Finite Group Databasebeta

← #8424376

Subgroups — #8424376

Order 512.

6522 conjugacy classes of subgroups.

The subgroup lattice has 2021 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59124C212yesmaximal, complemented
4#59051C211yesmaximal, characteristic, complemented
5#59013C212yesmaximal, complemented
6#53609C214yesmaximal, complemented
7#53508C214yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#53000C212yesmaximal, complemented
10#52971C212yesmaximal, complemented
11#52966C212yesmaximal, complemented
12#52315C214yesmaximal, complemented
13#42986C212yesmaximal, complemented
14#42969C212yesmaximal, complemented
15#42595C212yesmaximal, complemented
16#42593C212yesmaximal, complemented
17#40640C214yesmaximal, complemented
18#39362C211yesmaximal, characteristic, complemented
19#39342C211yesmaximal, characteristic, complemented
20#39202C211yesmaximal, characteristic, complemented
21#39148C211yesmaximal, characteristic, complemented
22#38949C212yesmaximal, complemented
23#38904C212yesmaximal, complemented
24#37674C212yesmaximal, complemented
25#37650C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37618C211yesmaximal, characteristic, complemented
28#37492C212yesmaximal, complemented
29#37439C212yesmaximal, complemented
30#36586C211yesmaximal, characteristic, complemented
31#36153C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33C2×#2541C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#546C2212yescomplemented
40C2×#546C2212yescomplemented
41C2×D42C2212yes—
42C2×D42C2212yes—
43C2×D42C2211yescharacteristic, complemented
44C2×#535C2212yescomplemented
45C2×#535C2212yescomplemented
46C2×#532C2211yescharacteristic, complemented
47C2×#532C2211yescharacteristic, complemented
48C22×#127C2211yescharacteristic
49C22×#127C2212yescomplemented
50C2×#525C2212yescomplemented
51C22×#121C2212yescomplemented
52C22×#121C2212yescomplemented
53C22×C4×D4C2211yescharacteristic, complemented
54#2858C2211yescharacteristic, complemented
55#2857C2211yescharacteristic, complemented
56#2856C2211yescharacteristic, complemented
57#2850C2212yes—
58#2847C2212yes—
59#2830C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2828C2214yescomplemented
63#2825C2214yescomplemented
64#2825C2214yescomplemented
65#2825C2214yescomplemented
66#2825C2214yescomplemented
67#2818C2214yescomplemented
68#2815C2214yescomplemented
69#2815C2214yescomplemented
70#2813C2214yescomplemented
71#2813C2214yescomplemented
72#2812C2214yescomplemented
73#2797C2214yescomplemented
74#2760C2214yescomplemented
75#2752C2214yescomplemented
76#2749C2214yescomplemented
77#2749C2214yescomplemented
78#2749C2214yescomplemented
79#2714C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yescomplemented
82#2699C2214yescomplemented
83#2697C2214yescomplemented
84#2691C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2688C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2676C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2668C2214yescomplemented
110#2662C2214yescomplemented
111#2657C2212yescomplemented
112#2656C2214yescomplemented
113#2651C2214yescomplemented
114#2644C2212yescomplemented
115#2640C2212yescomplemented
116#2639C2214yescomplemented
117#2635C2214yescomplemented
118#2635C2214yescomplemented
119#2631C2214yescomplemented
120#2631C2214yescomplemented
121#2626C2214yescomplemented
122#2624C2212yescomplemented
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2622C2214yescomplemented
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2619C2212yescomplemented
129#2617C2214yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2615C2212yescomplemented
133#2596C2214yescomplemented
134#2571C2211yescharacteristic, complemented
135#2548C2212yescomplemented
136#2547C2211yescharacteristic, complemented
137#2547C2211yescharacteristic, complemented
138#2544C2212yescomplemented
139#2544C2212yescomplemented
140#2543C2214yescomplemented
141#2541C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2214yescomplemented
144#2541C2214yescomplemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2211yescharacteristic, complemented
149#2541C2211yescharacteristic, complemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2211yescharacteristic, complemented
155#2541C2211yescharacteristic, complemented
156#2537C2211yescharacteristic, complemented
157#2535C2212yescomplemented
158#2535C2212yescomplemented
159#2535C2212yescomplemented
160#2535C2212yescomplemented
161#2525C2212yescomplemented
162#2516C2212yescomplemented
163#2514C2212yescomplemented
164#2513C2211yescharacteristic, complemented
165#2512C2212yescomplemented
166#2510C2214yescomplemented
167#2510C2212yescomplemented
168#2509C2211yescharacteristic, complemented
169#2504C2211yescharacteristic
170#2504C2212yescomplemented
171#2494C2211yescharacteristic, complemented
172#2494C2212yescomplemented
173#2491C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2211yescharacteristic, complemented
176#2487C2211yescharacteristic, complemented
177#2487C2212yescomplemented
178#2486C2212yescomplemented
179#2480C2214yescomplemented
180#2472C2214yescomplemented
181#2472C2212yescomplemented
182#2464C2212yescomplemented
183#2461C2212yescomplemented
184#2456C2214yescomplemented
185#2456C2214yescomplemented
186#2452C2211yescharacteristic, complemented
187#2448C2212yescomplemented
188#2448C2212yescomplemented
189#2447C2212yescomplemented
190#2445C2211yescharacteristic, complemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2214yescomplemented
195#2444C2214yescomplemented
196#2444C2212yescomplemented
197#2442C2211yescharacteristic, complemented
198#2440C2211yescharacteristic, complemented
199#2435C2212yescomplemented
200#2435C2212yescomplemented
201#2433C2211yescharacteristic
202#2433C2212yescomplemented
203#2433C2212yescomplemented
204#2433C2214yescomplemented
205#2433C2212yescomplemented
206#2431C2212yescomplemented
207#2431C2212yescomplemented
208#2431C2212yescomplemented
209#2431C2212yescomplemented
210#2431C2212yescomplemented
211#2428C2212yescomplemented
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2428C2212yescomplemented
215#2428C2212yescomplemented
216#2428C2211yescharacteristic, complemented
217#2428C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2212yescomplemented
222#2425C2214yescomplemented
223#2424C2212yescomplemented
224#2422C2211yescharacteristic, complemented
225#2420C2212yescomplemented
226#2420C2212yescomplemented
227#2420C2212yescomplemented
228#2420C2212yescomplemented
229#2420C2212yescomplemented
230#2417C2212yescomplemented
231#2416C2211yescharacteristic
232#2416C2211yescharacteristic
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2416C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2412C2214yescomplemented
242#2412C2214yescomplemented
243#2410C2214yescomplemented
244#2410C2214yescomplemented
245#2410C2214yescomplemented
246#2410C2214yescomplemented
247#2410C2214yescomplemented
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2211yescharacteristic, complemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2407C2212yescomplemented
258#2403C2214yes—
259#2403C2214yescomplemented
260#2403C2214yescomplemented
261#2401C2212yescomplemented
262#2395C2212yescomplemented
263#2392C2212yescomplemented
264#2388C2212yescomplemented
265C2×#392C2214yescomplemented
266#2366C2212yescomplemented
267#2366C2211yescharacteristic, complemented
268#2365C2211yescharacteristic, complemented
269#2361C2212yescomplemented
270#2354C2211yescharacteristic, complemented
271#2352C2212yescomplemented
272D4×C4⋊C4C2211yescharacteristic, complemented
273#2347C2212yescomplemented
274#2339C2212yescomplemented
275D4×C22⋊C4C2212yescomplemented
276D4×C22⋊C4C2212yescomplemented
277D4×C22⋊C4C2214yescomplemented
278#2328C2212yescomplemented
279#2324C2212yescomplemented
280#2308C2214yescomplemented
281C4×#127C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic, complemented
283C4×#125C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yescomplemented
294#2290C2212yescomplemented
295#2283C2211yescharacteristic, complemented
296C2×#380C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2314yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2314yes—
311C24×C4C2312yes—
312#553—48no—
313#550—48no—
314#547—44no—
315#546—48no—
316#546—48no—
317D42—44no—
318D42—48no—
319D42—48no—
320#535—48no—
321#535—48no—
322#532—44no—
323#532—44no—
324C2×C4⋊Q8C2311yescharacteristic
325C2×C4⋊Q8C2311yescharacteristic
326C2×#127—44no—
327C2×#127—48no—
328C2×#127C2311yescharacteristic
329C2×#127C2311yescharacteristic
330C2×#127C2312yes—
331C2×#127C2311yescharacteristic
332C2×#127C2312yes—
333C2×#127C2314yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2314yes—
340C2×#127C2314yes—
341C2×#127C2314yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#126C2314yes—
346C2×#125C2311yescharacteristic
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2314yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354#525—48no—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×#121—48no—
366C2×#121—48no—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2312yes—
421C2×#120C2312yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2312yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4—44no—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C22⋊C4C2314yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2314yes—
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2314yes—
474C22×C42C2311yescharacteristic
475C22×C42C2311yescharacteristic
476C22×C42C2312yes—
477#401C2314yes—
478#401C2312yes—
479#400C2314yes—
480#400C2312yes—
481#400C2314yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2312yes—
489#398C2312yes—
490#398C2314yes—
491#398C2312yes—
492#397C2314yes—
493#397C2312yes—
494#397C2312yes—
495#397C2312yes—
496#397C2312yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2312yes—
511#397C2314yes—
512#397C2314yes—
513#397C2312yes—
514#397C2312yes—
515#396C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2312yes—
523#396C2312yes—
524#395C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
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#394C2314yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#393C2314yes—
564#393C2314yes—
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#392C2314yes—
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#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2312yes—
603#392C2312yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2312yes—
647#390C2311yescharacteristic
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#383C2314yes—
757#383C2312yes—
758#382C2311yescharacteristic
759#382C2312yes—
760#382C2312yes—
761#382C2311yescharacteristic
762#382C2311yescharacteristic
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2312yes—
790#379C2314yes—
791#379C2314yes—
792#379C2314yes—
793#379C2314yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824#376C2312yes—
825C2×#95C2314yes—
826C2×#95C2312yes—
827C43C2311yescharacteristic
828C25C2412yes—
829C25C2414yes—
830C25C2414yes—
831C2×#41—28no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—28no—
845C22×D4—28no—
846C22×D4—42no—
847C22×D4—44no—
848C22×D4—48no—
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—48no—
860C22×D4—44no—
861C22×D4—48no—
862C22×D4—48no—
863C22×D4—48no—
864C22×D4—48no—
865C22×D4—48no—
866C22×D4—48no—
867C22×D4—82no—
868C22×D4—84no—
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2411yescharacteristic
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C23×C4—28no—
913C23×C4—44no—
914C23×C4—44no—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C4⋊Q8—24no—
936C4⋊Q8—42no—
937#127—28no—
938#127—28no—
939#127—24no—
940#127—24no—
941#127—24no—
942#127—44no—
943#127—44no—
944#127—44no—
945#127—44no—
946#127—44no—
947#127—42no—
948#127—48no—
949#127—44no—
950#127—44no—
951#127—48no—
952#127—48no—
953#127—48no—
954#126—48no—
955#125—24no—
956#124—44no—
957#124—48no—
958#124—44no—
959#124—44no—
960#124—44no—
961#124—44no—
962#124—44no—
963#123—48no—
964#123—48no—
965#123—44no—
966#123—44no—
967#123—48no—
968#123—48no—
969C22⋊Q8—28no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973#121—24no—
974#121—24no—
975#121—24no—
976#121—28no—
977#121—28no—
978#121—24no—
979#121—44no—
980#121—44no—
981#121—48no—
982#121—48no—
983#121—48no—
984#121—48no—
985#121—48no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—48no—
996#121—48no—
997#121—42no—
998#121—44no—
999#121—42no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—48no—
1015#121—48no—
1016#121—48no—
1017#121—84no—
1018#121—82no—
1019#121—84no—
1020#121—84no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024#120—48no—
1025#120—48no—
1026#120—44no—
1027#120—44no—
1028#120—44no—
1029#120—48no—
1030#120—48no—
1031#120—48no—
1032#120—48no—
1033#120—48no—
1034#120—48no—
1035#120—84no—
1036#120—84no—
1037C4×Q8—44no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—44no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—48no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—42no—
1064C4×D4—48no—
1065C4×D4—82no—
1066#117—28no—
1067#117—44no—
1068#117—44no—
1069C2×C4⋊C4—24no—
1070C2×C4⋊C4—24no—
1071C2×C4⋊C4—42no—
1072C2×C4⋊C4—44no—
1073C2×C4⋊C4—44no—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C22⋊C4—44no—
1118C2×C22⋊C4—48no—
1119C2×C22⋊C4—48no—
1120C2×C22⋊C4—48no—
1121C2×C22⋊C4—48no—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C42—24no—
1206C2×C42—24no—
1207C2×C42—44no—
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2412yes—
1211C2×C42C2414yes—
1212C2×C42C2412yes—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2414yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277C24—24no—
1278C24—24no—
1279C24—24no—
1280C24—24no—
1281C24—28no—
1282C24—28no—
1283C24—28no—
1284C24—42no—
1285C24—42no—
1286C24—42no—
1287C24—44no—
1288C24—44no—
1289C24—44no—
1290C24—44no—
1291C24—44no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24—44no—
1296C24—44no—
1297C24—44no—
1298C24C2512yes—
1299C24C2512yes—
1300C24C2514yes—
1301C24C2514yes—
1302C24C2512yes—
1303C24C2511yescharacteristic
1304C24C2512yes—
1305C24C2511yescharacteristic
1306#41—816no—
1307#41—816no—
1308#41—816no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—28no—
1329C2×D4—28no—
1330C2×D4—28no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—28no—
1363C2×D4—28no—
1364C2×D4—416no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
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—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—816no—
1445C2×D4—816no—
1446C2×D4—816no—
1447C2×D4—816no—
1448C2×D4—832no—
1449C2×D4—816no—
1450C2×D4—832no—
1451C2×D4—832no—
1452C2×D4H(5,𝔽2)14yes—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—41no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—41no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—41no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—816no—
1512C22×C4H(5,𝔽2)14yes—
1513C22×C4H(5,𝔽2)14yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2512yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2514yes—
1527C22×C4C2514yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—28no—
1564C4⋊C4—24no—
1565C4⋊C4—42no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—41no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4H(5,𝔽2)14yes—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—22no—
1601C22⋊C4—22no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—41no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C42—22no—
1668C42—22no—
1669C42—22no—
1670C42—22no—
1671C42—22no—
1672C42—22no—
1673C42—24no—
1674C42—24no—
1675C42—28no—
1676C42—22no—
1677C42—22no—
1678C42—24no—
1679C42—22no—
1680C42—24no—
1681C42—22no—
1682C42—42no—
1683C42—42no—
1684C42—41no—
1685C42—44no—
1686C42—41no—
1687C42H(5,𝔽2)14yes—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—24no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—22no—
1714C23—22no—
1715C23—24no—
1716C23—24no—
1717C23—22no—
1718C23—21no—
1719C23—24no—
1720C23—24no—
1721C23—24no—
1722C23—24no—
1723C23—24no—
1724C23—21no—
1725C23—22no—
1726C23—21no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—24no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—22no—
1736C23—21no—
1737C23—24no—
1738C23—24no—
1739C23—22no—
1740C23—48no—
1741C23—48no—
1742C23—48no—
1743C23—48no—
1744C23—416no—
1745C23—84no—
1746C23—84no—
1747C23—84no—
1748C23—88no—
1749C23—88no—
1750C23—88no—
1751C23—88no—
1752C23—88no—
1753C23—88no—
1754C23—88no—
1755C23—88no—
1756C23—88no—
1757C23—164no—
1758C23—164no—
1759C23—164no—
1760C23—164no—
1761C23C2×H(5,𝔽2)14yes—
1762C23C2×H(5,𝔽2)12yes—
1763C23C2×H(5,𝔽2)12yes—
1764C23#58512yes—
1765C23C2611yescharacteristic
1766Q8—48no—
1767Q8—84no—
1768D4—28no—
1769D4—48no—
1770D4—416no—
1771D4—48no—
1772D4—44no—
1773D4—48no—
1774D4—48no—
1775D4—44no—
1776D4—44no—
1777D4—48no—
1778D4—48no—
1779D4—48no—
1780D4—44no—
1781D4—48no—
1782D4—84no—
1783D4—88no—
1784D4—88no—
1785D4—88no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—84no—
1790D4—88no—
1791D4—88no—
1792D4—88no—
1793D4—88no—
1794D4—84no—
1795D4—88no—
1796D4—88no—
1797D4—88no—
1798D4—88no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—84no—
1805D4—84no—
1806D4—84no—
1807D4—164no—
1808D4—164no—
1809D4—164no—
1810D4—164no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—28no—
1820C2×C4—28no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—24no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—48no—
1885C2×C4—44no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—44no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—48no—
1892C2×C4—44no—
1893C2×C4—82no—
1894C2×C4—84no—
1895C2×C4—84no—
1896C2×C4—84no—
1897C2×C4—88no—
1898C2×C4—88no—
1899C2×C4—88no—
1900C2×C4—164no—
1901C2×C4—164no—
1902C2×C4C2×H(5,𝔽2)12yes—
1903C2×C4C2×H(5,𝔽2)14yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4C2×H(5,𝔽2)12yes—
1906C2×C4C2×H(5,𝔽2)12yes—
1907C2×C4C2×H(5,𝔽2)12yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C22—22no—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—24no—
1919C22—24no—
1920C22—24no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—44no—
1928C22—42no—
1929C22—44no—
1930C22—42no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—44no—
1935C22—42no—
1936C22—44no—
1937C22—44no—
1938C22—42no—
1939C22—42no—
1940C22—41no—
1941C22—44no—
1942C22—42no—
1943C22—44no—
1944C22—42no—
1945C22—41no—
1946C22—44no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—44no—
1951C22—41no—
1952C22—44no—
1953C22—42no—
1954C22—42no—
1955C22—44no—
1956C22—41no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—44no—
1961C22—41no—
1962C22—44no—
1963C22—44no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—816no—
1968C22—1616no—
1969C22—1616no—
1970C22#354614yes—
1971C22C22×H(5,𝔽2)11yescharacteristic
1972C22C22×H(5,𝔽2)11yescharacteristic
1973C22C22×H(5,𝔽2)11yescharacteristic
1974C22C22×H(5,𝔽2)11yescharacteristic
1975C22C22×H(5,𝔽2)11yescharacteristic
1976C22C2×#58511yescharacteristic
1977C22H(7,𝔽2)11yescharacteristic
1978C4—22no—
1979C4—22no—
1980C4—24no—
1981C4—22no—
1982C4—41no—
1983C4—42no—
1984C4—44no—
1985C4—42no—
1986C4—42no—
1987C4—42no—
1988C4—41no—
1989C4—42no—
1990C4—42no—
1991C4—41no—
1992C4—42no—
1993C4—41no—
1994C4—42no—
1995C4—42no—
1996C4—41no—
1997C4—42no—
1998C4—41no—
1999C4—42no—
2000C4—44no—
2001C4—41no—
2002C4—41no—
2003C4#353714yes—
2004C4#354314yes—
2005C2—24no—
2006C2—44no—
2007C2—81no—
2008C2—82no—
2009C2—84no—
2010C2—82no—
2011C2—82no—
2012C2—84no—
2013C2C2×#353711yescharacteristic
2014C2C2×#354311yescharacteristic
2015C2C2×#354611yescharacteristic
2016C2#6291211yescharacteristic
2017C2#6291611yescharacteristic
2018C2#6292411yescharacteristic
2019C2#6301211yescharacteristic
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. #59680C2semidirect
2. #59126C2semidirect
3. #59124C2semidirect
4. #59051C2semidirect
5. #59013C2semidirect
6. #53609C2semidirect
7. #53508C2semidirect
8. #53059C2semidirect
9. #53000C2semidirect
10. #52971C2semidirect
11. #52966C2semidirect
12. #52315C2semidirect
13. #42986C2semidirect
14. #42969C2semidirect
15. #42595C2semidirect
16. #42593C2semidirect
17. #40640C2semidirect
18. #39362C2semidirect
19. #39342C2semidirect
20. #39202C2semidirect
21. #39148C2semidirect
22. #38949C2semidirect
23. #38904C2semidirect
24. #37674C2semidirect
25. #37650C2semidirect
26. #37626C2semidirect
27. #37618C2semidirect
28. #37492C2semidirect
29. #37439C2semidirect
30. #36586C2semidirect
31. #36153C2semidirect
32. #36121C2semidirect
33. C2×#2541C2semidirect
34. #34788C2semidirect
35. #34681C2semidirect
36. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
43. C2×D42C22semidirect
44. C2×#535C22semidirect
45. C2×#535C22semidirect
46. C2×#532C22semidirect
47. C2×#532C22semidirect
49. C22×#127C22semidirect
50. C2×#525C22semidirect
51. C22×#121C22semidirect
52. C22×#121C22semidirect
53. C22×C4×D4C22semidirect
54. #2858C22semidirect
55. #2857C22semidirect
56. #2856C22semidirect
59. #2830C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2825C22semidirect
64. #2825C22semidirect
65. #2825C22semidirect
66. #2825C22semidirect
67. #2818C22semidirect
68. #2815C22semidirect
69. #2815C22semidirect
70. #2813C22semidirect
71. #2813C22semidirect
72. #2812C22semidirect
73. #2797C22semidirect
74. #2760C22semidirect
75. #2752C22semidirect
76. #2749C22semidirect
77. #2749C22semidirect
78. #2749C22semidirect
79. #2714C22semidirect
80. #2703C22semidirect
81. #2701C22semidirect
82. #2699C22semidirect
83. #2697C22semidirect
84. #2691C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2688C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2676C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2670C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2668C22semidirect
110. #2662C22semidirect
111. #2657C22semidirect
112. #2656C22semidirect
113. #2651C22semidirect
114. #2644C22semidirect
115. #2640C22semidirect
116. #2639C22semidirect
117. #2635C22semidirect
118. #2635C22semidirect
119. #2631C22semidirect
120. #2631C22semidirect
121. #2626C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
125. #2622C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2617C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2615C22semidirect
133. #2596C22semidirect
134. #2571C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
137. #2547C22semidirect
138. #2544C22semidirect
139. #2544C22semidirect
140. #2543C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2537C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2525C22semidirect
162. #2516C22semidirect
163. #2514C22semidirect
164. #2513C22semidirect
165. #2512C22semidirect
166. #2510C22semidirect
167. #2510C22semidirect
168. #2509C22semidirect
170. #2504C22semidirect
171. #2494C22semidirect
172. #2494C22semidirect
173. #2491C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2487C22semidirect
177. #2487C22semidirect
178. #2486C22semidirect
179. #2480C22semidirect
180. #2472C22semidirect
181. #2472C22semidirect
182. #2464C22semidirect
183. #2461C22semidirect
184. #2456C22semidirect
185. #2456C22semidirect
186. #2452C22semidirect
187. #2448C22semidirect
188. #2448C22semidirect
189. #2447C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2444C22semidirect
196. #2444C22semidirect
197. #2442C22semidirect
198. #2440C22semidirect
199. #2435C22semidirect
200. #2435C22semidirect
202. #2433C22semidirect
203. #2433C22semidirect
204. #2433C22semidirect
205. #2433C22semidirect
206. #2431C22semidirect
207. #2431C22semidirect
208. #2431C22semidirect
209. #2431C22semidirect
210. #2431C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2427C22semidirect
221. #2426C22semidirect
222. #2425C22semidirect
223. #2424C22semidirect
224. #2422C22semidirect
225. #2420C22semidirect
226. #2420C22semidirect
227. #2420C22semidirect
228. #2420C22semidirect
229. #2420C22semidirect
230. #2417C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2412C22semidirect
242. #2412C22semidirect
243. #2410C22semidirect
244. #2410C22semidirect
245. #2410C22semidirect
246. #2410C22semidirect
247. #2410C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2407C22semidirect
259. #2403C22semidirect
260. #2403C22semidirect
261. #2401C22semidirect
262. #2395C22semidirect
263. #2392C22semidirect
264. #2388C22semidirect
265. C2×#392C22semidirect
266. #2366C22semidirect
267. #2366C22semidirect
268. #2365C22semidirect
269. #2361C22semidirect
270. #2354C22semidirect
271. #2352C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2347C22semidirect
274. #2339C22semidirect
275. D4×C22⋊C4C22semidirect
276. D4×C22⋊C4C22semidirect
277. D4×C22⋊C4C22semidirect
278. #2328C22semidirect
279. #2324C22semidirect
280. #2308C22semidirect
281. C4×#127C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. C2×#390C22semidirect
294. #2290C22semidirect
295. #2283C22semidirect
296. C2×#380C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596802
#591262
#591242
#590512
#590132
#536092
#535082
#530592
#530002
#529712
#529662
#523152
#429862
#429692
#425952
#425932
#406402
#393622
#393422
#392022
#391482
#389492
#389042
#376742
#376502
#376262
#376182
#374922
#374392
#365862
#361532
#361212
C2×#25412
#347882
#346812