Finite Group Databasebeta

← #8466976

Subgroups — #8466976

Order 512.

6833 conjugacy classes of subgroups.

The subgroup lattice has 2051 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#58251C214yesmaximal, complemented
5#57180C214yesmaximal, complemented
6#54942C214yesmaximal, complemented
7#52986C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#49545C214yesmaximal, complemented
10#46054C212yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#44877C212yesmaximal, complemented
13#44870C212yesmaximal, complemented
14#42578C212yesmaximal, complemented
15#42483C212yesmaximal, complemented
16#42430C212yesmaximal, complemented
17#42420C212yesmaximal, complemented
18#39361C211yesmaximal, characteristic, complemented
19#39361C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39342C212yesmaximal, complemented
22#39138C211yesmaximal, characteristic, complemented
23#38942C211yesmaximal, characteristic, complemented
24#38286C212yesmaximal, complemented
25#37782C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37302C212yesmaximal, complemented
28#37297C212yesmaximal, complemented
29#36302C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31D4×#127C211yesmaximal, characteristic, complemented
32#35274C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34800C211yesmaximal, characteristic, complemented
36C2×#550C2212yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#546C2212yescomplemented
39C2×D42C2212yescomplemented
40C2×D42C2212yescomplemented
41C2×D42C2212yescomplemented
42C2×D42C2212yescomplemented
43C2×D42C2212yescomplemented
44C2×D42C2211yescharacteristic, complemented
45C2×#540C2212yescomplemented
46C2×#535C2212yescomplemented
47C2×#535C2212yescomplemented
48C2×#535C2212yescomplemented
49C2×#535C2214yescomplemented
50C2×#535C2212yescomplemented
51C2×#532C2212yescomplemented
52C2×#532C2211yescharacteristic, complemented
53C22×#127C2211yescharacteristic
54C22×#127C2211yescharacteristic, complemented
55C2×#529C2211yescharacteristic, complemented
56#2867C2211yescharacteristic
57#2867C2212yescomplemented
58#2861C2212yescomplemented
59#2858C2212yescomplemented
60#2856C2211yescharacteristic
61#2856C2211yescharacteristic, complemented
62#2856C2212yescomplemented
63#2856C2212yescomplemented
64#2854C2212yescomplemented
65#2828C2214yescomplemented
66#2828C2214yescomplemented
67#2828C2214yescomplemented
68#2818C2214yescomplemented
69#2815C2214yescomplemented
70#2815C2214yescomplemented
71#2812C2214yescomplemented
72#2812C2214yescomplemented
73#2803C2214yescomplemented
74#2803C2214yescomplemented
75#2756C2214yescomplemented
76#2753C2214yescomplemented
77#2733C2214yescomplemented
78#2733C2214yescomplemented
79#2714C2214yescomplemented
80#2712C2214yescomplemented
81#2703C2214yescomplemented
82#2703C2214yescomplemented
83#2699C2214yescomplemented
84#2699C2214yescomplemented
85#2686C2214yescomplemented
86#2684C2214yescomplemented
87#2679C2214yescomplemented
88#2679C2214yescomplemented
89#2679C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2671C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2214yescomplemented
105#2669C2214yescomplemented
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#2657C2212yescomplemented
126#2641C2212yescomplemented
127#2641C2212yescomplemented
128#2619C2214yescomplemented
129#2619C2212yescomplemented
130#2619C2212yescomplemented
131#2619C2212yescomplemented
132#2619C2212yescomplemented
133#2617C2214yescomplemented
134#2615C2214yescomplemented
135#2615C2212yescomplemented
136#2613C2214yescomplemented
137#2613C2214yescomplemented
138#2592C2212yescomplemented
139#2559C2212yescomplemented
140#2557C2212yescomplemented
141#2555C2214yescomplemented
142#2552C2211yescharacteristic, complemented
143#2550C2211yescharacteristic, complemented
144#2548C2212yescomplemented
145#2548C2211yescharacteristic, complemented
146#2548C2212yescomplemented
147#2548C2211yescharacteristic, complemented
148#2544C2211yescharacteristic, complemented
149#2544C2212yescomplemented
150#2541C2211yescharacteristic
151#2541C2211yescharacteristic
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2212yescomplemented
155#2541C2211yescharacteristic, complemented
156#2541C2211yescharacteristic, complemented
157#2541C2212yescomplemented
158#2541C2211yescharacteristic, complemented
159#2541C2212yescomplemented
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2541C2211yescharacteristic, complemented
163#2541C2212yescomplemented
164#2541C2212yescomplemented
165#2541C2212yescomplemented
166#2540C2211yescharacteristic
167#2537C2212yescomplemented
168#2537C2211yescharacteristic, complemented
169#2535C2211yescharacteristic, complemented
170#2535C2212yescomplemented
171#2532C2212yescomplemented
172#2531C2214yescomplemented
173#2526C2212yescomplemented
174#2521C2212yescomplemented
175#2518C2212yescomplemented
176#2513C2212yescomplemented
177#2513C2211yescharacteristic, complemented
178#2508C2211yescharacteristic, complemented
179#2500C2212yescomplemented
180#2500C2212yescomplemented
181#2500C2211yescharacteristic, complemented
182#2500C2212yescomplemented
183#2497C2211yescharacteristic, complemented
184#2492C2211yescharacteristic, complemented
185#2491C2212yescomplemented
186#2491C2212yescomplemented
187#2491C2211yescharacteristic, complemented
188#2490C2212yescomplemented
189#2490C2211yescharacteristic, complemented
190#2490C2212yescomplemented
191#2490C2212yescomplemented
192#2490C2212yescomplemented
193#2485C2211yescharacteristic, complemented
194#2476C2214yescomplemented
195#2476C2214yescomplemented
196#2464C2212yescomplemented
197#2464C2214yescomplemented
198#2459C2212yescomplemented
199#2459C2214yescomplemented
200#2459C2214yescomplemented
201#2445C2212yescomplemented
202#2439C2211yescharacteristic, complemented
203#2435C2212yescomplemented
204#2433C2212yescomplemented
205#2433C2212yescomplemented
206#2433C2212yescomplemented
207#2433C2212yescomplemented
208#2433C2212yescomplemented
209#2433C2212yescomplemented
210#2433C2214yescomplemented
211#2433C2214yescomplemented
212#2433C2212yescomplemented
213#2433C2212yescomplemented
214#2433C2212yescomplemented
215#2433C2214yescomplemented
216#2433C2212yescomplemented
217#2433C2212yescomplemented
218#2433C2212yescomplemented
219#2433C2212yescomplemented
220#2433C2212yescomplemented
221#2433C2212yescomplemented
222#2433C2212yescomplemented
223#2431C2214yescomplemented
224#2431C2214yescomplemented
225#2431C2212yescomplemented
226#2431C2212yescomplemented
227#2431C2212yescomplemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2214yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2428C2211yescharacteristic, complemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2428C2212yescomplemented
238#2428C2212yescomplemented
239#2428C2212yescomplemented
240#2427C2211yescharacteristic, complemented
241#2427C2212yescomplemented
242#2424C2214yescomplemented
243#2422C2212yescomplemented
244#2420C2212yescomplemented
245#2420C2212yescomplemented
246#2414C2211yescharacteristic
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2414C2214yescomplemented
250#2410C2214yescomplemented
251#2410C2214yescomplemented
252#2408C2212yescomplemented
253#2408C2214yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2408C2212yescomplemented
259#2408C2212yescomplemented
260#2407C2212yescomplemented
261#2404C2214yescomplemented
262#2403C2214yescomplemented
263#2403C2214yescomplemented
264#2398C2212yescomplemented
265#2395C2212yescomplemented
266#2392C2212yescomplemented
267#2388C2212yescomplemented
268#2375C2214yescomplemented
269#2366C2211yescharacteristic, complemented
270#2366C2212yescomplemented
271#2366C2211yescharacteristic, complemented
272#2363C2212yescomplemented
273#2363C2212yescomplemented
274#2357C2212yescomplemented
275#2355C2211yescharacteristic, complemented
276#2354C2211yescharacteristic, complemented
277#2354C2212yescomplemented
278D4×C22⋊C4C2212yescomplemented
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2319C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291#2298C2212yescomplemented
292#2297C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2283C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2314yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2314yes—
304C23×D4C2314yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2312yes—
312#550—48no—
313#550—44no—
314#546—48no—
315D42—44no—
316D42—48no—
317D42—48no—
318D42—48no—
319D42—48no—
320D42—48no—
321#540—48no—
322#535—48no—
323#535—48no—
324#535—48no—
325#535—416no—
326#535—48no—
327#532—44no—
328#532—48no—
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×#127—44no—
332C2×#127—44no—
333C2×#127C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2314yes—
346C2×#127C2312yes—
347C2×#127C2314yes—
348C2×#127C2314yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351C2×#127C2312yes—
352C2×#127C2312yes—
353C2×#127C2312yes—
354C2×#127C2312yes—
355C2×#127C2312yes—
356C2×#127C2312yes—
357C2×#127C2314yes—
358C2×#127C2314yes—
359C2×#127C2312yes—
360C2×#127C2312yes—
361C2×#127C2314yes—
362#529—44no—
363C2×#126C2312yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2311yescharacteristic
390C2×#121C2311yescharacteristic
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2311yescharacteristic
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
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—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2314yes—
490C22×C22⋊C4C2314yes—
491C22×C42C2311yescharacteristic
492C22×C42C2311yescharacteristic
493C22×C42C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#399C2312yes—
498#398C2312yes—
499#398C2312yes—
500#398C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2312yes—
508#397C2312yes—
509#397C2312yes—
510#397C2312yes—
511#397C2312yes—
512#397C2314yes—
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#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#393C2314yes—
562#393C2312yes—
563#393C2314yes—
564#393C2312yes—
565#393C2312yes—
566#392C2314yes—
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#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2312yes—
602#392C2312yes—
603#392C2312yes—
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#391C2312yes—
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2311yescharacteristic
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2314yes—
637#390C2312yes—
638#390C2314yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2312yes—
647#390C2312yes—
648#390C2314yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2311yescharacteristic
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2314yes—
665#390C2311yescharacteristic
666#390C2314yes—
667#390C2312yes—
668#390C2311yescharacteristic
669#390C2312yes—
670#390C2311yescharacteristic
671#390C2314yes—
672#390C2312yes—
673#390C2312yes—
674#390C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2311yescharacteristic
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2312yes—
685#389C2311yescharacteristic
686#389C2311yescharacteristic
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2314yes—
713#388C2312yes—
714#388C2314yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#387C2314yes—
724#387C2312yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
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#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#384C2311yescharacteristic
761#384C2311yescharacteristic
762#384C2312yes—
763#383C2312yes—
764#382C2312yes—
765#382C2311yescharacteristic
766#382C2311yescharacteristic
767#382C2312yes—
768#382C2311yescharacteristic
769#381C2314yes—
770#381C2314yes—
771#381C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826#376C2312yes—
827#376C2312yes—
828C43C2311yescharacteristic
829C43C2312yes—
830C25C2414yes—
831C25C2414yes—
832C25C2414yes—
833C2×#41—28no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—48no—
837C2×#41—48no—
838C2×#41—44no—
839C2×#41—48no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×Q8C2412yes—
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—48no—
857C22×D4—44no—
858C22×D4—44no—
859C22×D4—44no—
860C22×D4—44no—
861C22×D4—44no—
862C22×D4—48no—
863C22×D4—44no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—48no—
868C22×D4—44no—
869C22×D4—44no—
870C22×D4—48no—
871C22×D4—48no—
872C22×D4—48no—
873C22×D4—82no—
874C22×D4—82no—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
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—
924C22×D4C2414yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2414yes—
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C4⋊Q8—24no—
941C4⋊Q8—42no—
942#127—24no—
943#127—24no—
944#127—24no—
945#127—28no—
946#127—44no—
947#127—44no—
948#127—44no—
949#127—44no—
950#127—44no—
951#127—44no—
952#127—42no—
953#127—44no—
954#127—48no—
955#127—48no—
956#127—44no—
957#127—48no—
958#127—44no—
959#127—44no—
960#127—44no—
961#127—44no—
962#127—44no—
963#127—44no—
964#127—44no—
965#127—44no—
966#127—44no—
967#127—48no—
968#127—48no—
969#127—82no—
970#127—84no—
971#126—44no—
972#125—42no—
973#125—44no—
974#124—28no—
975#124—24no—
976#124—44no—
977#124—48no—
978#124—42no—
979#124—48no—
980#124—44no—
981#124—44no—
982#124—48no—
983#124—48no—
984#124—48no—
985#123—48no—
986#123—44no—
987#123—48no—
988#123—48no—
989C22⋊Q8—24no—
990C22⋊Q8—42no—
991#121—24no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—24no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—44no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—44no—
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—48no—
1015#121—48no—
1016#121—48no—
1017#121—42no—
1018#121—42no—
1019#121—42no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
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—48no—
1034#121—44no—
1035#121—44no—
1036#121—44no—
1037#121—48no—
1038#121—44no—
1039#121—44no—
1040#121—84no—
1041#120—216no—
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—48no—
1063#120—48no—
1064#120—84no—
1065#120—84no—
1066#120—84no—
1067#120—84no—
1068C4×Q8—24no—
1069C4×Q8—44no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—44no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—48no—
1092#117—24no—
1093#117—24no—
1094#117—28no—
1095#117—44no—
1096#117—48no—
1097#117—44no—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C22⋊C4—48no—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1221C2×C42—24no—
1222C2×C42—24no—
1223C2×C42—44no—
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
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—816no—
1324#41—832no—
1325#41—816no—
1326C2×Q8—22no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—42no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—28no—
1379C2×D4—28no—
1380C2×D4—24no—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—28no—
1385C2×D4—28no—
1386C2×D4—28no—
1387C2×D4—24no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—42no—
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—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—42no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—42no—
1447C2×D4—44no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—42no—
1451C2×D4—42no—
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—44no—
1483C2×D4—44no—
1484C2×D4—44no—
1485C2×D4—816no—
1486C2×D4—832no—
1487C2×D4—816no—
1488C2×D4—816no—
1489C2×D4—816no—
1490C2×D4—816no—
1491C2×D4—816no—
1492C2×D4—816no—
1493C2×D4—816no—
1494C2×D4—832no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—28no—
1508C22×C4—24no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—28no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—22no—
1517C22×C4—22no—
1518C22×C4—24no—
1519C22×C4—22no—
1520C22×C4—24no—
1521C22×C4—24no—
1522C22×C4—24no—
1523C22×C4—28no—
1524C22×C4—24no—
1525C22×C4—28no—
1526C22×C4—42no—
1527C22×C4—44no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—42no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—42no—
1539C22×C4H(5,𝔽2)14yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2514yes—
1556C22×C4C2512yes—
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—44no—
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—42no—
1599C4⋊C4—42no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—42no—
1603C4⋊C4H(5,𝔽2)14yes—
1604C4⋊C4H(5,𝔽2)14yes—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—28no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—22no—
1615C22⋊C4—22no—
1616C22⋊C4—22no—
1617C22⋊C4—22no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
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—42no—
1677C22⋊C4—44no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
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⋊C4H(5,𝔽2)14yes—
1689C42—22no—
1690C42—22no—
1691C42—22no—
1692C42—22no—
1693C42—22no—
1694C42—22no—
1695C42—22no—
1696C42—24no—
1697C42—24no—
1698C42—24no—
1699C42—24no—
1700C42—24no—
1701C42—24no—
1702C42—22no—
1703C42—22no—
1704C42—24no—
1705C42—24no—
1706C42—22no—
1707C42—42no—
1708C42—42no—
1709C42—44no—
1710C42—44no—
1711C42—42no—
1712C42—41no—
1713C42H(5,𝔽2)14yes—
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—22no—
1730C23—22no—
1731C23—22no—
1732C23—24no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—22no—
1737C23—24no—
1738C23—24no—
1739C23—24no—
1740C23—24no—
1741C23—24no—
1742C23—24no—
1743C23—24no—
1744C23—22no—
1745C23—22no—
1746C23—24no—
1747C23—22no—
1748C23—22no—
1749C23—24no—
1750C23—24no—
1751C23—24no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—24no—
1756C23—24no—
1757C23—24no—
1758C23—24no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—24no—
1763C23—24no—
1764C23—22no—
1765C23—22no—
1766C23—24no—
1767C23—24no—
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—48no—
1794Q8—44no—
1795Q8—84no—
1796D4—28no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—48no—
1801D4—48no—
1802D4—44no—
1803D4—48no—
1804D4—44no—
1805D4—48no—
1806D4—44no—
1807D4—48no—
1808D4—48no—
1809D4—84no—
1810D4—88no—
1811D4—88no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—84no—
1816D4—84no—
1817D4—88no—
1818D4—84no—
1819D4—88no—
1820D4—88no—
1821D4—84no—
1822D4—84no—
1823D4—88no—
1824D4—88no—
1825D4—84no—
1826D4—84no—
1827D4—88no—
1828D4—88no—
1829D4—88no—
1830D4—88no—
1831D4—88no—
1832D4—88no—
1833D4—88no—
1834D4—88no—
1835D4—164no—
1836D4—164no—
1837D4—164no—
1838D4—164no—
1839D4—164no—
1840D4—164no—
1841D4—164no—
1842D4—164no—
1843D4—164no—
1844D4—164no—
1845D4—164no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—28no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—24no—
1886C2×C4—24no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—24no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—22no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—21no—
1914C2×C4—44no—
1915C2×C4—416no—
1916C2×C4—48no—
1917C2×C4—44no—
1918C2×C4—44no—
1919C2×C4—48no—
1920C2×C4—48no—
1921C2×C4—44no—
1922C2×C4—44no—
1923C2×C4—48no—
1924C2×C4—84no—
1925C2×C4—88no—
1926C2×C4—88no—
1927C2×C4—88no—
1928C2×C4C2×H(5,𝔽2)12yes—
1929C2×C4C2×H(5,𝔽2)12yes—
1930C2×C4C2×H(5,𝔽2)12yes—
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)14yes—
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—
1941C2×C4C2×H(5,𝔽2)12yes—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—22no—
1948C22—41no—
1949C22—41no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—42no—
1957C22—42no—
1958C22—44no—
1959C22—42no—
1960C22—44no—
1961C22—44no—
1962C22—42no—
1963C22—44no—
1964C22—44no—
1965C22—42no—
1966C22—42no—
1967C22—44no—
1968C22—42no—
1969C22—44no—
1970C22—42no—
1971C22—44no—
1972C22—44no—
1973C22—42no—
1974C22—44no—
1975C22—44no—
1976C22—44no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—44no—
1981C22—44no—
1982C22—42no—
1983C22—44no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—44no—
1988C22—44no—
1989C22—42no—
1990C22—42no—
1991C22—44no—
1992C22—42no—
1993C22—42no—
1994C22—44no—
1995C22—44no—
1996C22—42no—
1997C22—44no—
1998C22—1616no—
1999C22—1616no—
2000C22—1616no—
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
2006C22C22×H(5,𝔽2)11yescharacteristic
2007C22H(7,𝔽2)11yescharacteristic
2008C4—22no—
2009C4—24no—
2010C4—24no—
2011C4—22no—
2012C4—22no—
2013C4—22no—
2014C4—22no—
2015C4—22no—
2016C4—41no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—41no—
2022C4—41no—
2023C4—42no—
2024C4—44no—
2025C4—42no—
2026C4—41no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—41no—
2032C4—42no—
2033C4#354314yes—
2034C4#354914yes—
2035C2—42no—
2036C2—42no—
2037C2—82no—
2038C2—84no—
2039C2—82no—
2040C2—84no—
2041C2—82no—
2042C2—84no—
2043C2C2×#354311yescharacteristic
2044C2C2×#354911yescharacteristic
2045C2#6283211yescharacteristic
2046C2#6291211yescharacteristic
2047C2#6291611yescharacteristic
2048C2#6291611yescharacteristic
2049C2#6301111yescharacteristic
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. #59640C2semidirect
2. #59126C2semidirect
3. #59124C2semidirect
4. #58251C2semidirect
5. #57180C2semidirect
6. #54942C2semidirect
7. #52986C2semidirect
8. #52969C2semidirect
9. #49545C2semidirect
10. #46054C2semidirect
11. #45655C2semidirect
12. #44877C2semidirect
13. #44870C2semidirect
14. #42578C2semidirect
15. #42483C2semidirect
16. #42430C2semidirect
17. #42420C2semidirect
18. #39361C2semidirect
19. #39361C2semidirect
20. #39342C2semidirect
21. #39342C2semidirect
22. #39138C2semidirect
23. #38942C2semidirect
24. #38286C2semidirect
25. #37782C2semidirect
26. #37614C2semidirect
27. #37302C2semidirect
28. #37297C2semidirect
29. #36302C2semidirect
30. #36128C2semidirect
31. D4×#127C2semidirect
32. #35274C2semidirect
33. #35171C2semidirect
34. #34889C2semidirect
35. #34800C2semidirect
36. C2×#550C22semidirect
37. C2×#550C22semidirect
38. C2×#546C22semidirect
39. C2×D42C22semidirect
40. C2×D42C22semidirect
41. C2×D42C22semidirect
42. C2×D42C22semidirect
43. C2×D42C22semidirect
44. C2×D42C22semidirect
45. C2×#540C22semidirect
46. C2×#535C22semidirect
47. C2×#535C22semidirect
48. C2×#535C22semidirect
49. C2×#535C22semidirect
50. C2×#535C22semidirect
51. C2×#532C22semidirect
52. C2×#532C22semidirect
54. C22×#127C22semidirect
55. C2×#529C22semidirect
57. #2867C22semidirect
58. #2861C22semidirect
59. #2858C22semidirect
61. #2856C22semidirect
62. #2856C22semidirect
63. #2856C22semidirect
64. #2854C22semidirect
65. #2828C22semidirect
66. #2828C22semidirect
67. #2828C22semidirect
68. #2818C22semidirect
69. #2815C22semidirect
70. #2815C22semidirect
71. #2812C22semidirect
72. #2812C22semidirect
73. #2803C22semidirect
74. #2803C22semidirect
75. #2756C22semidirect
76. #2753C22semidirect
77. #2733C22semidirect
78. #2733C22semidirect
79. #2714C22semidirect
80. #2712C22semidirect
81. #2703C22semidirect
82. #2703C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2686C22semidirect
86. #2684C22semidirect
87. #2679C22semidirect
88. #2679C22semidirect
89. #2679C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2671C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2669C22semidirect
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. #2657C22semidirect
126. #2641C22semidirect
127. #2641C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2619C22semidirect
132. #2619C22semidirect
133. #2617C22semidirect
134. #2615C22semidirect
135. #2615C22semidirect
136. #2613C22semidirect
137. #2613C22semidirect
138. #2592C22semidirect
139. #2559C22semidirect
140. #2557C22semidirect
141. #2555C22semidirect
142. #2552C22semidirect
143. #2550C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2544C22semidirect
149. #2544C22semidirect
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. #2541C22semidirect
165. #2541C22semidirect
167. #2537C22semidirect
168. #2537C22semidirect
169. #2535C22semidirect
170. #2535C22semidirect
171. #2532C22semidirect
172. #2531C22semidirect
173. #2526C22semidirect
174. #2521C22semidirect
175. #2518C22semidirect
176. #2513C22semidirect
177. #2513C22semidirect
178. #2508C22semidirect
179. #2500C22semidirect
180. #2500C22semidirect
181. #2500C22semidirect
182. #2500C22semidirect
183. #2497C22semidirect
184. #2492C22semidirect
185. #2491C22semidirect
186. #2491C22semidirect
187. #2491C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
190. #2490C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
193. #2485C22semidirect
194. #2476C22semidirect
195. #2476C22semidirect
196. #2464C22semidirect
197. #2464C22semidirect
198. #2459C22semidirect
199. #2459C22semidirect
200. #2459C22semidirect
201. #2445C22semidirect
202. #2439C22semidirect
203. #2435C22semidirect
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. #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. #2428C22semidirect
238. #2428C22semidirect
239. #2428C22semidirect
240. #2427C22semidirect
241. #2427C22semidirect
242. #2424C22semidirect
243. #2422C22semidirect
244. #2420C22semidirect
245. #2420C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2410C22semidirect
251. #2410C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
258. #2408C22semidirect
259. #2408C22semidirect
260. #2407C22semidirect
261. #2404C22semidirect
262. #2403C22semidirect
263. #2403C22semidirect
264. #2398C22semidirect
265. #2395C22semidirect
266. #2392C22semidirect
267. #2388C22semidirect
268. #2375C22semidirect
269. #2366C22semidirect
270. #2366C22semidirect
271. #2366C22semidirect
272. #2363C22semidirect
273. #2363C22semidirect
274. #2357C22semidirect
275. #2355C22semidirect
276. #2354C22semidirect
277. #2354C22semidirect
278. D4×C22⋊C4C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2319C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2298C22semidirect
292. #2297C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2283C22semidirect
296. C42×D4C22semidirect
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
#596402
#591262
#591242
#582512
#571802
#549422
#529862
#529692
#495452
#460542
#456552
#448772
#448702
#425782
#424832
#424302
#424202
#393612
#393422
#391382
#389422
#382862
#377822
#376142
#373022
#372972
#363022
#361282
D4×#1272
#352742
#351712
#348892
#348002