Finite Group Databasebeta

← #8458936

Subgroups — #8458936

Order 512.

6307 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#58902C214yesmaximal, complemented
5#57961C214yesmaximal, complemented
6#56375C214yesmaximal, complemented
7#53000C212yesmaximal, complemented
8#52971C212yesmaximal, complemented
9#49554C214yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45604C212yesmaximal, complemented
12#44872C212yesmaximal, complemented
13#44868C212yesmaximal, complemented
14#42589C212yesmaximal, complemented
15#42438C212yesmaximal, complemented
16#42422C212yesmaximal, complemented
17#42420C212yesmaximal, complemented
18#39745C211yesmaximal, characteristic, complemented
19#39434C212yesmaximal, complemented
20#39402C212yesmaximal, complemented
21#39386C211yesmaximal, characteristic, complemented
22#39386C212yesmaximal, complemented
23#39352C211yesmaximal, characteristic, complemented
24#39341C211yesmaximal, characteristic, complemented
25#38250C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37302C212yesmaximal, complemented
28#37300C212yesmaximal, complemented
29#36493C211yesmaximal, characteristic, complemented
30#36302C211yesmaximal, characteristic, complemented
31D4×#127C211yesmaximal, characteristic, complemented
32#35274C211yesmaximal, characteristic, complemented
33#35272C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic, complemented
38C2×#546C2212yescomplemented
39C2×D42C2212yes—
40C2×D42C2212yes—
41C2×D42C2212yes—
42C2×#540C2212yescomplemented
43C2×#540C2212yescomplemented
44C2×#540C2214yescomplemented
45C2×#537C2212yescomplemented
46C2×#535C2212yescomplemented
47C2×#535C2212yescomplemented
48C2×#535C2212yescomplemented
49C2×#532C2211yescharacteristic, complemented
50C22×#127C2211yescharacteristic
51C22×#127C2211yescharacteristic
52C2×C4×#41C2211yescharacteristic, complemented
53#2867C2211yescharacteristic
54#2867C2212yescomplemented
55#2861C2212yescomplemented
56#2858C2212yescomplemented
57#2856C2211yescharacteristic
58#2856C2211yescharacteristic
59#2856C2212yescomplemented
60#2856C2212yescomplemented
61#2850C2212yescomplemented
62#2829C2214yescomplemented
63#2829C2214yescomplemented
64#2828C2214yescomplemented
65#2825C2214yescomplemented
66#2825C2214yescomplemented
67#2813C2214yescomplemented
68#2812C2214yescomplemented
69#2812C2214yescomplemented
70#2797C2214yescomplemented
71#2797C2214yescomplemented
72#2730C2214yescomplemented
73#2730C2214yescomplemented
74#2711C2214yescomplemented
75#2710C2214yescomplemented
76#2709C2214yescomplemented
77#2706C2214yescomplemented
78#2706C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2697C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yescomplemented
86#2684C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2676C2214yescomplemented
93#2675C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2672C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2668C2214yescomplemented
117#2668C2214yescomplemented
118#2668C2214yescomplemented
119#2657C2212yescomplemented
120#2657C2214yescomplemented
121#2644C2212yescomplemented
122#2641C2212yescomplemented
123#2635C2214yescomplemented
124#2630C2214yescomplemented
125#2624C2212yescomplemented
126#2624C2212yescomplemented
127#2620C2212yescomplemented
128#2619C2214yescomplemented
129#2619C2214yescomplemented
130#2619C2212yescomplemented
131#2617C2214yescomplemented
132#2617C2214yescomplemented
133#2615C2212yescomplemented
134#2613C2214yes—
135#2600C2214yescomplemented
136#2557C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2548C2211yescharacteristic
139#2548C2211yescharacteristic
140#2548C2212yescomplemented
141#2548C2211yescharacteristic, complemented
142#2544C2212yescomplemented
143#2544C2212yescomplemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2541C2212yes—
147#2541C2212yes—
148#2541C2212yes—
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2211yescharacteristic, complemented
155#2541C2212yescomplemented
156#2541C2212yescomplemented
157#2541C2211yescharacteristic, complemented
158#2541C2212yescomplemented
159#2541C2211yescharacteristic, complemented
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2540C2212yescomplemented
163#2539C2214yescomplemented
164#2538C2211yescharacteristic, complemented
165#2537C2212yescomplemented
166#2535C2212yescomplemented
167#2531C2214yescomplemented
168#2530C2212yescomplemented
169#2528C2212yescomplemented
170#2517C2212yescomplemented
171#2513C2212yescomplemented
172#2513C2212yescomplemented
173#2511C2211yescharacteristic, complemented
174#2506C2211yescharacteristic, complemented
175#2504C2212yescomplemented
176#2501C2212yescomplemented
177#2500C2212yescomplemented
178#2499C2211yescharacteristic, complemented
179#2494C2211yescharacteristic, complemented
180#2490C2212yescomplemented
181#2490C2212yescomplemented
182#2489C2211yescharacteristic, complemented
183#2485C2211yescharacteristic
184#2476C2212yescomplemented
185#2476C2214yescomplemented
186#2474C2212yescomplemented
187#2472C2214yescomplemented
188#2471C2214yescomplemented
189#2471C2214yescomplemented
190#2464C2214yescomplemented
191#2460C2212yes—
192#2459C2212yescomplemented
193#2456C2212yes—
194#2456C2214yescomplemented
195#2454C2212yescomplemented
196#2454C2212yescomplemented
197#2452C2212yescomplemented
198#2451C2211yescharacteristic, complemented
199#2448C2212yescomplemented
200#2447C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2211yescharacteristic, complemented
208#2445C2212yescomplemented
209#2441C2211yescharacteristic, complemented
210#2439C2211yescharacteristic, complemented
211#2435C2212yescomplemented
212#2435C2212yescomplemented
213#2433C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2433C2212yes—
217#2433C2212yes—
218#2433C2212yes—
219#2433C2212yescomplemented
220#2433C2212yescomplemented
221#2433C2212yescomplemented
222#2433C2214yescomplemented
223#2431C2212yescomplemented
224#2431C2212yescomplemented
225#2431C2212yescomplemented
226#2431C2212yescomplemented
227#2431C2211yescharacteristic, complemented
228#2428C2212yescomplemented
229#2428C2214yescomplemented
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2428C2214yescomplemented
233#2428C2212yescomplemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2427C2212yescomplemented
238#2427C2212yescomplemented
239#2426C2211yescharacteristic, complemented
240#2424C2214yescomplemented
241#2422C2212yescomplemented
242#2422C2212yescomplemented
243#2420C2212yescomplemented
244#2420C2211yescharacteristic, complemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2415C2211yescharacteristic
248#2414C2211yescharacteristic
249#2411C2214yescomplemented
250#2410C2214yes—
251#2410C2214yes—
252#2410C2214yescomplemented
253#2408C2214yes—
254#2408C2214yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2407C2211yescharacteristic
259#2407C2212yescomplemented
260#2405C2214yescomplemented
261#2401C2212yescomplemented
262#2395C2212yes—
263#2392C2212yescomplemented
264#2388C2212yes—
265#2377C2214yescomplemented
266#2366C2211yescharacteristic, complemented
267#2366C2212yescomplemented
268#2366C2212yescomplemented
269#2366C2211yescharacteristic, complemented
270#2363C2212yescomplemented
271#2363C2212yescomplemented
272#2361C2212yescomplemented
273#2355C2211yescharacteristic, complemented
274#2354C2212yescomplemented
275D4×C4⋊C4C2211yescharacteristic, complemented
276D4×C22⋊C4C2212yescomplemented
277D4×C22⋊C4C2212yescomplemented
278D4×C22⋊C4C2212yescomplemented
279#2328C2212yescomplemented
280#2309C2212yescomplemented
281C4×#127C2211yescharacteristic
282C4×#125C2212yescomplemented
283C4×#125C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#123C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291#2298C2212yescomplemented
292#2297C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2293C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309#559—44no—
310#550—44no—
311#546—48no—
312D42—48no—
313D42—48no—
314D42—48no—
315#540—48no—
316#540—48no—
317#540—416no—
318#537—48no—
319#535—48no—
320#535—48no—
321#535—48no—
322#532—44no—
323C2×C4⋊Q8C2311yescharacteristic
324C2×#127—44no—
325C2×#127—44no—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2314yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2314yes—
342C2×#127C2314yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357C2×#124C2314yes—
358C2×#124C2312yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×C22⋊Q8C2311yescharacteristic
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2311yescharacteristic
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C4×#41—44no—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2314yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×#117C2312yes—
464C2×#117C2311yescharacteristic
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C22⋊C4C2314yes—
472C22×C22⋊C4C2314yes—
473C22×C42C2311yescharacteristic
474C22×C42C2311yescharacteristic
475C22×C42C2312yes—
476#401C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2312yes—
485#399C2314yes—
486#398C2312yes—
487#398C2314yes—
488#398C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2312yes—
507#396C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#396C2312yes—
515#395C2312yes—
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#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#393C2314yes—
560#393C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2312yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2312yes—
610#391C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2312yes—
654#390C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#384C2311yescharacteristic
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#384C2312yes—
763#382C2312yes—
764#382C2311yescharacteristic
765#382C2311yescharacteristic
766#382C2312yes—
767#382C2312yes—
768#381C2314yes—
769#381C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823#376C2312yes—
824#376C2312yes—
825C43C2311yescharacteristic
826C43C2312yes—
827C25C2414yes—
828C25C2414yes—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C2×#41—42no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×D4—28no—
842C22×D4—28no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—48no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4—48no—
859C22×D4—48no—
860C22×D4—82no—
861C22×D4—82no—
862C22×D4C2411yescharacteristic
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C4⋊Q8—42no—
921#127—24no—
922#127—24no—
923#127—24no—
924#127—44no—
925#127—44no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—44no—
930#127—44no—
931#127—44no—
932#127—44no—
933#127—42no—
934#127—44no—
935#127—48no—
936#127—48no—
937#127—44no—
938#127—44no—
939#127—44no—
940#127—48no—
941#127—44no—
942#127—44no—
943#127—44no—
944#127—44no—
945#127—84no—
946#127—82no—
947#125—28no—
948#125—24no—
949#125—44no—
950#124—44no—
951#124—48no—
952#124—42no—
953#124—44no—
954#124—48no—
955#124—44no—
956#124—44no—
957#124—44no—
958#124—44no—
959#123—28no—
960#123—48no—
961#123—48no—
962#123—48no—
963#123—48no—
964#123—48no—
965#123—48no—
966#123—48no—
967#123—48no—
968#123—48no—
969C22⋊Q8—24no—
970C22⋊Q8—24no—
971C22⋊Q8—48no—
972C22⋊Q8—42no—
973C22⋊Q8—44no—
974#121—28no—
975#121—24no—
976#121—28no—
977#121—28no—
978#121—28no—
979#121—216no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—48no—
984#121—48no—
985#121—48no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—48no—
990#121—48no—
991#121—48no—
992#121—48no—
993#121—48no—
994#121—48no—
995#121—48no—
996#121—42no—
997#121—42no—
998#121—44no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—48no—
1005#121—48no—
1006#121—44no—
1007#121—48no—
1008#121—48no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—48no—
1013#121—44no—
1014#121—84no—
1015#121—84no—
1016#121—84no—
1017#120—48no—
1018#120—48no—
1019#120—48no—
1020#120—48no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024#120—48no—
1025#120—48no—
1026#120—48no—
1027#120—48no—
1028#120—48no—
1029#120—48no—
1030#120—84no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—42no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—44no—
1041C4×D4—42no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—48no—
1056C4×D4—48no—
1057#117—24no—
1058#117—28no—
1059#117—24no—
1060#117—44no—
1061#117—44no—
1062#117—48no—
1063#117—42no—
1064C2×C4⋊C4—44no—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C22⋊C4—48no—
1112C2×C22⋊C4—84no—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C42—24no—
1192C2×C42—24no—
1193C2×C42—44no—
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270C24—28no—
1271C24—28no—
1272C24—44no—
1273C24—44no—
1274C24—44no—
1275C24—44no—
1276C24—44no—
1277C24—44no—
1278C24—44no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24—44no—
1284C24C2514yes—
1285C24C2514yes—
1286C24C2514yes—
1287C24C2512yes—
1288C24C2512yes—
1289C24C2511yescharacteristic
1290C24C2511yescharacteristic
1291#41—416no—
1292#41—816no—
1293#41—816no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—22no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—28no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—28no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—816no—
1430C2×D4—816no—
1431C2×D4—816no—
1432C2×D4—816no—
1433C2×D4—816no—
1434C2×D4—816no—
1435C2×D4—832no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—28no—
1458C22×C4—28no—
1459C22×C4—24no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—42no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4H(5,𝔽2)14yes—
1483C22×C4H(5,𝔽2)14yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—44no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4H(5,𝔽2)14yes—
1557C4⋊C4H(5,𝔽2)14yes—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—22no—
1649C42—24no—
1650C42—22no—
1651C42—22no—
1652C42—22no—
1653C42—24no—
1654C42—24no—
1655C42—22no—
1656C42—42no—
1657C42—42no—
1658C42—44no—
1659C42—42no—
1660C42—41no—
1661C42H(5,𝔽2)14yes—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—22no—
1675C23—24no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—24no—
1680C23—24no—
1681C23—22no—
1682C23—24no—
1683C23—24no—
1684C23—24no—
1685C23—24no—
1686C23—24no—
1687C23—24no—
1688C23—24no—
1689C23—24no—
1690C23—24no—
1691C23—24no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—24no—
1696C23—22no—
1697C23—22no—
1698C23—24no—
1699C23—22no—
1700C23—24no—
1701C23—22no—
1702C23—24no—
1703C23—24no—
1704C23—24no—
1705C23—24no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—88no—
1710C23—88no—
1711C23—88no—
1712C23—88no—
1713C23—88no—
1714C23—88no—
1715C23—88no—
1716C23—88no—
1717C23—88no—
1718C23—88no—
1719C23—164no—
1720C23—164no—
1721C23—164no—
1722C23—164no—
1723C23C2×H(5,𝔽2)12yes—
1724C23C2×H(5,𝔽2)12yes—
1725C23C2611yescharacteristic
1726Q8—44no—
1727Q8—44no—
1728Q8—84no—
1729D4—28no—
1730D4—48no—
1731D4—48no—
1732D4—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—44no—
1737D4—48no—
1738D4—48no—
1739D4—48no—
1740D4—88no—
1741D4—88no—
1742D4—84no—
1743D4—88no—
1744D4—88no—
1745D4—84no—
1746D4—84no—
1747D4—88no—
1748D4—88no—
1749D4—88no—
1750D4—84no—
1751D4—84no—
1752D4—88no—
1753D4—88no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—88no—
1758D4—88no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762D4—164no—
1763D4—164no—
1764D4—164no—
1765D4—164no—
1766D4—164no—
1767D4—164no—
1768D4—164no—
1769D4—164no—
1770D4—164no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—28no—
1786C2×C4—28no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—48no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—88no—
1852C2×C4—84no—
1853C2×C4—88no—
1854C2×C4—88no—
1855C2×C4—164no—
1856C2×C4—164no—
1857C2×C4—164no—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)14yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×H(5,𝔽2)12yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4C2×H(5,𝔽2)12yes—
1870C2×C4#58512yes—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—44no—
1888C22—44no—
1889C22—44no—
1890C22—44no—
1891C22—42no—
1892C22—42no—
1893C22—44no—
1894C22—44no—
1895C22—44no—
1896C22—42no—
1897C22—44no—
1898C22—44no—
1899C22—42no—
1900C22—42no—
1901C22—44no—
1902C22—44no—
1903C22—44no—
1904C22—42no—
1905C22—44no—
1906C22—42no—
1907C22—42no—
1908C22—44no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—44no—
1913C22—44no—
1914C22—44no—
1915C22—42no—
1916C22—44no—
1917C22—44no—
1918C22—44no—
1919C22—42no—
1920C22—1616no—
1921C22—1616no—
1922C22C22×H(5,𝔽2)11yescharacteristic
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C22×H(5,𝔽2)11yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C2×#58511yescharacteristic
1928C22H(7,𝔽2)11yescharacteristic
1929C4—22no—
1930C4—24no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—42no—
1937C4—41no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—41no—
1942C4—44no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—42no—
1949C4—41no—
1950C4—42no—
1951C4—41no—
1952C4—42no—
1953C4—42no—
1954C4—41no—
1955C4#354214yes—
1956C4#354314yes—
1957C2—42no—
1958C2—42no—
1959C2—82no—
1960C2—82no—
1961C2—84no—
1962C2—84no—
1963C2—84no—
1964C2C2×#354211yescharacteristic
1965C2C2×#354311yescharacteristic
1966C2#6283211yescharacteristic
1967C2#6291211yescharacteristic
1968C2#6291611yescharacteristic
1969C2#6296111yescharacteristic
1970C2#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. #59647C2semidirect
2. #59143C2semidirect
3. #59124C2semidirect
4. #58902C2semidirect
5. #57961C2semidirect
6. #56375C2semidirect
7. #53000C2semidirect
8. #52971C2semidirect
9. #49554C2semidirect
10. #46044C2semidirect
11. #45604C2semidirect
12. #44872C2semidirect
13. #44868C2semidirect
14. #42589C2semidirect
15. #42438C2semidirect
16. #42422C2semidirect
17. #42420C2semidirect
18. #39745C2semidirect
19. #39434C2semidirect
20. #39402C2semidirect
21. #39386C2semidirect
22. #39386C2semidirect
23. #39352C2semidirect
24. #39341C2semidirect
25. #38250C2semidirect
26. #37625C2semidirect
27. #37302C2semidirect
28. #37300C2semidirect
29. #36493C2semidirect
30. #36302C2semidirect
31. D4×#127C2semidirect
32. #35274C2semidirect
33. #35272C2semidirect
34. #34793C2semidirect
35. #34715C2semidirect
36. C2×#559C22semidirect
37. C2×#550C22semidirect
38. C2×#546C22semidirect
42. C2×#540C22semidirect
43. C2×#540C22semidirect
44. C2×#540C22semidirect
45. C2×#537C22semidirect
46. C2×#535C22semidirect
47. C2×#535C22semidirect
48. C2×#535C22semidirect
49. C2×#532C22semidirect
52. C2×C4×#41C22semidirect
54. #2867C22semidirect
55. #2861C22semidirect
56. #2858C22semidirect
59. #2856C22semidirect
60. #2856C22semidirect
61. #2850C22semidirect
62. #2829C22semidirect
63. #2829C22semidirect
64. #2828C22semidirect
65. #2825C22semidirect
66. #2825C22semidirect
67. #2813C22semidirect
68. #2812C22semidirect
69. #2812C22semidirect
70. #2797C22semidirect
71. #2797C22semidirect
72. #2730C22semidirect
73. #2730C22semidirect
74. #2711C22semidirect
75. #2710C22semidirect
76. #2709C22semidirect
77. #2706C22semidirect
78. #2706C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2697C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2686C22semidirect
86. #2684C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2676C22semidirect
93. #2675C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2672C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2657C22semidirect
120. #2657C22semidirect
121. #2644C22semidirect
122. #2641C22semidirect
123. #2635C22semidirect
124. #2630C22semidirect
125. #2624C22semidirect
126. #2624C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2617C22semidirect
132. #2617C22semidirect
133. #2615C22semidirect
135. #2600C22semidirect
136. #2557C22semidirect
137. #2552C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2544C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2540C22semidirect
163. #2539C22semidirect
164. #2538C22semidirect
165. #2537C22semidirect
166. #2535C22semidirect
167. #2531C22semidirect
168. #2530C22semidirect
169. #2528C22semidirect
170. #2517C22semidirect
171. #2513C22semidirect
172. #2513C22semidirect
173. #2511C22semidirect
174. #2506C22semidirect
175. #2504C22semidirect
176. #2501C22semidirect
177. #2500C22semidirect
178. #2499C22semidirect
179. #2494C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
182. #2489C22semidirect
184. #2476C22semidirect
185. #2476C22semidirect
186. #2474C22semidirect
187. #2472C22semidirect
188. #2471C22semidirect
189. #2471C22semidirect
190. #2464C22semidirect
192. #2459C22semidirect
194. #2456C22semidirect
195. #2454C22semidirect
196. #2454C22semidirect
197. #2452C22semidirect
198. #2451C22semidirect
199. #2448C22semidirect
200. #2447C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
208. #2445C22semidirect
209. #2441C22semidirect
210. #2439C22semidirect
211. #2435C22semidirect
212. #2435C22semidirect
219. #2433C22semidirect
220. #2433C22semidirect
221. #2433C22semidirect
222. #2433C22semidirect
223. #2431C22semidirect
224. #2431C22semidirect
225. #2431C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
237. #2427C22semidirect
238. #2427C22semidirect
239. #2426C22semidirect
240. #2424C22semidirect
241. #2422C22semidirect
242. #2422C22semidirect
243. #2420C22semidirect
244. #2420C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
249. #2411C22semidirect
252. #2410C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
259. #2407C22semidirect
260. #2405C22semidirect
261. #2401C22semidirect
263. #2392C22semidirect
265. #2377C22semidirect
266. #2366C22semidirect
267. #2366C22semidirect
268. #2366C22semidirect
269. #2366C22semidirect
270. #2363C22semidirect
271. #2363C22semidirect
272. #2361C22semidirect
273. #2355C22semidirect
274. #2354C22semidirect
275. D4×C4⋊C4C22semidirect
276. D4×C22⋊C4C22semidirect
277. D4×C22⋊C4C22semidirect
278. D4×C22⋊C4C22semidirect
279. #2328C22semidirect
280. #2309C22semidirect
282. C4×#125C22semidirect
283. C4×#125C22semidirect
284. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2298C22semidirect
292. #2297C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2285C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#591432
#591242
#589022
#579612
#563752
#530002
#529712
#495542
#460442
#456042
#448722
#448682
#425892
#424382
#424222
#424202
#397452
#394342
#394022
#393862
#393522
#393412
#382502
#376252
#373022
#373002
#364932
#363022
D4×#1272
#352742
#352722
#347932
#347152