Finite Group Databasebeta

← #8458943

Subgroups — #8458943

Order 512.

6797 conjugacy classes of subgroups.

The subgroup lattice has 2050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#58934C214yesmaximal, complemented
5#57180C214yesmaximal, complemented
6#54942C214yesmaximal, complemented
7#53102C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#47942C214yesmaximal, complemented
10#45992C212yesmaximal, complemented
11#45487C212yesmaximal, complemented
12#44927C212yesmaximal, complemented
13#44870C212yesmaximal, complemented
14#42966C212yesmaximal, complemented
15#42475C212yesmaximal, complemented
16#42430C212yesmaximal, complemented
17#42420C212yesmaximal, complemented
18#40126C212yesmaximal, complemented
19#40122C212yesmaximal, complemented
20#39735C211yesmaximal, characteristic, complemented
21#39434C212yesmaximal, complemented
22#39386C211yesmaximal, characteristic, complemented
23#39361C211yesmaximal, characteristic, complemented
24#39361C212yesmaximal, complemented
25#39342C211yesmaximal, characteristic, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37334C212yesmaximal, complemented
28#37297C212yesmaximal, complemented
29#36460C211yesmaximal, characteristic, complemented
30#36455C211yesmaximal, characteristic, complemented
31D4×#127C211yesmaximal, characteristic, complemented
32#35274C211yesmaximal, characteristic, complemented
33#35272C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#560C2214yescomplemented
37C2×#550C2212yescomplemented
38C2×#550C2211yescharacteristic, complemented
39C2×#546C2212yescomplemented
40C2×D42C2212yescomplemented
41C2×D42C2212yescomplemented
42C2×D42C2212yescomplemented
43C2×D42C2212yescomplemented
44C2×D42C2211yescharacteristic, complemented
45C2×D42C2212yescomplemented
46C2×#540C2212yescomplemented
47C2×#535C2212yescomplemented
48C2×#535C2212yescomplemented
49C2×#535C2212yescomplemented
50C2×#535C2212yescomplemented
51C2×#535C2212yescomplemented
52C2×#532C2211yescharacteristic, complemented
53C22×#127C2211yescharacteristic
54C22×#127C2211yescharacteristic, complemented
55C2×C4×#41C2211yescharacteristic, complemented
56#2867C2211yescharacteristic
57#2867C2212yescomplemented
58#2860C2212yescomplemented
59#2858C2212yescomplemented
60#2856C2211yescharacteristic
61#2856C2212yescomplemented
62#2856C2211yescharacteristic, complemented
63#2856C2212yescomplemented
64#2856C2212yescomplemented
65#2828C2214yescomplemented
66#2828C2214yescomplemented
67#2818C2214yescomplemented
68#2815C2214yescomplemented
69#2815C2214yescomplemented
70#2813C2214yescomplemented
71#2812C2214yescomplemented
72#2812C2214yescomplemented
73#2803C2214yescomplemented
74#2803C2214yescomplemented
75#2756C2214yescomplemented
76#2753C2214yescomplemented
77#2733C2214yescomplemented
78#2733C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2710C2214yescomplemented
82#2703C2214yescomplemented
83#2699C2214yescomplemented
84#2699C2214yescomplemented
85#2686C2214yescomplemented
86#2685C2214yescomplemented
87#2684C2214yescomplemented
88#2679C2214yescomplemented
89#2679C2214yescomplemented
90#2679C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2675C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2670C2214yescomplemented
105#2670C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2668C2214yescomplemented
122#2661C2214yescomplemented
123#2661C2214yescomplemented
124#2657C2214yescomplemented
125#2635C2214yescomplemented
126#2624C2212yescomplemented
127#2624C2212yescomplemented
128#2619C2214yescomplemented
129#2619C2212yescomplemented
130#2619C2212yescomplemented
131#2619C2212yescomplemented
132#2619C2212yescomplemented
133#2619C2212yescomplemented
134#2617C2214yescomplemented
135#2615C2212yescomplemented
136#2613C2214yescomplemented
137#2613C2214yescomplemented
138#2602C2214yescomplemented
139#2571C2211yescharacteristic, complemented
140#2559C2214yescomplemented
141#2557C2214yescomplemented
142#2555C2214yescomplemented
143#2548C2211yescharacteristic, complemented
144#2548C2212yescomplemented
145#2548C2212yescomplemented
146#2548C2211yescharacteristic, complemented
147#2541C2211yescharacteristic
148#2541C2211yescharacteristic
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2211yescharacteristic, complemented
153#2541C2212yescomplemented
154#2541C2211yescharacteristic, complemented
155#2541C2212yescomplemented
156#2541C2212yescomplemented
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2541C2211yescharacteristic, complemented
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2541C2212yescomplemented
163#2541C2211yescharacteristic, complemented
164#2539C2214yescomplemented
165#2537C2212yescomplemented
166#2537C2211yescharacteristic, complemented
167#2535C2212yescomplemented
168#2531C2212yescomplemented
169#2529C2212yescomplemented
170#2526C2214yescomplemented
171#2518C2212yescomplemented
172#2513C2212yescomplemented
173#2513C2212yescomplemented
174#2512C2212yescomplemented
175#2512C2211yescharacteristic, complemented
176#2507C2211yescharacteristic, complemented
177#2500C2212yescomplemented
178#2500C2212yescomplemented
179#2500C2212yescomplemented
180#2500C2211yescharacteristic, complemented
181#2495C2211yescharacteristic, complemented
182#2491C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2211yescharacteristic, complemented
185#2485C2211yescharacteristic, complemented
186#2476C2212yescomplemented
187#2474C2212yescomplemented
188#2467C2212yescomplemented
189#2464C2214yescomplemented
190#2459C2212yescomplemented
191#2456C2212yescomplemented
192#2451C2211yescharacteristic, complemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2211yescharacteristic, complemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2441C2211yescharacteristic, complemented
200#2439C2211yescharacteristic, complemented
201#2433C2212yescomplemented
202#2433C2212yescomplemented
203#2433C2212yescomplemented
204#2433C2212yescomplemented
205#2433C2212yescomplemented
206#2433C2212yescomplemented
207#2433C2214yescomplemented
208#2433C2214yescomplemented
209#2433C2212yescomplemented
210#2433C2212yescomplemented
211#2433C2214yescomplemented
212#2433C2214yescomplemented
213#2433C2212yescomplemented
214#2433C2212yescomplemented
215#2433C2212yescomplemented
216#2433C2212yescomplemented
217#2433C2212yescomplemented
218#2433C2212yescomplemented
219#2433C2212yescomplemented
220#2431C2212yescomplemented
221#2431C2211yescharacteristic, complemented
222#2431C2212yescomplemented
223#2428C2214yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2214yescomplemented
229#2428C2214yescomplemented
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2428C2212yescomplemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2426C2212yescomplemented
237#2426C2211yescharacteristic, complemented
238#2424C2214yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2420C2212yescomplemented
242#2420C2211yescharacteristic, complemented
243#2420C2212yescomplemented
244#2420C2212yescomplemented
245#2414C2211yescharacteristic
246#2414C2211yescharacteristic
247#2414C2214yescomplemented
248#2414C2212yescomplemented
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2410C2214yescomplemented
252#2410C2214yescomplemented
253#2408C2212yescomplemented
254#2408C2214yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2408C2212yescomplemented
259#2408C2212yescomplemented
260#2408C2212yescomplemented
261#2407C2211yescharacteristic, complemented
262#2403C2214yescomplemented
263#2403C2214yescomplemented
264#2395C2212yescomplemented
265#2392C2212yescomplemented
266#2392C2212yescomplemented
267#2388C2212yescomplemented
268#2367C2212yescomplemented
269#2366C2211yescharacteristic, complemented
270#2366C2211yescharacteristic, complemented
271#2363C2212yescomplemented
272#2363C2212yescomplemented
273#2357C2212yescomplemented
274#2354C2211yescharacteristic, complemented
275Q8×C4⋊C4C2211yescharacteristic, complemented
276#2341C2212yescomplemented
277D4×C22⋊C4C2212yescomplemented
278#2333C2214yescomplemented
279#2324C2212yescomplemented
280#2309C2212yescomplemented
281C4×#127C2211yescharacteristic, complemented
282C4×#125C2211yescharacteristic, complemented
283C4×#126C2212yescomplemented
284C4×#124C2212yescomplemented
285C4×#124C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#123C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic, complemented
292#2297C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2293C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2314yes—
310C23×D4C2312yes—
311C23×D4C2312yes—
312#560—416no—
313#550—44no—
314#550—48no—
315#546—48no—
316D42—44no—
317D42—48no—
318D42—48no—
319D42—48no—
320D42—48no—
321D42—48no—
322#540—48no—
323#535—48no—
324#535—48no—
325#535—48no—
326#535—48no—
327#535—48no—
328#532—44no—
329C2×C4⋊Q8C2311yescharacteristic
330C2×#127—44no—
331C2×#127—44no—
332C2×#127C2311yescharacteristic
333C2×#127C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2314yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2314yes—
348C2×#127C2314yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2314yes—
355C2×#127C2314yes—
356C2×#127C2312yes—
357C2×#127C2312yes—
358C2×#127C2312yes—
359C2×#127C2312yes—
360C2×#127C2314yes—
361C2×#126C2312yes—
362C2×#126C2314yes—
363C2×#125C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#123C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
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×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2311yescharacteristic
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444C2×#120C2314yes—
445C2×#120C2314yes—
446C2×#120C2314yes—
447C2×#120C2314yes—
448C2×#120C2314yes—
449C2×#120C2314yes—
450C2×#120C2314yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C4×#41—44no—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2314yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C22⋊C4C2314yes—
491C22×C42C2311yescharacteristic
492C22×C42C2311yescharacteristic
493C22×C42C2312yes—
494#400C2314yes—
495#400C2312yes—
496#399C2314yes—
497#399C2312yes—
498#398C2312yes—
499#398C2312yes—
500#398C2312yes—
501#397C2312yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#397C2312yes—
508#397C2312yes—
509#397C2312yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#396C2312yes—
514#396C2312yes—
515#396C2312yes—
516#396C2312yes—
517#396C2314yes—
518#395C2312yes—
519#394C2312yes—
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#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
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#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#393C2314yes—
566#393C2312yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2312yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2312yes—
597#392C2312yes—
598#392C2312yes—
599#392C2312yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2314yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2312yes—
642#390C2312yes—
643#390C2314yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2311yescharacteristic
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2312yes—
655#390C2314yes—
656#390C2312yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2311yescharacteristic
663#390C2311yescharacteristic
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2311yescharacteristic
668#390C2311yescharacteristic
669#390C2312yes—
670#390C2312yes—
671#390C2311yescharacteristic
672#390C2311yescharacteristic
673#390C2312yes—
674#390C2312yes—
675#390C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2311yescharacteristic
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#389C2311yescharacteristic
689#389C2312yes—
690#389C2311yescharacteristic
691#389C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2314yes—
718#388C2312yes—
719#388C2314yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2314yes—
725#388C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2312yes—
733#387C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2312yes—
767#383C2312yes—
768#382C2311yescharacteristic
769#382C2312yes—
770#382C2312yes—
771#382C2311yescharacteristic
772#382C2312yes—
773#381C2314yes—
774#381C2314yes—
775#381C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827#376C2312yes—
828C43C2312yes—
829C43C2311yescharacteristic
830C25C2414yes—
831C25C2414yes—
832C25C2414yes—
833C2×#41—24no—
834C2×#41—28no—
835C2×#41—24no—
836C2×#41—28no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—42no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×D4—28no—
845C22×D4—28no—
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—44no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4—44no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4—44no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—44no—
865C22×D4—48no—
866C22×D4—48no—
867C22×D4—44no—
868C22×D4—48no—
869C22×D4—48no—
870C22×D4—48no—
871C22×D4—82no—
872C22×D4—82no—
873C22×D4—84no—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C4⋊Q8—42no—
940#127—24no—
941#127—24no—
942#127—24no—
943#127—44no—
944#127—44no—
945#127—44no—
946#127—44no—
947#127—44no—
948#127—44no—
949#127—42no—
950#127—48no—
951#127—48no—
952#127—44no—
953#127—44no—
954#127—44no—
955#127—44no—
956#127—44no—
957#127—44no—
958#127—44no—
959#127—44no—
960#127—44no—
961#127—44no—
962#127—44no—
963#127—44no—
964#127—48no—
965#127—48no—
966#127—48no—
967#127—84no—
968#127—82no—
969#126—28no—
970#126—48no—
971#125—24no—
972#124—28no—
973#124—24no—
974#124—28no—
975#124—44no—
976#124—48no—
977#124—48no—
978#124—48no—
979#123—28no—
980#123—48no—
981#123—48no—
982#123—48no—
983#123—48no—
984#123—48no—
985C22⋊Q8—24no—
986#121—24no—
987#121—28no—
988#121—24no—
989#121—28no—
990#121—28no—
991#121—28no—
992#121—24no—
993#121—216no—
994#121—44no—
995#121—48no—
996#121—48no—
997#121—48no—
998#121—48no—
999#121—48no—
1000#121—44no—
1001#121—44no—
1002#121—48no—
1003#121—48no—
1004#121—48no—
1005#121—48no—
1006#121—48no—
1007#121—48no—
1008#121—48no—
1009#121—48no—
1010#121—48no—
1011#121—48no—
1012#121—48no—
1013#121—48no—
1014#121—42no—
1015#121—42no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—48no—
1025#121—44no—
1026#121—44no—
1027#121—44no—
1028#121—44no—
1029#121—44no—
1030#121—44no—
1031#121—44no—
1032#121—44no—
1033#121—44no—
1034#121—48no—
1035#121—84no—
1036#121—84no—
1037#120—48no—
1038#120—48no—
1039#120—48no—
1040#120—48no—
1041#120—48no—
1042#120—48no—
1043#120—48no—
1044#120—48no—
1045#120—48no—
1046#120—48no—
1047#120—48no—
1048#120—48no—
1049#120—48no—
1050#120—48no—
1051#120—48no—
1052#120—48no—
1053#120—48no—
1054#120—48no—
1055#120—48no—
1056#120—48no—
1057#120—48no—
1058#120—48no—
1059#120—48no—
1060#120—48no—
1061#120—48no—
1062#120—84no—
1063#120—84no—
1064C4×Q8—24no—
1065C4×Q8—42no—
1066C4×Q8—44no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—42no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—44no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—48no—
1089#117—24no—
1090#117—24no—
1091#117—44no—
1092#117—44no—
1093#117—44no—
1094#117—44no—
1095#117—42no—
1096#117—44no—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C22⋊C4—48no—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C42—24no—
1224C2×C42—24no—
1225C2×C42—44no—
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2412yes—
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294C24—28no—
1295C24—28no—
1296C24—44no—
1297C24—44no—
1298C24—44no—
1299C24—44no—
1300C24—44no—
1301C24—44no—
1302C24—44no—
1303C24—44no—
1304C24—44no—
1305C24—44no—
1306C24—44no—
1307C24—44no—
1308C24—44no—
1309C24—44no—
1310C24—44no—
1311C24—44no—
1312C24—44no—
1313C24—44no—
1314C24—44no—
1315C24C2512yes—
1316C24C2512yes—
1317C24C2514yes—
1318C24C2514yes—
1319C24C2514yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323#41—416no—
1324#41—816no—
1325#41—816no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—42no—
1330C2×Q8—42no—
1331C2×Q8H(5,𝔽2)14yes—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—28no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—28no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—42no—
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—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—44no—
1477C2×D4—44no—
1478C2×D4—44no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—44no—
1482C2×D4—816no—
1483C2×D4—816no—
1484C2×D4—816no—
1485C2×D4—816no—
1486C2×D4—816no—
1487C2×D4—816no—
1488C2×D4—816no—
1489C2×D4—816no—
1490C2×D4—832no—
1491C2×D4—832no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—24no—
1510C22×C4—24no—
1511C22×C4—22no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—24no—
1517C22×C4—28no—
1518C22×C4—28no—
1519C22×C4—28no—
1520C22×C4—24no—
1521C22×C4—42no—
1522C22×C4—41no—
1523C22×C4—41no—
1524C22×C4—42no—
1525C22×C4—44no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—42no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4H(5,𝔽2)14yes—
1536C22×C4H(5,𝔽2)14yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2512yes—
1546C22×C4C2511yescharacteristic
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2514yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2511yescharacteristic
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2512yes—
1559C22×C4C2511yescharacteristic
1560C22×C4C2512yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—22no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—42no—
1588C4⋊C4—42no—
1589C4⋊C4—42no—
1590C4⋊C4—42no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—42no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4H(5,𝔽2)14yes—
1604C4⋊C4H(5,𝔽2)14yes—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—22no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—42no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—42no—
1681C22⋊C4—42no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C42—22no—
1690C42—22no—
1691C42—22no—
1692C42—22no—
1693C42—22no—
1694C42—22no—
1695C42—24no—
1696C42—24no—
1697C42—24no—
1698C42—24no—
1699C42—22no—
1700C42—22no—
1701C42—24no—
1702C42—24no—
1703C42—22no—
1704C42—22no—
1705C42—22no—
1706C42—24no—
1707C42—24no—
1708C42—42no—
1709C42—42no—
1710C42—44no—
1711C42—44no—
1712C42—42no—
1713C42—41no—
1714C42H(5,𝔽2)14yes—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—22no—
1728C23—22no—
1729C23—24no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—24no—
1736C23—22no—
1737C23—24no—
1738C23—24no—
1739C23—24no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—24no—
1744C23—24no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—24no—
1754C23—24no—
1755C23—24no—
1756C23—24no—
1757C23—22no—
1758C23—24no—
1759C23—24no—
1760C23—22no—
1761C23—22no—
1762C23—24no—
1763C23—22no—
1764C23—24no—
1765C23—24no—
1766C23—24no—
1767C23—22no—
1768C23—22no—
1769C23—88no—
1770C23—88no—
1771C23—88no—
1772C23—88no—
1773C23—88no—
1774C23—88no—
1775C23—88no—
1776C23—88no—
1777C23—88no—
1778C23—88no—
1779C23—88no—
1780C23—88no—
1781C23—88no—
1782C23—164no—
1783C23—164no—
1784C23—164no—
1785C23—164no—
1786C23—164no—
1787C23—164no—
1788C23—164no—
1789C23—164no—
1790C23C2×H(5,𝔽2)12yes—
1791C23C2×H(5,𝔽2)12yes—
1792C23C2611yescharacteristic
1793Q8—28no—
1794Q8—84no—
1795D4—28no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—44no—
1801D4—48no—
1802D4—48no—
1803D4—48no—
1804D4—44no—
1805D4—48no—
1806D4—48no—
1807D4—44no—
1808D4—48no—
1809D4—84no—
1810D4—88no—
1811D4—88no—
1812D4—88no—
1813D4—88no—
1814D4—84no—
1815D4—84no—
1816D4—88no—
1817D4—88no—
1818D4—88no—
1819D4—88no—
1820D4—84no—
1821D4—84no—
1822D4—88no—
1823D4—88no—
1824D4—84no—
1825D4—84no—
1826D4—88no—
1827D4—88no—
1828D4—88no—
1829D4—88no—
1830D4—88no—
1831D4—164no—
1832D4—164no—
1833D4—164no—
1834D4—164no—
1835D4—164no—
1836D4—164no—
1837D4—164no—
1838D4—164no—
1839D4—164no—
1840D4—164no—
1841D4—164no—
1842D4—164no—
1843D4—164no—
1844D4—164no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—28no—
1862C2×C4—28no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—24no—
1889C2×C4—24no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—24no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—44no—
1915C2×C4—44no—
1916C2×C4—48no—
1917C2×C4—44no—
1918C2×C4—48no—
1919C2×C4—44no—
1920C2×C4—48no—
1921C2×C4—48no—
1922C2×C4—84no—
1923C2×C4—88no—
1924C2×C4—88no—
1925C2×C4—88no—
1926C2×C4—164no—
1927C2×C4C2×H(5,𝔽2)12yes—
1928C2×C4C2×H(5,𝔽2)12yes—
1929C2×C4C2×H(5,𝔽2)12yes—
1930C2×C4C2×H(5,𝔽2)14yes—
1931C2×C4C2×H(5,𝔽2)12yes—
1932C2×C4C2×H(5,𝔽2)14yes—
1933C2×C4C2×H(5,𝔽2)12yes—
1934C2×C4C2×H(5,𝔽2)12yes—
1935C2×C4C2×H(5,𝔽2)12yes—
1936C2×C4C2×H(5,𝔽2)12yes—
1937C2×C4C2×H(5,𝔽2)12yes—
1938C2×C4C2×H(5,𝔽2)12yes—
1939C2×C4C2×H(5,𝔽2)12yes—
1940C2×C4C2×H(5,𝔽2)12yes—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—44no—
1959C22—44no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—44no—
1964C22—42no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—44no—
1972C22—44no—
1973C22—44no—
1974C22—44no—
1975C22—44no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—44no—
1981C22—44no—
1982C22—42no—
1983C22—42no—
1984C22—44no—
1985C22—42no—
1986C22—44no—
1987C22—44no—
1988C22—44no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—44no—
1994C22—44no—
1995C22—42no—
1996C22—44no—
1997C22—1616no—
1998C22—1616no—
1999C22—1616no—
2000C22C22×H(5,𝔽2)11yescharacteristic
2001C22C22×H(5,𝔽2)11yescharacteristic
2002C22C22×H(5,𝔽2)11yescharacteristic
2003C22C22×H(5,𝔽2)11yescharacteristic
2004C22C22×H(5,𝔽2)11yescharacteristic
2005C22C22×H(5,𝔽2)11yescharacteristic
2006C22H(7,𝔽2)11yescharacteristic
2007C4—22no—
2008C4—24no—
2009C4—22no—
2010C4—22no—
2011C4—22no—
2012C4—22no—
2013C4—22no—
2014C4—24no—
2015C4—42no—
2016C4—41no—
2017C4—41no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—41no—
2023C4—42no—
2024C4—44no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—41no—
2029C4—42no—
2030C4—41no—
2031C4—42no—
2032C4#353714yes—
2033C4#354314yes—
2034C2—42no—
2035C2—42no—
2036C2—82no—
2037C2—84no—
2038C2—82no—
2039C2—82no—
2040C2—84no—
2041C2—84no—
2042C2C2×#353711yescharacteristic
2043C2C2×#354311yescharacteristic
2044C2#6283211yescharacteristic
2045C2#6291211yescharacteristic
2046C2#6291211yescharacteristic
2047C2#6291611yescharacteristic
2048C2#6304011yescharacteristic
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. #59646C2semidirect
2. #59126C2semidirect
3. #59124C2semidirect
4. #58934C2semidirect
5. #57180C2semidirect
6. #54942C2semidirect
7. #53102C2semidirect
8. #52969C2semidirect
9. #47942C2semidirect
10. #45992C2semidirect
11. #45487C2semidirect
12. #44927C2semidirect
13. #44870C2semidirect
14. #42966C2semidirect
15. #42475C2semidirect
16. #42430C2semidirect
17. #42420C2semidirect
18. #40126C2semidirect
19. #40122C2semidirect
20. #39735C2semidirect
21. #39434C2semidirect
22. #39386C2semidirect
23. #39361C2semidirect
24. #39361C2semidirect
25. #39342C2semidirect
26. #37626C2semidirect
27. #37334C2semidirect
28. #37297C2semidirect
29. #36460C2semidirect
30. #36455C2semidirect
31. D4×#127C2semidirect
32. #35274C2semidirect
33. #35272C2semidirect
34. #34797C2semidirect
35. #34715C2semidirect
36. C2×#560C22semidirect
37. C2×#550C22semidirect
38. C2×#550C22semidirect
39. C2×#546C22semidirect
40. C2×D42C22semidirect
41. C2×D42C22semidirect
42. C2×D42C22semidirect
43. C2×D42C22semidirect
44. C2×D42C22semidirect
45. C2×D42C22semidirect
46. C2×#540C22semidirect
47. C2×#535C22semidirect
48. C2×#535C22semidirect
49. C2×#535C22semidirect
50. C2×#535C22semidirect
51. C2×#535C22semidirect
52. C2×#532C22semidirect
54. C22×#127C22semidirect
55. C2×C4×#41C22semidirect
57. #2867C22semidirect
58. #2860C22semidirect
59. #2858C22semidirect
61. #2856C22semidirect
62. #2856C22semidirect
63. #2856C22semidirect
64. #2856C22semidirect
65. #2828C22semidirect
66. #2828C22semidirect
67. #2818C22semidirect
68. #2815C22semidirect
69. #2815C22semidirect
70. #2813C22semidirect
71. #2812C22semidirect
72. #2812C22semidirect
73. #2803C22semidirect
74. #2803C22semidirect
75. #2756C22semidirect
76. #2753C22semidirect
77. #2733C22semidirect
78. #2733C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2710C22semidirect
82. #2703C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2686C22semidirect
86. #2685C22semidirect
87. #2684C22semidirect
88. #2679C22semidirect
89. #2679C22semidirect
90. #2679C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2675C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2670C22semidirect
105. #2670C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2668C22semidirect
122. #2661C22semidirect
123. #2661C22semidirect
124. #2657C22semidirect
125. #2635C22semidirect
126. #2624C22semidirect
127. #2624C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2619C22semidirect
132. #2619C22semidirect
133. #2619C22semidirect
134. #2617C22semidirect
135. #2615C22semidirect
136. #2613C22semidirect
137. #2613C22semidirect
138. #2602C22semidirect
139. #2571C22semidirect
140. #2559C22semidirect
141. #2557C22semidirect
142. #2555C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2539C22semidirect
165. #2537C22semidirect
166. #2537C22semidirect
167. #2535C22semidirect
168. #2531C22semidirect
169. #2529C22semidirect
170. #2526C22semidirect
171. #2518C22semidirect
172. #2513C22semidirect
173. #2513C22semidirect
174. #2512C22semidirect
175. #2512C22semidirect
176. #2507C22semidirect
177. #2500C22semidirect
178. #2500C22semidirect
179. #2500C22semidirect
180. #2500C22semidirect
181. #2495C22semidirect
182. #2491C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2485C22semidirect
186. #2476C22semidirect
187. #2474C22semidirect
188. #2467C22semidirect
189. #2464C22semidirect
190. #2459C22semidirect
191. #2456C22semidirect
192. #2451C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2441C22semidirect
200. #2439C22semidirect
201. #2433C22semidirect
202. #2433C22semidirect
203. #2433C22semidirect
204. #2433C22semidirect
205. #2433C22semidirect
206. #2433C22semidirect
207. #2433C22semidirect
208. #2433C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2433C22semidirect
213. #2433C22semidirect
214. #2433C22semidirect
215. #2433C22semidirect
216. #2433C22semidirect
217. #2433C22semidirect
218. #2433C22semidirect
219. #2433C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
222. #2431C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2426C22semidirect
237. #2426C22semidirect
238. #2424C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
243. #2420C22semidirect
244. #2420C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2410C22semidirect
252. #2410C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
258. #2408C22semidirect
259. #2408C22semidirect
260. #2408C22semidirect
261. #2407C22semidirect
262. #2403C22semidirect
263. #2403C22semidirect
264. #2395C22semidirect
265. #2392C22semidirect
266. #2392C22semidirect
267. #2388C22semidirect
268. #2367C22semidirect
269. #2366C22semidirect
270. #2366C22semidirect
271. #2363C22semidirect
272. #2363C22semidirect
273. #2357C22semidirect
274. #2354C22semidirect
275. Q8×C4⋊C4C22semidirect
276. #2341C22semidirect
277. D4×C22⋊C4C22semidirect
278. #2333C22semidirect
279. #2324C22semidirect
280. #2309C22semidirect
281. C4×#127C22semidirect
282. C4×#125C22semidirect
283. C4×#126C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#123C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2285C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596462
#591262
#591242
#589342
#571802
#549422
#531022
#529692
#479422
#459922
#454872
#449272
#448702
#429662
#424752
#424302
#424202
#401262
#401222
#397352
#394342
#393862
#393612
#393422
#376262
#373342
#372972
#364602
#364552
D4×#1272
#352742
#352722
#347972
#347152