Finite Group Databasebeta

← #8424370

Subgroups — #8424370

Order 512.

6358 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59124C212yesmaximal, complemented
3#59124C211yesmaximal, characteristic, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59015C212yesmaximal, complemented
6#58010C214yesmaximal, complemented
7#57269C214yesmaximal, complemented
8#53117C212yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#52973C212yesmaximal, complemented
11#52957C212yesmaximal, complemented
12#52316C214yesmaximal, complemented
13#42612C212yesmaximal, complemented
14#42608C212yesmaximal, complemented
15#42425C212yesmaximal, complemented
16#42421C212yesmaximal, complemented
17#40586C214yesmaximal, complemented
18#39352C211yesmaximal, characteristic, complemented
19#39341C211yesmaximal, characteristic, complemented
20#39201C211yesmaximal, characteristic, complemented
21#39169C211yesmaximal, characteristic, complemented
22#38962C212yesmaximal, complemented
23#38916C212yesmaximal, complemented
24#37694C212yesmaximal, complemented
25#37648C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37493C212yesmaximal, complemented
29#37439C212yesmaximal, complemented
30#36551C211yesmaximal, characteristic, complemented
31#36154C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33C2×#2541C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic, complemented
38C2×#550C2212yescomplemented
39C2×#547C2212yescomplemented
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#546C2214yes—
43C2×#540C2212yescomplemented
44C2×#537C2212yescomplemented
45C2×#532C2211yescharacteristic, complemented
46C2×#532C2211yescharacteristic, complemented
47C22×#127C2211yescharacteristic
48C22×#127C2212yes—
49C2×#525C2212yes—
50C22×#121C2212yes—
51C22×#121C2212yes—
52C22×C4×D4C2211yescharacteristic
53#2858C2211yescharacteristic, complemented
54#2857C2211yescharacteristic
55#2856C2211yescharacteristic, complemented
56#2851C2212yes—
57#2848C2212yes—
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2826C2214yescomplemented
63#2824C2214yescomplemented
64#2819C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2813C2214yescomplemented
71#2813C2214yescomplemented
72#2784C2214yescomplemented
73#2780C2214yescomplemented
74#2748C2214yescomplemented
75#2730C2214yescomplemented
76#2712C2214yescomplemented
77#2710C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2708C2214yescomplemented
81#2708C2214yescomplemented
82#2706C2214yescomplemented
83#2696C2214yescomplemented
84#2693C2214yescomplemented
85#2692C2214yescomplemented
86#2682C2214yescomplemented
87#2682C2214yescomplemented
88#2681C2214yescomplemented
89#2676C2214yescomplemented
90#2676C2214yescomplemented
91#2676C2214yescomplemented
92#2676C2214yescomplemented
93#2675C2214yescomplemented
94#2675C2214yescomplemented
95#2675C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2661C2214yescomplemented
110#2656C2214yescomplemented
111#2648C2214yescomplemented
112#2644C2212yescomplemented
113#2641C2212yescomplemented
114#2641C2212yescomplemented
115#2639C2214yescomplemented
116#2630C2214yescomplemented
117#2630C2214yescomplemented
118#2626C2214yes—
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2622C2214yes—
123#2620C2212yescomplemented
124#2619C2212yescomplemented
125#2619C2212yescomplemented
126#2617C2214yes—
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2615C2214yescomplemented
130#2615C2212yescomplemented
131#2615C2214yescomplemented
132#2589C2214yescomplemented
133#2580C2212yescomplemented
134#2566C2212yescomplemented
135#2563C2211yescharacteristic, complemented
136#2563C2211yescharacteristic, complemented
137#2563C2212yescomplemented
138#2552C2211yescharacteristic, complemented
139#2548C2212yescomplemented
140#2548C2211yescharacteristic, complemented
141#2544C2212yescomplemented
142#2541C2211yescharacteristic
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2541C2212yes—
146#2541C2212yes—
147#2541C2212yes—
148#2541C2212yes—
149#2541C2214yes—
150#2541C2211yescharacteristic
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2541C2211yescharacteristic, complemented
154#2541C2212yescomplemented
155#2541C2212yescomplemented
156#2540C2212yescomplemented
157#2538C2212yescomplemented
158#2538C2211yescharacteristic, complemented
159#2537C2212yescomplemented
160#2537C2212yescomplemented
161#2537C2212yescomplemented
162#2537C2212yescomplemented
163#2522C2212yescomplemented
164#2520C2212yescomplemented
165#2513C2212yescomplemented
166#2511C2211yescharacteristic, complemented
167#2509C2212yescomplemented
168#2507C2211yescharacteristic, complemented
169#2505C2212yes—
170#2502C2211yescharacteristic
171#2501C2212yescomplemented
172#2497C2212yescomplemented
173#2497C2211yescharacteristic, complemented
174#2492C2211yescharacteristic, complemented
175#2491C2212yescomplemented
176#2490C2212yescomplemented
177#2487C2212yes—
178#2487C2211yescharacteristic
179#2487C2212yescomplemented
180#2472C2212yes—
181#2464C2212yescomplemented
182#2461C2212yescomplemented
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2452C2212yescomplemented
189#2452C2211yescharacteristic, complemented
190#2450C2214yes—
191#2450C2212yes—
192#2450C2214yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2212yescomplemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2211yescharacteristic, complemented
201#2445C2212yescomplemented
202#2442C2212yes—
203#2440C2211yescharacteristic
204#2440C2211yescharacteristic
205#2437C2214yes—
206#2437C2214yes—
207#2437C2214yes—
208#2435C2212yes—
209#2433C2212yes—
210#2433C2211yescharacteristic
211#2431C2212yescomplemented
212#2431C2212yescomplemented
213#2431C2214yescomplemented
214#2430C2214yescomplemented
215#2428C2212yescomplemented
216#2428C2212yescomplemented
217#2428C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2214yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2211yescharacteristic, complemented
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2425C2214yescomplemented
226#2424C2214yes—
227#2424C2212yes—
228#2422C2212yescomplemented
229#2422C2212yescomplemented
230#2422C2211yescharacteristic, complemented
231#2422C2212yescomplemented
232#2418C2214yes—
233#2417C2211yescharacteristic
234#2417C2212yescomplemented
235#2416C2211yescharacteristic
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2410C2214yes—
244#2410C2214yes—
245#2410C2214yes—
246#2410C2214yes—
247#2410C2214yes—
248#2408C2212yes—
249#2408C2214yes—
250#2408C2212yes—
251#2408C2211yescharacteristic
252#2408C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2214yescomplemented
257#2407C2214yescomplemented
258#2405C2214yes—
259#2405C2214yes—
260#2402C2212yescomplemented
261#2396C2212yescomplemented
262#2392C2212yescomplemented
263#2388C2212yescomplemented
264C2×#392C2214yes—
265#2369C2211yescharacteristic, complemented
266#2366C2211yescharacteristic, complemented
267#2366C2212yescomplemented
268#2361C2212yescomplemented
269#2349C2212yescomplemented
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2211yescharacteristic, complemented
273#2345C2212yescomplemented
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2212yes—
278#2328C2212yescomplemented
279#2324C2212yescomplemented
280#2315C2214yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic, complemented
296C2×#380C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2314yes—
307C23×D4C2312yes—
308C23×D4C2314yes—
309C24×C4C2312yes—
310#554—44no—
311#550—44no—
312#550—48no—
313#547—48no—
314#546—48no—
315#546—416no—
316#546—48no—
317#540—48no—
318#537—48no—
319#532—44no—
320#532—44no—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×#127—44no—
325C2×#127—48no—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2311yescharacteristic
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2314yes—
335C2×#127C2312yes—
336C2×#127C2314yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2311yescharacteristic
341C2×#125C2312yes—
342C2×#125C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2312yes—
349#525—48no—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×#121—48no—
373C2×#121—48no—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#120C2312yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2312yes—
424C2×#120C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×D4—44no—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C22⋊C4C2314yes—
465C22×C22⋊C4C2314yes—
466C22×C22⋊C4C2314yes—
467C22×C22⋊C4C2314yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2314yes—
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2312yes—
473#400C2312yes—
474#400C2314yes—
475#400C2312yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2312yes—
487#399C2314yes—
488#399C2314yes—
489#398C2312yes—
490#398C2314yes—
491#398C2314yes—
492#398C2312yes—
493#398C2312yes—
494#398C2312yes—
495#398C2312yes—
496#398C2312yes—
497#398C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2312yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2312yes—
518#396C2314yes—
519#396C2312yes—
520#396C2312yes—
521#396C2314yes—
522#395C2312yes—
523#395C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
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#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2312yes—
572#393C2314yes—
573#393C2314yes—
574#393C2312yes—
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#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2314yes—
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2312yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2314yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2312yes—
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2311yescharacteristic
673#388C2312yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2312yes—
756#384C2311yescharacteristic
757#384C2311yescharacteristic
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2314yes—
787#380C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792#379C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823#376C2312yes—
824C2×#95C2314yes—
825C2×#95C2312yes—
826C43C2311yescharacteristic
827C25C2412yes—
828C25C2414yes—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—48no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—48no—
838C2×#41—48no—
839C2×#41—44no—
840C2×#41—82no—
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2412yes—
844C22×Q8C2412yes—
845C22×D4—24no—
846C22×D4—28no—
847C22×D4—24no—
848C22×D4—28no—
849C22×D4—42no—
850C22×D4—44no—
851C22×D4—48no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—48no—
857C22×D4—44no—
858C22×D4—48no—
859C22×D4—48no—
860C22×D4—48no—
861C22×D4—82no—
862C22×D4—84no—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C23×C4—28no—
900C23×C4—44no—
901C23×C4—44no—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—42no—
926#127—28no—
927#127—28no—
928#127—24no—
929#127—24no—
930#127—24no—
931#127—44no—
932#127—44no—
933#127—44no—
934#127—44no—
935#127—44no—
936#127—42no—
937#127—44no—
938#127—44no—
939#127—48no—
940#127—48no—
941#125—44no—
942#125—44no—
943#124—44no—
944#124—44no—
945#124—44no—
946#124—44no—
947#124—48no—
948#124—82no—
949#123—48no—
950#123—48no—
951#123—44no—
952#123—44no—
953#123—48no—
954#123—48no—
955#123—48no—
956#123—48no—
957#123—48no—
958#123—48no—
959#123—84no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—28no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—48no—
966C22⋊Q8—48no—
967C22⋊Q8—48no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971#121—24no—
972#121—24no—
973#121—28no—
974#121—28no—
975#121—44no—
976#121—44no—
977#121—48no—
978#121—44no—
979#121—48no—
980#121—48no—
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—48no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—48no—
997#121—48no—
998#121—42no—
999#121—44no—
1000#121—42no—
1001#121—44no—
1002#121—44no—
1003#121—48no—
1004#121—44no—
1005#121—44no—
1006#121—48no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—48no—
1011#121—48no—
1012#121—84no—
1013#121—84no—
1014#121—84no—
1015#121—84no—
1016#120—28no—
1017#120—44no—
1018#120—44no—
1019#120—48no—
1020#120—48no—
1021#120—48no—
1022C4×Q8—24no—
1023C4×Q8—44no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—44no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—48no—
1051C4×D4—48no—
1052#117—44no—
1053#117—44no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—42no—
1058C2×C4⋊C4—44no—
1059C2×C4⋊C4—44no—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C22⋊C4—216no—
1117C2×C22⋊C4—44no—
1118C2×C22⋊C4—48no—
1119C2×C22⋊C4—48no—
1120C2×C22⋊C4—48no—
1121C2×C22⋊C4—48no—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C42—24no—
1198C2×C42—24no—
1199C2×C42—44no—
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2412yes—
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2411yescharacteristic
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—24no—
1273C24—28no—
1274C24—28no—
1275C24—28no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24C2514yes—
1284C24C2512yes—
1285C24C2514yes—
1286C24C2511yescharacteristic
1287C24C2512yes—
1288C24C2512yes—
1289C24C2511yescharacteristic
1290#41—816no—
1291#41—816no—
1292#41—816no—
1293#41—832no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—22no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—42no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—42no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—28no—
1340C2×D4—28no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—416no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
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—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—816no—
1415C2×D4—816no—
1416C2×D4—832no—
1417C2×D4—816no—
1418C2×D4—832no—
1419C2×D4H(5,𝔽2)14yes—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—28no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—28no—
1449C22×C4—28no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—41no—
1456C22×C4—42no—
1457C22×C4—41no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—816no—
1482C22×C4H(5,𝔽2)14yes—
1483C22×C42−1+414yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2514yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—28no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—42no—
1567C4⋊C4H(5,𝔽2)14yes—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—22no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—22no—
1590C22⋊C4—24no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4H(5,𝔽2)14yes—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—22no—
1649C42—24no—
1650C42—24no—
1651C42—22no—
1652C42—24no—
1653C42—24no—
1654C42—22no—
1655C42—22no—
1656C42—24no—
1657C42—22no—
1658C42—22no—
1659C42—42no—
1660C42—42no—
1661C42—44no—
1662C42—41no—
1663C42H(5,𝔽2)14yes—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—24no—
1675C23—21no—
1676C23—22no—
1677C23—24no—
1678C23—22no—
1679C23—21no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—24no—
1685C23—21no—
1686C23—24no—
1687C23—22no—
1688C23—24no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—24no—
1694C23—22no—
1695C23—24no—
1696C23—24no—
1697C23—21no—
1698C23—22no—
1699C23—21no—
1700C23—22no—
1701C23—22no—
1702C23—24no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—24no—
1708C23—24no—
1709C23—48no—
1710C23—48no—
1711C23—48no—
1712C23—48no—
1713C23—416no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—88no—
1718C23—88no—
1719C23—88no—
1720C23—88no—
1721C23—88no—
1722C23—88no—
1723C23C2×H(5,𝔽2)14yes—
1724C23C2×H(5,𝔽2)12yes—
1725C23C2×H(5,𝔽2)12yes—
1726C23C2×2−1+412yes—
1727C23C2611yescharacteristic
1728Q8—48no—
1729Q8—44no—
1730Q8—84no—
1731Q8—84no—
1732D4—28no—
1733D4—48no—
1734D4—416no—
1735D4—48no—
1736D4—48no—
1737D4—44no—
1738D4—48no—
1739D4—44no—
1740D4—44no—
1741D4—48no—
1742D4—48no—
1743D4—48no—
1744D4—48no—
1745D4—84no—
1746D4—88no—
1747D4—88no—
1748D4—88no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—88no—
1753D4—88no—
1754D4—88no—
1755D4—88no—
1756D4—88no—
1757D4—88no—
1758D4—88no—
1759D4—84no—
1760D4—84no—
1761D4—84no—
1762D4—88no—
1763D4—88no—
1764D4—88no—
1765D4—164no—
1766D4—164no—
1767D4—164no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—28no—
1781C2×C4—28no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—44no—
1843C2×C4—48no—
1844C2×C4—44no—
1845C2×C4—48no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—44no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—88no—
1854C2×C4—88no—
1855C2×C4—88no—
1856C2×C4—84no—
1857C2×C4—88no—
1858C2×C4—88no—
1859C2×C4—164no—
1860C2×C4—164no—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)14yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×H(5,𝔽2)12yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4C2×H(5,𝔽2)12yes—
1870C2×C4C2×H(5,𝔽2)12yes—
1871C2×C4C2×2−1+412yes—
1872C2×C4C2×2−1+412yes—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—24no—
1880C22—24no—
1881C22—24no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—44no—
1889C22—44no—
1890C22—42no—
1891C22—42no—
1892C22—41no—
1893C22—42no—
1894C22—44no—
1895C22—44no—
1896C22—42no—
1897C22—44no—
1898C22—42no—
1899C22—44no—
1900C22—41no—
1901C22—41no—
1902C22—42no—
1903C22—42no—
1904C22—44no—
1905C22—44no—
1906C22—41no—
1907C22—44no—
1908C22—44no—
1909C22—42no—
1910C22—44no—
1911C22—44no—
1912C22—41no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—44no—
1920C22—44no—
1921C22—816no—
1922C22—1616no—
1923C22#354814yes—
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C22×H(5,𝔽2)11yescharacteristic
1926C22C22×H(5,𝔽2)11yescharacteristic
1927C22C22×H(5,𝔽2)11yescharacteristic
1928C22C22×H(5,𝔽2)11yescharacteristic
1929C22C22×2−1+411yescharacteristic
1930C22H(7,𝔽2)11yescharacteristic
1931C4—22no—
1932C4—22no—
1933C4—24no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—41no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—41no—
1942C4—42no—
1943C4—42no—
1944C4—44no—
1945C4—42no—
1946C4—41no—
1947C4—42no—
1948C4—41no—
1949C4—42no—
1950C4—42no—
1951C4—44no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—41no—
1956C4—41no—
1957C4#353614yes—
1958C4#354314yes—
1959C2—24no—
1960C2—44no—
1961C2—81no—
1962C2—82no—
1963C2—82no—
1964C2—84no—
1965C2—84no—
1966C2C2×#353611yescharacteristic
1967C2C2×#354311yescharacteristic
1968C2C2×#354811yescharacteristic
1969C2#6291211yescharacteristic
1970C2#6291211yescharacteristic
1971C2#6291711yescharacteristic
1972C2#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. #59815C2semidirect
2. #59124C2semidirect
3. #59124C2semidirect
4. #59057C2semidirect
5. #59015C2semidirect
6. #58010C2semidirect
7. #57269C2semidirect
8. #53117C2semidirect
9. #53096C2semidirect
10. #52973C2semidirect
11. #52957C2semidirect
12. #52316C2semidirect
13. #42612C2semidirect
14. #42608C2semidirect
15. #42425C2semidirect
16. #42421C2semidirect
17. #40586C2semidirect
18. #39352C2semidirect
19. #39341C2semidirect
20. #39201C2semidirect
21. #39169C2semidirect
22. #38962C2semidirect
23. #38916C2semidirect
24. #37694C2semidirect
25. #37648C2semidirect
26. #37639C2semidirect
27. #37625C2semidirect
28. #37493C2semidirect
29. #37439C2semidirect
30. #36551C2semidirect
31. #36154C2semidirect
32. #36121C2semidirect
33. C2×#2541C2semidirect
34. #34772C2semidirect
35. #34681C2semidirect
36. C2×#554C22semidirect
37. C2×#550C22semidirect
38. C2×#550C22semidirect
39. C2×#547C22semidirect
43. C2×#540C22semidirect
44. C2×#537C22semidirect
45. C2×#532C22semidirect
46. C2×#532C22semidirect
53. #2858C22semidirect
55. #2856C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2826C22semidirect
63. #2824C22semidirect
64. #2819C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2813C22semidirect
71. #2813C22semidirect
72. #2784C22semidirect
73. #2780C22semidirect
74. #2748C22semidirect
75. #2730C22semidirect
76. #2712C22semidirect
77. #2710C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2708C22semidirect
81. #2708C22semidirect
82. #2706C22semidirect
83. #2696C22semidirect
84. #2693C22semidirect
85. #2692C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
88. #2681C22semidirect
89. #2676C22semidirect
90. #2676C22semidirect
91. #2676C22semidirect
92. #2676C22semidirect
93. #2675C22semidirect
94. #2675C22semidirect
95. #2675C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2672C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2661C22semidirect
110. #2656C22semidirect
111. #2648C22semidirect
112. #2644C22semidirect
113. #2641C22semidirect
114. #2641C22semidirect
115. #2639C22semidirect
116. #2630C22semidirect
117. #2630C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
123. #2620C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2589C22semidirect
133. #2580C22semidirect
134. #2566C22semidirect
135. #2563C22semidirect
136. #2563C22semidirect
137. #2563C22semidirect
138. #2552C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2544C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2540C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
159. #2537C22semidirect
160. #2537C22semidirect
161. #2537C22semidirect
162. #2537C22semidirect
163. #2522C22semidirect
164. #2520C22semidirect
165. #2513C22semidirect
166. #2511C22semidirect
167. #2509C22semidirect
168. #2507C22semidirect
171. #2501C22semidirect
172. #2497C22semidirect
173. #2497C22semidirect
174. #2492C22semidirect
175. #2491C22semidirect
176. #2490C22semidirect
179. #2487C22semidirect
181. #2464C22semidirect
182. #2461C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
192. #2450C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
211. #2431C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2430C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
225. #2425C22semidirect
228. #2422C22semidirect
229. #2422C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
234. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
260. #2402C22semidirect
261. #2396C22semidirect
262. #2392C22semidirect
263. #2388C22semidirect
265. #2369C22semidirect
266. #2366C22semidirect
267. #2366C22semidirect
268. #2361C22semidirect
269. #2349C22semidirect
271. D4×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2345C22semidirect
278. #2328C22semidirect
279. #2324C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
283. C4×#127C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
292. #2293C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#591242
#590572
#590152
#580102
#572692
#531172
#530962
#529732
#529572
#523162
#426122
#426082
#424252
#424212
#405862
#393522
#393412
#392012
#391692
#389622
#389162
#376942
#376482
#376392
#376252
#374932
#374392
#365512
#361542
#361212
C2×#25412
#347722
#346812