Finite Group Databasebeta

← #7650793

Subgroups — #7650793

Order 512.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3506C211yesmaximal, characteristic, complemented
3#42970C212yesmaximal, complemented
4#42952C212yesmaximal, complemented
5#42877C212yesmaximal, complemented
6#42802C212yesmaximal, complemented
7#42674C212yesmaximal, complemented
8#42476C212yesmaximal, complemented
9#42444C212yesmaximal, complemented
10#42425C212yesmaximal, complemented
11#41368C214yesmaximal, complemented
12#40515C214yesmaximal, complemented
13#39962C212yesmaximal, complemented
14#39958C212yesmaximal, complemented
15#39882C212yesmaximal, complemented
16#39857C212yesmaximal, complemented
17#39742C212yesmaximal, complemented
18#39137C212yesmaximal, complemented
19#38950C212yesmaximal, complemented
20#38909C212yesmaximal, complemented
21#38357C214yesmaximal, complemented
22#37836C214yesmaximal, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic, complemented
25#35564C211yesmaximal, characteristic, complemented
26#35533C211yesmaximal, characteristic, complemented
27#35533C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35256C211yesmaximal, characteristic, complemented
31#35168C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34745C211yesmaximal, characteristic, complemented
34C2×#2454C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36#3512—216no—
37#3506—216no—
38C2×#559C2212yes—
39C2×#559C2212yes—
40C2×#556C2212yes—
41C2×#555C2212yes—
42C2×#553C2212yes—
43C2×#553C2212yes—
44C2×#553C2214yes—
45C2×#553C2214yes—
46C2×#553C2212yescomplemented
47C2×#553C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#550C2212yes—
51C2×#547C2212yes—
52C2×#541C2212yescomplemented
53C2×#540C2212yescomplemented
54C2×#538C2214yes—
55C2×#537C2211yescharacteristic
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#535C2211yescharacteristic
59C2×#535C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#535C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C22×#125C2211yescharacteristic
69C2×#525C2214yes—
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2856C2212yes—
78#2856C2212yes—
79#2850C2212yes—
80#2850C2212yes—
81#2847C2214yes—
82#2823C2214yescomplemented
83#2820C2214yescomplemented
84#2813C2214yescomplemented
85#2813C2214yescomplemented
86#2727C2214yescomplemented
87#2727C2214yescomplemented
88#2725C2214yescomplemented
89#2715C2214yescomplemented
90#2707C2214yescomplemented
91#2707C2214yescomplemented
92#2705C2214yescomplemented
93#2705C2214yescomplemented
94#2705C2214yescomplemented
95#2705C2214yescomplemented
96#2705C2214yescomplemented
97#2704C2214yescomplemented
98#2702C2214yescomplemented
99#2702C2214yescomplemented
100#2695C2214yescomplemented
101#2693C2214yescomplemented
102#2693C2214yescomplemented
103#2691C2214yescomplemented
104#2691C2214yescomplemented
105#2682C2214yescomplemented
106#2682C2214yescomplemented
107#2681C2214yescomplemented
108#2676C2214yescomplemented
109#2675C2214yescomplemented
110#2675C2214yescomplemented
111#2672C2214yescomplemented
112#2672C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2671C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2664C2214yescomplemented
119#2662C2214yescomplemented
120#2656C2214yescomplemented
121#2636C2214yescomplemented
122#2636C2214yescomplemented
123#2630C2214yescomplemented
124#2630C2214yescomplemented
125#2629C2214yescomplemented
126#2624C2214yescomplemented
127#2620C2212yes—
128#2620C2212yes—
129#2620C2214yescomplemented
130#2619C2212yes—
131#2619C2212yes—
132#2618C2214yescomplemented
133#2617C2214yes—
134#2615C2214yescomplemented
135#2609C2214yescomplemented
136#2601C2214yescomplemented
137#2601C2214yescomplemented
138#2582C2212yescomplemented
139#2581C2212yescomplemented
140#2580C2212yescomplemented
141#2579C2214yes—
142#2562C2214yescomplemented
143#2548C2212yes—
144#2548C2212yes—
145#2548C2211yescharacteristic, complemented
146#2547C2211yescharacteristic, complemented
147#2546C2211yescharacteristic, complemented
148#2545C2212yes—
149#2545C2212yes—
150#2545C2211yescharacteristic, complemented
151#2545C2211yescharacteristic, complemented
152#2544C2212yes—
153#2544C2212yes—
154#2544C2211yescharacteristic, complemented
155#2544C2211yescharacteristic, complemented
156#2543C2212yes—
157#2543C2212yes—
158#2543C2214yes—
159#2543C2214yes—
160#2541C2212yes—
161#2541C2212yes—
162#2541C2211yescharacteristic, complemented
163#2540C2214yescomplemented
164#2538C2212yescomplemented
165#2537C2214yescomplemented
166#2498C2214yescomplemented
167#2487C2214yes—
168#2485C2214yescomplemented
169#2454C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2454C2212yes—
175#2454C2212yes—
176#2454C2212yes—
177#2454C2212yescomplemented
178#2454C2212yescomplemented
179#2454C2211yescharacteristic, complemented
180#2454C2211yescharacteristic, complemented
181#2453C2211yescharacteristic, complemented
182#2453C2212yescomplemented
183#2453C2212yescomplemented
184#2453C2211yescharacteristic, complemented
185#2452C2211yescharacteristic, complemented
186#2452C2211yescharacteristic, complemented
187#2451C2211yescharacteristic, complemented
188#2451C2211yescharacteristic, complemented
189#2450C2212yes—
190#2450C2212yes—
191#2450C2214yes—
192#2449C2214yes—
193#2449C2212yes—
194#2449C2212yes—
195#2442C2212yescomplemented
196#2442C2212yescomplemented
197#2442C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2212yescomplemented
200#2441C2212yescomplemented
201#2440C2212yescomplemented
202#2439C2212yescomplemented
203#2430C2214yescomplemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2428C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2428C2212yes—
210#2428C2212yes—
211#2428C2212yes—
212#2428C2212yes—
213#2428C2212yes—
214#2428C2212yescomplemented
215#2428C2212yescomplemented
216#2427C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yescomplemented
221#2427C2212yescomplemented
222#2426C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2426C2212yescomplemented
227#2426C2212yescomplemented
228#2424C2214yes—
229#2424C2214yes—
230#2424C2214yes—
231#2424C2214yes—
232#2424C2214yes—
233#2424C2214yes—
234#2424C2214yes—
235#2424C2214yes—
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2214yes—
242#2416C2214yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2214yescomplemented
247#2416C2212yescomplemented
248#2416C2214yescomplemented
249#2416C2212yescomplemented
250#2415C2212yescomplemented
251#2415C2212yescomplemented
252#2414C2212yes—
253#2414C2212yes—
254#2414C2212yes—
255#2414C2212yes—
256#2414C2212yescomplemented
257#2414C2212yescomplemented
258#2407C2214yescomplemented
259#2396C2212yescomplemented
260#2396C2212yescomplemented
261C2×#399C2212yes—
262#2392C2212yescomplemented
263#2392C2212yescomplemented
264C2×#396C2212yes—
265#2351C2212yescomplemented
266Q8×C4⋊C4C2212yescomplemented
267#2349C2214yes—
268#2349C2212yescomplemented
269D4×C4⋊C4C2214yes—
270D4×C4⋊C4C2212yescomplemented
271#2325C2214yescomplemented
272#2324C2214yescomplemented
273#2324C2214yescomplemented
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2317C2212yescomplemented
277#2316C2211yescharacteristic
278#2316C2212yescomplemented
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2214yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291#2296C2211yescharacteristic
292#2296C2212yescomplemented
293C2×#390C2211yescharacteristic
294C2×#390C2211yescharacteristic
295C2×#389C2211yescharacteristic
296C2×#389C2211yescharacteristic
297C2×#389C2212yescomplemented
298C2×#385C2212yes—
299C2×#380C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#559—216no—
309#559—216no—
310#556—216no—
311#555—216no—
312#553—232no—
313#553—232no—
314#553—216no—
315#553—216no—
316#553—216no—
317#553—216no—
318#552—216no—
319#552—216no—
320#550—216no—
321#547—216no—
322#541—216no—
323#540—216no—
324#538—232no—
325#537—28no—
326#537—28no—
327#537—44no—
328#535—28no—
329#535—28no—
330#535—44no—
331#535—44no—
332#533—28no—
333#532—28no—
334#532—28no—
335#532—44no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×#127C2312yes—
342C2×#127C2311yescharacteristic
343C2×#127C2311yescharacteristic
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348#529—216no—
349#529—216no—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125—28no—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2314yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377#525—232no—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2314yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444#520—28no—
445#520—28no—
446#520—44no—
447#520D4116yescomplemented
448C4×#41—28no—
449C4×#41—44no—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×D4—28no—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2314yes—
494C2×#117C2311yescharacteristic
495C2×#117C2314yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C42C2312yes—
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526C22×C42C2311yescharacteristic
527C22×C42C2312yes—
528#400C2312yes—
529#400C2314yes—
530#400C2314yes—
531#400C2312yes—
532#400C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2312yes—
539#399C2314yes—
540#399C2314yes—
541#399C2312yes—
542#398C2312yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2314yes—
559#397C2312yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2312yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2312yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#395C2312yes—
589#395C2314yes—
590#395C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2312yes—
610#394C2314yes—
611#394C2314yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2314yes—
623#393C2314yes—
624#393C2312yes—
625#393C2312yes—
626#392C2312yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2312yes—
638#392C2314yes—
639#392C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2314yes—
644#391C2311yescharacteristic
645#391C2311yescharacteristic
646#391C2311yescharacteristic
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#391C2311yescharacteristic
650#391C2312yes—
651#391C2311yescharacteristic
652#391C2311yescharacteristic
653#390C2312yes—
654#390C2312yes—
655#390C2314yes—
656#390C2314yes—
657#390C2312yes—
658#390C2314yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2311yescharacteristic
664#390C2312yes—
665#390C2312yes—
666#390C2311yescharacteristic
667#390C2311yescharacteristic
668#390C2314yes—
669#390C2311yescharacteristic
670#390C2311yescharacteristic
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#390C2312yes—
676#390C2312yes—
677#390C2311yescharacteristic
678#390C2312yes—
679#390C2311yescharacteristic
680#390C2312yes—
681#390C2312yes—
682#390C2311yescharacteristic
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2311yescharacteristic
696#389C2312yes—
697#389C2314yes—
698#389C2312yes—
699#389C2312yes—
700#389C2314yes—
701#389C2312yes—
702#389C2314yes—
703#389C2314yes—
704#389C2312yes—
705#389C2314yes—
706#389C2312yes—
707#389C2312yes—
708#389C2314yes—
709#389C2314yes—
710#389C2312yes—
711#389C2311yescharacteristic
712#389C2311yescharacteristic
713#389C2311yescharacteristic
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2312yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#387C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2314yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2314yes—
787#385C2312yes—
788#385C2314yes—
789#385C2312yes—
790#385C2314yes—
791#385C2314yes—
792#385C2312yes—
793#385C2314yes—
794#385C2312yes—
795#385C2312yes—
796#384C2314yes—
797#384C2312yes—
798#384C2312yes—
799#382C2314yes—
800#382C2312yes—
801#382C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2312yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
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×#95C2314yes—
847C2×#95C2312yes—
848C2×#95C2311yescharacteristic
849C2×#95C2311yescharacteristic
850C2×#95C2312yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—216no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—48no—
865C2×#41—84no—
866C2×#41C2×D418yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2412yes—
873C22×D4—24no—
874C22×D4—24no—
875C22×D4—24no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C23×C4—28no—
904C23×C4—44no—
905C23×C4—82no—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—42no—
935#127—24no—
936#127—24no—
937#127—28no—
938#127—28no—
939#127—42no—
940#127—44no—
941#127—44no—
942#126—216no—
943#126—216no—
944#126—216no—
945#126—216no—
946#126—216no—
947#126—216no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—24no—
953#125—24no—
954#125—216no—
955#125—216no—
956#124—24no—
957#124—24no—
958#124—28no—
959#124—24no—
960#124—24no—
961#124—216no—
962#124—28no—
963#124—216no—
964#124—42no—
965#124—42no—
966#124—44no—
967#124—44no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—216no—
974#123—216no—
975#123—216no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—216no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—44no—
984C22⋊Q8—44no—
985C22⋊Q8—44no—
986C22⋊Q8—44no—
987C22⋊Q8—84no—
988#121—28no—
989#121—28no—
990#121—28no—
991#121—28no—
992#121—28no—
993#121—216no—
994#121—28no—
995#121—28no—
996#121—216no—
997#121—28no—
998#121—216no—
999#121—216no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—216no—
1006#121—216no—
1007#121—48no—
1008#121—48no—
1009#121—48no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—48no—
1021#121—84no—
1022#121—84no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#121—84no—
1027#121—84no—
1028#121—84no—
1029#121—84no—
1030#120—216no—
1031#120—216no—
1032#120—48no—
1033#120—48no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×Q8—42no—
1041C4×Q8—42no—
1042C4×Q8—44no—
1043C4×Q8C2×D4116yes—
1044C4×D4—216no—
1045C4×D4—216no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—28no—
1062C4×D4—216no—
1063C4×D4—216no—
1064C4×D4—42no—
1065C4×D4—42no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—44no—
1069C4×D4—44no—
1070C4×D4—44no—
1071C4×D4—48no—
1072C4×D4C2×D4132yes—
1073C4×D4C2×D4116yes—
1074#117—24no—
1075#117—216no—
1076#117—24no—
1077#117—24no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—216no—
1082#117—216no—
1083#117—44no—
1084#117—44no—
1085#117C2×D418yes—
1086#117C2×D4116yes—
1087C2×C4⋊C4—24no—
1088C2×C4⋊C4—28no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—24no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—42no—
1094C2×C4⋊C4—42no—
1095C2×C4⋊C4—44no—
1096C2×C4⋊C4—82no—
1097C2×C4⋊C4—84no—
1098C2×C4⋊C4—82no—
1099C2×C4⋊C4C2×D418yes—
1100C2×C4⋊C4C2×D4116yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—44no—
1170C2×C22⋊C4—82no—
1171C2×C22⋊C4—82no—
1172C2×C22⋊C4—82no—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C42—24no—
1242C2×C42—24no—
1243C2×C42—24no—
1244C2×C42—28no—
1245C2×C42—44no—
1246C2×C42C2414yes—
1247C2×C42C2414yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264C2×C42C2411yescharacteristic
1265C2×C42C2414yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2414yes—
1269C2×C42C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24—24no—
1317C24—24no—
1318C24—24no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—42no—
1323C24C2514yes—
1324C24C2512yes—
1325C24C2512yes—
1326C24C2512yes—
1327C24C2512yes—
1328C24C2511yescharacteristic
1329#41—232no—
1330#41—416no—
1331#41—416no—
1332#41—416no—
1333#41—832no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×Q8C22×D414yes—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
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—28no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—28no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—416no—
1432C2×D4C22×D418yes—
1433C2×D4C22×D414yes—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—28no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—28no—
1460C22×C4—28no—
1461C22×C4—28no—
1462C22×C4—24no—
1463C22×C4—41no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—42no—
1467C22×C4—41no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—816no—
1501C22×C4C22×D418yes—
1502C22×C4C22×D418yes—
1503C22×C4C22×D4116yes—
1504C22×C4C22×D414yes—
1505C22×C4H(5,𝔽2)14yes—
1506C22×C42−1+414yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2512yes—
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2514yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C22×C4C2514yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2514yes—
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—28no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—41no—
1572C4⋊C4—41no—
1573C4⋊C4—41no—
1574C4⋊C4—41no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—42no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—42no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—42no—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D418yes—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D418yes—
1602C4⋊C4C22×D4116yes—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4C22×D418yes—
1670C22⋊C4C22×D4116yes—
1671C42—22no—
1672C42—24no—
1673C42—24no—
1674C42—22no—
1675C42—22no—
1676C42—22no—
1677C42—22no—
1678C42—22no—
1679C42—22no—
1680C42—22no—
1681C42—28no—
1682C42—28no—
1683C42—24no—
1684C42—22no—
1685C42—22no—
1686C42—22no—
1687C42—22no—
1688C42—24no—
1689C42—24no—
1690C42—42no—
1691C42—42no—
1692C42—44no—
1693C42C22×D418yes—
1694C42C22×D4116yes—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—24no—
1717C23—22no—
1718C23—22no—
1719C23—24no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—24no—
1725C23—24no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—24no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—48no—
1734C23—48no—
1735C23—48no—
1736C23—84no—
1737C23—84no—
1738C23—84no—
1739C23—84no—
1740C23C23×D414yes—
1741C23C23×D412yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2×2−1+412yes—
1744C23C2611yescharacteristic
1745Q8—28no—
1746Q8—48no—
1747Q8—44no—
1748Q8—44no—
1749Q8—44no—
1750Q8—84no—
1751D4—216no—
1752D4—28no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—48no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—88no—
1763D4—88no—
1764D4—84no—
1765D4—88no—
1766D4—84no—
1767D4—88no—
1768D4—84no—
1769D4—84no—
1770D4—88no—
1771D4—88no—
1772D4—84no—
1773D4—164no—
1774D4—164no—
1775D4—164no—
1776D4—164no—
1777D4—164no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—216no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—24no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—48no—
1855C2×C4—416no—
1856C2×C4—416no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4—84no—
1866C2×C4—88no—
1867C2×C4—88no—
1868C2×C4—82no—
1869C2×C4—82no—
1870C2×C4—84no—
1871C2×C4—82no—
1872C2×C4—82no—
1873C2×C4—84no—
1874C2×C4—84no—
1875C2×C4—164no—
1876C2×C4#537116yes—
1877C2×C4C23×D414yes—
1878C2×C4C23×D414yes—
1879C2×C4C23×D418yes—
1880C2×C4C23×D414yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D412yes—
1883C2×C4C2×H(5,𝔽2)12yes—
1884C2×C4C2×H(5,𝔽2)12yes—
1885C2×C4C2×2−1+412yes—
1886C2×C4C2×2−1+412yes—
1887C2×C4#58512yes—
1888C2×C4#58512yes—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—24no—
1896C22—24no—
1897C22—24no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—44no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—44no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—44no—
1925C22—44no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—44no—
1930C22—816no—
1931C22C2×#53714yes—
1932C22C24×D411yescharacteristic
1933C22C22×H(5,𝔽2)11yescharacteristic
1934C22C22×2−1+411yescharacteristic
1935C22C2×#58511yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22H(7,𝔽2)11yescharacteristic
1938C22H(7,𝔽2)11yescharacteristic
1939C4—22no—
1940C4—28no—
1941C4—24no—
1942C4—24no—
1943C4—22no—
1944C4—24no—
1945C4—41no—
1946C4—41no—
1947C4—42no—
1948C4—41no—
1949C4—41no—
1950C4—44no—
1951C4—41no—
1952C4—41no—
1953C4—41no—
1954C4—42no—
1955C4—41no—
1956C4—42no—
1957C4—42no—
1958C4—41no—
1959C4—44no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4C2×#53714yes—
1967C4C2×#53714yes—
1968C2—24no—
1969C2—44no—
1970C2—82no—
1971C2—82no—
1972C2—82no—
1973C2—84no—
1974C2C22×#53711yescharacteristic
1975C2#6283011yescharacteristic
1976C2#6288011yescharacteristic
1977C2#6292611yescharacteristic
1978C2#6292611yescharacteristic
1979C2#6298711yescharacteristic
1980C2#6300311yescharacteristic
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×#3512C2semidirect
2. C2×#3506C2semidirect
3. #42970C2semidirect
4. #42952C2semidirect
5. #42877C2semidirect
6. #42802C2semidirect
7. #42674C2semidirect
8. #42476C2semidirect
9. #42444C2semidirect
10. #42425C2semidirect
11. #41368C2semidirect
12. #40515C2semidirect
13. #39962C2semidirect
14. #39958C2semidirect
15. #39882C2semidirect
16. #39857C2semidirect
17. #39742C2semidirect
18. #39137C2semidirect
19. #38950C2semidirect
20. #38909C2semidirect
21. #38357C2semidirect
22. #37836C2semidirect
23. #35639C2semidirect
24. #35564C2semidirect
25. #35564C2semidirect
26. #35533C2semidirect
27. #35533C2semidirect
28. #35519C2semidirect
29. #35256C2semidirect
30. #35256C2semidirect
31. #35168C2semidirect
32. #34937C2semidirect
33. #34745C2semidirect
34. C2×#2454C2semidirect
35. #34250C2semidirect
46. C2×#553C22semidirect
47. C2×#553C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
52. C2×#541C22semidirect
53. C2×#540C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
82. #2823C22semidirect
83. #2820C22semidirect
84. #2813C22semidirect
85. #2813C22semidirect
86. #2727C22semidirect
87. #2727C22semidirect
88. #2725C22semidirect
89. #2715C22semidirect
90. #2707C22semidirect
91. #2707C22semidirect
92. #2705C22semidirect
93. #2705C22semidirect
94. #2705C22semidirect
95. #2705C22semidirect
96. #2705C22semidirect
97. #2704C22semidirect
98. #2702C22semidirect
99. #2702C22semidirect
100. #2695C22semidirect
101. #2693C22semidirect
102. #2693C22semidirect
103. #2691C22semidirect
104. #2691C22semidirect
105. #2682C22semidirect
106. #2682C22semidirect
107. #2681C22semidirect
108. #2676C22semidirect
109. #2675C22semidirect
110. #2675C22semidirect
111. #2672C22semidirect
112. #2672C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
115. #2671C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2664C22semidirect
119. #2662C22semidirect
120. #2656C22semidirect
121. #2636C22semidirect
122. #2636C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
125. #2629C22semidirect
126. #2624C22semidirect
129. #2620C22semidirect
132. #2618C22semidirect
134. #2615C22semidirect
135. #2609C22semidirect
136. #2601C22semidirect
137. #2601C22semidirect
138. #2582C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
142. #2562C22semidirect
145. #2548C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
150. #2545C22semidirect
151. #2545C22semidirect
154. #2544C22semidirect
155. #2544C22semidirect
162. #2541C22semidirect
163. #2540C22semidirect
164. #2538C22semidirect
165. #2537C22semidirect
166. #2498C22semidirect
168. #2485C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2453C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
195. #2442C22semidirect
196. #2442C22semidirect
197. #2442C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
201. #2440C22semidirect
202. #2439C22semidirect
203. #2430C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
214. #2428C22semidirect
215. #2428C22semidirect
220. #2427C22semidirect
221. #2427C22semidirect
226. #2426C22semidirect
227. #2426C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
250. #2415C22semidirect
251. #2415C22semidirect
256. #2414C22semidirect
257. #2414C22semidirect
258. #2407C22semidirect
259. #2396C22semidirect
260. #2396C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
265. #2351C22semidirect
266. Q8×C4⋊C4C22semidirect
268. #2349C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2325C22semidirect
272. #2324C22semidirect
273. #2324C22semidirect
276. #2317C22semidirect
278. #2316C22semidirect
281. #2311C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
292. #2296C22semidirect
297. C2×#389C22semidirect
447. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#35062
#429702
#429522
#428772
#428022
#426742
#424762
#424442
#424252
#413682
#405152
#399622
#399582
#398822
#398572
#397422
#391372
#389502
#389092
#383572
#378362
#356392
#355642
#355332
#355192
#352562
#351682
#349372
#347452
C2×#24542
#342502