Finite Group Databasebeta

← #7986239

Subgroups — #7986239

Order 512.

7195 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3546C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59103C212yesmaximal, complemented
5#59094C212yesmaximal, complemented
6#59078C211yesmaximal, characteristic, complemented
7#59055C211yesmaximal, characteristic, complemented
8#48833C214yesmaximal, complemented
9#48791C214yesmaximal, complemented
10#45770C214yesmaximal, complemented
11#45404C212yesmaximal, complemented
12#45287C212yesmaximal, complemented
13#45134C212yesmaximal, complemented
14#45093C212yesmaximal, complemented
15#42967C212yesmaximal, complemented
16#42927C212yesmaximal, complemented
17#42674C212yesmaximal, complemented
18#42643C212yesmaximal, complemented
19#39363C211yesmaximal, characteristic, complemented
20#39343C211yesmaximal, characteristic, complemented
21#38957C211yesmaximal, characteristic, complemented
22#38923C211yesmaximal, characteristic, complemented
23#37795C212yesmaximal, complemented
24#37786C212yesmaximal, complemented
25#37733C214yesmaximal, complemented
26#36582C212yesmaximal, complemented
27#36433C212yesmaximal, complemented
28#36410C211yesmaximal, characteristic, complemented
29#36258C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35254C212yesmaximal, complemented
32#35153C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34480C211yesmaximal, characteristic, complemented
36#3546—216no—
37C2×#560C2214yes—
38#3482—216no—
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#556C2211yescharacteristic
42C2×#556C2212yescomplemented
43C2×#553C2212yes—
44C2×#552C2212yescomplemented
45C2×#552C2214yescomplemented
46C2×#550C2211yescharacteristic
47C2×#550C2212yes—
48C2×D4×Q8C2211yescharacteristic, complemented
49C2×#548C2212yes—
50C2×#547C2211yescharacteristic
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×D42C2211yescharacteristic
56C2×#542C2212yes—
57C2×#538C2214yes—
58C2×#537C2212yes—
59C2×#536C2212yescomplemented
60C2×#536C2212yescomplemented
61C2×#535C2212yes—
62C2×#535C2212yes—
63C2×#533C2211yescharacteristic, complemented
64C2×#533C2212yescomplemented
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2214yescomplemented
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic, complemented
72C2×C4×#41C2212yescomplemented
73C22×C4×Q8C2212yescomplemented
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2856C2211yescharacteristic
77#2854C2212yes—
78#2854C2212yescomplemented
79#2854C2214yescomplemented
80#2854C2214yescomplemented
81#2854C2214yescomplemented
82#2813C2214yescomplemented
83#2813C2214yescomplemented
84#2727C2214yescomplemented
85#2725C2214yescomplemented
86#2725C2214yescomplemented
87#2723C2214yescomplemented
88#2722C2214yescomplemented
89#2721C2214yescomplemented
90#2720C2214yescomplemented
91#2715C2214yescomplemented
92#2714C2214yescomplemented
93#2711C2214yescomplemented
94#2711C2214yescomplemented
95#2709C2214yescomplemented
96#2708C2214yescomplemented
97#2707C2214yescomplemented
98#2705C2214yescomplemented
99#2697C2214yescomplemented
100#2697C2214yescomplemented
101#2695C2214yescomplemented
102#2685C2214yes—
103#2685C2214yes—
104#2685C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2678C2214yescomplemented
109#2678C2214yescomplemented
110#2674C2214yescomplemented
111#2674C2214yescomplemented
112#2673C2214yescomplemented
113#2672C2214yescomplemented
114#2672C2214yescomplemented
115#2671C2214yescomplemented
116#2670C2214yescomplemented
117#2661C2214yescomplemented
118#2630C2214yescomplemented
119#2625C2212yescomplemented
120#2624C2214yescomplemented
121#2624C2214yescomplemented
122#2620C2212yes—
123#2620C2212yescomplemented
124#2618C2214yescomplemented
125#2618C2214yescomplemented
126#2616C2212yescomplemented
127#2591C2214yescomplemented
128#2582C2211yescharacteristic, complemented
129#2579C2214yescomplemented
130#2553C2214yescomplemented
131#2551C2212yescomplemented
132#2548C2211yescharacteristic
133#2548C2211yescharacteristic
134#2547C2212yes—
135#2546C2211yescharacteristic, complemented
136#2545C2212yes—
137#2545C2212yescomplemented
138#2542C2211yescharacteristic
139#2542C2212yescomplemented
140#2540C2212yescomplemented
141#2538C2211yescharacteristic
142#2519C2214yescomplemented
143#2500C2212yes—
144#2500C2214yescomplemented
145#2491C2212yes—
146#2491C2214yescomplemented
147#2490C2212yescomplemented
148#2490C2212yescomplemented
149#2489C2212yescomplemented
150#2485C2212yescomplemented
151#2485C2214yescomplemented
152#2480C2214yescomplemented
153#2479C2214yescomplemented
154#2478C2212yescomplemented
155#2476C2214yescomplemented
156#2476C2212yescomplemented
157#2474C2214yescomplemented
158#2474C2212yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2470C2214yescomplemented
162#2470C2212yescomplemented
163#2469C2214yescomplemented
164#2469C2214yescomplemented
165#2466C2212yescomplemented
166#2464C2214yescomplemented
167#2460C2214yescomplemented
168#2459C2212yescomplemented
169#2458C2214yescomplemented
170#2458C2214yescomplemented
171#2456C2212yescomplemented
172#2455C2212yescomplemented
173#2454C2212yescomplemented
174#2454C2212yescomplemented
175#2453C2212yescomplemented
176#2453C2211yescharacteristic, complemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2451C2211yescharacteristic, complemented
180#2448C2212yes—
181#2448C2212yes—
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2447C2211yescharacteristic
185#2446C2212yescomplemented
186#2445C2211yescharacteristic
187#2445C2212yes—
188#2445C2214yescomplemented
189#2445C2212yescomplemented
190#2445C2214yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2211yescharacteristic, complemented
195#2439C2211yescharacteristic, complemented
196#2437C2214yescomplemented
197#2436C2212yescomplemented
198#2435C2212yes—
199#2435C2212yes—
200#2435C2212yes—
201#2432C2211yescharacteristic
202#2432C2212yescomplemented
203#2432C2212yescomplemented
204#2431C2211yescharacteristic
205#2431C2212yescomplemented
206#2429C2212yescomplemented
207#2429C2212yescomplemented
208#2429C2211yescharacteristic, complemented
209#2429C2214yescomplemented
210#2429C2214yescomplemented
211#2429C2212yescomplemented
212#2427C2212yes—
213#2427C2212yescomplemented
214#2426C2212yes—
215#2426C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2426C2211yescharacteristic
219#2426C2212yescomplemented
220#2426C2212yescomplemented
221#2426C2212yescomplemented
222#2426C2214yescomplemented
223#2426C2214yescomplemented
224#2424C2214yes—
225#2423C2212yescomplemented
226#2422C2211yescharacteristic
227#2422C2214yescomplemented
228#2422C2212yescomplemented
229#2420C2211yescharacteristic, complemented
230#2420C2214yescomplemented
231#2418C2214yescomplemented
232#2418C2214yescomplemented
233#2418C2214yescomplemented
234#2418C2214yescomplemented
235#2417C2212yescomplemented
236#2416C2212yes—
237#2415C2212yescomplemented
238#2415C2211yescharacteristic, complemented
239#2415C2212yescomplemented
240#2414C2211yescharacteristic
241#2414C2212yes—
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2411C2214yes—
245#2411C2214yescomplemented
246#2409C2212yescomplemented
247#2408C2212yes—
248#2407C2211yescharacteristic
249#2407C2212yescomplemented
250#2407C2212yescomplemented
251#2407C2211yescharacteristic, complemented
252#2395C2212yescomplemented
253#2392C2212yescomplemented
254#2392C2212yescomplemented
255#2388C2212yescomplemented
256#2376C2214yescomplemented
257#2367C2212yescomplemented
258#2367C2212yescomplemented
259#2367C2212yescomplemented
260#2365C2211yescharacteristic, complemented
261#2363C2212yes—
262#2363C2212yescomplemented
263#2363C2212yescomplemented
264#2362C2212yescomplemented
265#2362C2212yescomplemented
266#2360C2212yescomplemented
267#2354C2211yescharacteristic, complemented
268#2351C2212yescomplemented
269Q8×C4⋊C4C2212yescomplemented
270D4×C4⋊C4C2211yescharacteristic
271#2345C2212yescomplemented
272#2342C2214yescomplemented
273#2341C2212yescomplemented
274#2341C2212yescomplemented
275#2341C2212yescomplemented
276D4×C22⋊C4C2212yes—
277#2335C2214yescomplemented
278#2324C2212yes—
279#2323C2212yescomplemented
280#2316C2212yescomplemented
281#2316C2212yescomplemented
282#2311C2212yescomplemented
283#2309C2212yes—
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#123C2214yescomplemented
291C4×#123C2212yescomplemented
292C4×#123C2212yescomplemented
293C4×#121C2211yescharacteristic
294#2297C2212yescomplemented
295#2297C2212yescomplemented
296#2296C2212yescomplemented
297#2293C2211yescharacteristic
298#2293C2211yescharacteristic, complemented
299C2×#390C2212yes—
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310#560—232no—
311#557—28no—
312#556—28no—
313#556—216no—
314#556—28no—
315#553—216no—
316#552—232no—
317#552—216no—
318#550—216no—
319#550—28no—
320D4×Q8—28no—
321#548—216no—
322#547—216no—
323#547D4116yescomplemented
324#546—216no—
325#546—216no—
326#546—48no—
327D42—28no—
328#542—216no—
329#538—232no—
330#537—216no—
331#536—48no—
332#536—48no—
333#535—216no—
334#535—216no—
335#533—28no—
336#533—216no—
337#532—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×#127C2311yescharacteristic
348C2×#127C2314yes—
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351#529—232no—
352#529—216no—
353#529—28no—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2314yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#124C2312yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C4×#41—216no—
439C4×#41—28no—
440C4×#41—28no—
441C2×C4×Q8—216no—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2314yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2314yes—
498C22×C22⋊C4C2314yes—
499C22×C42C2312yes—
500C22×C42C2314yes—
501C22×C42C2312yes—
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504#400C2312yes—
505#400C2314yes—
506#400C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2312yes—
512#399C2314yes—
513#399C2314yes—
514#398C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2312yes—
522#398C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2312yes—
531#397C2312yes—
532#397C2312yes—
533#397C2312yes—
534#397C2312yes—
535#397C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2312yes—
548#396C2312yes—
549#396C2312yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#395C2314yes—
554#395C2312yes—
555#395C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2314yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#393C2312yes—
594#393C2314yes—
595#393C2314yes—
596#393C2314yes—
597#392C2314yes—
598#392C2312yes—
599#392C2312yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#391C2312yes—
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2312yes—
619#391C2312yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2312yes—
636#390C2314yes—
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2311yescharacteristic
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2312yes—
665#389C2314yes—
666#389C2314yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2311yescharacteristic
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2311yescharacteristic
687#389C2312yes—
688#389C2312yes—
689#389C2311yescharacteristic
690#389C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2312yes—
721#388C2312yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2314yes—
727#388C2312yes—
728#388C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2312yes—
736#387C2312yes—
737#387C2312yes—
738#387C2314yes—
739#387C2312yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2314yes—
762#386C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2312yes—
780#385C2312yes—
781#384C2311yescharacteristic
782#384C2311yescharacteristic
783#384C2312yes—
784#384C2314yes—
785#382C2311yescharacteristic
786#382C2314yes—
787#381C2312yes—
788#381C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#380C2311yescharacteristic
806#379C2314yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810#379C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C43C2311yescharacteristic
848C25C2414yes—
849C2×#41—28no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41C2×D4116yes—
867C22×Q8—28no—
868C22×Q8—28no—
869C22×Q8—44no—
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×D4—28no—
878C22×D4—28no—
879C22×D4—44no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2414yes—
923C4⋊Q8—28no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—28no—
927C4⋊Q8—24no—
928C4⋊Q8—44no—
929C4⋊Q8—48no—
930C4⋊Q8C2×D418yes—
931#127—24no—
932#127—28no—
933#127—216no—
934#127—24no—
935#126—216no—
936#126—216no—
937#126—216no—
938#126—28no—
939#126—216no—
940#126—216no—
941#125—216no—
942#125—28no—
943#125—24no—
944#125—28no—
945#125—216no—
946#124—28no—
947#124—28no—
948#124—28no—
949#124—24no—
950#124—28no—
951#124—216no—
952#124—28no—
953#124—216no—
954#124—44no—
955#124—44no—
956#124—42no—
957#124—44no—
958#124—48no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—28no—
963#123—216no—
964#123—44no—
965#123—48no—
966#123—44no—
967#123—48no—
968#123—48no—
969#123—48no—
970#123—48no—
971#123—48no—
972#123C2×D4132yes—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—48no—
985C22⋊Q8—48no—
986C22⋊Q8—42no—
987C22⋊Q8—42no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8C2×D4116yes—
992#121—24no—
993#121—216no—
994#121—24no—
995#121—216no—
996#121—216no—
997#121—28no—
998#121—216no—
999#121—216no—
1000#121—28no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—216no—
1006#121—28no—
1007#121—216no—
1008#121—44no—
1009#121—48no—
1010#121—44no—
1011#121—42no—
1012#121—44no—
1013#121C2×D4116yes—
1014#120—216no—
1015#120—216no—
1016#120—216no—
1017#120—216no—
1018#120—48no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—216no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—44no—
1033C4×Q8—44no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—216no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—216no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—44no—
1051C4×D4—42no—
1052C4×D4—42no—
1053C4×D4—44no—
1054C4×D4—42no—
1055C4×D4C2×D418yes—
1056C4×D4C2×D418yes—
1057#117—216no—
1058#117—28no—
1059#117—28no—
1060#117—24no—
1061#117—24no—
1062#117—28no—
1063#117—28no—
1064#117—28no—
1065#117—28no—
1066#117—216no—
1067#117—44no—
1068#117—44no—
1069#117—44no—
1070C2×C4⋊C4—216no—
1071C2×C4⋊C4—44no—
1072C2×C4⋊C4C2×D4116yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C22⋊C4—216no—
1137C2×C22⋊C4—48no—
1138C2×C22⋊C4—48no—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C42—28no—
1215C2×C42—216no—
1216C2×C42—28no—
1217C2×C42—24no—
1218C2×C42—24no—
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2412yes—
1232C2×C42C2411yescharacteristic
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2414yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2414yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2412yes—
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296C24—28no—
1297C24—44no—
1298C24—44no—
1299C24—44no—
1300C24—44no—
1301C24—44no—
1302C24—44no—
1303C24C2512yes—
1304C24C2514yes—
1305C24C2511yescharacteristic
1306C24C2511yescharacteristic
1307C24C2512yes—
1308C24C2512yes—
1309#41—432no—
1310#41—416no—
1311#41—416no—
1312#41—816no—
1313#41—816no—
1314#41—816no—
1315C2×Q8—22no—
1316C2×Q8—28no—
1317C2×Q8—24no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—28no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—44no—
1332C2×Q8—42no—
1333C2×Q8—42no—
1334C2×Q8—432no—
1335C2×Q8C22×D418yes—
1336C2×Q8H(5,𝔽2)14yes—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—28no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—28no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—44no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—44no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—816no—
1401C2×D4—816no—
1402C2×D4C22×D414yes—
1403C2×D4C22×D414yes—
1404C2×D4C22×D4116yes—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—28no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—41no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—41no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4C22×D418yes—
1457C22×C4C22×D418yes—
1458C22×C4C22×D4116yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2514yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2514yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C4⋊C4—24no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—24no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—44no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—41no—
1531C4⋊C4—41no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D418yes—
1548C4⋊C4C22×D4116yes—
1549C4⋊C4C22×D414yes—
1550C4⋊C4C22×D418yes—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—28no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—28no—
1578C22⋊C4—22no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—41no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4C22×D4116yes—
1624C22⋊C4C22×D418yes—
1625C22⋊C4C22×D418yes—
1626C42—24no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—24no—
1631C42—28no—
1632C42—24no—
1633C42—24no—
1634C42—28no—
1635C42—22no—
1636C42—22no—
1637C42—24no—
1638C42—22no—
1639C42—28no—
1640C42—24no—
1641C42—24no—
1642C42—28no—
1643C42—22no—
1644C42—24no—
1645C42—22no—
1646C42—24no—
1647C42—22no—
1648C42—22no—
1649C42—41no—
1650C42—44no—
1651C42—41no—
1652C42—44no—
1653C42—44no—
1654C42C22×D414yes—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—21no—
1668C23—22no—
1669C23—24no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—24no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—24no—
1678C23—21no—
1679C23—21no—
1680C23—22no—
1681C23—24no—
1682C23—24no—
1683C23—22no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—24no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—24no—
1694C23—22no—
1695C23—88no—
1696C23—88no—
1697C23—88no—
1698C23—88no—
1699C23—88no—
1700C23—164no—
1701C23—164no—
1702C23C23×D414yes—
1703C23C23×D414yes—
1704C23C2611yescharacteristic
1705Q8—216no—
1706Q8—28no—
1707Q8—416no—
1708Q8—44no—
1709Q8—48no—
1710Q8—44no—
1711Q8—84no—
1712D4—28no—
1713D4—28no—
1714D4—416no—
1715D4—48no—
1716D4—48no—
1717D4—44no—
1718D4—44no—
1719D4—48no—
1720D4—48no—
1721D4—84no—
1722D4—88no—
1723D4—88no—
1724D4—84no—
1725D4—84no—
1726D4—88no—
1727D4—84no—
1728D4—88no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—164no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—216no—
1747C2×C4—216no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—416no—
1812C2×C4—44no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—416no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—82no—
1824C2×C4—88no—
1825C2×C4—88no—
1826C2×C4—164no—
1827C2×C4C23×D414yes—
1828C2×C4C23×D418yes—
1829C2×C4C23×D412yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C2×H(5,𝔽2)14yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4#58512yes—
1836C2×C4#58512yes—
1837C2×C4#58512yes—
1838C2×C4#58512yes—
1839C22—24no—
1840C22—24no—
1841C22—24no—
1842C22—24no—
1843C22—24no—
1844C22—24no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—41no—
1855C22—44no—
1856C22—42no—
1857C22—41no—
1858C22—41no—
1859C22—44no—
1860C22—42no—
1861C22—41no—
1862C22—41no—
1863C22—44no—
1864C22—42no—
1865C22—41no—
1866C22—44no—
1867C22—41no—
1868C22—42no—
1869C22—41no—
1870C22—41no—
1871C22—42no—
1872C22—44no—
1873C22—41no—
1874C22—42no—
1875C22—41no—
1876C22—44no—
1877C22—41no—
1878C22—41no—
1879C22—44no—
1880C22—42no—
1881C22—1616no—
1882C22C24×D411yescharacteristic
1883C22C22×H(5,𝔽2)11yescharacteristic
1884C22C2×#58511yescharacteristic
1885C22C2×#58511yescharacteristic
1886C22C2×#58511yescharacteristic
1887C22C2×#58511yescharacteristic
1888C222−1+611yescharacteristic
1889C4—22no—
1890C4—22no—
1891C4—24no—
1892C4—28no—
1893C4—24no—
1894C4—24no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—42no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—42no—
1906C4—44no—
1907C4—41no—
1908C4—42no—
1909C4—41no—
1910C4—44no—
1911C4—42no—
1912C4—41no—
1913C4—42no—
1914C4—42no—
1915C4—41no—
1916C4#348514yes—
1917C4#348814yes—
1918C2—44no—
1919C2—44no—
1920C2—81no—
1921C2—81no—
1922C2—84no—
1923C2—82no—
1924C2#6276211yescharacteristic
1925C2C2×#348511yescharacteristic
1926C2C2×#348811yescharacteristic
1927C2#6292211yescharacteristic
1928C2#6296811yescharacteristic
1929C2#6300211yescharacteristic
1930C2#6303511yescharacteristic
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. C2×#3546C2semidirect
2. C2×#3482C2semidirect
3. #59653C2semidirect
4. #59103C2semidirect
5. #59094C2semidirect
6. #59078C2semidirect
7. #59055C2semidirect
8. #48833C2semidirect
9. #48791C2semidirect
10. #45770C2semidirect
11. #45404C2semidirect
12. #45287C2semidirect
13. #45134C2semidirect
14. #45093C2semidirect
15. #42967C2semidirect
16. #42927C2semidirect
17. #42674C2semidirect
18. #42643C2semidirect
19. #39363C2semidirect
20. #39343C2semidirect
21. #38957C2semidirect
22. #38923C2semidirect
23. #37795C2semidirect
24. #37786C2semidirect
25. #37733C2semidirect
26. #36582C2semidirect
27. #36433C2semidirect
28. #36410C2semidirect
29. #36258C2semidirect
30. #36150C2semidirect
31. #35254C2semidirect
32. #35153C2semidirect
33. #34724C2semidirect
34. #34715C2semidirect
35. #34480C2semidirect
39. C2×#557C22semidirect
42. C2×#556C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
48. C2×D4×Q8C22semidirect
51. C2×#547C22semidirect
59. C2×#536C22semidirect
60. C2×#536C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
69. C2×#529C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C22×C4×Q8C22semidirect
75. #2857C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2813C22semidirect
83. #2813C22semidirect
84. #2727C22semidirect
85. #2725C22semidirect
86. #2725C22semidirect
87. #2723C22semidirect
88. #2722C22semidirect
89. #2721C22semidirect
90. #2720C22semidirect
91. #2715C22semidirect
92. #2714C22semidirect
93. #2711C22semidirect
94. #2711C22semidirect
95. #2709C22semidirect
96. #2708C22semidirect
97. #2707C22semidirect
98. #2705C22semidirect
99. #2697C22semidirect
100. #2697C22semidirect
101. #2695C22semidirect
104. #2685C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2678C22semidirect
109. #2678C22semidirect
110. #2674C22semidirect
111. #2674C22semidirect
112. #2673C22semidirect
113. #2672C22semidirect
114. #2672C22semidirect
115. #2671C22semidirect
116. #2670C22semidirect
117. #2661C22semidirect
118. #2630C22semidirect
119. #2625C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
123. #2620C22semidirect
124. #2618C22semidirect
125. #2618C22semidirect
126. #2616C22semidirect
127. #2591C22semidirect
128. #2582C22semidirect
129. #2579C22semidirect
130. #2553C22semidirect
131. #2551C22semidirect
135. #2546C22semidirect
137. #2545C22semidirect
139. #2542C22semidirect
140. #2540C22semidirect
142. #2519C22semidirect
144. #2500C22semidirect
146. #2491C22semidirect
147. #2490C22semidirect
148. #2490C22semidirect
149. #2489C22semidirect
150. #2485C22semidirect
151. #2485C22semidirect
152. #2480C22semidirect
153. #2479C22semidirect
154. #2478C22semidirect
155. #2476C22semidirect
156. #2476C22semidirect
157. #2474C22semidirect
158. #2474C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2470C22semidirect
162. #2470C22semidirect
163. #2469C22semidirect
164. #2469C22semidirect
165. #2466C22semidirect
166. #2464C22semidirect
167. #2460C22semidirect
168. #2459C22semidirect
169. #2458C22semidirect
170. #2458C22semidirect
171. #2456C22semidirect
172. #2455C22semidirect
173. #2454C22semidirect
174. #2454C22semidirect
175. #2453C22semidirect
176. #2453C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2451C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
185. #2446C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2439C22semidirect
196. #2437C22semidirect
197. #2436C22semidirect
202. #2432C22semidirect
203. #2432C22semidirect
205. #2431C22semidirect
206. #2429C22semidirect
207. #2429C22semidirect
208. #2429C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
213. #2427C22semidirect
219. #2426C22semidirect
220. #2426C22semidirect
221. #2426C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
225. #2423C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2420C22semidirect
230. #2420C22semidirect
231. #2418C22semidirect
232. #2418C22semidirect
233. #2418C22semidirect
234. #2418C22semidirect
235. #2417C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
245. #2411C22semidirect
246. #2409C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2395C22semidirect
253. #2392C22semidirect
254. #2392C22semidirect
255. #2388C22semidirect
256. #2376C22semidirect
257. #2367C22semidirect
258. #2367C22semidirect
259. #2367C22semidirect
260. #2365C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2362C22semidirect
265. #2362C22semidirect
266. #2360C22semidirect
267. #2354C22semidirect
268. #2351C22semidirect
269. Q8×C4⋊C4C22semidirect
271. #2345C22semidirect
272. #2342C22semidirect
273. #2341C22semidirect
274. #2341C22semidirect
275. #2341C22semidirect
277. #2335C22semidirect
279. #2323C22semidirect
280. #2316C22semidirect
281. #2316C22semidirect
282. #2311C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
291. C4×#123C22semidirect
292. C4×#123C22semidirect
294. #2297C22semidirect
295. #2297C22semidirect
296. #2296C22semidirect
298. #2293C22semidirect
300. C42×D4C22semidirect
323. #547D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35462
C2×#34822
#596532
#591032
#590942
#590782
#590552
#488332
#487912
#457702
#454042
#452872
#451342
#450932
#429672
#429272
#426742
#426432
#393632
#393432
#389572
#389232
#377952
#377862
#377332
#365822
#364332
#364102
#362582
#361502
#352542
#351532
#347242
#347152
#344802