13. #39929C2semidirect
14. #39906C2semidirect
15. #39785C2semidirect
16. #39148C2semidirect
17. #38998C2semidirect
18. #38942C2semidirect
19. #38510C2semidirect
20. #37903C2semidirect
21. #35618C2semidirect
22. #35565C2semidirect
23. #35564C2semidirect
24. #35543C2semidirect
25. #35531C2semidirect
26. #35518C2semidirect
27. #35256C2semidirect
28. #35252C2semidirect
29. #35165C2semidirect
30. #34810C2semidirect
31. #34743C2semidirect
32. C2×#2420C2semidirect
33. #34265C2semidirect
34. #34202C2semidirect
35. #34189C2semidirect
52. #2856C22semidirect
54. #2850C22semidirect
56. #2837C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2803C22semidirect
61. #2800C22semidirect
62. #2780C22semidirect
63. #2777C22semidirect
64. #2761C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2752C22semidirect
70. #2752C22semidirect
71. #2749C22semidirect
72. #2749C22semidirect
73. #2749C22semidirect
74. #2743C22semidirect
75. #2740C22semidirect
76. #2740C22semidirect
77. #2740C22semidirect
78. #2738C22semidirect
79. #2711C22semidirect
80. #2709C22semidirect
81. #2709C22semidirect
82. #2707C22semidirect
83. #2701C22semidirect
84. #2699C22semidirect
85. #2699C22semidirect
86. #2699C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2667C22semidirect
93. #2661C22semidirect
94. #2661C22semidirect
95. #2654C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
99. #2644C22semidirect
100. #2641C22semidirect
101. #2635C22semidirect
102. #2635C22semidirect
103. #2630C22semidirect
105. #2620C22semidirect
107. #2619C22semidirect
109. #2571C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
112. #2552C22semidirect
113. #2547C22semidirect
114. #2544C22semidirect
115. #2544C22semidirect
121. #2541C22semidirect
127. #2538C22semidirect
128. #2537C22semidirect
129. #2537C22semidirect
130. #2537C22semidirect
131. #2536C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2531C22semidirect
136. #2531C22semidirect
137. #2526C22semidirect
138. #2526C22semidirect
139. #2516C22semidirect
140. #2509C22semidirect
141. #2508C22semidirect
142. #2507C22semidirect
143. #2506C22semidirect
145. #2504C22semidirect
146. #2504C22semidirect
147. #2504C22semidirect
148. #2503C22semidirect
149. #2503C22semidirect
150. #2502C22semidirect
151. #2501C22semidirect
152. #2501C22semidirect
153. #2500C22semidirect
154. #2500C22semidirect
155. #2500C22semidirect
156. #2500C22semidirect
157. #2500C22semidirect
158. #2499C22semidirect
159. #2499C22semidirect
160. #2499C22semidirect
163. #2490C22semidirect
165. #2464C22semidirect
166. #2457C22semidirect
167. #2457C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
175. #2429C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
201. #2421C22semidirect
202. #2421C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
221. #2416C22semidirect
222. #2416C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
227. #2414C22semidirect
228. #2414C22semidirect
233. #2395C22semidirect
234. #2395C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
239. #2367C22semidirect
240. #2367C22semidirect
241. #2366C22semidirect
242. #2366C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
249. #2357C22semidirect
250. #2357C22semidirect
251. #2356C22semidirect
252. #2356C22semidirect
253. #2354C22semidirect
256. #2352C22semidirect
257. #2352C22semidirect
258. D4×C4⋊C4C22semidirect
259. #2333C22semidirect
260. #2333C22semidirect
261. #2328C22semidirect
262. #2324C22semidirect
263. #2323C22semidirect
265. #2319C22semidirect
269. #2314C22semidirect
270. #2314C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
277. C4×#123C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
291. #2283C22semidirect
292. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#427842
#427302
#426642
#426172
#425332
#424682
#424602
#414452
#407232
#401462
#401262
#399292
#399062
#397852
#391482
#389982
#389422
#385102
#379032
#356182
#355652
#355642
#355432
#355312
#355182
#352562
#352522
#351652
#348102
#347432
C2×#24202
#342652
#342022
#341892