Finite Group Databasebeta

← #7968157

Subgroups — #7968157

Order 512.

5792 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59419C211yesmaximal, characteristic, complemented
2#59401C212yesmaximal, complemented
3#59381C212yesmaximal, complemented
4#59259C211yesmaximal, characteristic, complemented
5#59217C211yesmaximal, characteristic, complemented
6#51968C214yesmaximal, complemented
7#48456C214yesmaximal, complemented
8#45720C212yesmaximal, complemented
9#45600C212yesmaximal, complemented
10#44895C212yesmaximal, complemented
11#44886C212yesmaximal, complemented
12#44077C214yesmaximal, complemented
13#42584C212yesmaximal, complemented
14#42462C212yesmaximal, complemented
15#41249C214yesmaximal, complemented
16#40126C212yesmaximal, complemented
17#39861C212yesmaximal, complemented
18#39786C212yesmaximal, complemented
19#39434C212yesmaximal, complemented
20#39341C211yesmaximal, characteristic, complemented
21#39194C211yesmaximal, characteristic, complemented
22#39138C212yesmaximal, complemented
23#36455C211yesmaximal, characteristic, complemented
24#36455C211yesmaximal, characteristic, complemented
25#36211C211yesmaximal, characteristic, complemented
26#36144C212yesmaximal, complemented
27#36114C211yesmaximal, characteristic, complemented
28#36101C211yesmaximal, characteristic, complemented
29#35171C211yesmaximal, characteristic, complemented
30#35165C211yesmaximal, characteristic, complemented
31#35081C212yesmaximal, complemented
32#34976C211yesmaximal, characteristic, complemented
33#34715C211yesmaximal, characteristic, complemented
34#34414C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yes—
38C2×#550C2211yescharacteristic, complemented
39C2×#550C2212yescomplemented
40C2×#546C2211yescharacteristic
41C2×#540C2212yes—
42C2×#537C2212yes—
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#529C2212yescomplemented
46C2×#525C2212yes—
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50#2859C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2856C2212yescomplemented
54#2856C2212yescomplemented
55#2856C2211yescharacteristic, complemented
56#2854C2212yescomplemented
57#2851C2212yescomplemented
58#2847C2212yes—
59#2847C2212yes—
60#2847C2212yes—
61#2829C2214yescomplemented
62#2825C2214yes—
63#2808C2214yescomplemented
64#2803C2214yescomplemented
65#2801C2214yescomplemented
66#2800C2214yescomplemented
67#2797C2214yescomplemented
68#2786C2214yescomplemented
69#2786C2214yescomplemented
70#2781C2214yescomplemented
71#2778C2214yescomplemented
72#2768C2214yes—
73#2761C2214yescomplemented
74#2745C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2710C2214yes—
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2708C2214yescomplemented
81#2701C2214yescomplemented
82#2699C2214yescomplemented
83#2699C2214yescomplemented
84#2699C2214yescomplemented
85#2688C2214yescomplemented
86#2678C2214yes—
87#2676C2214yes—
88#2676C2214yescomplemented
89#2675C2214yes—
90#2673C2214yes—
91#2673C2214yes—
92#2673C2214yescomplemented
93#2669C2214yes—
94#2669C2214yes—
95#2668C2214yes—
96#2661C2214yescomplemented
97#2661C2214yescomplemented
98#2648C2214yes—
99#2648C2214yescomplemented
100#2635C2214yes—
101#2624C2212yes—
102#2619C2214yescomplemented
103#2617C2214yes—
104#2615C2212yes—
105#2609C2214yescomplemented
106#2600C2214yescomplemented
107#2595C2214yescomplemented
108#2585C2214yescomplemented
109#2582C2211yescharacteristic, complemented
110#2576C2214yescomplemented
111#2565C2212yescomplemented
112#2562C2212yescomplemented
113#2557C2214yes—
114#2554C2214yescomplemented
115#2552C2211yescharacteristic, complemented
116#2547C2212yes—
117#2544C2214yes—
118#2543C2214yescomplemented
119#2543C2214yescomplemented
120#2541C2211yescharacteristic
121#2541C2214yes—
122#2541C2212yes—
123#2541C2212yes—
124#2541C2212yescomplemented
125#2541C2211yescharacteristic, complemented
126#2541C2212yescomplemented
127#2539C2214yes—
128#2538C2211yescharacteristic
129#2538C2211yescharacteristic, complemented
130#2537C2211yescharacteristic
131#2537C2211yescharacteristic
132#2537C2211yescharacteristic
133#2537C2211yescharacteristic
134#2537C2212yescomplemented
135#2537C2212yescomplemented
136#2537C2212yescomplemented
137#2535C2212yes—
138#2535C2212yes—
139#2535C2212yes—
140#2535C2214yescomplemented
141#2513C2212yescomplemented
142#2513C2212yescomplemented
143#2508C2212yescomplemented
144#2507C2212yescomplemented
145#2500C2212yescomplemented
146#2497C2212yes—
147#2497C2212yescomplemented
148#2496C2212yescomplemented
149#2494C2212yescomplemented
150#2494C2212yescomplemented
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2476C2212yes—
160#2476C2214yescomplemented
161#2474C2212yescomplemented
162#2471C2214yescomplemented
163#2470C2214yescomplemented
164#2467C2214yes—
165#2466C2214yescomplemented
166#2464C2214yescomplemented
167#2464C2214yescomplemented
168#2461C2214yes—
169#2459C2212yescomplemented
170#2456C2214yes—
171#2456C2212yes—
172#2452C2212yescomplemented
173#2451C2211yescharacteristic, complemented
174#2445C2212yes—
175#2445C2211yescharacteristic, complemented
176#2444C2214yescomplemented
177#2444C2214yescomplemented
178#2441C2212yes—
179#2441C2212yescomplemented
180#2439C2211yescharacteristic, complemented
181#2433C2212yes—
182#2431C2212yes—
183#2431C2212yescomplemented
184#2431C2211yescharacteristic, complemented
185#2428C2212yes—
186#2428C2212yes—
187#2428C2212yes—
188#2428C2212yes—
189#2428C2214yes—
190#2428C2212yes—
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2428C2214yescomplemented
194#2428C2214yescomplemented
195#2428C2212yescomplemented
196#2426C2212yes—
197#2426C2211yescharacteristic
198#2425C2214yescomplemented
199#2424C2214yes—
200#2424C2214yes—
201#2424C2214yes—
202#2424C2214yes—
203#2423C2212yes—
204#2422C2212yes—
205#2422C2212yescomplemented
206#2421C2212yescomplemented
207#2420C2211yescharacteristic
208#2420C2212yes—
209#2420C2212yescomplemented
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2212yescomplemented
213#2419C2214yescomplemented
214#2416C2212yes—
215#2416C2212yescomplemented
216#2414C2212yes—
217#2414C2211yescharacteristic
218#2414C2212yes—
219#2414C2212yes—
220#2414C2214yescomplemented
221#2414C2214yescomplemented
222#2414C2212yescomplemented
223#2414C2212yescomplemented
224#2407C2212yes—
225#2407C2212yes—
226#2407C2211yescharacteristic
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2392C2214yescomplemented
230#2392C2212yescomplemented
231#2388C2212yes—
232#2378C2214yescomplemented
233#2377C2214yes—
234#2368C2214yescomplemented
235#2367C2211yescharacteristic
236#2366C2212yes—
237#2364C2212yes—
238#2364C2214yescomplemented
239#2363C2212yes—
240#2363C2214yes—
241#2363C2211yescharacteristic
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2362C2212yes—
245#2361C2212yes—
246#2361C2212yes—
247#2360C2211yescharacteristic
248#2359C2212yes—
249#2358C2212yes—
250#2357C2212yescomplemented
251#2355C2212yescomplemented
252#2354C2211yescharacteristic
253#2352C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic, complemented
255Q8×C4⋊C4C2211yescharacteristic, complemented
256#2349C2211yescharacteristic
257D4×C4⋊C4C2211yescharacteristic, complemented
258#2345C2212yescomplemented
259#2344C2212yescomplemented
260#2342C2212yes—
261#2341C2212yescomplemented
262#2341C2212yescomplemented
263#2339C2211yescharacteristic
264#2339C2212yescomplemented
265#2339C2212yescomplemented
266D4×C22⋊C4C2211yescharacteristic
267#2333C2214yes—
268#2333C2214yescomplemented
269#2333C2214yescomplemented
270#2325C2214yes—
271#2324C2214yescomplemented
272#2324C2212yescomplemented
273#2323C2212yescomplemented
274#2311C2212yes—
275C4×#127C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yes—
283C4×#123C2212yescomplemented
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291C4×#120C2212yes—
292#2297C2212yes—
293#2293C2211yescharacteristic, complemented
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#550—44no—
307#550—44no—
308#550—48no—
309#550—48no—
310#546—28no—
311#540—48no—
312#537—216no—
313#535—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#127C2314yes—
323C2×#127C2314yes—
324C2×#127C2311yescharacteristic
325#529—48no—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2314yes—
333#525—48no—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2312yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C4×#41—44no—
394C4×#41—44no—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4—44no—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2314yes—
439C2×#117C2312yes—
440C2×#117C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2312yes—
453C22×C42C2312yes—
454C22×C42C2312yes—
455#401C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#399C2314yes—
460#399C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#395C2312yes—
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#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#393C2314yes—
524#393C2312yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2314yes—
552#391C2311yescharacteristic
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2311yescharacteristic
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#388C2314yes—
620#388C2314yes—
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#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#384C2311yescharacteristic
732#384C2312yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2312yes—
746#381C2314yes—
747#381C2312yes—
748#381C2314yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#379C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C2×#95C2314yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C2×#41—42no—
835C2×#41—42no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×D4—24no—
844C22×D4—24no—
845C22×D4—42no—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C23×C4—44no—
878C23×C4—44no—
879C23×C4—44no—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C4⋊Q8—42no—
904#127—28no—
905#127—24no—
906#127—42no—
907#127—44no—
908#127—44no—
909#127—44no—
910#127—48no—
911#127—48no—
912#127—48no—
913#126—48no—
914#125—44no—
915#125—44no—
916#124—24no—
917#124—24no—
918#124—44no—
919#124—48no—
920#123—28no—
921#123—48no—
922#123—48no—
923#123—44no—
924#123—48no—
925#123—48no—
926C22⋊Q8—28no—
927C22⋊Q8—24no—
928C22⋊Q8—28no—
929C22⋊Q8—216no—
930C22⋊Q8#4118yescomplemented
931#121—28no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—216no—
936#121—24no—
937#121—28no—
938#121—216no—
939#121—216no—
940#121—48no—
941#121—44no—
942#121—48no—
943#121—44no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—44no—
949#121—44no—
950#121—42no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—42no—
956#121—42no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—84no—
970#121—84no—
971#121—84no—
972#121—82no—
973#121—84no—
974#120—28no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—84no—
979C4×Q8—28no—
980C4×Q8—24no—
981C4×Q8—24no—
982C4×Q8—42no—
983C4×Q8—42no—
984C4×Q8—44no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—44no—
993C4×D4—48no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—44no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—42no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—48no—
1010C4×D4—44no—
1011C4×D4—42no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—48no—
1015C4×D4—48no—
1016C4×D4—48no—
1017C4×D4—84no—
1018C4×D4—82no—
1019#117—44no—
1020#117—44no—
1021#117—44no—
1022#117—48no—
1023#117—42no—
1024#117—42no—
1025#117—44no—
1026#117—44no—
1027#117—82no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—42no—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C22⋊C4—28no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—44no—
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⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42—44no—
1161C2×C42—44no—
1162C2×C42—44no—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243C24—24no—
1244C24—24no—
1245C24—42no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24C2512yes—
1251C24C2512yes—
1252C24C2514yes—
1253C24C2511yescharacteristic
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2512yes—
1257#41—416no—
1258#41—416no—
1259#41—816no—
1260#41—816no—
1261#41—816no—
1262C2×Q8—24no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—22no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8C2×#4114yes—
1270C2×Q8H(5,𝔽2)14yes—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—24no—
1289C2×D4—28no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—28no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—416no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4H(5,𝔽2)14yes—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—22no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—41no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—41no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—816no—
1434C22×C4C2×#4114yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2514yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—22no—
1466C4⋊C4—28no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—28no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—41no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4C2×#4114yes—
1511C4⋊C4C2×#4118yes—
1512C22⋊C4—22no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—22no—
1520C22⋊C4—24no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4C2×#4118yes—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—24no—
1597C42—24no—
1598C42—24no—
1599C42—22no—
1600C42—28no—
1601C42—24no—
1602C42—22no—
1603C42—42no—
1604C42—42no—
1605C42—42no—
1606C42—42no—
1607C42—42no—
1608C42—42no—
1609C42—44no—
1610C42—44no—
1611C42—44no—
1612C42—41no—
1613C42—44no—
1614C42—41no—
1615C42H(5,𝔽2)14yes—
1616C23—22no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—24no—
1641C23—24no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—24no—
1651C23—22no—
1652C23—24no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—21no—
1657C23—22no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—24no—
1662C23—22no—
1663C23—48no—
1664C23—48no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23—84no—
1669C23—84no—
1670C23C22×#4112yes—
1671C23C2×H(5,𝔽2)14yes—
1672C23C2611yescharacteristic
1673Q8—28no—
1674Q8—28no—
1675Q8—84no—
1676D4—28no—
1677D4—48no—
1678D4—48no—
1679D4—48no—
1680D4—44no—
1681D4—44no—
1682D4—48no—
1683D4—44no—
1684D4—44no—
1685D4—48no—
1686D4—88no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—88no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—164no—
1702D4—164no—
1703D4—164no—
1704D4—164no—
1705D4—164no—
1706D4—164no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—28no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—44no—
1788C2×C4—48no—
1789C2×C4—44no—
1790C2×C4—84no—
1791C2×C4—88no—
1792C2×C4—84no—
1793C2×C4—84no—
1794C2×C4—82no—
1795C2×C4—88no—
1796C2×C4—88no—
1797C2×C4—84no—
1798C2×C4—84no—
1799C2×C4—84no—
1800C2×C4—84no—
1801C2×C4—164no—
1802C2×C4C22×#4112yes—
1803C2×C4C22×#4114yes—
1804C2×C4C22×#4114yes—
1805C2×C4C22×#4112yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)14yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×H(5,𝔽2)12yes—
1811C2×C4C2×H(5,𝔽2)12yes—
1812C2×C4#58512yes—
1813C2×C4#58512yes—
1814C22—22no—
1815C22—24no—
1816C22—22no—
1817C22—24no—
1818C22—22no—
1819C22—24no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—41no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—41no—
1831C22—44no—
1832C22—42no—
1833C22—42no—
1834C22—44no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—41no—
1839C22—42no—
1840C22—42no—
1841C22—44no—
1842C22—42no—
1843C22—41no—
1844C22—44no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—44no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—42no—
1855C22—44no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22—44no—
1862C22—42no—
1863C22—816no—
1864C22C23×#4111yescharacteristic
1865C22C22×H(5,𝔽2)11yescharacteristic
1866C22C22×H(5,𝔽2)11yescharacteristic
1867C22C22×H(5,𝔽2)11yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22C2×#58511yescharacteristic
1870C22H(7,𝔽2)11yescharacteristic
1871C4—24no—
1872C4—22no—
1873C4—24no—
1874C4—22no—
1875C4—22no—
1876C4—24no—
1877C4—41no—
1878C4—44no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—44no—
1883C4—41no—
1884C4—42no—
1885C4—42no—
1886C4—41no—
1887C4—41no—
1888C4—44no—
1889C4—42no—
1890C4—41no—
1891C4—42no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4#351914yes—
1898C4#354214yes—
1899C2—44no—
1900C2—42no—
1901C2—82no—
1902C2—84no—
1903C2—81no—
1904C2—82no—
1905C2—82no—
1906C2C2×#354211yescharacteristic
1907C2C2×#351911yescharacteristic
1908C2#6279311yescharacteristic
1909C2#6292011yescharacteristic
1910C2#6295711yescharacteristic
1911C2#6298611yescharacteristic
1912C2#6301411yescharacteristic
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. #59419C2semidirect
2. #59401C2semidirect
3. #59381C2semidirect
4. #59259C2semidirect
5. #59217C2semidirect
6. #51968C2semidirect
7. #48456C2semidirect
8. #45720C2semidirect
9. #45600C2semidirect
10. #44895C2semidirect
11. #44886C2semidirect
12. #44077C2semidirect
13. #42584C2semidirect
14. #42462C2semidirect
15. #41249C2semidirect
16. #40126C2semidirect
17. #39861C2semidirect
18. #39786C2semidirect
19. #39434C2semidirect
20. #39341C2semidirect
21. #39194C2semidirect
22. #39138C2semidirect
23. #36455C2semidirect
24. #36455C2semidirect
25. #36211C2semidirect
26. #36144C2semidirect
27. #36114C2semidirect
28. #36101C2semidirect
29. #35171C2semidirect
30. #35165C2semidirect
31. #35081C2semidirect
32. #34976C2semidirect
33. #34715C2semidirect
34. #34414C2semidirect
35. C4×#546C2semidirect
38. C2×#550C22semidirect
39. C2×#550C22semidirect
45. C2×#529C22semidirect
48. C2×C4×#41C22semidirect
50. #2859C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
55. #2856C22semidirect
56. #2854C22semidirect
57. #2851C22semidirect
61. #2829C22semidirect
63. #2808C22semidirect
64. #2803C22semidirect
65. #2801C22semidirect
66. #2800C22semidirect
67. #2797C22semidirect
68. #2786C22semidirect
69. #2786C22semidirect
70. #2781C22semidirect
71. #2778C22semidirect
73. #2761C22semidirect
74. #2745C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2708C22semidirect
81. #2701C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2688C22semidirect
88. #2676C22semidirect
92. #2673C22semidirect
96. #2661C22semidirect
97. #2661C22semidirect
99. #2648C22semidirect
102. #2619C22semidirect
105. #2609C22semidirect
106. #2600C22semidirect
107. #2595C22semidirect
108. #2585C22semidirect
109. #2582C22semidirect
110. #2576C22semidirect
111. #2565C22semidirect
112. #2562C22semidirect
114. #2554C22semidirect
115. #2552C22semidirect
118. #2543C22semidirect
119. #2543C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
126. #2541C22semidirect
129. #2538C22semidirect
134. #2537C22semidirect
135. #2537C22semidirect
136. #2537C22semidirect
140. #2535C22semidirect
141. #2513C22semidirect
142. #2513C22semidirect
143. #2508C22semidirect
144. #2507C22semidirect
145. #2500C22semidirect
147. #2497C22semidirect
148. #2496C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
160. #2476C22semidirect
161. #2474C22semidirect
162. #2471C22semidirect
163. #2470C22semidirect
165. #2466C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
169. #2459C22semidirect
172. #2452C22semidirect
173. #2451C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2444C22semidirect
179. #2441C22semidirect
180. #2439C22semidirect
183. #2431C22semidirect
184. #2431C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
198. #2425C22semidirect
205. #2422C22semidirect
206. #2421C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2419C22semidirect
215. #2416C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
232. #2378C22semidirect
234. #2368C22semidirect
238. #2364C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
250. #2357C22semidirect
251. #2355C22semidirect
254. Q8×C4⋊C4C22semidirect
255. Q8×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. #2345C22semidirect
259. #2344C22semidirect
261. #2341C22semidirect
262. #2341C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
268. #2333C22semidirect
269. #2333C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
275. C4×#127C22semidirect
277. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
293. #2293C22semidirect
295. #2285C22semidirect
930. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#594192
#594012
#593812
#592592
#592172
#519682
#484562
#457202
#456002
#448952
#448862
#440772
#425842
#424622
#412492
#401262
#398612
#397862
#394342
#393412
#391942
#391382
#364552
#362112
#361442
#361142
#361012
#351712
#351652
#350812
#349762
#347152
#344142
C4×#5462