Finite Group Databasebeta

← #7632177

Subgroups — #7632177

Order 512.

8432 conjugacy classes of subgroups.

The subgroup lattice has 1995 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3428C211yesmaximal, characteristic, complemented
3#36235C212yesmaximal, complemented
4#36231C212yesmaximal, complemented
5#36226C214yesmaximal, complemented
6#36222C214yesmaximal, complemented
7#36216C212yesmaximal, complemented
8#36212C212yesmaximal, complemented
9#36041C211yesmaximal, characteristic, complemented
10#36030C211yesmaximal, characteristic, complemented
11#36019C211yesmaximal, characteristic, complemented
12#35844C211yesmaximal, characteristic, complemented
13#35740C212yesmaximal, complemented
14#35739C211yesmaximal, characteristic, complemented
15#35729C212yesmaximal, complemented
16#35728C211yesmaximal, characteristic, complemented
17#35703C212yesmaximal, complemented
18#35702C211yesmaximal, characteristic, complemented
19#35692C212yesmaximal, complemented
20#35691C211yesmaximal, characteristic, complemented
21#35675C212yesmaximal, complemented
22#35539C212yesmaximal, complemented
23#35364C214yesmaximal, complemented
24#35361C214yesmaximal, complemented
25#35301C211yesmaximal, characteristic, complemented
26#35210C211yesmaximal, characteristic, complemented
27#35129C212yesmaximal, complemented
28#35118C212yesmaximal, complemented
29#34977C211yesmaximal, characteristic, complemented
30#34877C211yesmaximal, characteristic, complemented
31#34876C212yesmaximal, complemented
32C2×#2610C212yesmaximal, complemented
33#34310C212yesmaximal, complemented
34#34309C212yesmaximal, complemented
35#34123C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37#3514—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#555C2212yescomplemented
41C2×#551C2214yescomplemented
42C2×D4×Q8C2211yescharacteristic, complemented
43C2×#548C2212yescomplemented
44C2×#546C2212yes—
45C2×#546C2212yes—
46C2×#546C2212yescomplemented
47C2×D42C2212yes—
48C2×D42C2211yescharacteristic, complemented
49C2×#542C2212yescomplemented
50C2×#538C2214yescomplemented
51C2×#532C2211yescharacteristic, complemented
52C2×#529C2212yescomplemented
53C2×#529C2211yescharacteristic, complemented
54C22×#124C2212yescomplemented
55#3428—216no—
56C2×#520C2211yescharacteristic
57C2×#520C2211yescharacteristic
58C2×#520C2211yescharacteristic, complemented
59C2×#520C2212yescomplemented
60C2×#520C2212yescomplemented
61C2×#520C2211yescharacteristic, complemented
62C2×#519C2211yescharacteristic, complemented
63C2×#519C2211yescharacteristic, complemented
64C2×#518C2211yescharacteristic
65C2×#518C2211yescharacteristic
66C2×#518C2212yescomplemented
67C2×#518C2212yescomplemented
68C2×#518C2212yescomplemented
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2212yescomplemented
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C2×C4×#41C2211yescharacteristic, complemented
75C22×#117C2212yescomplemented
76C22×#117C2211yescharacteristic, complemented
77C22×#117C2212yescomplemented
78C22×#117C2211yescharacteristic, complemented
79#2854C2212yescomplemented
80#2853C2214yescomplemented
81#2852C2214yescomplemented
82#2850C2214yescomplemented
83#2850C2214yescomplemented
84#2849C2214yescomplemented
85#2847C2212yescomplemented
86#2638C2212yescomplemented
87#2635C2212yescomplemented
88#2632C2212yescomplemented
89#2632C2212yescomplemented
90#2631C2212yescomplemented
91#2631C2212yescomplemented
92#2628C2211yescharacteristic, complemented
93#2628C2211yescharacteristic, complemented
94#2627C2212yescomplemented
95#2626C2212yescomplemented
96#2619C2211yescharacteristic
97#2619C2211yescharacteristic, complemented
98#2618C2212yescomplemented
99#2617C2212yes—
100#2611C2211yescharacteristic, complemented
101#2611C2212yescomplemented
102#2611C2211yescharacteristic, complemented
103#2610C2211yescharacteristic
104#2610C2212yes—
105#2610C2212yescomplemented
106#2610C2214yescomplemented
107#2610C2214yescomplemented
108#2610C2212yescomplemented
109#2610C2212yescomplemented
110#2610C2212yescomplemented
111#2610C2212yescomplemented
112#2610C2212yescomplemented
113#2610C2214yescomplemented
114#2610C2214yescomplemented
115#2610C2212yescomplemented
116#2610C2211yescharacteristic, complemented
117#2610C2212yescomplemented
118#2609C2214yescomplemented
119#2609C2214yescomplemented
120#2604C2214yescomplemented
121#2603C2214yescomplemented
122#2602C2214yescomplemented
123#2601C2214yescomplemented
124#2601C2214yescomplemented
125#2601C2212yescomplemented
126#2601C2212yescomplemented
127#2599C2212yescomplemented
128#2599C2212yescomplemented
129#2598C2212yescomplemented
130#2598C2212yescomplemented
131#2598C2212yescomplemented
132#2598C2212yescomplemented
133#2592C2214yescomplemented
134#2591C2212yescomplemented
135#2591C2211yescharacteristic, complemented
136#2583C2211yescharacteristic, complemented
137#2581C2211yescharacteristic, complemented
138#2580C2211yescharacteristic, complemented
139#2567C2211yescharacteristic, complemented
140#2564C2212yescomplemented
141#2564C2212yescomplemented
142#2563C2211yescharacteristic, complemented
143#2561C2211yescharacteristic, complemented
144#2548C2211yescharacteristic, complemented
145#2543C2212yescomplemented
146#2543C2212yescomplemented
147#2541C2211yescharacteristic, complemented
148#2540C2214yescomplemented
149#2539C2211yescharacteristic
150#2539C2212yescomplemented
151#2536C2211yescharacteristic, complemented
152#2535C2211yescharacteristic, complemented
153#2500C2212yescomplemented
154#2498C2214yescomplemented
155#2485C2212yescomplemented
156#2482C2214yescomplemented
157#2481C2214yescomplemented
158#2479C2214yescomplemented
159#2477C2214yescomplemented
160#2476C2214yescomplemented
161#2474C2214yescomplemented
162#2472C2214yescomplemented
163#2471C2214yescomplemented
164#2471C2214yescomplemented
165#2469C2214yescomplemented
166#2467C2214yescomplemented
167#2465C2214yescomplemented
168#2464C2214yescomplemented
169#2463C2214yescomplemented
170#2461C2214yescomplemented
171#2459C2214yescomplemented
172#2458C2214yescomplemented
173#2458C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2452C2212yescomplemented
178#2451C2212yescomplemented
179#2450C2214yescomplemented
180#2449C2214yescomplemented
181#2449C2214yescomplemented
182#2448C2212yescomplemented
183#2448C2212yescomplemented
184#2444C2214yescomplemented
185#2443C2214yescomplemented
186#2443C2214yescomplemented
187#2443C2214yescomplemented
188#2440C2212yescomplemented
189#2439C2212yescomplemented
190#2438C2214yescomplemented
191#2437C2214yescomplemented
192#2436C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2212yescomplemented
195#2430C2214yescomplemented
196#2430C2214yescomplemented
197#2428C2212yescomplemented
198#2426C2212yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2423C2212yescomplemented
203#2421C2212yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2416C2212yescomplemented
207#2414C2212yes—
208#2414C2214yescomplemented
209#2413C2212yescomplemented
210#2411C2212yescomplemented
211#2411C2214yescomplemented
212#2410C2214yes—
213#2410C2214yescomplemented
214#2409C2212yescomplemented
215#2409C2212yescomplemented
216#2409C2212yescomplemented
217#2408C2212yescomplemented
218#2408C2212yescomplemented
219#2407C2212yescomplemented
220#2407C2212yescomplemented
221#2406C2212yescomplemented
222#2404C2214yescomplemented
223#2404C2214yescomplemented
224#2404C2212yescomplemented
225#2403C2214yescomplemented
226#2399C2212yescomplemented
227#2398C2212yescomplemented
228#2398C2212yescomplemented
229#2397C2212yescomplemented
230#2396C2211yescharacteristic, complemented
231#2396C2211yescharacteristic, complemented
232#2392C2211yescharacteristic
233#2392C2211yescharacteristic, complemented
234#2388C2212yescomplemented
235#2388C2212yescomplemented
236C2×#395C2212yescomplemented
237C2×#394C2212yescomplemented
238C2×#393C2212yescomplemented
239C2×#392C2212yes—
240#2367C2212yescomplemented
241#2366C2212yescomplemented
242#2364C2214yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2362C2212yescomplemented
246#2361C2212yescomplemented
247#2361C2214yescomplemented
248#2359C2214yescomplemented
249#2358C2214yescomplemented
250#2358C2214yescomplemented
251#2358C2214yescomplemented
252#2356C2211yescharacteristic, complemented
253#2356C2211yescharacteristic, complemented
254#2354C2212yescomplemented
255#2353C2212yescomplemented
256#2353C2212yescomplemented
257#2352C2212yescomplemented
258#2349C2212yescomplemented
259#2349C2211yescharacteristic, complemented
260#2349C2211yescharacteristic, complemented
261D4×C4⋊C4C2212yescomplemented
262#2346C2212yescomplemented
263#2343C2214yescomplemented
264#2342C2214yescomplemented
265#2339C2212yes—
266#2339C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2214yescomplemented
270D4×C22⋊C4C2212yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
273#2324C2212yescomplemented
274#2323C2212yescomplemented
275#2322C2214yescomplemented
276#2321C2214yescomplemented
277#2321C2214yescomplemented
278#2321C2214yescomplemented
279C4×#127C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#123C2212yescomplemented
282C4×#121C2214yescomplemented
283C4×#121C2214yescomplemented
284C4×#121C2214yescomplemented
285C4×#120C2212yescomplemented
286#2295C2212yescomplemented
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289C2×#390C2214yescomplemented
290#2290C2214yescomplemented
291#2290C2214yescomplemented
292#2290C2214yescomplemented
293C2×#388C2214yescomplemented
294C2×#388C2214yescomplemented
295C2×#386C2214yescomplemented
296#2283C2212yescomplemented
297#2283C2211yescharacteristic, complemented
298C42×D4C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×#376C2212yescomplemented
301C22×#41—28no—
302C22×#41—28no—
303C22×#41—28no—
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C23×Q8C2311yescharacteristic
312C23×Q8C2312yes—
313C23×D4C2312yes—
314C23×D4C2312yes—
315C23×D4C2311yescharacteristic
316C23×D4C2314yes—
317C23×D4C2312yes—
318C24×C4C2311yescharacteristic
319C24×C4C2312yes—
320#559—28no—
321#556—28no—
322#555—216no—
323#551—232no—
324D4×Q8—28no—
325#548—216no—
326#546—216no—
327#546—216no—
328#546—216no—
329D42—216no—
330D42—28no—
331#542—216no—
332#538—232no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×#127C2312yes—
337C2×#127C2311yescharacteristic
338#529—216no—
339#529—28no—
340C2×#126C2312yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#125C2311yescharacteristic
344C2×#124—216no—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#124C2311yescharacteristic
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2312yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2312yes—
390C2×#120C2314yes—
391#520—28no—
392#520—28no—
393#520—28no—
394#520—28no—
395#520—216no—
396#520—216no—
397#519—28no—
398#519—28no—
399#518—28no—
400#518—28no—
401#518—216no—
402#518—216no—
403#518—216no—
404C4×#41—28no—
405C4×#41—216no—
406C4×#41—28no—
407C4×#41—216no—
408C4×#41—28no—
409C4×#41D4116yescomplemented
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×#117—216no—
470C2×#117—28no—
471C2×#117—216no—
472C2×#117—28no—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2314yes—
512C22×C22⋊C4C2311yescharacteristic
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2311yescharacteristic
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2314yes—
524C22×C22⋊C4C2314yes—
525C22×C22⋊C4C2314yes—
526C22×C42C2312yes—
527C22×C42C2312yes—
528C22×C42C2312yes—
529C22×C42C2312yes—
530C22×C42C2311yescharacteristic
531C22×C42C2314yes—
532C22×C42C2312yes—
533C22×C42C2311yescharacteristic
534#400C2311yescharacteristic
535#400C2312yes—
536#400C2311yescharacteristic
537#400C2312yes—
538#400C2312yes—
539#400C2314yes—
540#399C2311yescharacteristic
541#399C2312yes—
542#399C2311yescharacteristic
543#399C2312yes—
544#399C2312yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#398C2311yescharacteristic
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#397C2311yescharacteristic
557#397C2311yescharacteristic
558#397C2314yes—
559#397C2314yes—
560#397C2312yes—
561#397C2314yes—
562#397C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#395C2312yes—
572#395C2312yes—
573#395C2312yes—
574#395C2312yes—
575#395C2311yescharacteristic
576#395C2311yescharacteristic
577#395C2312yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#394C2312yes—
582#394C2312yes—
583#394C2311yescharacteristic
584#394C2311yescharacteristic
585#394C2312yes—
586#394C2312yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2312yes—
595#394C2312yes—
596#394C2314yes—
597#394C2314yes—
598#394C2312yes—
599#394C2314yes—
600#394C2314yes—
601#393C2311yescharacteristic
602#393C2311yescharacteristic
603#393C2312yes—
604#393C2312yes—
605#393C2312yes—
606#393C2312yes—
607#393C2314yes—
608#393C2314yes—
609#393C2312yes—
610#393C2314yes—
611#393C2314yes—
612#393C2314yes—
613#392C2312yes—
614#392C2312yes—
615#392C2312yes—
616#392C2312yes—
617#392C2314yes—
618#392C2314yes—
619#392C2311yescharacteristic
620#392C2312yes—
621#392C2312yes—
622#392C2314yes—
623#392C2314yes—
624#392C2312yes—
625#392C2311yescharacteristic
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#391C2312yes—
631#391C2312yes—
632#391C2314yes—
633#391C2314yes—
634#391C2312yes—
635#391C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2314yes—
648#390C2314yes—
649#390C2312yes—
650#390C2314yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2312yes—
781#385C2312yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#384C2312yes—
789#383C2312yes—
790#383C2312yes—
791#383C2312yes—
792#382C2312yes—
793#382C2311yescharacteristic
794#382C2311yescharacteristic
795#382C2314yes—
796#381C2312yes—
797#381C2314yes—
798#381C2314yes—
799#381C2312yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#379C2312yes—
811#379C2314yes—
812#379C2314yes—
813#379C2314yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2314yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842#376C2314yes—
843#376C2314yes—
844#376C2312yes—
845#376C2312yes—
846#376C2311yescharacteristic
847#376C2312yes—
848#376C2311yescharacteristic
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2314yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C43C2312yes—
855C25C2414yes—
856C25C2411yescharacteristic
857C25C2412yes—
858C2×#41—2128no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—28no—
872C2×#41—24no—
873C2×#41—28no—
874C2×#41—28no—
875C2×#41—24no—
876C2×#41—84no—
877C2×#41C2×D418yes—
878C2×#41#4118yescomplemented
879C22×Q8—24no—
880C22×Q8—24no—
881C22×Q8—28no—
882C22×Q8—24no—
883C22×Q8—84no—
884C22×Q8C2412yes—
885C22×Q8C2411yescharacteristic
886C22×Q8C2411yescharacteristic
887C22×Q8C2411yescharacteristic
888C22×Q8C2412yes—
889C22×Q8C2414yes—
890C22×D4—28no—
891C22×D4—28no—
892C22×D4—24no—
893C22×D4—28no—
894C22×D4—24no—
895C22×D4—216no—
896C22×D4—28no—
897C22×D4—28no—
898C22×D4—28no—
899C22×D4—28no—
900C22×D4—48no—
901C22×D4—84no—
902C22×D4—84no—
903C22×D4#4118yescomplemented
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2411yescharacteristic
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2411yescharacteristic
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2411yescharacteristic
926C23×C4—28no—
927C23×C4—28no—
928C23×C4—24no—
929C23×C4—24no—
930C23×C4—28no—
931C23×C4—24no—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2414yes—
948C23×C4C2414yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2411yescharacteristic
956C23×C4C2411yescharacteristic
957C23×C4C2414yes—
958C23×C4C2414yes—
959C23×C4C2412yes—
960C23×C4C2411yescharacteristic
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C4⋊Q8—28no—
964C4⋊Q8—24no—
965#127—28no—
966#127—24no—
967#126—216no—
968#126—216no—
969#126—28no—
970#125—24no—
971#124—28no—
972#124—28no—
973#124—216no—
974#124—24no—
975#124—28no—
976#124—216no—
977#124—28no—
978#124—28no—
979#124—216no—
980#123—28no—
981#123—216no—
982#123—216no—
983#123—216no—
984#123—216no—
985#123—44no—
986#123—84no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—84no—
994C22⋊Q8—84no—
995#121—216no—
996#121—28no—
997#121—216no—
998#121—216no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—216no—
1007#121—48no—
1008#121—84no—
1009#121—84no—
1010#120—216no—
1011#120—216no—
1012#120—216no—
1013#120—216no—
1014#120—216no—
1015#120—44no—
1016#120—84no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—28no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8C2×D418yescomplemented
1030C4×Q8C2×D418yescomplemented
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—216no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—24no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—216no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—48no—
1069C4×D4—48no—
1070C4×D4—84no—
1071C4×D4—84no—
1072C4×D4C2×D418yes—
1073C4×D4C2×D418yes—
1074C4×D4C2×D4116yescomplemented
1075C4×D4C2×D4116yescomplemented
1076#117—28no—
1077#117—24no—
1078#117—24no—
1079#117—24no—
1080#117—28no—
1081#117—28no—
1082#117—28no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—24no—
1088#117—24no—
1089#117—28no—
1090#117—24no—
1091#117—28no—
1092#117—24no—
1093#117—24no—
1094#117—24no—
1095#117—28no—
1096#117—28no—
1097#117—24no—
1098#117—24no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—216no—
1103#117—44no—
1104#117C2×D4116yescomplemented
1105#117C2×D418yescomplemented
1106C2×C4⋊C4—28no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—84no—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—24no—
1169C2×C22⋊C4—24no—
1170C2×C22⋊C4—216no—
1171C2×C22⋊C4—216no—
1172C2×C22⋊C4—216no—
1173C2×C22⋊C4—28no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—216no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—84no—
1179C2×C22⋊C4—84no—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C42—28no—
1254C2×C42—24no—
1255C2×C42—28no—
1256C2×C42—28no—
1257C2×C42—28no—
1258C2×C42—48no—
1259C2×C42C2×D4116yescomplemented
1260C2×C42C2×D418yescomplemented
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2412yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2414yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2414yes—
1284C2×C42C2414yes—
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2412yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2412yes—
1292#95C2412yes—
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2411yescharacteristic
1311#95C2411yescharacteristic
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2412yes—
1337#95C2412yes—
1338C24—22no—
1339C24—24no—
1340C24—22no—
1341C24—22no—
1342C24—24no—
1343C24—28no—
1344C24—28no—
1345C24—28no—
1346C24—44no—
1347C24—44no—
1348C24—44no—
1349C24—44no—
1350C24—42no—
1351C24—42no—
1352C24—44no—
1353C24—44no—
1354C24C2×#4118yes—
1355C24C2512yes—
1356C24C2514yes—
1357C24C2511yescharacteristic
1358C24C2511yescharacteristic
1359C24C2511yescharacteristic
1360C24C2512yes—
1361C24C2512yes—
1362#41—264no—
1363#41—264no—
1364#41—232no—
1365#41—232no—
1366#41—232no—
1367#41—232no—
1368#41—816no—
1369C2×Q8—232no—
1370C2×Q8—24no—
1371C2×Q8—22no—
1372C2×Q8—22no—
1373C2×Q8—24no—
1374C2×Q8—28no—
1375C2×Q8—24no—
1376C2×Q8—24no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—22no—
1380C2×Q8—42no—
1381C2×Q8—44no—
1382C2×Q8—44no—
1383C2×Q8—44no—
1384C2×Q8—816no—
1385C2×Q8C22×D414yes—
1386C2×Q8C2×#4114yes—
1387C2×D4—264no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—232no—
1399C2×D4—28no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—28no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—28no—
1408C2×D4—28no—
1409C2×D4—28no—
1410C2×D4—28no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—24no—
1414C2×D4—22no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—28no—
1418C2×D4—24no—
1419C2×D4—22no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—28no—
1423C2×D4—24no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—432no—
1446C2×D4—832no—
1447C2×D4—816no—
1448C2×D4C22×D418yes—
1449C2×D4C22×D414yes—
1450C2×D4C2×#4118yes—
1451C2×D4C2×#4118yes—
1452C2×D4C2×#4114yes—
1453C2×D4C2×#4114yes—
1454C2×D4C2×#4114yes—
1455C22×C4—264no—
1456C22×C4—232no—
1457C22×C4—22no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—28no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—28no—
1503C22×C4—28no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—42no—
1507C22×C4—44no—
1508C22×C4—42no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4C22×D418yes—
1528C22×C4C22×D414yes—
1529C22×C4C22×D418yes—
1530C22×C4C22×D418yes—
1531C22×C4C22×D414yes—
1532C22×C4C22×D414yes—
1533C22×C4C2×#4118yes—
1534C22×C4C2×#4114yes—
1535C22×C4C2×#4114yes—
1536C22×C4C2514yes—
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2514yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2514yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2512yes—
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2512yes—
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C22×C4C2512yes—
1558C22×C4C2511yescharacteristic
1559C22×C4C2512yes—
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—28no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—42no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—44no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—42no—
1609C4⋊C4—44no—
1610C4⋊C4—42no—
1611C4⋊C4C22×D414yes—
1612C4⋊C4C22×D414yes—
1613C4⋊C4C22×D418yes—
1614C4⋊C4C22×D418yes—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—22no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—22no—
1631C22⋊C4—24no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—22no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—22no—
1641C22⋊C4—24no—
1642C22⋊C4—22no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—28no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—24no—
1659C22⋊C4—28no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—42no—
1682C22⋊C4—44no—
1683C22⋊C4—42no—
1684C22⋊C4—42no—
1685C22⋊C4C22×D418yes—
1686C22⋊C4C22×D418yes—
1687C22⋊C4C22×D418yes—
1688C42—22no—
1689C42—24no—
1690C42—22no—
1691C42—24no—
1692C42—24no—
1693C42—24no—
1694C42—24no—
1695C42—24no—
1696C42—24no—
1697C42—24no—
1698C42—24no—
1699C42—22no—
1700C42—22no—
1701C42—28no—
1702C42—24no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—28no—
1707C42—44no—
1708C42—44no—
1709C42—42no—
1710C42—42no—
1711C42—42no—
1712C42C22×D418yes—
1713C42C22×D414yes—
1714C42C22×D414yes—
1715C42C22×D414yes—
1716C42C22×D414yes—
1717C42C22×D418yes—
1718C42C22×D418yes—
1719C23—24no—
1720C23—24no—
1721C23—28no—
1722C23—21no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—24no—
1733C23—22no—
1734C23—24no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—216no—
1739C23—22no—
1740C23—24no—
1741C23—22no—
1742C23—24no—
1743C23—22no—
1744C23—24no—
1745C23—22no—
1746C23—24no—
1747C23—24no—
1748C23—22no—
1749C23—24no—
1750C23—22no—
1751C23—24no—
1752C23—22no—
1753C23—416no—
1754C23—416no—
1755C23—88no—
1756C23—84no—
1757C23—84no—
1758C23—84no—
1759C23—84no—
1760C23—82no—
1761C23—82no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—88no—
1767C23—88no—
1768C23C23×D412yes—
1769C23C23×D414yes—
1770C23C22×#4112yes—
1771C23C22×#4114yes—
1772C23C22×#4112yes—
1773C23C22×#4114yes—
1774C23C22×#4114yes—
1775C23C2611yescharacteristic
1776Q8—216no—
1777Q8—28no—
1778Q8—28no—
1779Q8—44no—
1780Q8—48no—
1781Q8—88no—
1782D4—216no—
1783D4—216no—
1784D4—216no—
1785D4—216no—
1786D4—216no—
1787D4—28no—
1788D4—416no—
1789D4—48no—
1790D4—44no—
1791D4—48no—
1792D4—416no—
1793D4—48no—
1794D4—84no—
1795D4—88no—
1796D4—88no—
1797D4—88no—
1798D4—84no—
1799D4—84no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4#525116yes—
1804C2×C4—28no—
1805C2×C4—216no—
1806C2×C4—216no—
1807C2×C4—28no—
1808C2×C4—216no—
1809C2×C4—28no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—216no—
1829C2×C4—216no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—28no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—24no—
1871C2×C4—22no—
1872C2×C4—48no—
1873C2×C4—44no—
1874C2×C4—48no—
1875C2×C4—44no—
1876C2×C4—416no—
1877C2×C4—48no—
1878C2×C4—84no—
1879C2×C4—84no—
1880C2×C4—88no—
1881C2×C4—84no—
1882C2×C4—84no—
1883C2×C4—84no—
1884C2×C4—84no—
1885C2×C4—88no—
1886C2×C4—88no—
1887C2×C4—84no—
1888C2×C4—82no—
1889C2×C4—84no—
1890C2×C4—82no—
1891C2×C4—88no—
1892C2×C4C23×D412yes—
1893C2×C4C23×D414yes—
1894C2×C4C23×D414yes—
1895C2×C4C23×D412yes—
1896C2×C4C23×D412yes—
1897C2×C4C23×D414yes—
1898C2×C4C23×D412yes—
1899C2×C4C23×D412yes—
1900C2×C4C23×D412yes—
1901C2×C4C22×#4112yes—
1902C2×C4C22×#4114yes—
1903C2×C4C22×#4112yes—
1904C2×C4C22×#4112yes—
1905C2×C4C22×#4112yes—
1906C2×C4#58514yes—
1907C22—28no—
1908C22—28no—
1909C22—24no—
1910C22—24no—
1911C22—24no—
1912C22—28no—
1913C22—24no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—24no—
1919C22—22no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—44no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—41no—
1930C22—41no—
1931C22—42no—
1932C22—44no—
1933C22—44no—
1934C22—42no—
1935C22—44no—
1936C22—42no—
1937C22—44no—
1938C22—42no—
1939C22—44no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—42no—
1944C22—44no—
1945C22—816no—
1946C22—88no—
1947C22—1616no—
1948C22C2×#52518yes—
1949C22C24×D411yescharacteristic
1950C22C23×#4111yescharacteristic
1951C22C23×#4111yescharacteristic
1952C22C2×#58512yes—
1953C22H(7,𝔽2)12yes—
1954C4—24no—
1955C4—22no—
1956C4—24no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—24no—
1961C4—22no—
1962C4—22no—
1963C4—24no—
1964C4—24no—
1965C4—22no—
1966C4—44no—
1967C4—42no—
1968C4—42no—
1969C4—44no—
1970C4—42no—
1971C4—42no—
1972C4—41no—
1973C4—41no—
1974C4—42no—
1975C4—42no—
1976C4—41no—
1977C4—41no—
1978C4—44no—
1979C4—42no—
1980C4—42no—
1981C4C2×#52514yes—
1982C2—28no—
1983C2—44no—
1984C2—42no—
1985C2—42no—
1986C2—42no—
1987C2—84no—
1988C2—82no—
1989C2C22×#52511yescharacteristic
1990C2#6281211yescharacteristic
1991C2#6285211yescharacteristic
1992C2#6299012yes—
1993C2#6299412yes—
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×#3514C2semidirect
2. C2×#3428C2semidirect
3. #36235C2semidirect
4. #36231C2semidirect
5. #36226C2semidirect
6. #36222C2semidirect
7. #36216C2semidirect
8. #36212C2semidirect
9. #36041C2semidirect
10. #36030C2semidirect
11. #36019C2semidirect
12. #35844C2semidirect
13. #35740C2semidirect
14. #35739C2semidirect
15. #35729C2semidirect
16. #35728C2semidirect
17. #35703C2semidirect
18. #35702C2semidirect
19. #35692C2semidirect
20. #35691C2semidirect
21. #35675C2semidirect
22. #35539C2semidirect
23. #35364C2semidirect
24. #35361C2semidirect
25. #35301C2semidirect
26. #35210C2semidirect
27. #35129C2semidirect
28. #35118C2semidirect
29. #34977C2semidirect
30. #34877C2semidirect
31. #34876C2semidirect
32. C2×#2610C2semidirect
33. #34310C2semidirect
34. #34309C2semidirect
35. #34123C2semidirect
38. C2×#559C22semidirect
39. C2×#556C22semidirect
40. C2×#555C22semidirect
41. C2×#551C22semidirect
42. C2×D4×Q8C22semidirect
43. C2×#548C22semidirect
46. C2×#546C22semidirect
48. C2×D42C22semidirect
49. C2×#542C22semidirect
50. C2×#538C22semidirect
51. C2×#532C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
54. C22×#124C22semidirect
58. C2×#520C22semidirect
59. C2×#520C22semidirect
60. C2×#520C22semidirect
61. C2×#520C22semidirect
62. C2×#519C22semidirect
63. C2×#519C22semidirect
66. C2×#518C22semidirect
67. C2×#518C22semidirect
68. C2×#518C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
75. C22×#117C22semidirect
76. C22×#117C22semidirect
77. C22×#117C22semidirect
78. C22×#117C22semidirect
79. #2854C22semidirect
80. #2853C22semidirect
81. #2852C22semidirect
82. #2850C22semidirect
83. #2850C22semidirect
84. #2849C22semidirect
85. #2847C22semidirect
86. #2638C22semidirect
87. #2635C22semidirect
88. #2632C22semidirect
89. #2632C22semidirect
90. #2631C22semidirect
91. #2631C22semidirect
92. #2628C22semidirect
93. #2628C22semidirect
94. #2627C22semidirect
95. #2626C22semidirect
97. #2619C22semidirect
98. #2618C22semidirect
100. #2611C22semidirect
101. #2611C22semidirect
102. #2611C22semidirect
105. #2610C22semidirect
106. #2610C22semidirect
107. #2610C22semidirect
108. #2610C22semidirect
109. #2610C22semidirect
110. #2610C22semidirect
111. #2610C22semidirect
112. #2610C22semidirect
113. #2610C22semidirect
114. #2610C22semidirect
115. #2610C22semidirect
116. #2610C22semidirect
117. #2610C22semidirect
118. #2609C22semidirect
119. #2609C22semidirect
120. #2604C22semidirect
121. #2603C22semidirect
122. #2602C22semidirect
123. #2601C22semidirect
124. #2601C22semidirect
125. #2601C22semidirect
126. #2601C22semidirect
127. #2599C22semidirect
128. #2599C22semidirect
129. #2598C22semidirect
130. #2598C22semidirect
131. #2598C22semidirect
132. #2598C22semidirect
133. #2592C22semidirect
134. #2591C22semidirect
135. #2591C22semidirect
136. #2583C22semidirect
137. #2581C22semidirect
138. #2580C22semidirect
139. #2567C22semidirect
140. #2564C22semidirect
141. #2564C22semidirect
142. #2563C22semidirect
143. #2561C22semidirect
144. #2548C22semidirect
145. #2543C22semidirect
146. #2543C22semidirect
147. #2541C22semidirect
148. #2540C22semidirect
150. #2539C22semidirect
151. #2536C22semidirect
152. #2535C22semidirect
153. #2500C22semidirect
154. #2498C22semidirect
155. #2485C22semidirect
156. #2482C22semidirect
157. #2481C22semidirect
158. #2479C22semidirect
159. #2477C22semidirect
160. #2476C22semidirect
161. #2474C22semidirect
162. #2472C22semidirect
163. #2471C22semidirect
164. #2471C22semidirect
165. #2469C22semidirect
166. #2467C22semidirect
167. #2465C22semidirect
168. #2464C22semidirect
169. #2463C22semidirect
170. #2461C22semidirect
171. #2459C22semidirect
172. #2458C22semidirect
173. #2458C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2452C22semidirect
178. #2451C22semidirect
179. #2450C22semidirect
180. #2449C22semidirect
181. #2449C22semidirect
182. #2448C22semidirect
183. #2448C22semidirect
184. #2444C22semidirect
185. #2443C22semidirect
186. #2443C22semidirect
187. #2443C22semidirect
188. #2440C22semidirect
189. #2439C22semidirect
190. #2438C22semidirect
191. #2437C22semidirect
192. #2436C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
197. #2428C22semidirect
198. #2426C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2423C22semidirect
203. #2421C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2416C22semidirect
208. #2414C22semidirect
209. #2413C22semidirect
210. #2411C22semidirect
211. #2411C22semidirect
213. #2410C22semidirect
214. #2409C22semidirect
215. #2409C22semidirect
216. #2409C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2406C22semidirect
222. #2404C22semidirect
223. #2404C22semidirect
224. #2404C22semidirect
225. #2403C22semidirect
226. #2399C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2397C22semidirect
230. #2396C22semidirect
231. #2396C22semidirect
233. #2392C22semidirect
234. #2388C22semidirect
235. #2388C22semidirect
236. C2×#395C22semidirect
237. C2×#394C22semidirect
238. C2×#393C22semidirect
240. #2367C22semidirect
241. #2366C22semidirect
242. #2364C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2362C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2359C22semidirect
249. #2358C22semidirect
250. #2358C22semidirect
251. #2358C22semidirect
252. #2356C22semidirect
253. #2356C22semidirect
254. #2354C22semidirect
255. #2353C22semidirect
256. #2353C22semidirect
257. #2352C22semidirect
258. #2349C22semidirect
259. #2349C22semidirect
260. #2349C22semidirect
261. D4×C4⋊C4C22semidirect
262. #2346C22semidirect
263. #2343C22semidirect
264. #2342C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2324C22semidirect
274. #2323C22semidirect
275. #2322C22semidirect
276. #2321C22semidirect
277. #2321C22semidirect
278. #2321C22semidirect
279. C4×#127C22semidirect
280. C4×#124C22semidirect
281. C4×#123C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#120C22semidirect
286. #2295C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. C2×#390C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. C2×#388C22semidirect
294. C2×#388C22semidirect
295. C2×#386C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C42×D4C22semidirect
299. C4×#117C22semidirect
300. C2×#376C22semidirect
409. C4×#41D4semidirect
878. C2×#41#41semidirect
903. C22×D4#41semidirect
1029. C4×Q8C2×D4semidirect
1030. C4×Q8C2×D4semidirect
1074. C4×D4C2×D4semidirect
1075. C4×D4C2×D4semidirect
1104. #117C2×D4semidirect
1105. #117C2×D4semidirect
1259. C2×C42C2×D4semidirect
1260. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34282
#362352
#362312
#362262
#362222
#362162
#362122
#360412
#360302
#360192
#358442
#357402
#357392
#357292
#357282
#357032
#357022
#356922
#356912
#356752
#355392
#353642
#353612
#353012
#352102
#351292
#351182
#349772
#348772
#348762
C2×#26102
#343102
#343092
#341232