Finite Group Databasebeta

← #7652163

Subgroups — #7652163

Order 512.

6805 conjugacy classes of subgroups.

The subgroup lattice has 1891 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3495C211yesmaximal, characteristic, complemented
3#42878C212yesmaximal, complemented
4#42803C212yesmaximal, complemented
5#42803C212yesmaximal, complemented
6#42802C212yesmaximal, complemented
7#42799C212yesmaximal, complemented
8#42795C212yesmaximal, complemented
9#42791C212yesmaximal, complemented
10#42790C212yesmaximal, complemented
11#42167C214yesmaximal, complemented
12#41984C214yesmaximal, complemented
13#39882C212yesmaximal, complemented
14#39879C212yesmaximal, complemented
15#39878C212yesmaximal, complemented
16#39878C212yesmaximal, complemented
17#39727C212yesmaximal, complemented
18#39599C212yesmaximal, complemented
19#39598C212yesmaximal, complemented
20#39127C212yesmaximal, complemented
21#38429C214yesmaximal, complemented
22#38427C214yesmaximal, complemented
23#35668C211yesmaximal, characteristic, complemented
24#35667C211yesmaximal, characteristic, complemented
25#35661C211yesmaximal, characteristic, complemented
26#35661C211yesmaximal, characteristic, complemented
27#35621C211yesmaximal, characteristic, complemented
28#35519C211yesmaximal, characteristic, complemented
29#35306C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic
33#34739C211yesmaximal, characteristic, complemented
34C2×#2429C211yesmaximal, characteristic, complemented
35#34249C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3495—216no—
38C2×#557C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#556C2212yes—
41C2×#556C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#554C2212yes—
44C2×#552C2214yes—
45C2×#552C2214yes—
46C2×#552C2214yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#551C2214yes—
50C2×#544C2211yescharacteristic
51C2×#542C2212yes—
52C2×#541C2212yes—
53C2×#541C2212yescomplemented
54C2×#541C2212yescomplemented
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yescomplemented
62C2×#533C2212yescomplemented
63C2×#532C2211yescharacteristic
64C22×C4⋊Q8C2211yescharacteristic
65C2×#529C2212yes—
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic
69C22×C22⋊Q8C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#519C2211yescharacteristic
72C2×#519C2211yescharacteristic
73C2×#519C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2857C2212yes—
78#2857C2212yescomplemented
79#2854C2214yes—
80#2851C2212yescomplemented
81#2850C2212yes—
82#2823C2214yes—
83#2823C2214yescomplemented
84#2822C2214yescomplemented
85#2820C2214yes—
86#2727C2214yes—
87#2727C2214yescomplemented
88#2726C2214yescomplemented
89#2726C2214yescomplemented
90#2726C2214yescomplemented
91#2726C2214yescomplemented
92#2725C2214yes—
93#2725C2214yes—
94#2725C2214yescomplemented
95#2725C2214yescomplemented
96#2725C2214yescomplemented
97#2725C2214yescomplemented
98#2707C2214yes—
99#2707C2214yes—
100#2707C2214yes—
101#2707C2214yes—
102#2705C2214yes—
103#2705C2214yes—
104#2704C2214yes—
105#2704C2214yes—
106#2704C2214yescomplemented
107#2704C2214yescomplemented
108#2704C2214yescomplemented
109#2704C2214yescomplemented
110#2702C2214yes—
111#2702C2214yes—
112#2702C2214yescomplemented
113#2702C2214yescomplemented
114#2683C2214yes—
115#2683C2214yescomplemented
116#2681C2214yes—
117#2681C2214yes—
118#2664C2214yes—
119#2664C2214yescomplemented
120#2664C2214yescomplemented
121#2662C2214yes—
122#2637C2214yes—
123#2637C2214yescomplemented
124#2637C2214yescomplemented
125#2636C2214yes—
126#2629C2214yes—
127#2629C2214yescomplemented
128#2629C2212yescomplemented
129#2629C2214yescomplemented
130#2628C2212yescomplemented
131#2621C2212yes—
132#2620C2214yes—
133#2620C2212yes—
134#2618C2214yes—
135#2609C2214yes—
136#2609C2214yescomplemented
137#2601C2214yes—
138#2601C2214yes—
139#2601C2214yescomplemented
140#2601C2214yescomplemented
141#2592C2214yes—
142#2584C2214yescomplemented
143#2584C2214yescomplemented
144#2582C2214yescomplemented
145#2582C2212yescomplemented
146#2581C2212yescomplemented
147#2580C2212yescomplemented
148#2568C2212yescomplemented
149#2567C2212yescomplemented
150#2565C2212yescomplemented
151#2565C2212yescomplemented
152#2562C2214yes—
153#2548C2212yescomplemented
154#2547C2212yescomplemented
155#2546C2212yescomplemented
156#2546C2212yescomplemented
157#2546C2212yescomplemented
158#2546C2212yescomplemented
159#2545C2212yescomplemented
160#2545C2212yescomplemented
161#2545C2212yescomplemented
162#2545C2212yescomplemented
163#2545C2212yescomplemented
164#2544C2212yescomplemented
165#2538C2214yes—
166#2538C2212yes—
167#2538C2212yes—
168#2538C2212yes—
169#2538C2212yes—
170#2538C2212yescomplemented
171#2538C2212yescomplemented
172#2538C2212yescomplemented
173#2536C2212yes—
174#2536C2212yes—
175#2536C2212yes—
176#2536C2212yes—
177#2536C2212yescomplemented
178#2536C2212yescomplemented
179#2454C2212yescomplemented
180#2453C2212yescomplemented
181#2453C2212yescomplemented
182#2453C2212yescomplemented
183#2452C2212yescomplemented
184#2451C2212yescomplemented
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2450C2214yes—
188#2450C2214yes—
189#2449C2214yes—
190#2449C2214yes—
191#2442C2211yescharacteristic
192#2442C2211yescharacteristic
193#2442C2212yescomplemented
194#2441C2211yescharacteristic
195#2441C2211yescharacteristic
196#2441C2212yescomplemented
197#2440C2211yescharacteristic
198#2440C2211yescharacteristic
199#2440C2212yescomplemented
200#2439C2211yescharacteristic
201#2439C2211yescharacteristic
202#2439C2212yescomplemented
203#2438C2214yes—
204#2438C2212yes—
205#2438C2214yes—
206#2438C2212yes—
207#2437C2212yes—
208#2437C2212yes—
209#2429C2212yes—
210#2429C2211yescharacteristic
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2211yescharacteristic
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2428C2211yescharacteristic
228#2428C2211yescharacteristic
229#2427C2211yescharacteristic
230#2427C2211yescharacteristic
231#2426C2211yescharacteristic
232#2426C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2426C2211yescharacteristic
237#2425C2214yes—
238#2425C2212yes—
239#2425C2214yes—
240#2425C2212yes—
241#2424C2212yes—
242#2424C2212yes—
243#2417C2212yes—
244#2417C2212yes—
245#2417C2212yescomplemented
246#2417C2212yescomplemented
247#2415C2212yes—
248#2415C2212yes—
249#2415C2212yescomplemented
250#2415C2212yescomplemented
251#2413C2214yes—
252#2413C2214yes—
253#2413C2214yes—
254#2413C2214yes—
255#2413C2214yes—
256#2412C2214yes—
257#2411C2214yes—
258#2411C2214yes—
259#2396C2212yes—
260#2396C2212yes—
261#2392C2212yes—
262#2392C2212yes—
263C2×#398C2212yes—
264C2×#396C2212yes—
265#2351C2212yescomplemented
266#2351C2212yescomplemented
267#2351C2212yescomplemented
268#2351C2212yescomplemented
269Q8×C4⋊C4C2212yescomplemented
270Q8×C4⋊C4C2212yescomplemented
271Q8×C4⋊C4C2212yescomplemented
272Q8×C4⋊C4C2212yescomplemented
273#2324C2214yes—
274#2323C2214yes—
275#2323C2214yescomplemented
276#2323C2214yescomplemented
277#2317C2214yes—
278#2317C2211yescharacteristic
279#2317C2211yescharacteristic
280#2317C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2310C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289#2297C2211yescharacteristic
290#2296C2214yes—
291#2296C2211yescharacteristic
292#2296C2211yescharacteristic
293#2296C2211yescharacteristic
294C2×#391C2211yescharacteristic
295C2×#389C2212yes—
296C2×#389C2211yescharacteristic
297C2×#388C2212yes—
298#2285C2211yescharacteristic
299#2280C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C24×C4C2311yescharacteristic
306#557—216no—
307#557—216no—
308#556—216no—
309#556—216no—
310#556—216no—
311#554—216no—
312#552—216no—
313#552—216no—
314#552—232no—
315#552—232no—
316#552—232no—
317#551—232no—
318#544—28no—
319#542—216no—
320#541—216no—
321#541—216no—
322#541—216no—
323#536—28no—
324#536—28no—
325#536—28no—
326#536—44no—
327#533—216no—
328#533—216no—
329#533—216no—
330#533—28no—
331#532—44no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×#127C2311yescharacteristic
347#529—216no—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2314yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376#525—28no—
377#525—44no—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×C22⋊Q8—28no—
387C2×C22⋊Q8—44no—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429#520—28no—
430#519—28no—
431#519—44no—
432#519D4116yescomplemented
433C4×#41—28no—
434C2×C4×Q8—44no—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2314yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×#117—28no—
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2311yescharacteristic
477C2×#117C2314yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2314yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2314yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2312yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2311yescharacteristic
506C22×C22⋊C4C2311yescharacteristic
507C22×C22⋊C4C2312yes—
508C22×C42C2312yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2312yes—
513#400C2314yes—
514#400C2314yes—
515#400C2312yes—
516#400C2314yes—
517#400C2314yes—
518#400C2312yes—
519#399C2312yes—
520#399C2314yes—
521#399C2314yes—
522#399C2312yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2312yes—
543#398C2314yes—
544#398C2314yes—
545#398C2312yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2312yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2312yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2312yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2312yes—
591#396C2314yes—
592#396C2314yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#395C2314yes—
601#395C2312yes—
602#395C2312yes—
603#394C2312yes—
604#394C2314yes—
605#394C2312yes—
606#394C2314yes—
607#394C2312yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2312yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#393C2314yes—
620#393C2312yes—
621#393C2314yes—
622#393C2312yes—
623#392C2312yes—
624#392C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#391C2314yes—
636#391C2314yes—
637#391C2312yes—
638#391C2311yescharacteristic
639#391C2311yescharacteristic
640#391C2312yes—
641#391C2314yes—
642#391C2312yes—
643#391C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2311yescharacteristic
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2312yes—
656#390C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2314yes—
664#389C2312yes—
665#389C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2311yescharacteristic
693#389C2312yes—
694#389C2314yes—
695#389C2311yescharacteristic
696#389C2311yescharacteristic
697#389C2311yescharacteristic
698#389C2311yescharacteristic
699#389C2314yes—
700#389C2311yescharacteristic
701#389C2314yes—
702#389C2311yescharacteristic
703#389C2311yescharacteristic
704#389C2314yes—
705#389C2311yescharacteristic
706#389C2311yescharacteristic
707#389C2314yes—
708#389C2311yescharacteristic
709#389C2312yes—
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2312yes—
739#388C2312yes—
740#388C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2312yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2312yes—
751#387C2312yes—
752#387C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#386C2312yes—
762#386C2312yes—
763#386C2314yes—
764#386C2312yes—
765#386C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#385C2312yes—
782#385C2312yes—
783#384C2311yescharacteristic
784#384C2312yes—
785#384C2311yescharacteristic
786#384C2314yes—
787#384C2314yes—
788#384C2312yes—
789#384C2312yes—
790#382C2314yes—
791#382C2311yescharacteristic
792#382C2312yes—
793#382C2314yes—
794#382C2311yescharacteristic
795#382C2312yes—
796#382C2312yes—
797#381C2314yes—
798#381C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2311yescharacteristic
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#379C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2311yescharacteristic
848C2×#95C2312yes—
849C2×#95C2311yescharacteristic
850C2×#95C2312yes—
851C25C2411yescharacteristic
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C22×Q8—24no—
859C22×Q8—24no—
860C22×Q8—24no—
861C22×Q8—24no—
862C22×Q8—24no—
863C22×Q8C2×D418yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C23×C4—24no—
884C23×C4—24no—
885C23×C4—24no—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2411yescharacteristic
907C4⋊Q8—28no—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—42no—
919C4⋊Q8—44no—
920#127—42no—
921#126—216no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#126—216no—
929#125—28no—
930#125—24no—
931#125—24no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—216no—
939#125—216no—
940#125—216no—
941#125—28no—
942#124—28no—
943#124—28no—
944#124—28no—
945#124—216no—
946#124—42no—
947#124—42no—
948#124—44no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—28no—
954#123—216no—
955#123—44no—
956#123—48no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—24no—
966C22⋊Q8—24no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—216no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—216no—
976C22⋊Q8—28no—
977C22⋊Q8—44no—
978C22⋊Q8—48no—
979C22⋊Q8—48no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988#121—24no—
989#121—24no—
990#121—28no—
991#121—44no—
992#121—42no—
993#121—42no—
994#121—44no—
995#121—44no—
996#120—28no—
997#120—44no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—216no—
1006C4×Q8—216no—
1007C4×Q8—216no—
1008C4×Q8—28no—
1009C4×Q8—28no—
1010C4×Q8—44no—
1011C4×Q8—44no—
1012C4×Q8—44no—
1013C4×Q8—44no—
1014C4×Q8—44no—
1015C4×Q8—44no—
1016C4×Q8—44no—
1017C4×Q8—44no—
1018C4×Q8C2×D4116yes—
1019C4×Q8C2×D4116yes—
1020C4×Q8C2×D4116yes—
1021C4×Q8C2×D4116yes—
1022C4×D4—24no—
1023C4×D4—24no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035#117—24no—
1036#117—24no—
1037#117—24no—
1038#117—24no—
1039#117—24no—
1040#117—24no—
1041#117—28no—
1042#117—28no—
1043#117—216no—
1044#117—28no—
1045#117—28no—
1046#117—216no—
1047#117—216no—
1048#117—216no—
1049#117—216no—
1050#117—48no—
1051#117C2×D418yes—
1052#117C2×D418yes—
1053#117C2×D4132yes—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—24no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—28no—
1062C2×C4⋊C4—44no—
1063C2×C4⋊C4—44no—
1064C2×C4⋊C4—44no—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—24no—
1152C2×C22⋊C4—42no—
1153C2×C22⋊C4—44no—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C42—24no—
1212C2×C42—24no—
1213C2×C42—28no—
1214C2×C42—28no—
1215C2×C42—44no—
1216C2×C42C2412yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297C24—22no—
1298C24—22no—
1299C24—22no—
1300C24—22no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2512yes—
1307C24C2511yescharacteristic
1308C24C2511yescharacteristic
1309#41—416no—
1310#41—416no—
1311C2×Q8—232no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—28no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—42no—
1334C2×Q8—42no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×Q8—416no—
1338C2×Q8C22×D418yes—
1339C2×Q8C22×D418yes—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—28no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—42no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—41no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—41no—
1429C22×C4—416no—
1430C22×C4C22×D418yes—
1431C22×C4C22×D414yes—
1432C22×C4H(5,𝔽2)14yes—
1433C22×C42−1+414yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—28no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—28no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—44no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4C22×D414yes—
1543C4⋊C4C22×D414yes—
1544C4⋊C4C22×D414yes—
1545C4⋊C4C22×D414yes—
1546C4⋊C4C22×D4116yes—
1547C4⋊C4C22×D4116yes—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—28no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—24no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4C22×D418yes—
1603C22⋊C4C22×D418yes—
1604C22⋊C42−1+414yes—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—24no—
1612C42—22no—
1613C42—22no—
1614C42—28no—
1615C42—28no—
1616C42—28no—
1617C42—24no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—24no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C42—44no—
1628C42C22×D418yes—
1629C42C22×D418yes—
1630C42C22×D4116yes—
1631C42C22×D4116yes—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—44no—
1664C23—44no—
1665C23—44no—
1666C23—44no—
1667C23—82no—
1668C23—82no—
1669C23—82no—
1670C23C23×D412yes—
1671C23C2×H(5,𝔽2)12yes—
1672C23C2×2−1+412yes—
1673C23C2×2−1+412yes—
1674C23C2611yescharacteristic
1675Q8—216no—
1676Q8—216no—
1677Q8—48no—
1678Q8—48no—
1679Q8—48no—
1680Q8—48no—
1681Q8—44no—
1682Q8—44no—
1683Q8—88no—
1684D4—48no—
1685D4—48no—
1686D4—48no—
1687D4—44no—
1688D4—44no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—84no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—216no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—48no—
1778C2×C4—44no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—88no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—82no—
1790C2×C4#537116yes—
1791C2×C4C23×D414yes—
1792C2×C4C23×D414yes—
1793C2×C4C23×D414yes—
1794C2×C4C23×D414yes—
1795C2×C4C23×D418yes—
1796C2×C4C23×D412yes—
1797C2×C4C23×D412yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×H(5,𝔽2)12yes—
1800C2×C4C2×2−1+412yes—
1801C2×C4C2×2−1+412yes—
1802C2×C4C2×2−1+412yes—
1803C2×C4C2×2−1+412yes—
1804C2×C4#58512yes—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—42no—
1819C22—42no—
1820C22—41no—
1821C22—42no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—41no—
1839C22—88no—
1840C22C2×#53714yes—
1841C22C24×D411yescharacteristic
1842C22C22×H(5,𝔽2)11yescharacteristic
1843C22C22×2−1+411yescharacteristic
1844C22C22×2−1+411yescharacteristic
1845C22C2×#58511yescharacteristic
1846C222−1+611yescharacteristic
1847C222−1+611yescharacteristic
1848C4—22no—
1849C4—24no—
1850C4—24no—
1851C4—22no—
1852C4—24no—
1853C4—24no—
1854C4—28no—
1855C4—22no—
1856C4—42no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—44no—
1861C4—42no—
1862C4—42no—
1863C4—42no—
1864C4—44no—
1865C4—41no—
1866C4—41no—
1867C4—42no—
1868C4—41no—
1869C4—41no—
1870C4—42no—
1871C4—42no—
1872C4—44no—
1873C4—42no—
1874C4—41no—
1875C4—42no—
1876C4C2×#53714yes—
1877C4C2×#53714yes—
1878C2—24no—
1879C2—42no—
1880C2—82no—
1881C2—82no—
1882C2—81no—
1883C2C22×#53711yescharacteristic
1884C2#6283711yescharacteristic
1885C2#6288911yescharacteristic
1886C2#6292511yescharacteristic
1887C2#6294211yescharacteristic
1888C2D4×2−1+411yescharacteristic
1889C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34743C2
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×#3509C2semidirect
2. C2×#3495C2semidirect
3. #42878C2semidirect
4. #42803C2semidirect
5. #42803C2semidirect
6. #42802C2semidirect
7. #42799C2semidirect
8. #42795C2semidirect
9. #42791C2semidirect
10. #42790C2semidirect
11. #42167C2semidirect
12. #41984C2semidirect
13. #39882C2semidirect
14. #39879C2semidirect
15. #39878C2semidirect
16. #39878C2semidirect
17. #39727C2semidirect
18. #39599C2semidirect
19. #39598C2semidirect
20. #39127C2semidirect
21. #38429C2semidirect
22. #38427C2semidirect
23. #35668C2semidirect
24. #35667C2semidirect
25. #35661C2semidirect
26. #35661C2semidirect
27. #35621C2semidirect
28. #35519C2semidirect
29. #35306C2semidirect
30. #35257C2semidirect
31. #35178C2semidirect
33. #34739C2semidirect
34. C2×#2429C2semidirect
35. #34249C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
53. C2×#541C22semidirect
54. C2×#541C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
78. #2857C22semidirect
80. #2851C22semidirect
83. #2823C22semidirect
84. #2822C22semidirect
87. #2727C22semidirect
88. #2726C22semidirect
89. #2726C22semidirect
90. #2726C22semidirect
91. #2726C22semidirect
94. #2725C22semidirect
95. #2725C22semidirect
96. #2725C22semidirect
97. #2725C22semidirect
106. #2704C22semidirect
107. #2704C22semidirect
108. #2704C22semidirect
109. #2704C22semidirect
112. #2702C22semidirect
113. #2702C22semidirect
115. #2683C22semidirect
119. #2664C22semidirect
120. #2664C22semidirect
123. #2637C22semidirect
124. #2637C22semidirect
127. #2629C22semidirect
128. #2629C22semidirect
129. #2629C22semidirect
130. #2628C22semidirect
136. #2609C22semidirect
139. #2601C22semidirect
140. #2601C22semidirect
142. #2584C22semidirect
143. #2584C22semidirect
144. #2582C22semidirect
145. #2582C22semidirect
146. #2581C22semidirect
147. #2580C22semidirect
148. #2568C22semidirect
149. #2567C22semidirect
150. #2565C22semidirect
151. #2565C22semidirect
153. #2548C22semidirect
154. #2547C22semidirect
155. #2546C22semidirect
156. #2546C22semidirect
157. #2546C22semidirect
158. #2546C22semidirect
159. #2545C22semidirect
160. #2545C22semidirect
161. #2545C22semidirect
162. #2545C22semidirect
163. #2545C22semidirect
164. #2544C22semidirect
170. #2538C22semidirect
171. #2538C22semidirect
172. #2538C22semidirect
177. #2536C22semidirect
178. #2536C22semidirect
179. #2454C22semidirect
180. #2453C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2452C22semidirect
184. #2451C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
193. #2442C22semidirect
196. #2441C22semidirect
199. #2440C22semidirect
202. #2439C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
245. #2417C22semidirect
246. #2417C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
265. #2351C22semidirect
266. #2351C22semidirect
267. #2351C22semidirect
268. #2351C22semidirect
269. Q8×C4⋊C4C22semidirect
270. Q8×C4⋊C4C22semidirect
271. Q8×C4⋊C4C22semidirect
272. Q8×C4⋊C4C22semidirect
275. #2323C22semidirect
276. #2323C22semidirect
432. #519D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#34952
#428782
#428032
#428022
#427992
#427952
#427912
#427902
#421672
#419842
#398822
#398792
#398782
#397272
#395992
#395982
#391272
#384292
#384272
#356682
#356672
#356612
#356212
#355192
#353062
#352572
#351782
#347432
#347392
C2×#24292
#342492