Finite Group Databasebeta

← #8424646

Subgroups — #8424646

Order 512.

5862 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59412C211yesmaximal, characteristic, complemented
2#59408C212yesmaximal, complemented
3#59304C211yesmaximal, characteristic, complemented
4#59214C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#53659C214yesmaximal, complemented
7#53559C214yesmaximal, complemented
8#53076C212yesmaximal, complemented
9#52981C212yesmaximal, complemented
10#52973C212yesmaximal, complemented
11#52956C212yesmaximal, complemented
12#52472C214yesmaximal, complemented
13#42988C212yesmaximal, complemented
14#42855C212yesmaximal, complemented
15#42581C212yesmaximal, complemented
16#42490C212yesmaximal, complemented
17#40733C214yesmaximal, complemented
18#39742C212yesmaximal, complemented
19#39634C211yesmaximal, characteristic, complemented
20#39341C211yesmaximal, characteristic, complemented
21#39194C211yesmaximal, characteristic, complemented
22#39144C212yesmaximal, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38080C212yesmaximal, complemented
25#37649C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37505C212yesmaximal, complemented
29#37439C212yesmaximal, complemented
30#36576C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32D4×#121C211yesmaximal, characteristic, complemented
33C2×#2538C211yesmaximal, characteristic, complemented
34#34708C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#546C2212yescomplemented
41C2×D42C2212yes—
42C2×D42C2211yescharacteristic
43C2×#537C2212yescomplemented
44C2×#532C2211yescharacteristic, complemented
45C2×#529C2211yescharacteristic, complemented
46C2×#525C2212yescomplemented
47C22×C22⋊Q8C2212yescomplemented
48C22×#121C2212yes—
49C22×C4×Q8C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51#2859C2211yescharacteristic, complemented
52#2856C2211yescharacteristic
53#2856C2212yescomplemented
54#2856C2211yescharacteristic, complemented
55#2847C2212yes—
56#2842C2214yescomplemented
57#2838C2214yescomplemented
58#2837C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2829C2214yescomplemented
63#2826C2214yescomplemented
64#2825C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2801C2214yescomplemented
71#2800C2214yescomplemented
72#2784C2214yescomplemented
73#2780C2214yescomplemented
74#2780C2214yescomplemented
75#2780C2214yescomplemented
76#2780C2214yescomplemented
77#2780C2214yescomplemented
78#2779C2214yescomplemented
79#2779C2214yescomplemented
80#2778C2214yescomplemented
81#2727C2214yescomplemented
82#2718C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2708C2214yescomplemented
86#2705C2214yescomplemented
87#2705C2214yescomplemented
88#2703C2214yescomplemented
89#2697C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2683C2214yescomplemented
93#2682C2214yescomplemented
94#2682C2214yescomplemented
95#2681C2214yescomplemented
96#2681C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2675C2214yescomplemented
106#2672C2214yescomplemented
107#2663C2214yescomplemented
108#2662C2214yescomplemented
109#2656C2214yescomplemented
110#2652C2214yescomplemented
111#2648C2214yescomplemented
112#2647C2212yescomplemented
113#2644C2212yescomplemented
114#2643C2214yescomplemented
115#2641C2212yescomplemented
116#2639C2214yescomplemented
117#2630C2214yescomplemented
118#2628C2212yescomplemented
119#2626C2214yescomplemented
120#2626C2214yescomplemented
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2624C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2617C2214yescomplemented
127#2616C2212yescomplemented
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2587C2214yescomplemented
131#2566C2212yes—
132#2566C2212yescomplemented
133#2562C2212yescomplemented
134#2559C2214yescomplemented
135#2552C2211yescharacteristic, complemented
136#2548C2212yescomplemented
137#2548C2211yescharacteristic, complemented
138#2541C2211yescharacteristic
139#2541C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2539C2214yescomplemented
143#2538C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2212yescomplemented
147#2538C2211yescharacteristic, complemented
148#2538C2214yescomplemented
149#2538C2212yescomplemented
150#2538C2212yescomplemented
151#2538C2212yescomplemented
152#2538C2212yescomplemented
153#2538C2211yescharacteristic, complemented
154#2538C2211yescharacteristic, complemented
155#2537C2211yescharacteristic
156#2537C2211yescharacteristic, complemented
157#2535C2212yescomplemented
158#2512C2212yescomplemented
159#2512C2212yescomplemented
160#2509C2212yescomplemented
161#2504C2212yescomplemented
162#2501C2212yescomplemented
163#2500C2212yescomplemented
164#2500C2212yescomplemented
165#2497C2212yescomplemented
166#2496C2212yescomplemented
167#2494C2212yescomplemented
168#2494C2212yescomplemented
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2487C2212yescomplemented
172#2487C2212yescomplemented
173#2487C2212yescomplemented
174#2487C2212yescomplemented
175#2481C2212yescomplemented
176#2472C2212yescomplemented
177#2472C2214yescomplemented
178#2469C2212yescomplemented
179#2464C2212yescomplemented
180#2461C2212yescomplemented
181#2458C2212yescomplemented
182#2454C2212yes—
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2453C2211yescharacteristic, complemented
186#2452C2211yescharacteristic
187#2452C2212yescomplemented
188#2449C2214yescomplemented
189#2448C2211yescharacteristic, complemented
190#2445C2212yescomplemented
191#2445C2211yescharacteristic, complemented
192#2443C2214yescomplemented
193#2443C2214yescomplemented
194#2443C2212yescomplemented
195#2442C2211yescharacteristic, complemented
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2441C2212yescomplemented
199#2440C2211yescharacteristic, complemented
200#2437C2214yescomplemented
201#2436C2211yescharacteristic
202#2435C2212yescomplemented
203#2433C2212yes—
204#2433C2211yescharacteristic
205#2428C2212yes—
206#2428C2211yescharacteristic
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2428C2212yescomplemented
210#2427C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2214yescomplemented
213#2426C2211yescharacteristic, complemented
214#2426C2212yescomplemented
215#2424C2214yes—
216#2424C2214yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2424C2212yescomplemented
220#2424C2214yescomplemented
221#2422C2212yescomplemented
222#2422C2211yescharacteristic, complemented
223#2422C2212yescomplemented
224#2422C2212yescomplemented
225#2422C2212yescomplemented
226#2422C2212yescomplemented
227#2421C2211yescharacteristic, complemented
228#2418C2214yescomplemented
229#2417C2212yescomplemented
230#2417C2212yescomplemented
231#2416C2212yes—
232#2416C2211yescharacteristic
233#2416C2212yes—
234#2416C2212yes—
235#2416C2214yescomplemented
236#2416C2212yescomplemented
237#2416C2214yescomplemented
238#2416C2214yescomplemented
239#2416C2211yescharacteristic, complemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2410C2214yes—
247#2410C2214yescomplemented
248#2410C2214yescomplemented
249#2410C2214yescomplemented
250#2409C2211yescharacteristic, complemented
251#2408C2211yescharacteristic
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2398C2212yescomplemented
259#2396C2212yescomplemented
260#2392C2212yescomplemented
261C2×#396C2214yescomplemented
262#2388C2212yescomplemented
263#2363C2212yes—
264#2361C2212yescomplemented
265#2361C2212yescomplemented
266#2360C2212yescomplemented
267#2354C2211yescharacteristic, complemented
268Q8×C4⋊C4C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272#2341C2212yescomplemented
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2214yescomplemented
276#2328C2212yes—
277#2325C2214yescomplemented
278#2323C2212yescomplemented
279#2309C2212yes—
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic, complemented
282C4×#124C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2293C2211yescharacteristic, complemented
292C2×#390C2212yes—
293C2×#389C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296C2×#384C2211yescharacteristic, complemented
297C2×#380C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2314yes—
305C23×D4C2312yes—
306C24×C4C2312yes—
307#553—48no—
308#553—48no—
309#550—44no—
310#548—48no—
311#546—48no—
312D42—44no—
313D42—48no—
314#537—48no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322#529—44no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334#525—48no—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×C22⋊Q8—48no—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121—48no—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2311yescharacteristic
385C2×#121C2314yes—
386C2×#121C2311yescharacteristic
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#120C2314yes—
397C2×#120C2312yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×C4×Q8—44no—
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2312yes—
413C2×C4×D4—44no—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2314yes—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2314yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2312yes—
462#401C2314yes—
463#400C2314yes—
464#400C2312yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2312yes—
471#400C2312yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2312yes—
480#399C2314yes—
481#399C2314yes—
482#398C2312yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2312yes—
487#398C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2312yes—
519#396C2312yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2312yes—
527#396C2314yes—
528#396C2314yes—
529#395C2312yes—
530#395C2314yes—
531#395C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2312yes—
574#393C2312yes—
575#393C2312yes—
576#393C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2312yes—
591#392C2312yes—
592#392C2312yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#391C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2312yes—
629#390C2314yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2312yes—
756#384C2312yes—
757#384C2311yescharacteristic
758#384C2311yescharacteristic
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#379C2314yes—
791#379C2314yes—
792#379C2314yes—
793#379C2314yes—
794#379C2312yes—
795#379C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822#376C2312yes—
823C2×#95C2314yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—42no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×D4—24no—
841C22×D4—28no—
842C22×D4—24no—
843C22×D4—42no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—48no—
850C22×D4—48no—
851C22×D4—48no—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C23×C4—28no—
882C23×C4—44no—
883C23×C4—44no—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2414yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C4⋊Q8—42no—
905#127—24no—
906#127—24no—
907#127—42no—
908#127—44no—
909#127—44no—
910#126—44no—
911#126—48no—
912#126—48no—
913#125—42no—
914#125—44no—
915#125—44no—
916#124—24no—
917#124—44no—
918#124—42no—
919#124—44no—
920#124—48no—
921#123—48no—
922#123—48no—
923#123—44no—
924#123—44no—
925#123—44no—
926#123—48no—
927#123—84no—
928#123—84no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—24no—
932C22⋊Q8—44no—
933C22⋊Q8—48no—
934C22⋊Q8—48no—
935C22⋊Q8—48no—
936C22⋊Q8—44no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—42no—
941C22⋊Q8—44no—
942#121—24no—
943#121—24no—
944#121—28no—
945#121—28no—
946#121—24no—
947#121—48no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—44no—
957#121—44no—
958#121—42no—
959#121—42no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—48no—
974#121—44no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—84no—
979#121—82no—
980#120—48no—
981#120—48no—
982#120—48no—
983#120—44no—
984#120—44no—
985#120—44no—
986#120—48no—
987#120—84no—
988#120—84no—
989C4×Q8—24no—
990C4×Q8—24no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×Q8—42no—
994C4×Q8—42no—
995C4×Q8—44no—
996C4×D4—24no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—44no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—42no—
1019C4×D4—48no—
1020C4×D4—48no—
1021C4×D4—48no—
1022C4×D4—82no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026#117—44no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—42no—
1029C2×C4⋊C4—42no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—48no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—82no—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—48no—
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4—48no—
1100C2×C22⋊C4—84no—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C42—24no—
1182C2×C42—24no—
1183C2×C42—44no—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2414yes—
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2414yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252C24—24no—
1253C24—24no—
1254C24—24no—
1255C24—24no—
1256C24—28no—
1257C24—42no—
1258C24—42no—
1259C24—42no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24—44no—
1264C24—44no—
1265C24—44no—
1266C24C2512yes—
1267C24C2512yes—
1268C24C2514yes—
1269C24C2511yescharacteristic
1270C24C2512yes—
1271C24C2512yes—
1272C24C2511yescharacteristic
1273#41—816no—
1274#41—816no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—22no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—42no—
1283C2×Q8—42no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×Q8—416no—
1287C2×Q8H(5,𝔽2)14yes—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—28no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—28no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—416no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—816no—
1376C2×D4—816no—
1377C2×D4—832no—
1378C2×D42−1+414yes—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—28no—
1411C22×C4—24no—
1412C22×C4—42no—
1413C22×C4—41no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—42no—
1417C22×C4—44no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—816no—
1438C22×C4H(5,𝔽2)14yes—
1439C22×C4H(5,𝔽2)14yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2512yes—
1450C22×C4C2514yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2514yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—41no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—44no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—22no—
1532C22⋊C4—24no—
1533C22⋊C4—22no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—22no—
1545C22⋊C4—24no—
1546C22⋊C4—22no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
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—42no—
1568C22⋊C4—42no—
1569C22⋊C4—41no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C42—22no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—24no—
1615C42—24no—
1616C42—22no—
1617C42—24no—
1618C42—22no—
1619C42—24no—
1620C42—22no—
1621C42—22no—
1622C42—42no—
1623C42—42no—
1624C42—44no—
1625C42—44no—
1626C42—41no—
1627C42—44no—
1628C42—41no—
1629C42H(5,𝔽2)14yes—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—24no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23—24no—
1655C23—21no—
1656C23—22no—
1657C23—24no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—21no—
1666C23—22no—
1667C23—24no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—24no—
1673C23—22no—
1674C23—21no—
1675C23—48no—
1676C23—48no—
1677C23—48no—
1678C23—48no—
1679C23—84no—
1680C23—84no—
1681C23—84no—
1682C23—88no—
1683C23—88no—
1684C23—88no—
1685C23—88no—
1686C23—88no—
1687C23—164no—
1688C23—164no—
1689C23C2×H(5,𝔽2)12yes—
1690C23C2×H(5,𝔽2)12yes—
1691C23C2×2−1+414yes—
1692C23#58512yes—
1693C23C2611yescharacteristic
1694Q8—28no—
1695Q8—48no—
1696Q8—44no—
1697Q8—84no—
1698D4—28no—
1699D4—48no—
1700D4—44no—
1701D4—48no—
1702D4—416no—
1703D4—48no—
1704D4—44no—
1705D4—44no—
1706D4—48no—
1707D4—44no—
1708D4—48no—
1709D4—84no—
1710D4—88no—
1711D4—84no—
1712D4—84no—
1713D4—84no—
1714D4—88no—
1715D4—84no—
1716D4—84no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—84no—
1721D4—84no—
1722D4—84no—
1723D4—164no—
1724D4—164no—
1725D4—164no—
1726D4—164no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—28no—
1736C2×C4—28no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—24no—
1800C2×C4—21no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—44no—
1804C2×C4—48no—
1805C2×C4—44no—
1806C2×C4—48no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—44no—
1811C2×C4—82no—
1812C2×C4—84no—
1813C2×C4—84no—
1814C2×C4—88no—
1815C2×C4—88no—
1816C2×C4—84no—
1817C2×C4—84no—
1818C2×C4—88no—
1819C2×C4—164no—
1820C2×C4—164no—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)14yes—
1825C2×C4C2×H(5,𝔽2)12yes—
1826C2×C4C2×H(5,𝔽2)12yes—
1827C2×C4C2×H(5,𝔽2)12yes—
1828C2×C4C2×H(5,𝔽2)12yes—
1829C2×C4C2×H(5,𝔽2)12yes—
1830C2×C4C2×2−1+412yes—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—24no—
1838C22—24no—
1839C22—24no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—44no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—41no—
1852C22—44no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—41no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—41no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—42no—
1865C22—44no—
1866C22—41no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—44no—
1873C22—42no—
1874C22—41no—
1875C22—42no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—816no—
1880C22—1616no—
1881C22#354614yes—
1882C22C22×H(5,𝔽2)11yescharacteristic
1883C22C22×H(5,𝔽2)11yescharacteristic
1884C22C22×H(5,𝔽2)11yescharacteristic
1885C22C22×H(5,𝔽2)11yescharacteristic
1886C22C22×2−1+411yescharacteristic
1887C22C2×#58511yescharacteristic
1888C22H(7,𝔽2)11yescharacteristic
1889C4—22no—
1890C4—22no—
1891C4—24no—
1892C4—22no—
1893C4—41no—
1894C4—42no—
1895C4—42no—
1896C4—42no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4—44no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—44no—
1906C4—44no—
1907C4—41no—
1908C4—42no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—42no—
1915C4#353614yes—
1916C4#353714yes—
1917C2—24no—
1918C2—44no—
1919C2—81no—
1920C2—82no—
1921C2—82no—
1922C2—84no—
1923C2—82no—
1924C2C2×#353611yescharacteristic
1925C2C2×#353711yescharacteristic
1926C2C2×#354611yescharacteristic
1927C2#6291611yescharacteristic
1928C2#6294411yescharacteristic
1929C2#6295711yescharacteristic
1930C2#6301511yescharacteristic
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. #59412C2semidirect
2. #59408C2semidirect
3. #59304C2semidirect
4. #59214C2semidirect
5. #58996C2semidirect
6. #53659C2semidirect
7. #53559C2semidirect
8. #53076C2semidirect
9. #52981C2semidirect
10. #52973C2semidirect
11. #52956C2semidirect
12. #52472C2semidirect
13. #42988C2semidirect
14. #42855C2semidirect
15. #42581C2semidirect
16. #42490C2semidirect
17. #40733C2semidirect
18. #39742C2semidirect
19. #39634C2semidirect
20. #39341C2semidirect
21. #39194C2semidirect
22. #39144C2semidirect
23. #38910C2semidirect
24. #38080C2semidirect
25. #37649C2semidirect
26. #37625C2semidirect
27. #37621C2semidirect
28. #37505C2semidirect
29. #37439C2semidirect
30. #36576C2semidirect
31. #36182C2semidirect
32. D4×#121C2semidirect
33. C2×#2538C2semidirect
34. #34708C2semidirect
35. #34681C2semidirect
36. C2×#553C22semidirect
37. C2×#553C22semidirect
38. C2×#550C22semidirect
39. C2×#548C22semidirect
40. C2×#546C22semidirect
43. C2×#537C22semidirect
44. C2×#532C22semidirect
45. C2×#529C22semidirect
46. C2×#525C22semidirect
47. C22×C22⋊Q8C22semidirect
49. C22×C4×Q8C22semidirect
51. #2859C22semidirect
53. #2856C22semidirect
54. #2856C22semidirect
56. #2842C22semidirect
57. #2838C22semidirect
58. #2837C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2829C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2801C22semidirect
71. #2800C22semidirect
72. #2784C22semidirect
73. #2780C22semidirect
74. #2780C22semidirect
75. #2780C22semidirect
76. #2780C22semidirect
77. #2780C22semidirect
78. #2779C22semidirect
79. #2779C22semidirect
80. #2778C22semidirect
81. #2727C22semidirect
82. #2718C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2708C22semidirect
86. #2705C22semidirect
87. #2705C22semidirect
88. #2703C22semidirect
89. #2697C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2683C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
95. #2681C22semidirect
96. #2681C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2675C22semidirect
106. #2672C22semidirect
107. #2663C22semidirect
108. #2662C22semidirect
109. #2656C22semidirect
110. #2652C22semidirect
111. #2648C22semidirect
112. #2647C22semidirect
113. #2644C22semidirect
114. #2643C22semidirect
115. #2641C22semidirect
116. #2639C22semidirect
117. #2630C22semidirect
118. #2628C22semidirect
119. #2626C22semidirect
120. #2626C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2617C22semidirect
127. #2616C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2587C22semidirect
132. #2566C22semidirect
133. #2562C22semidirect
134. #2559C22semidirect
135. #2552C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
139. #2541C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2539C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
153. #2538C22semidirect
154. #2538C22semidirect
156. #2537C22semidirect
157. #2535C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2509C22semidirect
161. #2504C22semidirect
162. #2501C22semidirect
163. #2500C22semidirect
164. #2500C22semidirect
165. #2497C22semidirect
166. #2496C22semidirect
167. #2494C22semidirect
168. #2494C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2487C22semidirect
172. #2487C22semidirect
173. #2487C22semidirect
174. #2487C22semidirect
175. #2481C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2469C22semidirect
179. #2464C22semidirect
180. #2461C22semidirect
181. #2458C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2453C22semidirect
187. #2452C22semidirect
188. #2449C22semidirect
189. #2448C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2443C22semidirect
193. #2443C22semidirect
194. #2443C22semidirect
195. #2442C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
198. #2441C22semidirect
199. #2440C22semidirect
200. #2437C22semidirect
202. #2435C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2427C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
216. #2424C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2424C22semidirect
221. #2422C22semidirect
222. #2422C22semidirect
223. #2422C22semidirect
224. #2422C22semidirect
225. #2422C22semidirect
226. #2422C22semidirect
227. #2421C22semidirect
228. #2418C22semidirect
229. #2417C22semidirect
230. #2417C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
247. #2410C22semidirect
248. #2410C22semidirect
249. #2410C22semidirect
250. #2409C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2398C22semidirect
259. #2396C22semidirect
260. #2392C22semidirect
261. C2×#396C22semidirect
262. #2388C22semidirect
264. #2361C22semidirect
265. #2361C22semidirect
266. #2360C22semidirect
267. #2354C22semidirect
268. Q8×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. #2341C22semidirect
275. D4×C22⋊C4C22semidirect
277. #2325C22semidirect
278. #2323C22semidirect
281. C4×#127C22semidirect
282. C4×#124C22semidirect
283. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#120C22semidirect
290. #2295C22semidirect
291. #2293C22semidirect
293. C2×#389C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. C2×#384C22semidirect
297. C2×#380C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594122
#594082
#593042
#592142
#589962
#536592
#535592
#530762
#529812
#529732
#529562
#524722
#429882
#428552
#425812
#424902
#407332
#397422
#396342
#393412
#391942
#391442
#389102
#380802
#376492
#376252
#376212
#375052
#374392
#365762
#361822
D4×#1212
C2×#25382
#347082
#346812