Finite Group Databasebeta

← #7650122

Subgroups — #7650122

Order 512.

5787 conjugacy classes of subgroups.

The subgroup lattice has 1971 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42688C212yesmaximal, complemented
2#42641C212yesmaximal, complemented
3#42617C212yesmaximal, complemented
4#42565C212yesmaximal, complemented
5#42533C212yesmaximal, complemented
6#42508C212yesmaximal, complemented
7#42508C212yesmaximal, complemented
8#42508C212yesmaximal, complemented
9#40889C214yesmaximal, complemented
10#40810C214yesmaximal, complemented
11#40217C212yesmaximal, complemented
12#40054C212yesmaximal, complemented
13#39996C212yesmaximal, complemented
14#39996C212yesmaximal, complemented
15#39402C212yesmaximal, complemented
16#39378C212yesmaximal, complemented
17#39212C212yesmaximal, complemented
18#39191C212yesmaximal, complemented
19#38534C214yesmaximal, complemented
20#37722C214yesmaximal, complemented
21#35563C211yesmaximal, characteristic, complemented
22#35533C211yesmaximal, characteristic, complemented
23#35517C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35514C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35252C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34936C211yesmaximal, characteristic, complemented
31#34809C211yesmaximal, characteristic, complemented
32C2×#2416C211yesmaximal, characteristic, complemented
33#34255C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34200C211yesmaximal, characteristic, complemented
36C2×#540C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×#121C2212yes—
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×#520C2211yescharacteristic
49C2×#518C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic
52C23×C4⋊C4C2211yescharacteristic
53#2864C2212yescomplemented
54#2859C2212yescomplemented
55#2856C2212yescomplemented
56#2850C2212yescomplemented
57#2849C2214yes—
58#2837C2214yescomplemented
59#2837C2214yescomplemented
60#2837C2214yescomplemented
61#2828C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2793C2214yescomplemented
65#2793C2214yescomplemented
66#2753C2214yescomplemented
67#2753C2214yescomplemented
68#2752C2214yescomplemented
69#2752C2214yescomplemented
70#2748C2214yescomplemented
71#2748C2214yescomplemented
72#2748C2214yescomplemented
73#2743C2214yescomplemented
74#2743C2214yescomplemented
75#2743C2214yescomplemented
76#2741C2214yescomplemented
77#2740C2214yescomplemented
78#2711C2214yescomplemented
79#2711C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yescomplemented
82#2701C2214yescomplemented
83#2701C2214yescomplemented
84#2701C2214yescomplemented
85#2699C2214yescomplemented
86#2688C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2671C2214yescomplemented
92#2671C2214yescomplemented
93#2671C2214yescomplemented
94#2661C2214yescomplemented
95#2651C2214yescomplemented
96#2649C2214yescomplemented
97#2649C2214yescomplemented
98#2649C2214yescomplemented
99#2648C2214yescomplemented
100#2648C2214yescomplemented
101#2647C2212yescomplemented
102#2647C2212yescomplemented
103#2635C2214yescomplemented
104#2635C2214yescomplemented
105#2635C2214yescomplemented
106#2629C2214yescomplemented
107#2624C2214yescomplemented
108#2623C2214yes—
109#2620C2212yescomplemented
110#2619C2212yescomplemented
111#2548C2212yescomplemented
112#2545C2212yescomplemented
113#2544C2212yescomplemented
114#2542C2211yescharacteristic, complemented
115#2542C2211yescharacteristic, complemented
116#2541C2211yescharacteristic, complemented
117#2541C2211yescharacteristic, complemented
118#2541C2212yescomplemented
119#2540C2211yescharacteristic, complemented
120#2540C2211yescharacteristic, complemented
121#2540C2211yescharacteristic, complemented
122#2540C2211yescharacteristic, complemented
123#2539C2212yes—
124#2539C2212yes—
125#2537C2212yescomplemented
126#2537C2212yescomplemented
127#2537C2212yescomplemented
128#2537C2212yescomplemented
129#2535C2212yescomplemented
130#2535C2212yescomplemented
131#2535C2212yescomplemented
132#2535C2212yescomplemented
133#2534C2214yes—
134#2516C2214yescomplemented
135#2509C2212yescomplemented
136#2508C2212yescomplemented
137#2507C2212yescomplemented
138#2506C2212yescomplemented
139#2505C2214yes—
140#2504C2212yescomplemented
141#2503C2212yescomplemented
142#2502C2212yescomplemented
143#2501C2212yes—
144#2501C2212yescomplemented
145#2497C2214yescomplemented
146#2487C2212yescomplemented
147#2487C2211yescharacteristic, complemented
148#2487C2212yescomplemented
149#2487C2212yescomplemented
150#2487C2212yescomplemented
151#2487C2211yescharacteristic, complemented
152#2486C2211yescharacteristic, complemented
153#2486C2212yescomplemented
154#2486C2212yescomplemented
155#2486C2212yescomplemented
156#2486C2212yescomplemented
157#2486C2211yescharacteristic, complemented
158#2485C2211yescharacteristic, complemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2211yescharacteristic, complemented
162#2485C2212yescomplemented
163#2485C2211yescharacteristic, complemented
164#2485C2212yescomplemented
165#2485C2211yescharacteristic, complemented
166#2484C2212yes—
167#2483C2212yes—
168#2482C2212yes—
169#2476C2214yescomplemented
170#2476C2214yescomplemented
171#2473C2214yes—
172#2471C2214yescomplemented
173#2471C2214yescomplemented
174#2464C2214yescomplemented
175#2464C2214yescomplemented
176#2464C2214yescomplemented
177#2448C2212yescomplemented
178#2447C2212yescomplemented
179#2446C2212yescomplemented
180#2445C2212yescomplemented
181#2444C2214yes—
182#2443C2214yes—
183#2433C2212yes—
184#2428C2214yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2212yescomplemented
188#2428C2212yescomplemented
189#2428C2212yescomplemented
190#2428C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2427C2212yescomplemented
195#2426C2212yescomplemented
196#2426C2212yescomplemented
197#2424C2214yes—
198#2424C2214yes—
199#2423C2212yescomplemented
200#2422C2212yescomplemented
201#2421C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2214yescomplemented
204#2420C2214yescomplemented
205#2419C2214yes—
206#2418C2214yes—
207#2416C2212yes—
208#2416C2212yes—
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2416C2212yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2414C2212yescomplemented
224#2414C2212yescomplemented
225#2414C2212yescomplemented
226#2414C2212yescomplemented
227#2412C2214yes—
228#2412C2214yes—
229#2411C2214yes—
230#2410C2214yes—
231#2410C2214yes—
232#2410C2214yes—
233#2408C2214yes—
234#2405C2212yes—
235#2397C2212yescomplemented
236#2397C2212yescomplemented
237#2395C2212yescomplemented
238#2395C2212yescomplemented
239C2×#396C2212yes—
240C2×#394C2212yes—
241#2361C2212yescomplemented
242#2361C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2359C2214yes—
246#2358C2214yes—
247#2357C2212yescomplemented
248#2357C2212yescomplemented
249#2354C2212yescomplemented
250#2354C2212yescomplemented
251#2354C2212yescomplemented
252#2352C2212yescomplemented
253#2352C2212yescomplemented
254#2352C2212yescomplemented
255#2352C2212yescomplemented
256D4×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258D4×C4⋊C4C2212yescomplemented
259#2342C2214yes—
260#2342C2214yes—
261#2333C2214yescomplemented
262#2333C2214yescomplemented
263#2324C2214yescomplemented
264#2324C2212yescomplemented
265#2323C2212yescomplemented
266#2322C2214yes—
267#2319C2212yescomplemented
268#2319C2212yescomplemented
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×#127C2212yescomplemented
280C4×#127C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#123C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#120C2214yes—
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#386C2212yes—
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C24×C4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308#540—416no—
309#535—44no—
310#535—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323#525—28no—
324#525—28no—
325#525—44no—
326#525—44no—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×#121—44no—
346C2×#121—44no—
347C2×#121—48no—
348C2×#121C2311yescharacteristic
349C2×#121C2314yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#120C2312yes—
385C2×#120C2312yes—
386C2×#120C2312yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2312yes—
390#520—44no—
391#520—44no—
392#518—28no—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×D4—44no—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2314yes—
425C2×#117—44no—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2314yes—
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2314yes—
439C2×#117C2311yescharacteristic
440C22×C4⋊C4—44no—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2312yes—
464C22×C42C2311yescharacteristic
465C22×C42C2312yes—
466#400C2314yes—
467#400C2312yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#400C2314yes—
474#400C2312yes—
475#400C2314yes—
476#399C2312yes—
477#399C2312yes—
478#399C2312yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2312yes—
484#399C2312yes—
485#399C2312yes—
486#399C2312yes—
487#399C2312yes—
488#399C2312yes—
489#399C2312yes—
490#398C2312yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2312yes—
498#398C2314yes—
499#398C2314yes—
500#397C2312yes—
501#397C2314yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2312yes—
510#397C2314yes—
511#397C2312yes—
512#397C2314yes—
513#397C2312yes—
514#397C2314yes—
515#397C2312yes—
516#397C2314yes—
517#397C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2312yes—
576#392C2312yes—
577#392C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
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#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2314yes—
749#381C2314yes—
750#381C2314yes—
751#381C2312yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#381C2312yes—
757#381C2314yes—
758#381C2312yes—
759#381C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#379C2314yes—
792#379C2312yes—
793#379C2312yes—
794#379C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823#376C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C43C2312yes—
827C25C2411yescharacteristic
828C25C2411yescharacteristic
829C25C2412yes—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—42no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—42no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—82no—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2411yescharacteristic
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2411yescharacteristic
878C23×C4—24no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4—24no—
882C23×C4—24no—
883C23×C4—24no—
884C23×C4—44no—
885C23×C4—44no—
886C23×C4—82no—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2411yescharacteristic
913C4⋊Q8—42no—
914#127—28no—
915#127—42no—
916#127—44no—
917#127—44no—
918#127—44no—
919#125—48no—
920#124—42no—
921#124—42no—
922#124—44no—
923#124—44no—
924#123—28no—
925#123—28no—
926#123—28no—
927#123—44no—
928#123—48no—
929#123—44no—
930#123—44no—
931#123—48no—
932#123—48no—
933#123—84no—
934C22⋊Q8—24no—
935C22⋊Q8—24no—
936C22⋊Q8—24no—
937C22⋊Q8—24no—
938C22⋊Q8—42no—
939C22⋊Q8—42no—
940C22⋊Q8—42no—
941C22⋊Q8—42no—
942#121—216no—
943#121—24no—
944#121—24no—
945#121—24no—
946#121—24no—
947#121—48no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—42no—
964#121—42no—
965#121—42no—
966#121—42no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—48no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—84no—
976#121—84no—
977#121—84no—
978#120—28no—
979#120—28no—
980#120—44no—
981#120—44no—
982#120—48no—
983#120—48no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—28no—
993C4×D4—28no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—48no—
1011C4×D4—48no—
1012C4×D4—48no—
1013C4×D4—48no—
1014C4×D4—84no—
1015#117—24no—
1016#117—24no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—44no—
1021#117—48no—
1022#117—44no—
1023#117—42no—
1024#117—42no—
1025#117—44no—
1026#117—44no—
1027#117—84no—
1028#117#4118yes—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4—42no—
1037C2×C4⋊C4—42no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—42no—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C22⋊C4—216no—
1102C2×C22⋊C4—44no—
1103C2×C22⋊C4—44no—
1104C2×C22⋊C4—44no—
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—44no—
1109C2×C22⋊C4—82no—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C42—24no—
1189C2×C42—44no—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—24no—
1268C24—24no—
1269C24—24no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24C2514yes—
1280C24C2511yescharacteristic
1281C24C2512yes—
1282C24C2512yes—
1283C24C2511yescharacteristic
1284C24C2511yescharacteristic
1285C24C2511yescharacteristic
1286C24C2511yescharacteristic
1287#41—416no—
1288#41—416no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—28no—
1309C2×D4—28no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—42no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—416no—
1379C2×D4—416no—
1380C2×D4—816no—
1381C2×D4—816no—
1382C2×D4H(5,𝔽2)14yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—41no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—41no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—416no—
1459C22×C4—416no—
1460C22×C4—816no—
1461C22×C4C2×#4114yes—
1462C22×C4H(5,𝔽2)14yes—
1463C22×C4H(5,𝔽2)14yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2514yes—
1471C22×C4C2514yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—28no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—41no—
1519C4⋊C4—41no—
1520C4⋊C4—41no—
1521C4⋊C4—41no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4C2×#4114yes—
1548C4⋊C4C2×#4114yes—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4C2×#4118yes—
1627C42—24no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—22no—
1632C42—24no—
1633C42—24no—
1634C42—24no—
1635C42—24no—
1636C42—24no—
1637C42—42no—
1638C42—42no—
1639C42—42no—
1640C42—44no—
1641C42—44no—
1642C42—44no—
1643C42—42no—
1644C42—44no—
1645C42—42no—
1646C42C2×#4118yes—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—28no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—24no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—24no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—21no—
1681C23—24no—
1682C23—24no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—21no—
1690C23—22no—
1691C23—24no—
1692C23—22no—
1693C23—21no—
1694C23—21no—
1695C23—24no—
1696C23—22no—
1697C23—22no—
1698C23—44no—
1699C23—44no—
1700C23—44no—
1701C23—44no—
1702C23—44no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—48no—
1709C23—82no—
1710C23—82no—
1711C23—82no—
1712C23—84no—
1713C23—84no—
1714C23—84no—
1715C23—84no—
1716C23—84no—
1717C23—84no—
1718C23C22×#4112yes—
1719C23C2×H(5,𝔽2)12yes—
1720C23C2×H(5,𝔽2)12yes—
1721C23C2×H(5,𝔽2)12yes—
1722C23C2×H(5,𝔽2)12yes—
1723C23#58512yes—
1724C23C2611yescharacteristic
1725Q8—44no—
1726Q8—44no—
1727D4—44no—
1728D4—48no—
1729D4—48no—
1730D4—48no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—48no—
1738D4—44no—
1739D4—44no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—84no—
1744D4—84no—
1745D4—88no—
1746D4—88no—
1747D4—88no—
1748D4—84no—
1749D4—84no—
1750D4—88no—
1751D4—164no—
1752D4—164no—
1753D4—164no—
1754D4—164no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—44no—
1828C2×C4—48no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—88no—
1842C2×C4—88no—
1843C2×C4—84no—
1844C2×C4—82no—
1845C2×C4—88no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—88no—
1850C2×C4—164no—
1851C2×C4—164no—
1852C2×C4#540116yescomplemented
1853C2×C4C22×#4114yes—
1854C2×C4C22×#4114yes—
1855C2×C4C22×#4112yes—
1856C2×C4C22×#4112yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—416no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—44no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—44no—
1895C22—42no—
1896C22—41no—
1897C22—42no—
1898C22—42no—
1899C22—41no—
1900C22—44no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—44no—
1905C22—41no—
1906C22—42no—
1907C22—41no—
1908C22—44no—
1909C22—42no—
1910C22—41no—
1911C22—42no—
1912C22—42no—
1913C22—44no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—88no—
1919C22—168no—
1920C22C2×#54014yes—
1921C22C23×#4111yescharacteristic
1922C22C22×H(5,𝔽2)11yescharacteristic
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C2×#58511yescharacteristic
1926C22H(7,𝔽2)11yescharacteristic
1927C222−1+611yescharacteristic
1928C4—24no—
1929C4—24no—
1930C4—22no—
1931C4—42no—
1932C4—42no—
1933C4—41no—
1934C4—42no—
1935C4—44no—
1936C4—42no—
1937C4—41no—
1938C4—42no—
1939C4—41no—
1940C4—42no—
1941C4—44no—
1942C4—44no—
1943C4—42no—
1944C4—42no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4C2×#54014yes—
1954C4C2×#54014yes—
1955C2—24no—
1956C2—42no—
1957C2—42no—
1958C2—42no—
1959C2—82no—
1960C2—82no—
1961C2—81no—
1962C2—84no—
1963C2C22×#54011yescharacteristic
1964C2#6281811yescharacteristic
1965C2#6287511yescharacteristic
1966C2#6291211yescharacteristic
1967C2#6295411yescharacteristic
1968C2#6298511yescharacteristic
1969C2#6300811yescharacteristic
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. #42688C2semidirect
2. #42641C2semidirect
3. #42617C2semidirect
4. #42565C2semidirect
5. #42533C2semidirect
6. #42508C2semidirect
7. #42508C2semidirect
8. #42508C2semidirect
9. #40889C2semidirect
10. #40810C2semidirect
11. #40217C2semidirect
12. #40054C2semidirect
13. #39996C2semidirect
14. #39996C2semidirect
15. #39402C2semidirect
16. #39378C2semidirect
17. #39212C2semidirect
18. #39191C2semidirect
19. #38534C2semidirect
20. #37722C2semidirect
21. #35563C2semidirect
22. #35533C2semidirect
23. #35517C2semidirect
24. #35516C2semidirect
25. #35514C2semidirect
26. #35514C2semidirect
27. #35265C2semidirect
28. #35252C2semidirect
29. #35227C2semidirect
30. #34936C2semidirect
31. #34809C2semidirect
32. C2×#2416C2semidirect
33. #34255C2semidirect
34. #34202C2semidirect
35. #34200C2semidirect
36. C2×#540C22semidirect
53. #2864C22semidirect
54. #2859C22semidirect
55. #2856C22semidirect
56. #2850C22semidirect
58. #2837C22semidirect
59. #2837C22semidirect
60. #2837C22semidirect
61. #2828C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2793C22semidirect
65. #2793C22semidirect
66. #2753C22semidirect
67. #2753C22semidirect
68. #2752C22semidirect
69. #2752C22semidirect
70. #2748C22semidirect
71. #2748C22semidirect
72. #2748C22semidirect
73. #2743C22semidirect
74. #2743C22semidirect
75. #2743C22semidirect
76. #2741C22semidirect
77. #2740C22semidirect
78. #2711C22semidirect
79. #2711C22semidirect
80. #2703C22semidirect
81. #2701C22semidirect
82. #2701C22semidirect
83. #2701C22semidirect
84. #2701C22semidirect
85. #2699C22semidirect
86. #2688C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2671C22semidirect
92. #2671C22semidirect
93. #2671C22semidirect
94. #2661C22semidirect
95. #2651C22semidirect
96. #2649C22semidirect
97. #2649C22semidirect
98. #2649C22semidirect
99. #2648C22semidirect
100. #2648C22semidirect
101. #2647C22semidirect
102. #2647C22semidirect
103. #2635C22semidirect
104. #2635C22semidirect
105. #2635C22semidirect
106. #2629C22semidirect
107. #2624C22semidirect
109. #2620C22semidirect
110. #2619C22semidirect
111. #2548C22semidirect
112. #2545C22semidirect
113. #2544C22semidirect
114. #2542C22semidirect
115. #2542C22semidirect
116. #2541C22semidirect
117. #2541C22semidirect
118. #2541C22semidirect
119. #2540C22semidirect
120. #2540C22semidirect
121. #2540C22semidirect
122. #2540C22semidirect
125. #2537C22semidirect
126. #2537C22semidirect
127. #2537C22semidirect
128. #2537C22semidirect
129. #2535C22semidirect
130. #2535C22semidirect
131. #2535C22semidirect
132. #2535C22semidirect
134. #2516C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
137. #2507C22semidirect
138. #2506C22semidirect
140. #2504C22semidirect
141. #2503C22semidirect
142. #2502C22semidirect
144. #2501C22semidirect
145. #2497C22semidirect
146. #2487C22semidirect
147. #2487C22semidirect
148. #2487C22semidirect
149. #2487C22semidirect
150. #2487C22semidirect
151. #2487C22semidirect
152. #2486C22semidirect
153. #2486C22semidirect
154. #2486C22semidirect
155. #2486C22semidirect
156. #2486C22semidirect
157. #2486C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
169. #2476C22semidirect
170. #2476C22semidirect
172. #2471C22semidirect
173. #2471C22semidirect
174. #2464C22semidirect
175. #2464C22semidirect
176. #2464C22semidirect
177. #2448C22semidirect
178. #2447C22semidirect
179. #2446C22semidirect
180. #2445C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
199. #2423C22semidirect
200. #2422C22semidirect
201. #2421C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2414C22semidirect
225. #2414C22semidirect
226. #2414C22semidirect
235. #2397C22semidirect
236. #2397C22semidirect
237. #2395C22semidirect
238. #2395C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
247. #2357C22semidirect
248. #2357C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2352C22semidirect
253. #2352C22semidirect
254. #2352C22semidirect
255. #2352C22semidirect
256. D4×C4⋊C4C22semidirect
257. D4×C4⋊C4C22semidirect
258. D4×C4⋊C4C22semidirect
261. #2333C22semidirect
262. #2333C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2323C22semidirect
267. #2319C22semidirect
268. #2319C22semidirect
279. C4×#127C22semidirect
280. C4×#127C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect
284. C4×#121C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
1852. C2×C4#540semidirect

Maximal subgroups

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

subgroupindex
#426882
#426412
#426172
#425652
#425332
#425082
#408892
#408102
#402172
#400542
#399962
#394022
#393782
#392122
#391912
#385342
#377222
#355632
#355332
#355172
#355162
#355142
#352652
#352522
#352272
#349362
#348092
C2×#24162
#342552
#342022
#342002