Finite Group Databasebeta

← #7650757

Subgroups — #7650757

Order 512.

7109 conjugacy classes of subgroups.

The subgroup lattice has 1984 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic, complemented
3#42980C212yesmaximal, complemented
4#42928C212yesmaximal, complemented
5#42803C212yesmaximal, complemented
6#42790C212yesmaximal, complemented
7#42675C212yesmaximal, complemented
8#42477C212yesmaximal, complemented
9#42440C212yesmaximal, complemented
10#42428C212yesmaximal, complemented
11#41373C214yesmaximal, complemented
12#40519C214yesmaximal, complemented
13#39962C212yesmaximal, complemented
14#39959C212yesmaximal, complemented
15#39878C212yesmaximal, complemented
16#39856C212yesmaximal, complemented
17#39614C212yesmaximal, complemented
18#39598C212yesmaximal, complemented
19#38950C212yesmaximal, complemented
20#38908C212yesmaximal, complemented
21#38356C214yesmaximal, complemented
22#37837C214yesmaximal, complemented
23#35668C211yesmaximal, characteristic, complemented
24#35661C211yesmaximal, characteristic, complemented
25#35633C211yesmaximal, characteristic, complemented
26#35633C211yesmaximal, characteristic, complemented
27#35575C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35224C211yesmaximal, characteristic, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34737C211yesmaximal, characteristic, complemented
34C2×#2417C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36#3495—216no—
37#3492—216no—
38C2×#556C2212yescomplemented
39C2×#554C2212yescomplemented
40C2×#554C2212yescomplemented
41C2×#554C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#552C2214yes—
45C2×#552C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#552C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#551C2214yes—
50C2×#547C2212yescomplemented
51C2×#547C2212yescomplemented
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#542C2212yescomplemented
55C2×#541C2212yescomplemented
56C2×#539C2214yes—
57C2×#537C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#533C2212yescomplemented
61C2×#529C2212yescomplemented
62C2×#525C2211yescharacteristic
63C2×#525C2211yescharacteristic
64C2×#525C2214yes—
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C22×C22⋊Q8C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic
69C2×#520C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#519C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×#117C2211yescharacteristic
76C23×C4⋊C4C2211yescharacteristic
77#2857C2212yescomplemented
78#2857C2212yescomplemented
79#2851C2212yescomplemented
80#2850C2212yescomplemented
81#2848C2214yes—
82#2823C2214yescomplemented
83#2822C2214yescomplemented
84#2814C2214yescomplemented
85#2814C2214yescomplemented
86#2726C2214yescomplemented
87#2726C2214yescomplemented
88#2725C2214yescomplemented
89#2722C2214yescomplemented
90#2722C2214yescomplemented
91#2715C2214yescomplemented
92#2707C2214yescomplemented
93#2707C2214yescomplemented
94#2705C2214yes—
95#2704C2214yescomplemented
96#2704C2214yescomplemented
97#2704C2214yescomplemented
98#2704C2214yescomplemented
99#2704C2214yescomplemented
100#2702C2214yes—
101#2702C2214yescomplemented
102#2695C2214yescomplemented
103#2695C2214yescomplemented
104#2695C2214yescomplemented
105#2695C2214yescomplemented
106#2695C2214yescomplemented
107#2693C2214yes—
108#2693C2214yescomplemented
109#2691C2214yescomplemented
110#2691C2214yescomplemented
111#2683C2214yes—
112#2683C2214yescomplemented
113#2681C2214yes—
114#2676C2214yes—
115#2672C2214yes—
116#2672C2214yescomplemented
117#2671C2214yes—
118#2664C2214yescomplemented
119#2664C2214yescomplemented
120#2659C2214yescomplemented
121#2637C2214yescomplemented
122#2636C2214yes—
123#2630C2214yes—
124#2630C2214yescomplemented
125#2629C2212yescomplemented
126#2629C2214yescomplemented
127#2629C2214yescomplemented
128#2628C2212yescomplemented
129#2627C2214yes—
130#2625C2214yescomplemented
131#2621C2212yescomplemented
132#2620C2212yescomplemented
133#2618C2214yescomplemented
134#2616C2214yescomplemented
135#2609C2214yes—
136#2601C2214yes—
137#2601C2214yescomplemented
138#2584C2214yescomplemented
139#2568C2212yescomplemented
140#2567C2212yescomplemented
141#2565C2212yescomplemented
142#2565C2212yescomplemented
143#2564C2214yes—
144#2562C2214yescomplemented
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2212yescomplemented
148#2538C2212yescomplemented
149#2538C2214yescomplemented
150#2538C2212yescomplemented
151#2537C2211yescharacteristic
152#2537C2211yescharacteristic
153#2537C2212yescomplemented
154#2536C2211yescharacteristic
155#2536C2211yescharacteristic
156#2536C2212yescomplemented
157#2536C2212yescomplemented
158#2536C2212yescomplemented
159#2535C2211yescharacteristic
160#2535C2211yescharacteristic
161#2535C2212yescomplemented
162#2534C2214yes—
163#2534C2214yes—
164#2534C2212yes—
165#2534C2212yes—
166#2498C2214yescomplemented
167#2486C2214yes—
168#2486C2214yes—
169#2486C2212yes—
170#2485C2214yescomplemented
171#2454C2212yescomplemented
172#2453C2212yescomplemented
173#2453C2212yescomplemented
174#2453C2212yescomplemented
175#2452C2212yescomplemented
176#2451C2212yescomplemented
177#2451C2212yescomplemented
178#2451C2212yescomplemented
179#2442C2212yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2442C2212yescomplemented
184#2442C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2440C2212yescomplemented
190#2440C2212yescomplemented
191#2440C2212yescomplemented
192#2440C2212yescomplemented
193#2439C2212yescomplemented
194#2439C2212yescomplemented
195#2438C2214yes—
196#2438C2214yes—
197#2438C2214yes—
198#2437C2214yes—
199#2430C2214yes—
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2429C2212yescomplemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2429C2212yescomplemented
207#2429C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2427C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2425C2214yes—
217#2425C2214yes—
218#2425C2214yes—
219#2424C2214yes—
220#2417C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2417C2212yes—
224#2417C2214yes—
225#2417C2212yes—
226#2417C2212yes—
227#2417C2212yes—
228#2417C2212yes—
229#2417C2211yescharacteristic
230#2417C2211yescharacteristic
231#2417C2212yescomplemented
232#2417C2212yescomplemented
233#2417C2212yescomplemented
234#2417C2212yescomplemented
235#2417C2214yescomplemented
236#2417C2212yescomplemented
237#2417C2214yescomplemented
238#2416C2211yescharacteristic
239#2416C2211yescharacteristic
240#2416C2212yescomplemented
241#2415C2211yescharacteristic
242#2415C2211yescharacteristic
243#2415C2212yescomplemented
244#2415C2212yescomplemented
245#2415C2212yescomplemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2414C2211yescharacteristic
249#2414C2211yescharacteristic
250#2414C2212yescomplemented
251#2413C2214yes—
252#2413C2212yes—
253#2412C2212yes—
254#2411C2214yes—
255#2411C2212yes—
256#2410C2212yes—
257#2408C2212yes—
258#2407C2214yes—
259#2392C2212yes—
260#2392C2212yes—
261#2392C2212yes—
262#2392C2212yes—
263C2×#398C2212yes—
264C2×#396C2212yes—
265#2351C2212yescomplemented
266Q8×C4⋊C4C2212yescomplemented
267#2349C2214yes—
268#2349C2212yescomplemented
269D4×C4⋊C4C2214yes—
270D4×C4⋊C4C2212yescomplemented
271#2325C2214yes—
272#2324C2214yes—
273#2323C2214yescomplemented
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2317C2211yescharacteristic
277#2317C2212yescomplemented
278#2316C2211yescharacteristic
279#2316C2211yescharacteristic
280#2316C2212yescomplemented
281#2311C2211yescharacteristic
282#2311C2214yescomplemented
283#2310C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2212yescomplemented
291C2×#391C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#389C2212yescomplemented
294C2×#386C2212yes—
295#2285C2211yescharacteristic
296#2280C2211yescharacteristic
297#2280C2211yescharacteristic
298#2280C2211yescharacteristic
299C2×#380C2211yescharacteristic
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307C24×C4C2311yescharacteristic
308C24×C4C2312yes—
309#556—216no—
310#554—216no—
311#554—216no—
312#554—216no—
313#553—216no—
314#553—216no—
315#552—216no—
316#552—232no—
317#552—216no—
318#552—216no—
319#552—216no—
320#551—232no—
321#547—216no—
322#547—216no—
323#544—28no—
324#544—28no—
325#542—216no—
326#541—216no—
327#539—232no—
328#537—28no—
329#536—28no—
330#536—44no—
331#533—216no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338#529—216no—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#125C2314yes—
346C2×#125C2312yes—
347C2×#125C2314yes—
348C2×#125C2312yes—
349C2×#125C2314yes—
350C2×#125C2314yes—
351C2×#125C2314yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#124C2312yes—
355C2×#124C2314yes—
356C2×#124C2312yes—
357#525—28no—
358#525—28no—
359#525—232no—
360#525—28no—
361#525—44no—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2314yes—
374C2×C22⋊Q8—28no—
375C2×C22⋊Q8—44no—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2314yes—
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2314yes—
426C2×#120C2312yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×#120C2312yes—
430#520—28no—
431#520—44no—
432#520D4116yescomplemented
433#519—28no—
434C4×#41—44no—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×D4—44no—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×#117—28no—
476C2×#117C2311yescharacteristic
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2314yes—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C2×#117C2314yes—
483C2×#117C2314yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2314yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C22×C4⋊C4—28no—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2314yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2311yescharacteristic
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#399C2314yes—
529#399C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2312yes—
535#398C2312yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#398C2314yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2314yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2314yes—
602#395C2314yes—
603#395C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2314yes—
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#393C2314yes—
628#393C2314yes—
629#392C2312yes—
630#392C2314yes—
631#392C2312yes—
632#392C2312yes—
633#392C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2314yes—
642#391C2314yes—
643#391C2314yes—
644#391C2314yes—
645#391C2312yes—
646#391C2311yescharacteristic
647#391C2312yes—
648#391C2311yescharacteristic
649#390C2312yes—
650#390C2312yes—
651#390C2314yes—
652#390C2312yes—
653#390C2314yes—
654#390C2314yes—
655#390C2311yescharacteristic
656#390C2312yes—
657#390C2311yescharacteristic
658#390C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2311yescharacteristic
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2312yes—
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2312yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#384C2311yescharacteristic
773#384C2314yes—
774#384C2312yes—
775#384C2312yes—
776#382C2311yescharacteristic
777#382C2312yes—
778#382C2314yes—
779#382C2311yescharacteristic
780#382C2312yes—
781#382C2312yes—
782#381C2314yes—
783#381C2312yes—
784#381C2312yes—
785#381C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2311yescharacteristic
803#380C2312yes—
804#380C2311yescharacteristic
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2311yescharacteristic
809#380C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2311yescharacteristic
817#380C2311yescharacteristic
818#380C2312yes—
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2312yes—
822#380C2314yes—
823#380C2312yes—
824#380C2311yescharacteristic
825#380C2311yescharacteristic
826#380C2311yescharacteristic
827#380C2311yescharacteristic
828#380C2312yes—
829#379C2312yes—
830#379C2312yes—
831#379C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2411yescharacteristic
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—216no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—48no—
860C2×#41—84no—
861C2×#41C2×D418yes—
862C22×Q8—24no—
863C22×Q8—24no—
864C22×Q8—24no—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2414yes—
870C22×Q8C2414yes—
871C22×D4—24no—
872C22×D4—42no—
873C22×D4—42no—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C23×C4—24no—
892C23×C4—24no—
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4—24no—
897C23×C4—28no—
898C23×C4—44no—
899C23×C4—82no—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2411yescharacteristic
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—44no—
934#126—216no—
935#126—216no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—216no—
940#125—28no—
941#125—216no—
942#125—216no—
943#125—216no—
944#125—28no—
945#125—28no—
946#125—216no—
947#125—216no—
948#125—28no—
949#124—28no—
950#124—216no—
951#124—44no—
952#123—28no—
953#123—28no—
954#123—216no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—28no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—44no—
963#123—48no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—24no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—216no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—24no—
980C22⋊Q8—216no—
981C22⋊Q8—24no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—48no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—42no—
991C22⋊Q8—42no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—84no—
995C22⋊Q8—84no—
996C22⋊Q8—84no—
997#121—24no—
998#121—216no—
999#121—24no—
1000#121—24no—
1001#121—24no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—24no—
1008#121—216no—
1009#121—44no—
1010#121—44no—
1011#121—42no—
1012#121—42no—
1013#121—84no—
1014#120—28no—
1015#120—28no—
1016#120—28no—
1017#120—44no—
1018C4×Q8—28no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—216no—
1024C4×Q8—42no—
1025C4×Q8—42no—
1026C4×Q8—44no—
1027C4×Q8C2×D4116yescomplemented
1028C4×D4—216no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—42no—
1040C4×D4—42no—
1041C4×D4—44no—
1042C4×D4—42no—
1043C4×D4—42no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—42no—
1047C4×D4—42no—
1048C4×D4—42no—
1049C4×D4—42no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—48no—
1055C4×D4C2×D4132yes—
1056C4×D4C2×D4116yescomplemented
1057#117—24no—
1058#117—24no—
1059#117—24no—
1060#117—216no—
1061#117—24no—
1062#117—24no—
1063#117—24no—
1064#117—24no—
1065#117—28no—
1066#117—28no—
1067#117—216no—
1068#117—28no—
1069#117—216no—
1070#117—216no—
1071#117—44no—
1072#117—44no—
1073#117C2×D418yes—
1074#117C2×D4116yescomplemented
1075C2×C4⋊C4—24no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—24no—
1079C2×C4⋊C4—28no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4—28no—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—44no—
1087C2×C4⋊C4—42no—
1088C2×C4⋊C4—44no—
1089C2×C4⋊C4—82no—
1090C2×C4⋊C4—84no—
1091C2×C4⋊C4C2×D418yes—
1092C2×C4⋊C4C2×D4116yescomplemented
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2414yes—
1169C2×C22⋊C4—28no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—42no—
1172C2×C22⋊C4—42no—
1173C2×C22⋊C4—44no—
1174C2×C22⋊C4—82no—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C42—24no—
1243C2×C42—28no—
1244C2×C42—44no—
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2414yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2414yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2414yes—
1263C2×C42C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312C24—22no—
1313C24—22no—
1314C24—22no—
1315C24—22no—
1316C24—22no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24C2511yescharacteristic
1327C24C2512yes—
1328C24C2512yes—
1329C24C2511yescharacteristic
1330C24C2511yescharacteristic
1331C24C2511yescharacteristic
1332C24C2511yescharacteristic
1333#41—232no—
1334#41—416no—
1335#41—832no—
1336C2×Q8—24no—
1337C2×Q8—22no—
1338C2×Q8—24no—
1339C2×Q8—28no—
1340C2×Q8—28no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—24no—
1348C2×Q8—22no—
1349C2×Q8—44no—
1350C2×Q8—44no—
1351C2×Q8—44no—
1352C2×Q8—44no—
1353C2×Q8—416no—
1354C2×Q8C22×D414yes—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—416no—
1404C2×D4C22×D418yes—
1405C2×D4C22×D414yes—
1406C2×D42−1+414yes—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—28no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—28no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—42no—
1463C22×C4—41no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—41no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—416no—
1486C22×C4—416no—
1487C22×C4—816no—
1488C22×C4C22×D418yes—
1489C22×C4C22×D418yes—
1490C22×C4C22×D4116yes—
1491C22×C4C22×D414yes—
1492C22×C4H(5,𝔽2)14yes—
1493C22×C42−1+414yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2514yes—
1503C22×C4C2512yes—
1504C22×C4C2514yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2514yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2514yes—
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—28no—
1534C4⋊C4—22no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—28no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—28no—
1548C4⋊C4—28no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—41no—
1563C4⋊C4—41no—
1564C4⋊C4—41no—
1565C4⋊C4—41no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—42no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—44no—
1593C4⋊C4C22×D418yes—
1594C4⋊C4C22×D418yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D4116yes—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—41no—
1631C22⋊C4—41no—
1632C22⋊C4—41no—
1633C22⋊C4—41no—
1634C22⋊C4—41no—
1635C22⋊C4—41no—
1636C22⋊C4—41no—
1637C22⋊C4—41no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4C22×D418yes—
1664C22⋊C4C22×D4116yes—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—28no—
1669C42—28no—
1670C42—28no—
1671C42—24no—
1672C42—24no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—24no—
1678C42—24no—
1679C42—42no—
1680C42—42no—
1681C42—44no—
1682C42C22×D418yes—
1683C42C22×D4116yes—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—28no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—22no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—21no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—21no—
1721C23—21no—
1722C23—22no—
1723C23—21no—
1724C23—22no—
1725C23—22no—
1726C23—21no—
1727C23—44no—
1728C23—44no—
1729C23—44no—
1730C23—44no—
1731C23—44no—
1732C23—44no—
1733C23—44no—
1734C23—44no—
1735C23—44no—
1736C23—44no—
1737C23—82no—
1738C23—82no—
1739C23—82no—
1740C23C23×D414yes—
1741C23C23×D412yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2×2−1+412yes—
1744C23C2×2−1+412yes—
1745C23C2×2−1+412yes—
1746C23#58512yes—
1747C23C2611yescharacteristic
1748Q8—28no—
1749Q8—48no—
1750Q8—48no—
1751Q8—44no—
1752Q8—88no—
1753Q8—88no—
1754D4—216no—
1755D4—28no—
1756D4—44no—
1757D4—48no—
1758D4—44no—
1759D4—48no—
1760D4—48no—
1761D4—48no—
1762D4—44no—
1763D4—48no—
1764D4—44no—
1765D4—48no—
1766D4—44no—
1767D4—84no—
1768D4—84no—
1769D4—88no—
1770D4—84no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—216no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—24no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—48no—
1846C2×C4—416no—
1847C2×C4—48no—
1848C2×C4—416no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—48no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4—88no—
1866C2×C4—82no—
1867C2×C4—84no—
1868C2×C4—84no—
1869C2×C4—84no—
1870C2×C4—164no—
1871C2×C4#537116yes—
1872C2×C4C23×D414yes—
1873C2×C4C23×D414yes—
1874C2×C4C23×D418yes—
1875C2×C4C23×D414yes—
1876C2×C4C23×D412yes—
1877C2×C4C23×D412yes—
1878C2×C4C2×H(5,𝔽2)12yes—
1879C2×C4C2×H(5,𝔽2)12yes—
1880C2×C4C2×2−1+412yes—
1881C2×C4C2×2−1+412yes—
1882C2×C4C2×2−1+412yes—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—24no—
1891C22—22no—
1892C22—22no—
1893C22—24no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—24no—
1899C22—22no—
1900C22—22no—
1901C22—416no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—42no—
1917C22—41no—
1918C22—42no—
1919C22—41no—
1920C22—42no—
1921C22—41no—
1922C22—41no—
1923C22—42no—
1924C22—41no—
1925C22—42no—
1926C22—42no—
1927C22—41no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—88no—
1933C22C2×#53714yes—
1934C22C24×D411yescharacteristic
1935C22C22×H(5,𝔽2)11yescharacteristic
1936C22C22×2−1+411yescharacteristic
1937C22C22×2−1+411yescharacteristic
1938C22C2×#58511yescharacteristic
1939C22H(7,𝔽2)11yescharacteristic
1940C222−1+611yescharacteristic
1941C4—28no—
1942C4—24no—
1943C4—24no—
1944C4—22no—
1945C4—24no—
1946C4—44no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—42no—
1956C4—41no—
1957C4—42no—
1958C4—41no—
1959C4—44no—
1960C4—42no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—42no—
1966C4—44no—
1967C4C2×#53714yes—
1968C4C2×#53714yes—
1969C2—24no—
1970C2—44no—
1971C2—42no—
1972C2—42no—
1973C2—42no—
1974C2—82no—
1975C2—81no—
1976C2C22×#53711yescharacteristic
1977C2#6281911yescharacteristic
1978C2#6287511yescharacteristic
1979C2#6292811yescharacteristic
1980C2#6294511yescharacteristic
1981C2#6298711yescharacteristic
1982C2D4×2−1+411yescharacteristic
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×#3495C2semidirect
2. C2×#3492C2semidirect
3. #42980C2semidirect
4. #42928C2semidirect
5. #42803C2semidirect
6. #42790C2semidirect
7. #42675C2semidirect
8. #42477C2semidirect
9. #42440C2semidirect
10. #42428C2semidirect
11. #41373C2semidirect
12. #40519C2semidirect
13. #39962C2semidirect
14. #39959C2semidirect
15. #39878C2semidirect
16. #39856C2semidirect
17. #39614C2semidirect
18. #39598C2semidirect
19. #38950C2semidirect
20. #38908C2semidirect
21. #38356C2semidirect
22. #37837C2semidirect
23. #35668C2semidirect
24. #35661C2semidirect
25. #35633C2semidirect
26. #35633C2semidirect
27. #35575C2semidirect
28. #35518C2semidirect
29. #35308C2semidirect
30. #35253C2semidirect
31. #35224C2semidirect
32. #34935C2semidirect
33. #34737C2semidirect
34. C2×#2417C2semidirect
35. #34250C2semidirect
38. C2×#556C22semidirect
39. C2×#554C22semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
54. C2×#542C22semidirect
55. C2×#541C22semidirect
60. C2×#533C22semidirect
61. C2×#529C22semidirect
77. #2857C22semidirect
78. #2857C22semidirect
79. #2851C22semidirect
80. #2850C22semidirect
82. #2823C22semidirect
83. #2822C22semidirect
84. #2814C22semidirect
85. #2814C22semidirect
86. #2726C22semidirect
87. #2726C22semidirect
88. #2725C22semidirect
89. #2722C22semidirect
90. #2722C22semidirect
91. #2715C22semidirect
92. #2707C22semidirect
93. #2707C22semidirect
95. #2704C22semidirect
96. #2704C22semidirect
97. #2704C22semidirect
98. #2704C22semidirect
99. #2704C22semidirect
101. #2702C22semidirect
102. #2695C22semidirect
103. #2695C22semidirect
104. #2695C22semidirect
105. #2695C22semidirect
106. #2695C22semidirect
108. #2693C22semidirect
109. #2691C22semidirect
110. #2691C22semidirect
112. #2683C22semidirect
116. #2672C22semidirect
118. #2664C22semidirect
119. #2664C22semidirect
120. #2659C22semidirect
121. #2637C22semidirect
124. #2630C22semidirect
125. #2629C22semidirect
126. #2629C22semidirect
127. #2629C22semidirect
128. #2628C22semidirect
130. #2625C22semidirect
131. #2621C22semidirect
132. #2620C22semidirect
133. #2618C22semidirect
134. #2616C22semidirect
137. #2601C22semidirect
138. #2584C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2565C22semidirect
142. #2565C22semidirect
144. #2562C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
153. #2537C22semidirect
156. #2536C22semidirect
157. #2536C22semidirect
158. #2536C22semidirect
161. #2535C22semidirect
166. #2498C22semidirect
170. #2485C22semidirect
171. #2454C22semidirect
172. #2453C22semidirect
173. #2453C22semidirect
174. #2453C22semidirect
175. #2452C22semidirect
176. #2451C22semidirect
177. #2451C22semidirect
178. #2451C22semidirect
179. #2442C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2442C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
189. #2440C22semidirect
190. #2440C22semidirect
191. #2440C22semidirect
192. #2440C22semidirect
193. #2439C22semidirect
194. #2439C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
206. #2429C22semidirect
207. #2429C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
231. #2417C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
240. #2416C22semidirect
243. #2415C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
250. #2414C22semidirect
265. #2351C22semidirect
266. Q8×C4⋊C4C22semidirect
268. #2349C22semidirect
270. D4×C4⋊C4C22semidirect
273. #2323C22semidirect
277. #2317C22semidirect
280. #2316C22semidirect
282. #2311C22semidirect
290. #2296C22semidirect
293. C2×#389C22semidirect
432. #520D4semidirect
1027. C4×Q8C2×D4semidirect
1056. C4×D4C2×D4semidirect
1074. #117C2×D4semidirect
1092. C2×C4⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34922
#429802
#429282
#428032
#427902
#426752
#424772
#424402
#424282
#413732
#405192
#399622
#399592
#398782
#398562
#396142
#395982
#389502
#389082
#383562
#378372
#356682
#356612
#356332
#355752
#355182
#353082
#352532
#352242
#349352
#347372
C2×#24172
#342502