Finite Group Databasebeta

← #7658627

Subgroups — #7658627

Order 512.

7216 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3505C211yesmaximal, characteristic, complemented
3#42151C212yesmaximal, complemented
4#41989C212yesmaximal, complemented
5#41985C212yesmaximal, complemented
6#41955C212yesmaximal, complemented
7#41423C212yesmaximal, complemented
8#41408C212yesmaximal, complemented
9#41387C212yesmaximal, complemented
10#41368C212yesmaximal, complemented
11#40601C212yesmaximal, complemented
12#40594C212yesmaximal, complemented
13#40522C214yesmaximal, complemented
14#40506C212yesmaximal, complemented
15#40496C214yesmaximal, complemented
16#40489C212yesmaximal, complemented
17#40486C214yesmaximal, complemented
18#37559C211yesmaximal, characteristic, complemented
19#37552C211yesmaximal, characteristic, complemented
20#37552C211yesmaximal, characteristic, complemented
21#37454C211yesmaximal, characteristic, complemented
22#37450C211yesmaximal, characteristic, complemented
23#37446C211yesmaximal, characteristic, complemented
24#37446C211yesmaximal, characteristic, complemented
25#37438C211yesmaximal, characteristic, complemented
26#37437C211yesmaximal, characteristic, complemented
27#36687C211yesmaximal, characteristic, complemented
28#36652C211yesmaximal, characteristic, complemented
29C2×#2816C211yesmaximal, characteristic, complemented
30#35953C212yesmaximal, complemented
31#35906C212yesmaximal, complemented
32#35840C212yesmaximal, complemented
33#35714C214yesmaximal, complemented
34#35703C212yesmaximal, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3505—216no—
38C2×#555C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#553C2211yescharacteristic
41C2×#553C2211yescharacteristic
42C2×#553C2212yes—
43C2×#553C2212yescomplemented
44C2×#553C2211yescharacteristic, complemented
45C2×#553C2212yescomplemented
46C2×#553C2211yescharacteristic, complemented
47C2×#552C2211yescharacteristic, complemented
48C2×#552C2211yescharacteristic, complemented
49C2×#551C2212yescomplemented
50C2×#551C2212yescomplemented
51C2×#550C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic, complemented
54C2×#546C2211yescharacteristic
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic, complemented
57C2×#546C2211yescharacteristic, complemented
58C2×#546C2212yescomplemented
59C2×#546C2211yescharacteristic, complemented
60C2×D42C2212yes—
61C2×D42C2211yescharacteristic, complemented
62C2×#540C2212yes—
63C2×#539C2212yescomplemented
64C2×#538C2212yes—
65C2×#538C2212yescomplemented
66C2×#538C2212yescomplemented
67C2×#534C2212yes—
68C2×#532C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic, complemented
71C2×#529C2211yescharacteristic, complemented
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic, complemented
74C2×#525C2211yescharacteristic, complemented
75C2×#525C2211yescharacteristic, complemented
76C22×C22⋊Q8C2211yescharacteristic, complemented
77C22×#121C2211yescharacteristic
78C22×#121C2211yescharacteristic, complemented
79C22×#121C2211yescharacteristic, complemented
80C2×#518C2212yescomplemented
81C2×#518C2212yescomplemented
82C22×C4×D4C2211yescharacteristic
83#2821C2212yescomplemented
84#2820C2212yescomplemented
85#2819C2212yescomplemented
86#2818C2212yescomplemented
87#2817C2211yescharacteristic, complemented
88#2817C2211yescharacteristic, complemented
89#2816C2212yescomplemented
90#2816C2212yescomplemented
91#2816C2211yescharacteristic, complemented
92#2816C2214yescomplemented
93#2816C2212yescomplemented
94#2816C2211yescharacteristic, complemented
95#2816C2211yescharacteristic, complemented
96#2816C2211yescharacteristic, complemented
97#2816C2212yescomplemented
98#2816C2211yescharacteristic, complemented
99#2816C2211yescharacteristic, complemented
100#2816C2211yescharacteristic, complemented
101#2816C2211yescharacteristic, complemented
102#2815C2211yescharacteristic
103#2815C2211yescharacteristic
104#2815C2211yescharacteristic, complemented
105#2815C2211yescharacteristic, complemented
106#2815C2211yescharacteristic, complemented
107#2815C2211yescharacteristic, complemented
108#2814C2212yescomplemented
109#2814C2212yescomplemented
110#2813C2212yescomplemented
111#2813C2214yescomplemented
112#2813C2212yescomplemented
113#2812C2214yescomplemented
114#2727C2214yescomplemented
115#2719C2214yescomplemented
116#2712C2214yescomplemented
117#2711C2214yescomplemented
118#2709C2214yescomplemented
119#2708C2214yescomplemented
120#2705C2214yescomplemented
121#2702C2214yescomplemented
122#2701C2214yescomplemented
123#2698C2214yescomplemented
124#2697C2214yescomplemented
125#2694C2214yescomplemented
126#2685C2214yescomplemented
127#2681C2214yescomplemented
128#2681C2214yescomplemented
129#2679C2214yescomplemented
130#2678C2214yescomplemented
131#2676C2214yescomplemented
132#2673C2214yescomplemented
133#2672C2214yescomplemented
134#2671C2214yescomplemented
135#2669C2214yescomplemented
136#2669C2214yescomplemented
137#2668C2214yescomplemented
138#2664C2212yescomplemented
139#2664C2212yescomplemented
140#2663C2212yescomplemented
141#2663C2212yescomplemented
142#2662C2212yescomplemented
143#2662C2212yescomplemented
144#2661C2214yescomplemented
145#2661C2212yescomplemented
146#2661C2212yescomplemented
147#2656C2212yescomplemented
148#2656C2212yescomplemented
149#2639C2212yescomplemented
150#2639C2212yescomplemented
151#2638C2212yescomplemented
152#2638C2212yescomplemented
153#2637C2212yescomplemented
154#2637C2212yescomplemented
155#2636C2212yescomplemented
156#2636C2212yescomplemented
157#2635C2212yescomplemented
158#2635C2212yescomplemented
159#2635C2214yescomplemented
160#2635C2214yescomplemented
161#2633C2212yescomplemented
162#2631C2212yescomplemented
163#2630C2214yescomplemented
164#2630C2214yescomplemented
165#2625C2212yescomplemented
166#2624C2212yescomplemented
167#2623C2212yescomplemented
168#2623C2212yescomplemented
169#2622C2214yescomplemented
170#2621C2212yescomplemented
171#2619C2214yescomplemented
172#2619C2212yescomplemented
173#2617C2212yescomplemented
174#2617C2212yescomplemented
175#2617C2212yescomplemented
176#2617C2214yescomplemented
177#2617C2212yescomplemented
178#2616C2212yescomplemented
179#2615C2212yescomplemented
180#2613C2212yescomplemented
181#2613C2214yescomplemented
182#2613C2212yescomplemented
183#2611C2212yescomplemented
184#2611C2212yescomplemented
185#2610C2212yescomplemented
186#2610C2212yescomplemented
187#2603C2212yescomplemented
188#2603C2212yescomplemented
189#2602C2214yescomplemented
190#2602C2214yescomplemented
191#2600C2214yescomplemented
192#2599C2212yescomplemented
193#2599C2212yescomplemented
194#2598C2212yescomplemented
195#2598C2212yescomplemented
196#2592C2212yescomplemented
197#2591C2212yescomplemented
198#2583C2212yescomplemented
199#2561C2212yescomplemented
200#2559C2214yescomplemented
201#2558C2214yescomplemented
202#2554C2214yescomplemented
203#2553C2214yescomplemented
204#2543C2212yescomplemented
205#2543C2214yescomplemented
206#2543C2212yescomplemented
207#2543C2212yescomplemented
208#2543C2212yescomplemented
209#2540C2212yescomplemented
210#2539C2212yescomplemented
211#2519C2214yescomplemented
212#2504C2212yescomplemented
213#2504C2212yescomplemented
214#2498C2212yescomplemented
215#2498C2212yescomplemented
216#2487C2212yescomplemented
217#2486C2212yescomplemented
218#2482C2212yescomplemented
219#2482C2212yescomplemented
220#2479C2214yescomplemented
221#2477C2214yescomplemented
222#2476C2214yescomplemented
223#2476C2214yescomplemented
224#2474C2214yescomplemented
225#2472C2214yescomplemented
226#2472C2214yescomplemented
227#2470C2214yescomplemented
228#2467C2214yescomplemented
229#2464C2214yescomplemented
230#2463C2214yescomplemented
231#2459C2214yescomplemented
232#2455C2214yescomplemented
233#2450C2214yescomplemented
234#2449C2214yescomplemented
235#2445C2214yescomplemented
236#2444C2214yescomplemented
237#2443C2214yescomplemented
238#2433C2212yescomplemented
239#2433C2212yescomplemented
240#2430C2212yescomplemented
241#2430C2212yescomplemented
242#2428C2214yescomplemented
243#2424C2214yescomplemented
244#2424C2214yescomplemented
245#2424C2214yescomplemented
246#2424C2214yescomplemented
247#2424C2214yescomplemented
248#2424C2214yescomplemented
249#2418C2214yescomplemented
250#2418C2214yescomplemented
251#2416C2214yescomplemented
252#2415C2214yescomplemented
253#2414C2214yescomplemented
254#2410C2214yescomplemented
255#2410C2214yescomplemented
256#2410C2214yescomplemented
257#2410C2214yescomplemented
258#2409C2212yescomplemented
259#2408C2212yescomplemented
260#2407C2214yescomplemented
261#2404C2212yescomplemented
262#2404C2212yescomplemented
263#2403C2214yescomplemented
264#2398C2212yescomplemented
265#2397C2212yescomplemented
266#2395C2212yescomplemented
267#2395C2212yescomplemented
268C2×#399C2212yescomplemented
269#2392C2212yescomplemented
270#2392C2212yescomplemented
271#2392C2214yescomplemented
272C2×#398C2212yescomplemented
273#2388C2212yescomplemented
274#2388C2212yescomplemented
275#2388C2214yescomplemented
276C2×#394C2214yescomplemented
277C2×#394C2212yescomplemented
278C2×#393C2212yescomplemented
279#2364C2214yescomplemented
280#2361C2214yescomplemented
281#2358C2214yescomplemented
282#2358C2214yescomplemented
283#2357C2212yescomplemented
284#2353C2212yescomplemented
285#2353C2212yescomplemented
286#2349C2212yescomplemented
287#2344C2212yescomplemented
288#2342C2212yescomplemented
289#2342C2212yescomplemented
290D4×C22⋊C4C2212yes—
291#2319C2212yescomplemented
292#2318C2212yescomplemented
293#2318C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2280C2211yescharacteristic, complemented
297#2280C2211yescharacteristic, complemented
298C2×#381C2211yescharacteristic, complemented
299C2×#381C2211yescharacteristic, complemented
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C23×D4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2311yescharacteristic
317#555—28no—
318#554—28no—
319#553—28no—
320#553—216no—
321#553—28no—
322#553—28no—
323#553—216no—
324#553—28no—
325#553—216no—
326#552—28no—
327#552—28no—
328#551—216no—
329#551—216no—
330#550—28no—
331#548—28no—
332#548—28no—
333#546—28no—
334#546—28no—
335#546—28no—
336#546—28no—
337#546—216no—
338#546—216no—
339D42—216no—
340D42—28no—
341#540—216no—
342#539—216no—
343#538—216no—
344#538—216no—
345#538—216no—
346#534—216no—
347#532—28no—
348C2×C4⋊Q8C2311yescharacteristic
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351C2×#127C2314yes—
352#529—28no—
353#529—28no—
354#529—28no—
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×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378#525—28no—
379#525—28no—
380#525—28no—
381#525—28no—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×C22⋊Q8—28no—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×#121—28no—
419C2×#121—28no—
420C2×#121—28no—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#121C2314yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463C2×#121C2314yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×#120C2312yes—
471C2×#120C2312yes—
472C2×#120C2312yes—
473C2×#120C2312yes—
474C2×#120C2314yes—
475C2×#120C2314yes—
476C2×#120C2314yes—
477C2×#120C2314yes—
478C2×#120C2314yes—
479C2×#120C2314yes—
480C2×#120C2314yes—
481#518—216no—
482#518—216no—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×D4D4116yescomplemented
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2314yes—
515C2×C4×D4C2314yes—
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2311yescharacteristic
521C2×C4×D4C2311yescharacteristic
522C2×C4×D4C2311yescharacteristic
523C2×C4×D4C2311yescharacteristic
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2311yescharacteristic
530C2×#117C2311yescharacteristic
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2312yes—
534C2×#117C2312yes—
535C2×#117C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2311yescharacteristic
539C22×C4⋊C4C2311yescharacteristic
540C22×C4⋊C4C2311yescharacteristic
541C22×C4⋊C4C2314yes—
542C22×C4⋊C4C2311yescharacteristic
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C22⋊C4C2312yes—
549C22×C22⋊C4C2312yes—
550C22×C22⋊C4C2312yes—
551C22×C22⋊C4C2312yes—
552C22×C22⋊C4C2312yes—
553C22×C22⋊C4C2314yes—
554C22×C22⋊C4C2314yes—
555C22×C22⋊C4C2311yescharacteristic
556C22×C22⋊C4C2311yescharacteristic
557C22×C42C2311yescharacteristic
558#400C2312yes—
559#400C2312yes—
560#400C2312yes—
561#400C2312yes—
562#400C2314yes—
563#400C2314yes—
564#400C2314yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2314yes—
570#399C2314yes—
571#399C2312yes—
572#399C2312yes—
573#399C2312yes—
574#399C2312yes—
575#399C2314yes—
576#399C2314yes—
577#399C2314yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2314yes—
583#398C2314yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2314yes—
589#398C2314yes—
590#398C2314yes—
591#398C2314yes—
592#397C2312yes—
593#397C2312yes—
594#397C2314yes—
595#397C2314yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2314yes—
607#397C2314yes—
608#397C2314yes—
609#397C2314yes—
610#397C2314yes—
611#397C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2314yes—
625#394C2312yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2312yes—
631#394C2312yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2314yes—
643#394C2314yes—
644#394C2312yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#394C2314yes—
670#394C2314yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2314yes—
676#393C2314yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2314yes—
682#392C2314yes—
683#392C2312yes—
684#392C2312yes—
685#392C2314yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2314yes—
691#392C2314yes—
692#392C2314yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2314yes—
698#392C2314yes—
699#392C2312yes—
700#392C2314yes—
701#392C2314yes—
702#392C2314yes—
703#392C2312yes—
704#392C2314yes—
705#392C2314yes—
706#392C2314yes—
707#392C2314yes—
708#392C2314yes—
709#392C2314yes—
710#391C2314yes—
711#391C2314yes—
712#390C2314yes—
713#390C2314yes—
714#390C2314yes—
715#390C2314yes—
716#390C2314yes—
717#390C2314yes—
718#390C2314yes—
719#390C2314yes—
720#390C2314yes—
721#390C2314yes—
722#390C2314yes—
723#389C2314yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#389C2314yes—
728#389C2314yes—
729#389C2314yes—
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#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2314yes—
752#388C2314yes—
753#388C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
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#386C2314yes—
783#386C2314yes—
784#386C2314yes—
785#386C2314yes—
786#386C2314yes—
787#386C2314yes—
788#386C2314yes—
789#386C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#385C2314yes—
801#385C2314yes—
802#385C2314yes—
803#385C2314yes—
804#383C2312yes—
805#383C2312yes—
806#382C2312yes—
807#382C2312yes—
808#382C2314yes—
809#381C2311yescharacteristic
810#381C2311yescharacteristic
811#381C2312yes—
812#381C2312yes—
813#381C2312yes—
814#381C2311yescharacteristic
815#381C2311yescharacteristic
816#381C2314yes—
817#381C2312yes—
818#381C2312yes—
819#381C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#379C2314yes—
830#379C2312yes—
831#379C2312yes—
832#379C2314yes—
833#379C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2411yescharacteristic
859C25C2412yes—
860C25C2412yes—
861C25C2411yescharacteristic
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—82no—
868C2×#41—82no—
869C2×#41—82no—
870C2×#41—82no—
871C2×#41—84no—
872C22×Q8—24no—
873C22×Q8—82no—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—28no—
883C22×D4—24no—
884C22×D4—24no—
885C22×D4—24no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4—48no—
890C22×D4—82no—
891C22×D4—82no—
892C22×D4—82no—
893C22×D4—84no—
894C22×D4—84no—
895C22×D4C2×D418yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2411yescharacteristic
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2412yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2411yescharacteristic
934C22×D4C2411yescharacteristic
935C23×C4—82no—
936C23×C4—82no—
937C23×C4C2×D418yes—
938C23×C4C2×D418yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2414yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2412yes—
954C23×C4C2414yes—
955C23×C4C2411yescharacteristic
956C23×C4C2411yescharacteristic
957C23×C4C2411yescharacteristic
958C23×C4C2411yescharacteristic
959C23×C4C2411yescharacteristic
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2411yescharacteristic
965C23×C4C2411yescharacteristic
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C4⋊Q8—24no—
969#127—28no—
970#127—24no—
971#127—84no—
972#126—28no—
973#126—28no—
974#126—28no—
975#126—28no—
976#126—28no—
977#126—28no—
978#126—28no—
979#126—28no—
980#126—28no—
981#125—28no—
982#125—28no—
983#125—28no—
984#125—24no—
985#125—24no—
986#125—24no—
987#124—28no—
988#124—28no—
989#124—28no—
990#124—28no—
991#124—24no—
992#124—24no—
993#124—24no—
994#124—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—28no—
1009#123—28no—
1010#123—28no—
1011#123—28no—
1012#123—84no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—28no—
1016C22⋊Q8—24no—
1017C22⋊Q8—24no—
1018C22⋊Q8—28no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—24no—
1022C22⋊Q8—24no—
1023C22⋊Q8—24no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—84no—
1029C22⋊Q8—84no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—28no—
1036#121—28no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—24no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—28no—
1054#121—24no—
1055#121—24no—
1056#121—24no—
1057#121—24no—
1058#121—28no—
1059#121—28no—
1060#121—28no—
1061#121—28no—
1062#121—28no—
1063#121—28no—
1064#121—28no—
1065#121—28no—
1066#121—48no—
1067#121—48no—
1068#121—84no—
1069#121—84no—
1070#121—84no—
1071#121—84no—
1072#121—84no—
1073#120—28no—
1074#120—28no—
1075#120—28no—
1076#120—28no—
1077#120—28no—
1078#120—28no—
1079#120—28no—
1080#120—28no—
1081#120—28no—
1082#120—28no—
1083#120—48no—
1084#120—48no—
1085#120—84no—
1086#120—84no—
1087#120—84no—
1088#120—84no—
1089#120—84no—
1090C4×Q8—24no—
1091C4×Q8—24no—
1092C4×Q8—24no—
1093C4×D4—28no—
1094C4×D4—28no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—28no—
1102C4×D4—28no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—24no—
1117C4×D4—24no—
1118C4×D4—48no—
1119C4×D4—84no—
1120C4×D4—84no—
1121C4×D4—84no—
1122C4×D4C2×D418yes—
1123C4×D4C2×D418yes—
1124C4×D4C2×D418yes—
1125C4×D4C2×D418yes—
1126C4×D4C2×D418yes—
1127C4×D4C2×D418yes—
1128C4×D4C2×D418yes—
1129C4×D4C2×D418yes—
1130#117—24no—
1131#117—24no—
1132#117—24no—
1133#117—24no—
1134#117—28no—
1135#117—28no—
1136#117—28no—
1137#117—28no—
1138#117—28no—
1139#117—28no—
1140#117—82no—
1141#117—82no—
1142C2×C4⋊C4—24no—
1143C2×C4⋊C4—24no—
1144C2×C4⋊C4—24no—
1145C2×C4⋊C4—24no—
1146C2×C4⋊C4—28no—
1147C2×C4⋊C4—84no—
1148C2×C4⋊C4C2×D418yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2414yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4—28no—
1201C2×C22⋊C4—28no—
1202C2×C22⋊C4—28no—
1203C2×C22⋊C4—28no—
1204C2×C22⋊C4—28no—
1205C2×C22⋊C4—28no—
1206C2×C22⋊C4—82no—
1207C2×C22⋊C4—82no—
1208C2×C22⋊C4—84no—
1209C2×C22⋊C4—84no—
1210C2×C22⋊C4C2×D418yes—
1211C2×C22⋊C4C2×D418yes—
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⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2414yes—
1289C2×C22⋊C4C2411yescharacteristic
1290C2×C22⋊C4C2411yescharacteristic
1291C2×C22⋊C4C2411yescharacteristic
1292C2×C22⋊C4C2411yescharacteristic
1293C2×C22⋊C4C2411yescharacteristic
1294C2×C22⋊C4C2411yescharacteristic
1295C2×C22⋊C4C2411yescharacteristic
1296C2×C22⋊C4C2411yescharacteristic
1297C2×C42C2×D418yes—
1298C2×C42C2412yes—
1299C2×C42C2412yes—
1300C2×C42C2412yes—
1301C2×C42C2412yes—
1302C2×C42C2412yes—
1303C2×C42C2412yes—
1304C2×C42C2412yes—
1305C2×C42C2414yes—
1306C2×C42C2414yes—
1307C2×C42C2414yes—
1308C2×C42C2414yes—
1309C2×C42C2411yescharacteristic
1310C2×C42C2411yescharacteristic
1311C2×C42C2411yescharacteristic
1312C2×C42C2411yescharacteristic
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2412yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2414yes—
1346#95C2414yes—
1347#95C2414yes—
1348#95C2414yes—
1349C24—24no—
1350C24—24no—
1351C24—24no—
1352C24—24no—
1353C24—24no—
1354C24—24no—
1355C24—42no—
1356C24—42no—
1357C24—42no—
1358C24—42no—
1359C24—42no—
1360C24—44no—
1361C24—42no—
1362C24—42no—
1363C24—44no—
1364C24—44no—
1365C24—42no—
1366C24—42no—
1367C24—44no—
1368C24—44no—
1369C24—44no—
1370C24C22×D414yes—
1371C24C22×D414yes—
1372C24C2512yes—
1373C24C2512yes—
1374C24C2512yes—
1375C24C2512yes—
1376C24C2512yes—
1377C24C2511yescharacteristic
1378C24C2511yescharacteristic
1379C24C2511yescharacteristic
1380C24C2511yescharacteristic
1381C24C2511yescharacteristic
1382#41—816no—
1383#41—88no—
1384#41—88no—
1385#41—88no—
1386#41—88no—
1387C2×Q8—22no—
1388C2×Q8—22no—
1389C2×Q8—22no—
1390C2×Q8—24no—
1391C2×Q8—24no—
1392C2×Q8—42no—
1393C2×Q8—42no—
1394C2×Q8—42no—
1395C2×Q8—44no—
1396C2×Q8—44no—
1397C2×Q8—88no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—28no—
1410C2×D4—28no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—42no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—42no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—42no—
1463C2×D4—42no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—42no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—44no—
1477C2×D4—44no—
1478C2×D4—44no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—44no—
1482C2×D4—44no—
1483C2×D4—416no—
1484C2×D4—432no—
1485C2×D4—432no—
1486C2×D4—88no—
1487C2×D4—88no—
1488C2×D4—88no—
1489C2×D4—816no—
1490C2×D4—816no—
1491C2×D4C22×D414yes—
1492C2×D4C22×D414yes—
1493C2×D4C22×D414yes—
1494C2×D4C22×D414yes—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—28no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—24no—
1508C22×C4—24no—
1509C22×C4—24no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—44no—
1525C22×C4—42no—
1526C22×C4—44no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—42no—
1531C22×C4—44no—
1532C22×C4—42no—
1533C22×C4—42no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—42no—
1539C22×C4—44no—
1540C22×C4—42no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—44no—
1544C22×C4—44no—
1545C22×C4—44no—
1546C22×C4—88no—
1547C22×C4—88no—
1548C22×C4C22×D414yes—
1549C22×C4C22×D414yes—
1550C22×C4C22×D414yes—
1551C22×C4C22×D414yes—
1552C22×C4C22×D414yes—
1553C22×C4C22×D414yes—
1554C22×C4C22×D414yes—
1555C22×C4C22×D414yes—
1556C22×C4C22×D414yes—
1557C22×C4C22×D414yes—
1558C22×C4C22×D414yes—
1559C22×C4C22×D414yes—
1560C22×C4C22×D414yes—
1561C22×C4C2514yes—
1562C22×C4C2514yes—
1563C22×C4C2514yes—
1564C22×C4C2514yes—
1565C22×C4C2512yes—
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2511yescharacteristic
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C22×C4C2511yescharacteristic
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—22no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—22no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—44no—
1627C4⋊C4—44no—
1628C4⋊C4—44no—
1629C4⋊C4—44no—
1630C4⋊C4—44no—
1631C4⋊C4C22×D414yes—
1632C4⋊C4C22×D414yes—
1633C4⋊C4C22×D414yes—
1634C4⋊C4C22×D414yes—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—44no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4C22×D414yes—
1713C22⋊C4C22×D414yes—
1714C22⋊C4C22×D414yes—
1715C22⋊C4C22×D414yes—
1716C22⋊C4C22×D414yes—
1717C22⋊C4C22×D414yes—
1718C22⋊C4C22×D414yes—
1719C22⋊C4C22×D414yes—
1720C42—24no—
1721C42—24no—
1722C42—24no—
1723C42—24no—
1724C42—24no—
1725C42—24no—
1726C42—24no—
1727C42—44no—
1728C42—44no—
1729C42—44no—
1730C42—44no—
1731C42C22×D414yes—
1732C42C22×D414yes—
1733C42C22×D414yes—
1734C42C22×D414yes—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—28no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—24no—
1762C23—24no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—24no—
1768C23—24no—
1769C23—24no—
1770C23—24no—
1771C23—24no—
1772C23—24no—
1773C23—24no—
1774C23—24no—
1775C23—44no—
1776C23—44no—
1777C23—44no—
1778C23—44no—
1779C23—44no—
1780C23—48no—
1781C23—48no—
1782C23—48no—
1783C23—88no—
1784C23—84no—
1785C23—84no—
1786C23—84no—
1787C23—84no—
1788C23—84no—
1789C23—88no—
1790C23—88no—
1791C23—84no—
1792C23—88no—
1793C23—164no—
1794C23—164no—
1795C23—164no—
1796C23—164no—
1797C23C23×D412yes—
1798C23C23×D412yes—
1799C23C23×D412yes—
1800C23C23×D412yes—
1801C23C23×D412yes—
1802C23#58514yes—
1803C23C2611yescharacteristic
1804Q8—44no—
1805Q8—44no—
1806Q8—44no—
1807Q8—84no—
1808Q8—84no—
1809D4—28no—
1810D4—28no—
1811D4—44no—
1812D4—44no—
1813D4—48no—
1814D4—44no—
1815D4—44no—
1816D4—44no—
1817D4—44no—
1818D4—44no—
1819D4—48no—
1820D4—48no—
1821D4—48no—
1822D4—48no—
1823D4—48no—
1824D4—48no—
1825D4—48no—
1826D4—48no—
1827D4—48no—
1828D4—84no—
1829D4—84no—
1830D4—84no—
1831D4—84no—
1832D4—84no—
1833D4—84no—
1834D4—84no—
1835D4—84no—
1836D4—84no—
1837D4—84no—
1838D4—84no—
1839D4—84no—
1840D4—84no—
1841D4—84no—
1842D4—88no—
1843D4—88no—
1844D4—88no—
1845D4—164no—
1846D4—164no—
1847D4—164no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—24no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—24no—
1878C2×C4—24no—
1879C2×C4—24no—
1880C2×C4—24no—
1881C2×C4—24no—
1882C2×C4—24no—
1883C2×C4—22no—
1884C2×C4—24no—
1885C2×C4—22no—
1886C2×C4—24no—
1887C2×C4—24no—
1888C2×C4—24no—
1889C2×C4—22no—
1890C2×C4—24no—
1891C2×C4—24no—
1892C2×C4—24no—
1893C2×C4—24no—
1894C2×C4—22no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—48no—
1909C2×C4—48no—
1910C2×C4—84no—
1911C2×C4—84no—
1912C2×C4—84no—
1913C2×C4—84no—
1914C2×C4—84no—
1915C2×C4—84no—
1916C2×C4—84no—
1917C2×C4—84no—
1918C2×C4—88no—
1919C2×C4—84no—
1920C2×C4—84no—
1921C2×C4—84no—
1922C2×C4—84no—
1923C2×C4—164no—
1924C2×C4C23×D412yes—
1925C2×C4C23×D412yes—
1926C2×C4C23×D412yes—
1927C2×C4C23×D412yes—
1928C2×C4C23×D412yes—
1929C2×C4C23×D412yes—
1930C2×C4C23×D412yes—
1931C2×C4C23×D412yes—
1932C2×C4C23×D412yes—
1933C2×C4C23×D412yes—
1934C22—28no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—22no—
1939C22—22no—
1940C22—22no—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—22no—
1948C22—22no—
1949C22—44no—
1950C22—44no—
1951C22—44no—
1952C22—44no—
1953C22—44no—
1954C22—44no—
1955C22—44no—
1956C22—44no—
1957C22—44no—
1958C22—44no—
1959C22—44no—
1960C22—44no—
1961C22—44no—
1962C22—44no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—88no—
1979C22—88no—
1980C22—168no—
1981C22—168no—
1982C22—168no—
1983C22#344914yes—
1984C22C24×D411yescharacteristic
1985C22C2×#58512yes—
1986C22H(7,𝔽2)12yes—
1987C22H(7,𝔽2)12yes—
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—44no—
1999C4—44no—
2000C4—44no—
2001C4—44no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C2—24no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—82no—
2019C2—82no—
2020C2—82no—
2021C2—82no—
2022C2—82no—
2023C2C2×#344911yescharacteristic
2024C2#6284211yescharacteristic
2025C2#6285211yescharacteristic
2026C2#6305514yes—
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×#3519C2semidirect
2. C2×#3505C2semidirect
3. #42151C2semidirect
4. #41989C2semidirect
5. #41985C2semidirect
6. #41955C2semidirect
7. #41423C2semidirect
8. #41408C2semidirect
9. #41387C2semidirect
10. #41368C2semidirect
11. #40601C2semidirect
12. #40594C2semidirect
13. #40522C2semidirect
14. #40506C2semidirect
15. #40496C2semidirect
16. #40489C2semidirect
17. #40486C2semidirect
18. #37559C2semidirect
19. #37552C2semidirect
20. #37552C2semidirect
21. #37454C2semidirect
22. #37450C2semidirect
23. #37446C2semidirect
24. #37446C2semidirect
25. #37438C2semidirect
26. #37437C2semidirect
27. #36687C2semidirect
28. #36652C2semidirect
29. C2×#2816C2semidirect
30. #35953C2semidirect
31. #35906C2semidirect
32. #35840C2semidirect
33. #35714C2semidirect
34. #35703C2semidirect
35. #34190C2semidirect
39. C2×#554C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
49. C2×#551C22semidirect
50. C2×#551C22semidirect
53. C2×#548C22semidirect
56. C2×#546C22semidirect
57. C2×#546C22semidirect
58. C2×#546C22semidirect
59. C2×#546C22semidirect
61. C2×D42C22semidirect
63. C2×#539C22semidirect
65. C2×#538C22semidirect
66. C2×#538C22semidirect
68. C2×#532C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
73. C2×#525C22semidirect
74. C2×#525C22semidirect
75. C2×#525C22semidirect
76. C22×C22⋊Q8C22semidirect
78. C22×#121C22semidirect
79. C22×#121C22semidirect
80. C2×#518C22semidirect
81. C2×#518C22semidirect
83. #2821C22semidirect
84. #2820C22semidirect
85. #2819C22semidirect
86. #2818C22semidirect
87. #2817C22semidirect
88. #2817C22semidirect
89. #2816C22semidirect
90. #2816C22semidirect
91. #2816C22semidirect
92. #2816C22semidirect
93. #2816C22semidirect
94. #2816C22semidirect
95. #2816C22semidirect
96. #2816C22semidirect
97. #2816C22semidirect
98. #2816C22semidirect
99. #2816C22semidirect
100. #2816C22semidirect
101. #2816C22semidirect
104. #2815C22semidirect
105. #2815C22semidirect
106. #2815C22semidirect
107. #2815C22semidirect
108. #2814C22semidirect
109. #2814C22semidirect
110. #2813C22semidirect
111. #2813C22semidirect
112. #2813C22semidirect
113. #2812C22semidirect
114. #2727C22semidirect
115. #2719C22semidirect
116. #2712C22semidirect
117. #2711C22semidirect
118. #2709C22semidirect
119. #2708C22semidirect
120. #2705C22semidirect
121. #2702C22semidirect
122. #2701C22semidirect
123. #2698C22semidirect
124. #2697C22semidirect
125. #2694C22semidirect
126. #2685C22semidirect
127. #2681C22semidirect
128. #2681C22semidirect
129. #2679C22semidirect
130. #2678C22semidirect
131. #2676C22semidirect
132. #2673C22semidirect
133. #2672C22semidirect
134. #2671C22semidirect
135. #2669C22semidirect
136. #2669C22semidirect
137. #2668C22semidirect
138. #2664C22semidirect
139. #2664C22semidirect
140. #2663C22semidirect
141. #2663C22semidirect
142. #2662C22semidirect
143. #2662C22semidirect
144. #2661C22semidirect
145. #2661C22semidirect
146. #2661C22semidirect
147. #2656C22semidirect
148. #2656C22semidirect
149. #2639C22semidirect
150. #2639C22semidirect
151. #2638C22semidirect
152. #2638C22semidirect
153. #2637C22semidirect
154. #2637C22semidirect
155. #2636C22semidirect
156. #2636C22semidirect
157. #2635C22semidirect
158. #2635C22semidirect
159. #2635C22semidirect
160. #2635C22semidirect
161. #2633C22semidirect
162. #2631C22semidirect
163. #2630C22semidirect
164. #2630C22semidirect
165. #2625C22semidirect
166. #2624C22semidirect
167. #2623C22semidirect
168. #2623C22semidirect
169. #2622C22semidirect
170. #2621C22semidirect
171. #2619C22semidirect
172. #2619C22semidirect
173. #2617C22semidirect
174. #2617C22semidirect
175. #2617C22semidirect
176. #2617C22semidirect
177. #2617C22semidirect
178. #2616C22semidirect
179. #2615C22semidirect
180. #2613C22semidirect
181. #2613C22semidirect
182. #2613C22semidirect
183. #2611C22semidirect
184. #2611C22semidirect
185. #2610C22semidirect
186. #2610C22semidirect
187. #2603C22semidirect
188. #2603C22semidirect
189. #2602C22semidirect
190. #2602C22semidirect
191. #2600C22semidirect
192. #2599C22semidirect
193. #2599C22semidirect
194. #2598C22semidirect
195. #2598C22semidirect
196. #2592C22semidirect
197. #2591C22semidirect
198. #2583C22semidirect
199. #2561C22semidirect
200. #2559C22semidirect
201. #2558C22semidirect
202. #2554C22semidirect
203. #2553C22semidirect
204. #2543C22semidirect
205. #2543C22semidirect
206. #2543C22semidirect
207. #2543C22semidirect
208. #2543C22semidirect
209. #2540C22semidirect
210. #2539C22semidirect
211. #2519C22semidirect
212. #2504C22semidirect
213. #2504C22semidirect
214. #2498C22semidirect
215. #2498C22semidirect
216. #2487C22semidirect
217. #2486C22semidirect
218. #2482C22semidirect
219. #2482C22semidirect
220. #2479C22semidirect
221. #2477C22semidirect
222. #2476C22semidirect
223. #2476C22semidirect
224. #2474C22semidirect
225. #2472C22semidirect
226. #2472C22semidirect
227. #2470C22semidirect
228. #2467C22semidirect
229. #2464C22semidirect
230. #2463C22semidirect
231. #2459C22semidirect
232. #2455C22semidirect
233. #2450C22semidirect
234. #2449C22semidirect
235. #2445C22semidirect
236. #2444C22semidirect
237. #2443C22semidirect
238. #2433C22semidirect
239. #2433C22semidirect
240. #2430C22semidirect
241. #2430C22semidirect
242. #2428C22semidirect
243. #2424C22semidirect
244. #2424C22semidirect
245. #2424C22semidirect
246. #2424C22semidirect
247. #2424C22semidirect
248. #2424C22semidirect
249. #2418C22semidirect
250. #2418C22semidirect
251. #2416C22semidirect
252. #2415C22semidirect
253. #2414C22semidirect
254. #2410C22semidirect
255. #2410C22semidirect
256. #2410C22semidirect
257. #2410C22semidirect
258. #2409C22semidirect
259. #2408C22semidirect
260. #2407C22semidirect
261. #2404C22semidirect
262. #2404C22semidirect
263. #2403C22semidirect
264. #2398C22semidirect
265. #2397C22semidirect
266. #2395C22semidirect
267. #2395C22semidirect
268. C2×#399C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. C2×#398C22semidirect
273. #2388C22semidirect
274. #2388C22semidirect
275. #2388C22semidirect
276. C2×#394C22semidirect
277. C2×#394C22semidirect
278. C2×#393C22semidirect
279. #2364C22semidirect
280. #2361C22semidirect
281. #2358C22semidirect
282. #2358C22semidirect
283. #2357C22semidirect
284. #2353C22semidirect
285. #2353C22semidirect
286. #2349C22semidirect
287. #2344C22semidirect
288. #2342C22semidirect
289. #2342C22semidirect
291. #2319C22semidirect
292. #2318C22semidirect
293. #2318C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
296. #2280C22semidirect
297. #2280C22semidirect
298. C2×#381C22semidirect
299. C2×#381C22semidirect
300. #2275C22semidirect
486. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#35052
#421512
#419892
#419852
#419552
#414232
#414082
#413872
#413682
#406012
#405942
#405222
#405062
#404962
#404892
#404862
#375592
#375522
#374542
#374502
#374462
#374382
#374372
#366872
#366522
C2×#28162
#359532
#359062
#358402
#357142
#357032
#341902