Finite Group Databasebeta

← #7632781

Subgroups — #7632781

Order 512.

7121 conjugacy classes of subgroups.

The subgroup lattice has 1883 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#36562C212yesmaximal, complemented
4#36508C212yesmaximal, complemented
5#36268C212yesmaximal, complemented
6#36268C212yesmaximal, complemented
7#36267C214yesmaximal, complemented
8#36265C214yesmaximal, complemented
9#36048C212yesmaximal, complemented
10#36024C214yesmaximal, complemented
11#35949C212yesmaximal, complemented
12#35949C212yesmaximal, complemented
13#35909C212yesmaximal, complemented
14#35825C214yesmaximal, complemented
15#35667C211yesmaximal, characteristic, complemented
16#35661C211yesmaximal, characteristic, complemented
17#35638C212yesmaximal, complemented
18#35637C212yesmaximal, complemented
19#35637C212yesmaximal, complemented
20#35634C211yesmaximal, characteristic
21#35573C212yesmaximal, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35312C211yesmaximal, characteristic, complemented
24#35220C212yesmaximal, complemented
25#35209C212yesmaximal, complemented
26#35153C211yesmaximal, characteristic, complemented
27#34929C212yesmaximal, complemented
28#34919C212yesmaximal, complemented
29#34813C211yesmaximal, characteristic, complemented
30C2×#2429C211yesmaximal, characteristic, complemented
31#34276C211yesmaximal, characteristic, complemented
32#34267C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#519C211yesmaximal, characteristic, complemented
36#3509—216no—
37#3495—216no—
38C2×#557C2212yescomplemented
39C2×#557C2212yescomplemented
40C2×#556C2212yes—
41C2×#556C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#554C2212yes—
44C2×#552C2212yes—
45C2×#552C2212yes—
46C2×#552C2214yes—
47C2×#552C2214yes—
48C2×#552C2214yes—
49C2×#551C2214yes—
50C2×#544C2211yescharacteristic
51C2×#542C2212yes—
52C2×#541C2212yes—
53C2×#541C2212yescomplemented
54C2×#541C2212yescomplemented
55C2×#537C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2212yescomplemented
63C2×#533C2212yescomplemented
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#2862C2212yescomplemented
78#2861C2214yes—
79#2861C2212yescomplemented
80#2860C2214yes—
81#2860C2214yescomplemented
82#2859C2214yescomplemented
83#2854C2214yes—
84#2664C2214yes—
85#2664C2214yescomplemented
86#2664C2214yescomplemented
87#2662C2214yes—
88#2642C2212yescomplemented
89#2640C2212yescomplemented
90#2618C2214yes—
91#2611C2214yes—
92#2611C2214yescomplemented
93#2611C2214yescomplemented
94#2610C2214yes—
95#2604C2214yes—
96#2604C2214yescomplemented
97#2604C2214yescomplemented
98#2603C2214yes—
99#2601C2214yes—
100#2601C2214yes—
101#2601C2214yescomplemented
102#2601C2214yescomplemented
103#2584C2212yescomplemented
104#2584C2212yescomplemented
105#2567C2212yescomplemented
106#2566C2214yes—
107#2565C2214yescomplemented
108#2565C2214yescomplemented
109#2560C2214yes—
110#2560C2214yes—
111#2560C2214yescomplemented
112#2560C2214yescomplemented
113#2558C2214yes—
114#2558C2214yes—
115#2558C2214yes—
116#2558C2214yes—
117#2556C2214yes—
118#2556C2214yes—
119#2556C2214yescomplemented
120#2556C2214yescomplemented
121#2556C2214yescomplemented
122#2556C2214yescomplemented
123#2554C2214yes—
124#2554C2214yes—
125#2552C2212yescomplemented
126#2551C2212yescomplemented
127#2550C2212yescomplemented
128#2550C2212yescomplemented
129#2549C2214yes—
130#2546C2212yescomplemented
131#2546C2212yescomplemented
132#2546C2212yescomplemented
133#2545C2214yes—
134#2545C2212yescomplemented
135#2545C2212yescomplemented
136#2542C2212yes—
137#2542C2212yes—
138#2542C2212yes—
139#2542C2212yes—
140#2540C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2540C2212yes—
144#2539C2214yes—
145#2538C2212yes—
146#2538C2212yes—
147#2536C2212yes—
148#2536C2212yes—
149#2519C2214yes—
150#2519C2214yes—
151#2519C2214yescomplemented
152#2519C2214yescomplemented
153#2519C2214yescomplemented
154#2519C2214yescomplemented
155#2512C2214yes—
156#2512C2214yescomplemented
157#2506C2214yescomplemented
158#2506C2214yescomplemented
159#2506C2214yescomplemented
160#2506C2214yescomplemented
161#2501C2214yes—
162#2492C2211yescharacteristic
163#2492C2211yescharacteristic
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2211yescharacteristic
167#2491C2211yescharacteristic
168#2490C2211yescharacteristic
169#2490C2211yescharacteristic
170#2489C2211yescharacteristic
171#2489C2211yescharacteristic
172#2489C2212yescomplemented
173#2489C2212yescomplemented
174#2488C2212yes—
175#2488C2214yes—
176#2488C2212yes—
177#2488C2214yes—
178#2472C2212yes—
179#2472C2212yes—
180#2461C2214yes—
181#2461C2214yes—
182#2452C2214yes—
183#2452C2214yescomplemented
184#2440C2214yes—
185#2429C2212yes—
186#2429C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2429C2212yes—
190#2429C2212yes—
191#2429C2212yes—
192#2429C2212yes—
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2413C2214yes—
210#2413C2214yes—
211#2413C2214yes—
212#2411C2214yes—
213#2398C2212yes—
214#2398C2212yes—
215#2396C2214yes—
216#2396C2214yescomplemented
217#2396C2214yescomplemented
218#2392C2214yes—
219C2×#398C2212yes—
220C2×#396C2212yes—
221#2364C2214yes—
222#2363C2211yescharacteristic
223#2363C2211yescharacteristic
224#2363C2212yescomplemented
225#2362C2211yescharacteristic
226#2362C2211yescharacteristic
227#2362C2212yes—
228#2362C2212yes—
229#2362C2212yescomplemented
230#2362C2212yescomplemented
231#2362C2212yescomplemented
232#2361C2211yescharacteristic
233#2361C2211yescharacteristic
234#2361C2214yes—
235#2361C2212yescomplemented
236#2360C2212yes—
237#2360C2211yescharacteristic
238#2360C2211yescharacteristic
239#2360C2212yes—
240#2360C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2359C2212yes—
244#2359C2212yes—
245#2359C2214yes—
246#2359C2214yes—
247#2358C2212yes—
248#2358C2212yes—
249#2344C2214yes—
250#2342C2214yes—
251#2327C2212yescomplemented
252#2326C2212yescomplemented
253#2324C2212yescomplemented
254#2323C2212yes—
255#2323C2212yes—
256#2323C2212yescomplemented
257#2317C2211yescharacteristic
258#2316C2211yescharacteristic
259#2311C2211yescharacteristic
260#2310C2211yescharacteristic
261C4×C4⋊Q8C2212yescomplemented
262C4×C4⋊Q8C2214yescomplemented
263C4×#124C2214yes—
264C4×#124C2212yes—
265C4×#124C2212yes—
266C4×#124C2212yescomplemented
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yescomplemented
270C4×#121C2212yescomplemented
271#2297C2211yescharacteristic
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic
274#2296C2211yescharacteristic
275C2×#391C2211yescharacteristic
276#2293C2212yes—
277#2293C2214yes—
278#2293C2214yescomplemented
279C2×#389C2212yes—
280C2×#389C2211yescharacteristic
281#2290C2212yes—
282#2290C2212yes—
283C2×#388C2212yes—
284#2280C2211yescharacteristic
285#2276C2212yescomplemented
286#2276C2212yescomplemented
287#2276C2212yescomplemented
288#2276C2212yescomplemented
289#2274C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2214yes—
292C42×Q8C2212yescomplemented
293C42×Q8C2212yescomplemented
294C42×Q8C2212yescomplemented
295C42×Q8C2212yescomplemented
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2214yes—
299C4×#117C2211yescharacteristic
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#537—28no—
324#536—28no—
325#536—28no—
326#536—28no—
327#536—28no—
328#533—216no—
329#533—216no—
330#533—216no—
331#533—28no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346#529—216no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#125C2314yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375#525—28no—
376#525—28no—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×C22⋊Q8—28no—
386C2×C22⋊Q8—28no—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#120C2312yes—
424C2×#120C2312yes—
425#520—28no—
426#519—28no—
427#519—28no—
428#519D4116yescomplemented
429C4×#41—28no—
430C2×C4×Q8—28no—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
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×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×#117—28no—
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2312yes—
477C2×#117C2314yes—
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2311yescharacteristic
482C2×#117C2311yescharacteristic
483C2×#117C2312yes—
484C2×#117C2314yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2314yes—
488C2×#117C2311yescharacteristic
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2311yescharacteristic
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2312yes—
502C22×C22⋊C4C2311yescharacteristic
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2311yescharacteristic
505C22×C42C2312yes—
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2312yes—
510#400C2314yes—
511#400C2312yes—
512#400C2314yes—
513#400C2312yes—
514#400C2314yes—
515#400C2314yes—
516#400C2312yes—
517#400C2312yes—
518#399C2314yes—
519#399C2314yes—
520#399C2314yes—
521#399C2314yes—
522#399C2314yes—
523#399C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#397C2312yes—
541#397C2314yes—
542#397C2312yes—
543#397C2314yes—
544#397C2312yes—
545#397C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#393C2312yes—
575#393C2314yes—
576#393C2312yes—
577#393C2314yes—
578#393C2312yes—
579#393C2312yes—
580#392C2314yes—
581#392C2314yes—
582#391C2314yes—
583#391C2314yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2311yescharacteristic
596#391C2312yes—
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2311yescharacteristic
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2311yescharacteristic
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2314yes—
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2311yescharacteristic
661#389C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2312yes—
709#388C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#384C2314yes—
751#384C2312yes—
752#384C2314yes—
753#384C2314yes—
754#382C2312yes—
755#382C2314yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#381C2314yes—
760#381C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#379C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838#376C2312yes—
839#376C2314yes—
840#376C2314yes—
841#376C2312yes—
842C2×#95C2312yes—
843C2×#95C2311yescharacteristic
844C2×#95C2311yescharacteristic
845C2×#95C2312yes—
846C2×#95C2312yes—
847C43C2314yes—
848C43C2312yes—
849C43C2314yes—
850C43C2312yes—
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×D4C2414yes—
882C23×C4—24no—
883C23×C4—24no—
884C23×C4—24no—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C4⋊Q8—28no—
907C4⋊Q8—28no—
908C4⋊Q8—28no—
909C4⋊Q8—28no—
910C4⋊Q8—28no—
911C4⋊Q8—28no—
912C4⋊Q8—24no—
913C4⋊Q8—24no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—48no—
919#126—216no—
920#126—216no—
921#126—216no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—216no—
926#126—216no—
927#125—28no—
928#125—24no—
929#125—24no—
930#125—216no—
931#125—216no—
932#125—216no—
933#125—216no—
934#125—216no—
935#125—216no—
936#125—216no—
937#125—216no—
938#125—216no—
939#125—28no—
940#124—28no—
941#124—28no—
942#124—28no—
943#124—28no—
944#124—216no—
945#124—28no—
946#124—44no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—28no—
952#123—216no—
953#123—28no—
954#123—216no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—24no—
964C22⋊Q8—24no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—216no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984#121—216no—
985#121—24no—
986#121—24no—
987#121—24no—
988#121—24no—
989#121—28no—
990#121—28no—
991#120—28no—
992#120—28no—
993C4×Q8—24no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—28no—
1000C4×Q8—28no—
1001C4×Q8—28no—
1002C4×Q8—28no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—28no—
1006C4×Q8—216no—
1007C4×Q8—216no—
1008C4×Q8—216no—
1009C4×Q8—28no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8C2×D4116yes—
1014C4×Q8C2×D4116yes—
1015C4×Q8C2×D4116yes—
1016C4×Q8C2×D4116yes—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—28no—
1024C4×D4—28no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—44no—
1030C4×D4—48no—
1031#117—24no—
1032#117—24no—
1033#117—24no—
1034#117—24no—
1035#117—24no—
1036#117—28no—
1037#117—28no—
1038#117—216no—
1039#117—216no—
1040#117—28no—
1041#117—28no—
1042#117—216no—
1043#117—216no—
1044#117—216no—
1045#117—216no—
1046#117C2×D418yes—
1047#117C2×D418yes—
1048#117C2×D4132yes—
1049#117#4118yes—
1050C2×C4⋊C4—24no—
1051C2×C4⋊C4—28no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—44no—
1060C2×C4⋊C4#4118yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C22⋊C4—28no—
1131C2×C22⋊C4—28no—
1132C2×C22⋊C4—28no—
1133C2×C22⋊C4—24no—
1134C2×C22⋊C4—42no—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C42—24no—
1195C2×C42—28no—
1196C2×C42—24no—
1197C2×C42—28no—
1198C2×C42—28no—
1199C2×C42C2412yes—
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2412yes—
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2414yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2414yes—
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
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#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—22no—
1298C24—41no—
1299C24—41no—
1300C24—41no—
1301C24C2511yescharacteristic
1302C24C2512yes—
1303C24C2512yes—
1304C24C2511yescharacteristic
1305C24C2511yescharacteristic
1306#41—416no—
1307#41—416no—
1308C2×Q8—232no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—22no—
1315C2×Q8—28no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—42no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—416no—
1335C2×Q8C22×D418yes—
1336C2×Q8C22×D418yes—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—28no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—42no—
1407C22×C4—41no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—41no—
1421C22×C4—42no—
1422C22×C4—416no—
1423C22×C4C22×D418yes—
1424C22×C4C22×D414yes—
1425C22×C4C2×#4118yes—
1426C22×C4C2×#4114yes—
1427C22×C4C2×#4114yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2512yes—
1437C22×C4C2514yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2514yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—28no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—28no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—28no—
1505C4⋊C4—28no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D414yes—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D414yes—
1521C4⋊C4C22×D4116yes—
1522C4⋊C4C22×D4116yes—
1523C4⋊C4C2×#4118yes—
1524C4⋊C4C2×#4118yes—
1525C4⋊C4C2×#4114yes—
1526C4⋊C4C2×#4114yes—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—28no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—24no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4C22×D418yes—
1583C22⋊C4C22×D418yes—
1584C22⋊C4C2×#4118yes—
1585C22⋊C42−1+414yes—
1586C42—22no—
1587C42—24no—
1588C42—24no—
1589C42—24no—
1590C42—22no—
1591C42—24no—
1592C42—24no—
1593C42—22no—
1594C42—22no—
1595C42—28no—
1596C42—28no—
1597C42—28no—
1598C42—24no—
1599C42—28no—
1600C42—22no—
1601C42—22no—
1602C42—28no—
1603C42—22no—
1604C42—22no—
1605C42—28no—
1606C42—28no—
1607C42—24no—
1608C42—24no—
1609C42—24no—
1610C42—42no—
1611C42—42no—
1612C42—42no—
1613C42—44no—
1614C42—44no—
1615C42—42no—
1616C42—42no—
1617C42—44no—
1618C42—42no—
1619C42—44no—
1620C42C22×D418yes—
1621C42C22×D4116yes—
1622C42C22×D4116yes—
1623C42C22×D418yes—
1624C42C2×#4118yes—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—21no—
1646C23—22no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—21no—
1654C23—22no—
1655C23—21no—
1656C23—44no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—82no—
1661C23—82no—
1662C23—82no—
1663C23C23×D412yes—
1664C23C22×#4112yes—
1665C23C22×#4112yes—
1666C23C2×2−1+412yes—
1667C23C2611yescharacteristic
1668Q8—216no—
1669Q8—216no—
1670Q8—48no—
1671Q8—48no—
1672Q8—48no—
1673Q8—48no—
1674Q8—44no—
1675Q8—44no—
1676Q8—88no—
1677D4—48no—
1678D4—48no—
1679D4—48no—
1680D4—48no—
1681D4—44no—
1682D4—44no—
1683D4—88no—
1684D4—84no—
1685D4—84no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—216no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—48no—
1774C2×C4—48no—
1775C2×C4—88no—
1776C2×C4—84no—
1777C2×C4—82no—
1778C2×C4—84no—
1779C2×C4#532116yes—
1780C2×C4C23×D414yes—
1781C2×C4C23×D414yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D414yes—
1784C2×C4C23×D418yes—
1785C2×C4C23×D412yes—
1786C2×C4C23×D412yes—
1787C2×C4C22×#4114yes—
1788C2×C4C22×#4114yes—
1789C2×C4C22×#4118yes—
1790C2×C4C22×#4112yes—
1791C2×C4C22×#4112yes—
1792C2×C4C22×#4112yes—
1793C2×C4C22×#4112yes—
1794C2×C4C2×2−1+412yes—
1795C2×C4C2×2−1+412yes—
1796C2×C4#58512yes—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—41no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—42no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—42no—
1824C22—41no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—88no—
1832C22C2×#53214yes—
1833C22C24×D411yescharacteristic
1834C22C23×#4111yescharacteristic
1835C22C23×#4111yescharacteristic
1836C22C22×2−1+411yescharacteristic
1837C22C2×#58511yescharacteristic
1838C222−1+611yescharacteristic
1839C222−1+611yescharacteristic
1840C4—28no—
1841C4—22no—
1842C4—24no—
1843C4—24no—
1844C4—22no—
1845C4—22no—
1846C4—24no—
1847C4—24no—
1848C4—24no—
1849C4—24no—
1850C4—28no—
1851C4—41no—
1852C4—41no—
1853C4—42no—
1854C4—41no—
1855C4—42no—
1856C4—41no—
1857C4—41no—
1858C4—44no—
1859C4—42no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—44no—
1868C4C2×#53214yes—
1869C4C2×#53214yes—
1870C2—24no—
1871C2—42no—
1872C2—82no—
1873C2—82no—
1874C2—81no—
1875C2C22×#53211yescharacteristic
1876C2#6280511yescharacteristic
1877C2#6286111yescharacteristic
1878C2#6299111yescharacteristic
1879C2D4×2−1+411yescharacteristic
1880C2#6299811yescharacteristic
1881C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35634C2
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. #36562C2semidirect
4. #36508C2semidirect
5. #36268C2semidirect
6. #36268C2semidirect
7. #36267C2semidirect
8. #36265C2semidirect
9. #36048C2semidirect
10. #36024C2semidirect
11. #35949C2semidirect
12. #35949C2semidirect
13. #35909C2semidirect
14. #35825C2semidirect
15. #35667C2semidirect
16. #35661C2semidirect
17. #35638C2semidirect
18. #35637C2semidirect
19. #35637C2semidirect
21. #35573C2semidirect
22. #35566C2semidirect
23. #35312C2semidirect
24. #35220C2semidirect
25. #35209C2semidirect
26. #35153C2semidirect
27. #34929C2semidirect
28. #34919C2semidirect
29. #34813C2semidirect
30. C2×#2429C2semidirect
31. #34276C2semidirect
32. #34267C2semidirect
33. #34203C2semidirect
34. #34136C2semidirect
35. C4×#519C2semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
53. C2×#541C22semidirect
54. C2×#541C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
77. #2862C22semidirect
79. #2861C22semidirect
81. #2860C22semidirect
82. #2859C22semidirect
85. #2664C22semidirect
86. #2664C22semidirect
88. #2642C22semidirect
89. #2640C22semidirect
92. #2611C22semidirect
93. #2611C22semidirect
96. #2604C22semidirect
97. #2604C22semidirect
101. #2601C22semidirect
102. #2601C22semidirect
103. #2584C22semidirect
104. #2584C22semidirect
105. #2567C22semidirect
107. #2565C22semidirect
108. #2565C22semidirect
111. #2560C22semidirect
112. #2560C22semidirect
119. #2556C22semidirect
120. #2556C22semidirect
121. #2556C22semidirect
122. #2556C22semidirect
125. #2552C22semidirect
126. #2551C22semidirect
127. #2550C22semidirect
128. #2550C22semidirect
130. #2546C22semidirect
131. #2546C22semidirect
132. #2546C22semidirect
134. #2545C22semidirect
135. #2545C22semidirect
151. #2519C22semidirect
152. #2519C22semidirect
153. #2519C22semidirect
154. #2519C22semidirect
156. #2512C22semidirect
157. #2506C22semidirect
158. #2506C22semidirect
159. #2506C22semidirect
160. #2506C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
172. #2489C22semidirect
173. #2489C22semidirect
183. #2452C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
216. #2396C22semidirect
217. #2396C22semidirect
224. #2363C22semidirect
229. #2362C22semidirect
230. #2362C22semidirect
231. #2362C22semidirect
235. #2361C22semidirect
240. #2360C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
251. #2327C22semidirect
252. #2326C22semidirect
253. #2324C22semidirect
256. #2323C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
266. C4×#124C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×#121C22semidirect
278. #2293C22semidirect
285. #2276C22semidirect
286. #2276C22semidirect
287. #2276C22semidirect
288. #2276C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
428. #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
#365622
#365082
#362682
#362672
#362652
#360482
#360242
#359492
#359092
#358252
#356672
#356612
#356382
#356372
#356342
#355732
#355662
#353122
#352202
#352092
#351532
#349292
#349192
#348132
C2×#24292
#342762
#342672
#342032
#341362
C4×#5192