Finite Group Databasebeta

← #7648489

Subgroups — #7648489

Order 512.

6822 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42173C212yesmaximal, complemented
4#42170C212yesmaximal, complemented
5#41989C212yesmaximal, complemented
6#41988C212yesmaximal, complemented
7#41423C212yesmaximal, complemented
8#41421C212yesmaximal, complemented
9#40604C212yesmaximal, complemented
10#40602C212yesmaximal, complemented
11#39942C214yesmaximal, complemented
12#39941C214yesmaximal, complemented
13#38432C214yesmaximal, complemented
14#38431C214yesmaximal, complemented
15#37622C211yesmaximal, characteristic, complemented
16#37560C211yesmaximal, characteristic, complemented
17#37551C211yesmaximal, characteristic, complemented
18#37546C211yesmaximal, characteristic, complemented
19#37374C212yesmaximal, complemented
20#37280C212yesmaximal, complemented
21#37277C212yesmaximal, complemented
22#37269C212yesmaximal, complemented
23#35663C212yesmaximal, complemented
24#35522C212yesmaximal, complemented
25#35297C211yesmaximal, characteristic, complemented
26#35260C212yesmaximal, complemented
27#35260C212yesmaximal, complemented
28#35236C211yesmaximal, characteristic, complemented
29#35234C211yesmaximal, characteristic, complemented
30#35212C211yesmaximal, characteristic, complemented
31#35129C211yesmaximal, characteristic, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34964C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36#3510—216no—
37C2×#559C2212yes—
38C2×#559C2212yes—
39#3475—216no—
40C2×#556C2212yescomplemented
41C2×#556C2212yescomplemented
42C2×#556C2211yescharacteristic, complemented
43C2×#555C2211yescharacteristic
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2212yes—
46C2×#552C2211yescharacteristic
47C2×#552C2212yescomplemented
48C2×#552C2211yescharacteristic, complemented
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#551C2212yescomplemented
53C2×#551C2212yescomplemented
54C2×#551C2212yescomplemented
55C2×#547C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic, complemented
58C2×#542C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#542C2211yescharacteristic, complemented
61C2×#542C2211yescharacteristic, complemented
62C2×#536C2211yescharacteristic
63C2×#535C2211yescharacteristic
64C2×#533C2211yescharacteristic, complemented
65C2×#533C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic, complemented
71C2×#529C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2212yescomplemented
74C22×#124C2211yescharacteristic, complemented
75C2×#525C2212yes—
76C2×#519C2211yescharacteristic, complemented
77C2×#518C2211yescharacteristic, complemented
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2211yescharacteristic, complemented
81C22×C4×D4C2211yescharacteristic, complemented
82C22×#117C2212yescomplemented
83#2860C2214yescomplemented
84#2857C2212yescomplemented
85#2857C2212yescomplemented
86#2854C2214yescomplemented
87#2850C2212yescomplemented
88#2850C2212yescomplemented
89#2848C2212yescomplemented
90#2848C2212yescomplemented
91#2847C2212yes—
92#2847C2212yes—
93#2821C2212yescomplemented
94#2821C2212yescomplemented
95#2820C2212yescomplemented
96#2819C2212yes—
97#2817C2212yescomplemented
98#2816C2212yes—
99#2814C2212yescomplemented
100#2814C2212yescomplemented
101#2730C2214yescomplemented
102#2730C2214yescomplemented
103#2729C2214yescomplemented
104#2729C2214yescomplemented
105#2727C2214yescomplemented
106#2725C2214yescomplemented
107#2724C2214yes—
108#2717C2214yescomplemented
109#2715C2214yescomplemented
110#2712C2214yescomplemented
111#2709C2214yes—
112#2708C2214yescomplemented
113#2708C2214yescomplemented
114#2705C2214yescomplemented
115#2704C2214yescomplemented
116#2702C2214yescomplemented
117#2702C2214yescomplemented
118#2697C2214yes—
119#2697C2214yes—
120#2695C2214yescomplemented
121#2693C2214yescomplemented
122#2684C2214yescomplemented
123#2683C2214yescomplemented
124#2681C2214yescomplemented
125#2679C2214yes—
126#2676C2214yescomplemented
127#2672C2214yescomplemented
128#2672C2214yescomplemented
129#2671C2214yescomplemented
130#2669C2214yes—
131#2668C2214yescomplemented
132#2668C2214yescomplemented
133#2664C2212yescomplemented
134#2664C2214yescomplemented
135#2663C2214yescomplemented
136#2663C2214yescomplemented
137#2663C2212yescomplemented
138#2662C2214yescomplemented
139#2662C2212yescomplemented
140#2661C2212yescomplemented
141#2638C2212yescomplemented
142#2638C2212yescomplemented
143#2636C2212yescomplemented
144#2636C2212yescomplemented
145#2634C2212yescomplemented
146#2632C2212yescomplemented
147#2632C2212yescomplemented
148#2631C2212yes—
149#2628C2212yescomplemented
150#2628C2212yescomplemented
151#2628C2212yescomplemented
152#2626C2212yescomplemented
153#2625C2212yescomplemented
154#2625C2212yescomplemented
155#2625C2212yescomplemented
156#2624C2212yes—
157#2624C2212yes—
158#2623C2212yescomplemented
159#2621C2212yescomplemented
160#2620C2212yescomplemented
161#2620C2212yescomplemented
162#2617C2212yes—
163#2616C2212yes—
164#2613C2212yescomplemented
165#2611C2212yescomplemented
166#2611C2214yescomplemented
167#2610C2214yescomplemented
168#2610C2212yescomplemented
169#2604C2214yescomplemented
170#2604C2212yescomplemented
171#2603C2212yescomplemented
172#2603C2214yescomplemented
173#2602C2214yescomplemented
174#2602C2214yescomplemented
175#2601C2214yescomplemented
176#2601C2214yescomplemented
177#2598C2212yescomplemented
178#2598C2212yescomplemented
179#2592C2211yescharacteristic, complemented
180#2592C2211yescharacteristic, complemented
181#2592C2211yescharacteristic, complemented
182#2592C2211yescharacteristic, complemented
183#2584C2211yescharacteristic, complemented
184#2584C2211yescharacteristic, complemented
185#2584C2211yescharacteristic, complemented
186#2584C2211yescharacteristic, complemented
187#2582C2212yescomplemented
188#2581C2212yescomplemented
189#2581C2212yescomplemented
190#2580C2212yescomplemented
191#2564C2212yescomplemented
192#2562C2211yescharacteristic, complemented
193#2562C2211yescharacteristic, complemented
194#2562C2211yescharacteristic, complemented
195#2562C2211yescharacteristic, complemented
196#2543C2212yescomplemented
197#2540C2211yescharacteristic
198#2540C2211yescharacteristic
199#2540C2211yescharacteristic
200#2540C2211yescharacteristic
201#2538C2212yescomplemented
202#2538C2212yescomplemented
203#2537C2212yes—
204#2536C2212yescomplemented
205#2536C2212yescomplemented
206#2535C2212yes—
207#2498C2212yescomplemented
208#2487C2212yescomplemented
209#2485C2212yescomplemented
210#2485C2212yescomplemented
211#2485C2212yescomplemented
212#2485C2212yescomplemented
213#2482C2212yescomplemented
214#2481C2214yescomplemented
215#2481C2214yescomplemented
216#2480C2214yescomplemented
217#2479C2214yescomplemented
218#2479C2214yescomplemented
219#2478C2214yescomplemented
220#2477C2214yescomplemented
221#2477C2214yescomplemented
222#2476C2214yes—
223#2474C2214yescomplemented
224#2474C2214yescomplemented
225#2474C2214yescomplemented
226#2472C2214yescomplemented
227#2472C2214yescomplemented
228#2472C2214yescomplemented
229#2470C2214yescomplemented
230#2470C2214yescomplemented
231#2470C2214yescomplemented
232#2469C2214yescomplemented
233#2467C2214yescomplemented
234#2465C2214yescomplemented
235#2463C2214yescomplemented
236#2462C2214yescomplemented
237#2460C2214yescomplemented
238#2458C2214yescomplemented
239#2456C2214yes—
240#2449C2214yescomplemented
241#2449C2214yescomplemented
242#2430C2212yescomplemented
243#2424C2214yes—
244#2418C2214yescomplemented
245#2418C2214yescomplemented
246#2418C2214yescomplemented
247#2417C2212yescomplemented
248#2417C2212yescomplemented
249#2416C2212yescomplemented
250#2416C2212yescomplemented
251#2415C2214yescomplemented
252#2415C2214yescomplemented
253#2415C2212yescomplemented
254#2415C2212yescomplemented
255#2414C2212yescomplemented
256#2414C2212yescomplemented
257#2411C2214yescomplemented
258#2411C2214yescomplemented
259#2409C2212yescomplemented
260#2409C2212yescomplemented
261#2408C2212yescomplemented
262#2408C2212yescomplemented
263#2408C2212yescomplemented
264#2404C2212yes—
265#2396C2212yescomplemented
266#2395C2212yescomplemented
267#2392C2212yescomplemented
268#2388C2212yescomplemented
269#2324C2214yescomplemented
270#2324C2212yescomplemented
271#2324C2212yescomplemented
272#2323C2214yescomplemented
273#2323C2212yescomplemented
274#2323C2212yescomplemented
275#2321C2214yescomplemented
276#2321C2214yescomplemented
277#2320C2212yescomplemented
278#2319C2212yes—
279#2318C2212yescomplemented
280#2318C2212yescomplemented
281#2317C2212yescomplemented
282#2314C2212yescomplemented
283#2314C2212yescomplemented
284#2311C2212yes—
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2214yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290#2295C2212yescomplemented
291#2293C2212yes—
292#2293C2214yescomplemented
293#2290C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298#2283C2211yescharacteristic, complemented
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#559—216no—
309#559—216no—
310#556—28no—
311#556—216no—
312#556—216no—
313#555—28no—
314#554—28no—
315#553—216no—
316#552—216no—
317#552—28no—
318#552—28no—
319#551—216no—
320#551—216no—
321#551—216no—
322#551—216no—
323#551—216no—
324#551—216no—
325#547—28no—
326#546—28no—
327#546—28no—
328#542—28no—
329#542—28no—
330#542—28no—
331#542—28no—
332#536—28no—
333#535—28no—
334#533—28no—
335#533—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×#127C2312yes—
342#529—216no—
343#529—216no—
344#529—28no—
345#529—28no—
346#529—28no—
347#529—28no—
348#529—28no—
349#529—28no—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#124—28no—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2311yescharacteristic
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2312yes—
388#525—216no—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2314yes—
432C2×C22⋊Q8C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#120C2312yes—
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458#519—28no—
459#518—28no—
460C4×#41—28no—
461C4×#41—28no—
462C4×#41D4116yescomplemented
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×D4—28no—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2314yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2311yescharacteristic
511C2×#117—216no—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2311yescharacteristic
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2312yes—
530C2×#117C2312yes—
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2312yes—
534C2×#117C2311yescharacteristic
535C2×#117C2311yescharacteristic
536C2×#117C2311yescharacteristic
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2312yes—
540C22×C4⋊C4C2312yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C42C2312yes—
549C22×C42C2312yes—
550C22×C42C2312yes—
551C22×C42C2311yescharacteristic
552C22×C42C2311yescharacteristic
553C22×C42C2311yescharacteristic
554#400C2312yes—
555#400C2312yes—
556#400C2314yes—
557#400C2312yes—
558#400C2312yes—
559#400C2314yes—
560#400C2314yes—
561#400C2314yes—
562#400C2314yes—
563#399C2314yes—
564#399C2312yes—
565#399C2312yes—
566#399C2314yes—
567#399C2314yes—
568#399C2312yes—
569#399C2314yes—
570#399C2314yes—
571#399C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2312yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#397C2314yes—
584#397C2314yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2314yes—
589#397C2312yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#395C2312yes—
613#395C2312yes—
614#395C2314yes—
615#395C2312yes—
616#395C2314yes—
617#395C2314yes—
618#395C2312yes—
619#395C2314yes—
620#395C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2314yes—
624#394C2314yes—
625#394C2312yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#393C2314yes—
649#393C2312yes—
650#393C2312yes—
651#393C2314yes—
652#393C2312yes—
653#393C2314yes—
654#393C2312yes—
655#393C2314yes—
656#393C2314yes—
657#392C2312yes—
658#392C2312yes—
659#392C2314yes—
660#392C2312yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2312yes—
666#391C2314yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2312yes—
671#391C2314yes—
672#391C2312yes—
673#391C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2312yes—
685#390C2312yes—
686#390C2314yes—
687#390C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2312yes—
701#389C2312yes—
702#389C2314yes—
703#389C2312yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2312yes—
708#389C2314yes—
709#389C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
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#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#384C2312yes—
799#384C2312yes—
800#383C2312yes—
801#383C2312yes—
802#382C2312yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#381C2312yes—
807#381C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2314yes—
824#380C2314yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#379C2314yes—
829#379C2314yes—
830#379C2314yes—
831#379C2314yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2314yes—
843C4×C4⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852#376C2312yes—
853#376C2312yes—
854#376C2312yes—
855C2×#95C2312yes—
856C43C2312yes—
857C25C2412yes—
858C25C2412yes—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41C2×D418yes—
865C22×Q8—24no—
866C22×Q8—44no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×D4—24no—
877C22×D4—24no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C23×C4—28no—
902C23×C4—44no—
903C23×C4—44no—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—24no—
933#127—28no—
934#126—28no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#125—28no—
949#125—28no—
950#125—24no—
951#125—24no—
952#125—24no—
953#125—24no—
954#125—28no—
955#124—28no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—24no—
965#124—24no—
966#124—24no—
967#124—28no—
968#124—28no—
969#124—24no—
970#124—24no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—24no—
997C22⋊Q8—24no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—48no—
1009C22⋊Q8—44no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—84no—
1014C22⋊Q8—84no—
1015#121—28no—
1016#121—28no—
1017#121—24no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—48no—
1026#121—48no—
1027#121—44no—
1028#121—44no—
1029#121—44no—
1030#121—44no—
1031#121—84no—
1032#120—28no—
1033#120—28no—
1034#120—28no—
1035#120—28no—
1036#120—48no—
1037#120—48no—
1038#120—84no—
1039#120—84no—
1040C4×Q8—28no—
1041C4×Q8—28no—
1042C4×Q8—24no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8C2×D418yes—
1054C4×Q8C2×D418yes—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—48no—
1080C4×D4—84no—
1081C4×D4C2×D418yes—
1082C4×D4C2×D418yes—
1083C4×D4C2×D418yes—
1084C4×D4C2×D418yes—
1085C4×D4C2×D418yes—
1086C4×D4C2×D418yes—
1087#117—28no—
1088#117—24no—
1089#117—24no—
1090#117—24no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—28no—
1098#117—28no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—28no—
1103#117—28no—
1104#117—28no—
1105#117—28no—
1106#117—44no—
1107#117—82no—
1108#117—82no—
1109#117C2×D418yes—
1110#117C2×D418yes—
1111#117C2×D418yes—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—44no—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C22⋊C4—28no—
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C22⋊C4C2411yescharacteristic
1261C2×C22⋊C4C2411yescharacteristic
1262C2×C22⋊C4C2411yescharacteristic
1263C2×C42—28no—
1264C2×C42—28no—
1265C2×C42—82no—
1266C2×C42C2×D418yes—
1267C2×C42C2×D418yes—
1268C2×C42C2×D418yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2414yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336C24—24no—
1337C24—24no—
1338C24—24no—
1339C24—42no—
1340C24—42no—
1341C24—42no—
1342C24—44no—
1343C24—42no—
1344C24—42no—
1345C24—44no—
1346C24—42no—
1347C24—42no—
1348C24C2512yes—
1349C24C2512yes—
1350C24C2512yes—
1351C24C2511yescharacteristic
1352C24C2511yescharacteristic
1353C24C2511yescharacteristic
1354C24C2512yes—
1355#41—416no—
1356#41—416no—
1357#41—416no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—44no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—44no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—42no—
1376C2×Q8—42no—
1377C2×Q8—416no—
1378C2×Q8C22×D414yes—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—416no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—416no—
1431C2×D4C22×D414yes—
1432C2×D4C22×D414yes—
1433C2×D4C22×D414yes—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—42no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—432no—
1489C22×C4C22×D414yes—
1490C22×C4C22×D414yes—
1491C22×C4C22×D414yes—
1492C22×C4C22×D414yes—
1493C22×C4C22×D414yes—
1494C22×C4C22×D414yes—
1495C22×C4C22×D414yes—
1496C22×C4C22×D414yes—
1497C22×C4C22×D414yes—
1498C22×C4C2514yes—
1499C22×C4C2514yes—
1500C22×C4C2514yes—
1501C22×C4C2514yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2511yescharacteristic
1520C22×C4C2511yescharacteristic
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—44no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4C22×D414yes—
1586C4⋊C4C22×D414yes—
1587C4⋊C4C22×D414yes—
1588C4⋊C4C22×D414yes—
1589C4⋊C4C22×D414yes—
1590C4⋊C4C22×D414yes—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4C22×D414yes—
1661C22⋊C4C22×D414yes—
1662C22⋊C4C22×D414yes—
1663C22⋊C4C22×D414yes—
1664C22⋊C4C22×D414yes—
1665C22⋊C4C22×D414yes—
1666C42—24no—
1667C42—24no—
1668C42—24no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—24no—
1675C42—24no—
1676C42—24no—
1677C42—24no—
1678C42—42no—
1679C42—42no—
1680C42—44no—
1681C42—42no—
1682C42—44no—
1683C42—42no—
1684C42—44no—
1685C42C22×D414yes—
1686C42C22×D414yes—
1687C42C22×D414yes—
1688C42C22×D414yes—
1689C42C22×D414yes—
1690C42C22×D414yes—
1691C42C22×D414yes—
1692C42C22×D414yes—
1693C42C22×D414yes—
1694C42C22×D414yes—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—24no—
1719C23—24no—
1720C23—22no—
1721C23—24no—
1722C23—24no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—48no—
1731C23—48no—
1732C23—48no—
1733C23—84no—
1734C23—84no—
1735C23—84no—
1736C23—84no—
1737C23—84no—
1738C23—84no—
1739C23—84no—
1740C23—164no—
1741C23—164no—
1742C23C23×D412yes—
1743C23C23×D412yes—
1744C23C23×D412yes—
1745C23#58514yes—
1746C23C2611yescharacteristic
1747Q8—44no—
1748Q8—48no—
1749Q8—44no—
1750Q8—44no—
1751Q8—44no—
1752Q8—44no—
1753Q8—84no—
1754Q8—84no—
1755Q8—84no—
1756D4—28no—
1757D4—44no—
1758D4—44no—
1759D4—44no—
1760D4—48no—
1761D4—44no—
1762D4—48no—
1763D4—48no—
1764D4—48no—
1765D4—44no—
1766D4—44no—
1767D4—84no—
1768D4—84no—
1769D4—84no—
1770D4—84no—
1771D4—84no—
1772D4—84no—
1773D4—88no—
1774D4—88no—
1775D4—164no—
1776D4—164no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—28no—
1793C2×C4—28no—
1794C2×C4—28no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—84no—
1854C2×C4—84no—
1855C2×C4—84no—
1856C2×C4—84no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—88no—
1860C2×C4C23×D412yes—
1861C2×C4C23×D412yes—
1862C2×C4C23×D412yes—
1863C2×C4C23×D412yes—
1864C2×C4C23×D412yes—
1865C2×C4C23×D412yes—
1866C2×C4C23×D412yes—
1867C2×C4C23×D412yes—
1868C2×C4C23×D412yes—
1869C2×C4C23×D412yes—
1870C2×C4C23×D412yes—
1871C2×C4C23×D412yes—
1872C2×C4#58514yes—
1873C22—24no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—24no—
1884C22—24no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—44no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—44no—
1909C22—42no—
1910C22—42no—
1911C22—44no—
1912C22—816no—
1913C22—168no—
1914C22C24×D411yescharacteristic
1915C22C2×#58512yes—
1916C22C2×#58512yes—
1917C22H(7,𝔽2)11yescharacteristic
1918C222−1+611yescharacteristic
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—42no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—44no—
1943C4—44no—
1944C4—44no—
1945C4—44no—
1946C4#344914yes—
1947C2—42no—
1948C2—44no—
1949C2—42no—
1950C2—42no—
1951C2—82no—
1952C2—82no—
1953C2—82no—
1954C2C2×#344911yescharacteristic
1955C2#6281111yescharacteristic
1956C2#6285311yescharacteristic
1957C2#6294012yes—
1958C2#6297012yes—
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×#3510C2semidirect
2. C2×#3475C2semidirect
3. #42173C2semidirect
4. #42170C2semidirect
5. #41989C2semidirect
6. #41988C2semidirect
7. #41423C2semidirect
8. #41421C2semidirect
9. #40604C2semidirect
10. #40602C2semidirect
11. #39942C2semidirect
12. #39941C2semidirect
13. #38432C2semidirect
14. #38431C2semidirect
15. #37622C2semidirect
16. #37560C2semidirect
17. #37551C2semidirect
18. #37546C2semidirect
19. #37374C2semidirect
20. #37280C2semidirect
21. #37277C2semidirect
22. #37269C2semidirect
23. #35663C2semidirect
24. #35522C2semidirect
25. #35297C2semidirect
26. #35260C2semidirect
27. #35260C2semidirect
28. #35236C2semidirect
29. #35234C2semidirect
30. #35212C2semidirect
31. #35129C2semidirect
32. #35102C2semidirect
33. #34964C2semidirect
34. #34911C2semidirect
35. #34060C2semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
44. C2×#554C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
52. C2×#551C22semidirect
53. C2×#551C22semidirect
54. C2×#551C22semidirect
57. C2×#546C22semidirect
60. C2×#542C22semidirect
61. C2×#542C22semidirect
64. C2×#533C22semidirect
65. C2×#533C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
74. C22×#124C22semidirect
76. C2×#519C22semidirect
77. C2×#518C22semidirect
80. C2×C4×#41C22semidirect
81. C22×C4×D4C22semidirect
82. C22×#117C22semidirect
83. #2860C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2854C22semidirect
87. #2850C22semidirect
88. #2850C22semidirect
89. #2848C22semidirect
90. #2848C22semidirect
93. #2821C22semidirect
94. #2821C22semidirect
95. #2820C22semidirect
97. #2817C22semidirect
99. #2814C22semidirect
100. #2814C22semidirect
101. #2730C22semidirect
102. #2730C22semidirect
103. #2729C22semidirect
104. #2729C22semidirect
105. #2727C22semidirect
106. #2725C22semidirect
108. #2717C22semidirect
109. #2715C22semidirect
110. #2712C22semidirect
112. #2708C22semidirect
113. #2708C22semidirect
114. #2705C22semidirect
115. #2704C22semidirect
116. #2702C22semidirect
117. #2702C22semidirect
120. #2695C22semidirect
121. #2693C22semidirect
122. #2684C22semidirect
123. #2683C22semidirect
124. #2681C22semidirect
126. #2676C22semidirect
127. #2672C22semidirect
128. #2672C22semidirect
129. #2671C22semidirect
131. #2668C22semidirect
132. #2668C22semidirect
133. #2664C22semidirect
134. #2664C22semidirect
135. #2663C22semidirect
136. #2663C22semidirect
137. #2663C22semidirect
138. #2662C22semidirect
139. #2662C22semidirect
140. #2661C22semidirect
141. #2638C22semidirect
142. #2638C22semidirect
143. #2636C22semidirect
144. #2636C22semidirect
145. #2634C22semidirect
146. #2632C22semidirect
147. #2632C22semidirect
149. #2628C22semidirect
150. #2628C22semidirect
151. #2628C22semidirect
152. #2626C22semidirect
153. #2625C22semidirect
154. #2625C22semidirect
155. #2625C22semidirect
158. #2623C22semidirect
159. #2621C22semidirect
160. #2620C22semidirect
161. #2620C22semidirect
164. #2613C22semidirect
165. #2611C22semidirect
166. #2611C22semidirect
167. #2610C22semidirect
168. #2610C22semidirect
169. #2604C22semidirect
170. #2604C22semidirect
171. #2603C22semidirect
172. #2603C22semidirect
173. #2602C22semidirect
174. #2602C22semidirect
175. #2601C22semidirect
176. #2601C22semidirect
177. #2598C22semidirect
178. #2598C22semidirect
179. #2592C22semidirect
180. #2592C22semidirect
181. #2592C22semidirect
182. #2592C22semidirect
183. #2584C22semidirect
184. #2584C22semidirect
185. #2584C22semidirect
186. #2584C22semidirect
187. #2582C22semidirect
188. #2581C22semidirect
189. #2581C22semidirect
190. #2580C22semidirect
191. #2564C22semidirect
192. #2562C22semidirect
193. #2562C22semidirect
194. #2562C22semidirect
195. #2562C22semidirect
196. #2543C22semidirect
201. #2538C22semidirect
202. #2538C22semidirect
204. #2536C22semidirect
205. #2536C22semidirect
207. #2498C22semidirect
208. #2487C22semidirect
209. #2485C22semidirect
210. #2485C22semidirect
211. #2485C22semidirect
212. #2485C22semidirect
213. #2482C22semidirect
214. #2481C22semidirect
215. #2481C22semidirect
216. #2480C22semidirect
217. #2479C22semidirect
218. #2479C22semidirect
219. #2478C22semidirect
220. #2477C22semidirect
221. #2477C22semidirect
223. #2474C22semidirect
224. #2474C22semidirect
225. #2474C22semidirect
226. #2472C22semidirect
227. #2472C22semidirect
228. #2472C22semidirect
229. #2470C22semidirect
230. #2470C22semidirect
231. #2470C22semidirect
232. #2469C22semidirect
233. #2467C22semidirect
234. #2465C22semidirect
235. #2463C22semidirect
236. #2462C22semidirect
237. #2460C22semidirect
238. #2458C22semidirect
240. #2449C22semidirect
241. #2449C22semidirect
242. #2430C22semidirect
244. #2418C22semidirect
245. #2418C22semidirect
246. #2418C22semidirect
247. #2417C22semidirect
248. #2417C22semidirect
249. #2416C22semidirect
250. #2416C22semidirect
251. #2415C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
254. #2415C22semidirect
255. #2414C22semidirect
256. #2414C22semidirect
257. #2411C22semidirect
258. #2411C22semidirect
259. #2409C22semidirect
260. #2409C22semidirect
261. #2408C22semidirect
262. #2408C22semidirect
263. #2408C22semidirect
265. #2396C22semidirect
266. #2395C22semidirect
267. #2392C22semidirect
268. #2388C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
272. #2323C22semidirect
273. #2323C22semidirect
274. #2323C22semidirect
275. #2321C22semidirect
276. #2321C22semidirect
277. #2320C22semidirect
279. #2318C22semidirect
280. #2318C22semidirect
281. #2317C22semidirect
282. #2314C22semidirect
283. #2314C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2295C22semidirect
292. #2293C22semidirect
293. #2290C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C4⋊C4C22semidirect
462. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#34752
#421732
#421702
#419892
#419882
#414232
#414212
#406042
#406022
#399422
#399412
#384322
#384312
#376222
#375602
#375512
#375462
#373742
#372802
#372772
#372692
#356632
#355222
#352972
#352602
#352362
#352342
#352122
#351292
#351022
#349642
#349112
#340602