Finite Group Databasebeta

← #7651313

Subgroups — #7651313

Order 512.

8179 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3511C211yesmaximal, characteristic, complemented
3#42995C212yesmaximal, complemented
4#42911C212yesmaximal, complemented
5#42805C212yesmaximal, complemented
6#42788C212yesmaximal, complemented
7#42648C212yesmaximal, complemented
8#42443C212yesmaximal, complemented
9#42434C212yesmaximal, complemented
10#42421C212yesmaximal, complemented
11#41413C214yesmaximal, complemented
12#40593C214yesmaximal, complemented
13#39886C212yesmaximal, complemented
14#39876C212yesmaximal, complemented
15#39863C212yesmaximal, complemented
16#39854C212yesmaximal, complemented
17#39596C212yesmaximal, complemented
18#39594C212yesmaximal, complemented
19#39471C212yesmaximal, complemented
20#38905C212yesmaximal, complemented
21#38423C214yesmaximal, complemented
22#38079C214yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35634C211yesmaximal, characteristic, complemented
26#35621C211yesmaximal, characteristic, complemented
27#35592C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#35308C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35166C211yesmaximal, characteristic, complemented
32C2×#2492C211yesmaximal, characteristic, complemented
33#34743C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35#34252C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3511—216no—
39#3489—216no—
40C2×#556C2212yescomplemented
41C2×#555C2212yescomplemented
42C2×#554C2212yescomplemented
43C2×#553C2214yescomplemented
44C2×D4×Q8C2212yes—
45C2×#548C2212yes—
46C2×#548C2214yescomplemented
47C2×#547C2212yes—
48C2×#547C2214yes—
49C2×#547C2212yescomplemented
50C2×#546C2214yes—
51C2×#546C2212yes—
52C2×#542C2212yescomplemented
53C2×#542C2212yescomplemented
54C2×#537C2211yescharacteristic
55C2×#537C2211yescharacteristic
56C2×#537C2212yes—
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic, complemented
59C2×#537C2211yescharacteristic, complemented
60C2×#536C2211yescharacteristic
61C2×#536C2212yes—
62C2×#536C2211yescharacteristic, complemented
63C2×#536C2211yescharacteristic, complemented
64C2×#533C2212yescomplemented
65C2×#532C2211yescharacteristic
66C2×#532C2211yescharacteristic
67C2×#532C2212yescomplemented
68C2×#532C2211yescharacteristic, complemented
69C22×C4⋊Q8C2211yescharacteristic, complemented
70C2×#525C2211yescharacteristic
71C2×#525C2212yes—
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic
74C22×C22⋊Q8C2211yescharacteristic
75C22×C22⋊Q8C2212yes—
76C2×#520C2211yescharacteristic
77C2×#520C2211yescharacteristic, complemented
78C2×C4×#41C2211yescharacteristic, complemented
79#2857C2212yescomplemented
80#2856C2214yescomplemented
81#2850C2212yescomplemented
82#2848C2212yes—
83#2847C2212yes—
84#2821C2214yescomplemented
85#2819C2214yescomplemented
86#2816C2214yescomplemented
87#2813C2214yescomplemented
88#2720C2214yes—
89#2720C2214yescomplemented
90#2720C2214yescomplemented
91#2718C2214yescomplemented
92#2718C2214yescomplemented
93#2718C2214yescomplemented
94#2711C2214yescomplemented
95#2710C2214yescomplemented
96#2710C2214yescomplemented
97#2710C2214yescomplemented
98#2710C2214yescomplemented
99#2710C2214yescomplemented
100#2710C2214yescomplemented
101#2703C2214yescomplemented
102#2703C2214yescomplemented
103#2703C2214yescomplemented
104#2696C2214yes—
105#2696C2214yescomplemented
106#2696C2214yescomplemented
107#2692C2214yes—
108#2692C2214yes—
109#2692C2214yescomplemented
110#2692C2214yescomplemented
111#2692C2214yescomplemented
112#2692C2214yescomplemented
113#2685C2214yes—
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2673C2214yescomplemented
117#2670C2214yes—
118#2670C2214yes—
119#2669C2214yes—
120#2662C2214yescomplemented
121#2661C2214yescomplemented
122#2656C2214yescomplemented
123#2640C2214yescomplemented
124#2636C2214yescomplemented
125#2635C2214yescomplemented
126#2632C2214yescomplemented
127#2631C2214yes—
128#2628C2214yescomplemented
129#2626C2214yes—
130#2623C2214yescomplemented
131#2621C2212yescomplemented
132#2620C2212yescomplemented
133#2620C2214yescomplemented
134#2616C2212yes—
135#2615C2212yes—
136#2615C2214yescomplemented
137#2610C2214yescomplemented
138#2603C2214yes—
139#2598C2214yescomplemented
140#2591C2214yescomplemented
141#2580C2214yes—
142#2567C2214yescomplemented
143#2547C2212yescomplemented
144#2546C2212yescomplemented
145#2545C2212yescomplemented
146#2544C2212yescomplemented
147#2544C2214yescomplemented
148#2542C2212yes—
149#2542C2212yes—
150#2542C2212yescomplemented
151#2542C2212yescomplemented
152#2542C2212yescomplemented
153#2542C2212yescomplemented
154#2541C2212yescomplemented
155#2541C2212yescomplemented
156#2540C2212yes—
157#2540C2212yes—
158#2540C2212yescomplemented
159#2540C2212yescomplemented
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2540C2212yescomplemented
163#2540C2212yescomplemented
164#2539C2214yes—
165#2538C2212yes—
166#2537C2212yescomplemented
167#2536C2212yescomplemented
168#2535C2212yes—
169#2502C2214yescomplemented
170#2501C2214yescomplemented
171#2492C2212yes—
172#2492C2212yes—
173#2492C2212yes—
174#2492C2212yes—
175#2492C2212yescomplemented
176#2492C2212yescomplemented
177#2492C2212yescomplemented
178#2492C2212yescomplemented
179#2492C2212yescomplemented
180#2492C2212yescomplemented
181#2492C2212yescomplemented
182#2492C2212yescomplemented
183#2491C2212yescomplemented
184#2491C2212yescomplemented
185#2491C2212yescomplemented
186#2491C2212yescomplemented
187#2487C2214yescomplemented
188#2436C2211yescharacteristic
189#2436C2214yescomplemented
190#2436C2212yescomplemented
191#2436C2212yescomplemented
192#2435C2211yescharacteristic
193#2434C2211yescharacteristic
194#2434C2212yescomplemented
195#2434C2212yescomplemented
196#2433C2211yescharacteristic
197#2432C2211yescharacteristic
198#2432C2211yescharacteristic
199#2432C2212yescomplemented
200#2432C2212yescomplemented
201#2431C2211yescharacteristic
202#2431C2211yescharacteristic
203#2431C2212yescomplemented
204#2431C2212yescomplemented
205#2431C2214yescomplemented
206#2430C2212yes—
207#2430C2212yes—
208#2430C2214yes—
209#2430C2214yescomplemented
210#2430C2214yescomplemented
211#2430C2214yescomplemented
212#2430C2214yescomplemented
213#2429C2211yescharacteristic
214#2429C2211yescharacteristic, complemented
215#2429C2212yescomplemented
216#2429C2212yescomplemented
217#2428C2211yescharacteristic
218#2428C2211yescharacteristic, complemented
219#2427C2211yescharacteristic
220#2427C2212yescomplemented
221#2427C2211yescharacteristic, complemented
222#2427C2212yescomplemented
223#2426C2211yescharacteristic
224#2426C2211yescharacteristic, complemented
225#2425C2214yescomplemented
226#2425C2214yescomplemented
227#2425C2214yescomplemented
228#2425C2214yescomplemented
229#2425C2212yescomplemented
230#2425C2212yescomplemented
231#2425C2214yescomplemented
232#2424C2212yes—
233#2424C2214yes—
234#2424C2212yes—
235#2417C2212yes—
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2416C2212yescomplemented
239#2415C2212yescomplemented
240#2415C2212yescomplemented
241#2415C2212yescomplemented
242#2414C2212yes—
243#2414C2214yescomplemented
244#2411C2214yes—
245#2410C2212yes—
246#2410C2214yes—
247#2410C2212yes—
248#2409C2212yes—
249#2409C2212yescomplemented
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2404C2214yes—
261C2×#400C2212yescomplemented
262#2392C2212yes—
263#2392C2212yescomplemented
264#2388C2212yes—
265#2388C2212yes—
266C2×#393C2212yes—
267#2357C2212yescomplemented
268#2356C2212yescomplemented
269#2355C2212yescomplemented
270#2354C2212yescomplemented
271#2347C2212yescomplemented
272#2346C2212yescomplemented
273#2345C2212yescomplemented
274#2344C2212yescomplemented
275#2326C2214yescomplemented
276#2324C2214yes—
277#2321C2214yes—
278#2318C2214yescomplemented
279#2317C2211yescharacteristic, complemented
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic, complemented
283#2311C2214yescomplemented
284C4×#121C2212yes—
285C4×#121C2212yescomplemented
286C4×#120C2212yes—
287C4×#120C2212yes—
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2297C2211yescharacteristic, complemented
291#2296C2211yescharacteristic, complemented
292C2×#391C2211yescharacteristic, complemented
293C2×#391C2211yescharacteristic, complemented
294C2×#391C2212yescomplemented
295#2290C2214yescomplemented
296C2×#388C2212yes—
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—44no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—44no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2312yes—
316C22×#41C2312yes—
317C22×#41C2312yes—
318C22×#41C2314yes—
319C22×#41C2314yes—
320C23×Q8C2311yescharacteristic
321C23×Q8C2311yescharacteristic
322C23×Q8C2312yes—
323C23×Q8C2312yes—
324C23×Q8C2312yes—
325C23×D4C2311yescharacteristic
326C23×D4C2312yes—
327C24×C4C2311yescharacteristic
328C24×C4C2312yes—
329#556—216no—
330#555—216no—
331#554—216no—
332#553—232no—
333D4×Q8—216no—
334#548—216no—
335#548—232no—
336#547—216no—
337#547—232no—
338#547—216no—
339#546—216no—
340#546—232no—
341#542—216no—
342#542—216no—
343#537—28no—
344#537—28no—
345#537—216no—
346#537—28no—
347#537—44no—
348#537—44no—
349#536—28no—
350#536—216no—
351#536—44no—
352#536—44no—
353#533—216no—
354#532—28no—
355#532—216no—
356#532—44no—
357#532—44no—
358C2×C4⋊Q8—28no—
359C2×C4⋊Q8C2314yes—
360C2×C4⋊Q8C2312yes—
361C2×C4⋊Q8C2312yes—
362C2×C4⋊Q8C2312yes—
363C2×C4⋊Q8C2312yes—
364C2×C4⋊Q8C2312yes—
365C2×C4⋊Q8C2311yescharacteristic
366C2×C4⋊Q8C2311yescharacteristic
367C2×C4⋊Q8C2311yescharacteristic
368C2×C4⋊Q8C2312yes—
369C2×C4⋊Q8C2312yes—
370C2×#127C2311yescharacteristic
371C2×#127C2311yescharacteristic
372C2×#127C2311yescharacteristic
373C2×#127C2314yes—
374C2×#126C2314yes—
375C2×#126C2314yes—
376C2×#125C2314yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2314yes—
385C2×#124C2311yescharacteristic
386C2×#124C2311yescharacteristic
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2314yes—
392#525—28no—
393#525—216no—
394#525—44no—
395#525—44no—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2314yes—
406C2×#123C2314yes—
407C2×C22⋊Q8—28no—
408C2×C22⋊Q8—216no—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2312yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2314yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2314yes—
465C2×#121C2314yes—
466C2×#121C2311yescharacteristic
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2311yescharacteristic
472C2×#121C2311yescharacteristic
473C2×#121C2312yes—
474C2×#121C2314yes—
475C2×#120C2312yes—
476C2×#120C2314yes—
477C2×#120C2312yes—
478C2×#120C2312yes—
479C2×#120C2312yes—
480C2×#120C2312yes—
481C2×#120C2314yes—
482#520—28no—
483#520D4116yescomplemented
484C4×#41—28no—
485C2×C4×Q8C2314yes—
486C2×C4×Q8C2311yescharacteristic
487C2×C4×Q8C2311yescharacteristic
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2314yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2314yes—
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C4⋊C4C2314yes—
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2311yescharacteristic
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2311yescharacteristic
532C22×C22⋊C4C2311yescharacteristic
533C22×C22⋊C4C2312yes—
534C22×C42C2312yes—
535C22×C42C2311yescharacteristic
536C22×C42C2311yescharacteristic
537C22×C42C2312yes—
538#400C2314yes—
539#400C2314yes—
540#400C2314yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#399C2314yes—
552#399C2314yes—
553#399C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#398C2312yes—
560#398C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#396C2314yes—
569#396C2312yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2312yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2312yes—
578#395C2314yes—
579#395C2314yes—
580#395C2312yes—
581#395C2314yes—
582#395C2314yes—
583#395C2314yes—
584#395C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2312yes—
598#394C2312yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2312yes—
619#393C2314yes—
620#393C2314yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2314yes—
626#393C2314yes—
627#393C2312yes—
628#392C2312yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2312yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2312yes—
641#392C2314yes—
642#392C2312yes—
643#392C2314yes—
644#392C2314yes—
645#392C2312yes—
646#392C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2314yes—
650#391C2312yes—
651#391C2312yes—
652#391C2314yes—
653#391C2314yes—
654#391C2312yes—
655#391C2314yes—
656#391C2312yes—
657#391C2311yescharacteristic
658#391C2311yescharacteristic
659#391C2311yescharacteristic
660#391C2312yes—
661#391C2314yes—
662#391C2311yescharacteristic
663#391C2314yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2311yescharacteristic
669#391C2311yescharacteristic
670#391C2312yes—
671#391C2312yes—
672#391C2314yes—
673#390C2312yes—
674#390C2312yes—
675#390C2314yes—
676#390C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2312yes—
684#390C2314yes—
685#390C2311yescharacteristic
686#390C2314yes—
687#390C2314yes—
688#390C2311yescharacteristic
689#390C2314yes—
690#390C2311yescharacteristic
691#390C2311yescharacteristic
692#390C2314yes—
693#390C2314yes—
694#390C2311yescharacteristic
695#390C2311yescharacteristic
696#390C2312yes—
697#389C2312yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2312yes—
702#389C2312yes—
703#389C2314yes—
704#389C2311yescharacteristic
705#389C2311yescharacteristic
706#389C2314yes—
707#389C2311yescharacteristic
708#389C2311yescharacteristic
709#389C2312yes—
710#388C2314yes—
711#388C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2312yes—
730#388C2312yes—
731#388C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2314yes—
756#386C2312yes—
757#386C2314yes—
758#386C2312yes—
759#386C2314yes—
760#386C2312yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2312yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#385C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2312yes—
776#385C2314yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#385C2312yes—
792#384C2314yes—
793#384C2314yes—
794#384C2312yes—
795#384C2314yes—
796#383C2314yes—
797#382C2314yes—
798#382C2312yes—
799#381C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#379C2314yes—
819#379C2312yes—
820#379C2312yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2311yescharacteristic
848#376C2314yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2311yescharacteristic
856C2×#95C2312yes—
857C25C2411yescharacteristic
858C25C2412yes—
8592−1+4—464no—
860C2×#41—24no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—24no—
869C2×#41—28no—
870C2×#41—24no—
871C2×#41—216no—
872C2×#41—24no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—24no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—24no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41—44no—
886C2×#41—48no—
887C2×#41—48no—
888C2×#41—42no—
889C2×#41—42no—
890C2×#41—42no—
891C2×#41—42no—
892C2×#41—44no—
893C2×#41—44no—
894C2×#41—44no—
895C2×#41—44no—
896C2×#41—48no—
897C2×#41—464no—
898C2×#41—84no—
899C2×#41C2×D418yes—
900C22×Q8—28no—
901C22×Q8—24no—
902C22×Q8—28no—
903C22×Q8—24no—
904C22×Q8—28no—
905C22×Q8—24no—
906C22×Q8—24no—
907C22×Q8—42no—
908C22×Q8—42no—
909C22×Q8—44no—
910C22×Q8—44no—
911C22×Q8—44no—
912C22×Q8—44no—
913C22×Q8—44no—
914C22×Q8—82no—
915C22×Q8C2411yescharacteristic
916C22×Q8C2411yescharacteristic
917C22×Q8C2412yes—
918C22×Q8C2411yescharacteristic
919C22×Q8C2412yes—
920C22×Q8C2411yescharacteristic
921C22×Q8C2414yes—
922C22×Q8C2411yescharacteristic
923C22×Q8C2414yes—
924C22×Q8C2414yes—
925C22×Q8C2412yes—
926C22×D4—28no—
927C22×D4—24no—
928C22×D4—42no—
929C22×D4—42no—
930C22×D4—44no—
931C22×D4—44no—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2411yescharacteristic
935C22×D4C2411yescharacteristic
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2411yescharacteristic
939C22×D4C2411yescharacteristic
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2411yescharacteristic
945C22×D4C2412yes—
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2414yes—
949C22×D4C2412yes—
950C22×D4C2412yes—
951C22×D4C2414yes—
952C22×D4C2414yes—
953C22×D4C2414yes—
954C22×D4C2412yes—
955C22×D4C2412yes—
956C22×D4C2412yes—
957C22×D4C2412yes—
958C22×D4C2412yes—
959C22×D4C2412yes—
960C22×D4C2412yes—
961C22×D4C2414yes—
962C22×D4C2414yes—
963C23×C4—28no—
964C23×C4—24no—
965C23×C4—24no—
966C23×C4—24no—
967C23×C4—44no—
968C23×C4—44no—
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971C23×C4C2412yes—
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2411yescharacteristic
975C23×C4C2411yescharacteristic
976C23×C4C2411yescharacteristic
977C23×C4C2411yescharacteristic
978C23×C4C2412yes—
979C23×C4C2411yescharacteristic
980C23×C4C2411yescharacteristic
981C23×C4C2411yescharacteristic
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2414yes—
988C23×C4C2411yescharacteristic
989C23×C4C2412yes—
990C23×C4C2414yes—
991C23×C4C2414yes—
992C23×C4C2412yes—
993C23×C4C2412yes—
994C23×C4C2412yes—
995C23×C4C2414yes—
996C23×C4C2411yescharacteristic
997C4⋊Q8—24no—
998C4⋊Q8—28no—
999C4⋊Q8—28no—
1000C4⋊Q8—28no—
1001C4⋊Q8—28no—
1002C4⋊Q8—28no—
1003C4⋊Q8—216no—
1004C4⋊Q8—42no—
1005C4⋊Q8—42no—
1006C4⋊Q8—44no—
1007C4⋊Q8—44no—
1008#127—24no—
1009#127—42no—
1010#127—42no—
1011#127—84no—
1012#126—216no—
1013#126—216no—
1014#125—216no—
1015#124—24no—
1016#124—24no—
1017#124—216no—
1018#124—216no—
1019#124—28no—
1020#124—216no—
1021#124—216no—
1022#124—42no—
1023#124—42no—
1024#124—42no—
1025#124—42no—
1026#124—44no—
1027#124—44no—
1028#124—48no—
1029#124—84no—
1030#123—216no—
1031#123—216no—
1032#123—28no—
1033#123—216no—
1034#123—216no—
1035#123—216no—
1036#123—216no—
1037#123—44no—
1038#123—44no—
1039#123—48no—
1040#123—48no—
1041C22⋊Q8—28no—
1042C22⋊Q8—28no—
1043C22⋊Q8—216no—
1044C22⋊Q8—24no—
1045C22⋊Q8—28no—
1046C22⋊Q8—28no—
1047C22⋊Q8—28no—
1048C22⋊Q8—28no—
1049C22⋊Q8—28no—
1050C22⋊Q8—216no—
1051C22⋊Q8—28no—
1052C22⋊Q8—216no—
1053C22⋊Q8—24no—
1054C22⋊Q8—28no—
1055C22⋊Q8—28no—
1056C22⋊Q8—216no—
1057C22⋊Q8—28no—
1058C22⋊Q8—216no—
1059C22⋊Q8—28no—
1060C22⋊Q8—216no—
1061C22⋊Q8—42no—
1062C22⋊Q8—42no—
1063C22⋊Q8—42no—
1064C22⋊Q8—42no—
1065C22⋊Q8—44no—
1066C22⋊Q8—44no—
1067C22⋊Q8—44no—
1068C22⋊Q8—44no—
1069C22⋊Q8—44no—
1070C22⋊Q8—44no—
1071C22⋊Q8—44no—
1072C22⋊Q8—44no—
1073#121—28no—
1074#121—28no—
1075#121—28no—
1076#121—216no—
1077#121—216no—
1078#121—216no—
1079#121—216no—
1080#121—28no—
1081#121—216no—
1082#121—24no—
1083#121—24no—
1084#121—28no—
1085#121—28no—
1086#121—28no—
1087#121—216no—
1088#121—28no—
1089#121—216no—
1090#121—28no—
1091#121—44no—
1092#121—42no—
1093#121—42no—
1094#121—42no—
1095#121—42no—
1096#121—44no—
1097#121—44no—
1098#121—44no—
1099#121—44no—
1100#121—44no—
1101#121—44no—
1102#121—44no—
1103#121—44no—
1104#121—48no—
1105#121—48no—
1106#121—84no—
1107#120—28no—
1108#120—216no—
1109#120—28no—
1110#120—44no—
1111#120—44no—
1112#120—44no—
1113#120—84no—
1114C4×Q8—24no—
1115C4×Q8—24no—
1116C4×Q8—28no—
1117C4×Q8—216no—
1118C4×Q8C2×D4116yes—
1119C4×D4—28no—
1120C4×D4—216no—
1121C4×D4—28no—
1122C4×D4—24no—
1123C4×D4—24no—
1124C4×D4—28no—
1125C4×D4—28no—
1126C4×D4—216no—
1127C4×D4—28no—
1128C4×D4—28no—
1129C4×D4—216no—
1130C4×D4—28no—
1131C4×D4—216no—
1132C4×D4—44no—
1133C4×D4—44no—
1134C4×D4—44no—
1135C4×D4—44no—
1136C4×D4—44no—
1137C4×D4—44no—
1138C4×D4—44no—
1139C4×D4—44no—
1140C4×D4C2×D4116yes—
1141C4×D4C2×D4132yes—
1142#117—24no—
1143#117—24no—
1144#117—28no—
1145#117—28no—
1146#117—216no—
1147#117—84no—
1148#117C2×D418yes—
1149#117C2×D4116yes—
1150C2×C4⋊C4—24no—
1151C2×C4⋊C4—28no—
1152C2×C4⋊C4—216no—
1153C2×C4⋊C4—28no—
1154C2×C4⋊C4—24no—
1155C2×C4⋊C4—28no—
1156C2×C4⋊C4C2×D418yes—
1157C2×C4⋊C4C2×D4116yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2414yes—
1197C2×C4⋊C4C2414yes—
1198C2×C4⋊C4C2414yes—
1199C2×C4⋊C4C2414yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2414yes—
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C22⋊C4—28no—
1208C2×C22⋊C4—216no—
1209C2×C22⋊C4—24no—
1210C2×C22⋊C4—42no—
1211C2×C22⋊C4—82no—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2411yescharacteristic
1248C2×C22⋊C4C2411yescharacteristic
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2411yescharacteristic
1289C2×C42—24no—
1290C2×C42—24no—
1291C2×C42—28no—
1292C2×C42—82no—
1293C2×C42C2414yes—
1294C2×C42C2411yescharacteristic
1295C2×C42C2412yes—
1296C2×C42C2412yes—
1297C2×C42C2412yes—
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2411yescharacteristic
1303C2×C42C2411yescharacteristic
1304C2×C42C2412yes—
1305C2×C42C2411yescharacteristic
1306C2×C42C2414yes—
1307C2×C42C2414yes—
1308C2×C42C2414yes—
1309C2×C42C2414yes—
1310C2×C42C2412yes—
1311C2×C42C2414yes—
1312#95C2411yescharacteristic
1313#95C2411yescharacteristic
1314#95C2411yescharacteristic
1315#95C2411yescharacteristic
1316#95C2411yescharacteristic
1317#95C2411yescharacteristic
1318#95C2411yescharacteristic
1319#95C2411yescharacteristic
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#95C2412yes—
1333#95C2412yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2412yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2414yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2412yes—
1349#95C2412yes—
1350#95C2412yes—
1351#95C2414yes—
1352#95C2412yes—
1353#95C2412yes—
1354#95C2414yes—
1355#95C2414yes—
1356#95C2414yes—
1357#95C2414yes—
1358C24—22no—
1359C24—24no—
1360C24—22no—
1361C24—22no—
1362C24—22no—
1363C24—24no—
1364C24—41no—
1365C24—41no—
1366C24—42no—
1367C24—42no—
1368C24—41no—
1369C24—42no—
1370C24—42no—
1371C24—42no—
1372C24C2511yescharacteristic
1373C24C2512yes—
1374C24C2512yes—
1375C24C2512yes—
1376C24C2512yes—
1377C24C2512yes—
1378C24C2511yescharacteristic
1379C24C2511yescharacteristic
1380#41—232no—
1381#41—432no—
1382#41—432no—
1383#41—432no—
1384#41—416no—
1385#41—464no—
1386#41—432no—
1387#41—416no—
1388#41—416no—
1389#41—416no—
1390#41—416no—
1391#41—416no—
1392#41—832no—
1393C2×Q8—22no—
1394C2×Q8—22no—
1395C2×Q8—28no—
1396C2×Q8—24no—
1397C2×Q8—22no—
1398C2×Q8—28no—
1399C2×Q8—24no—
1400C2×Q8—24no—
1401C2×Q8—22no—
1402C2×Q8—28no—
1403C2×Q8—22no—
1404C2×Q8—22no—
1405C2×Q8—22no—
1406C2×Q8—22no—
1407C2×Q8—22no—
1408C2×Q8—24no—
1409C2×Q8—24no—
1410C2×Q8—22no—
1411C2×Q8—22no—
1412C2×Q8—22no—
1413C2×Q8—24no—
1414C2×Q8—24no—
1415C2×Q8—22no—
1416C2×Q8—22no—
1417C2×Q8—28no—
1418C2×Q8—44no—
1419C2×Q8—44no—
1420C2×Q8—42no—
1421C2×Q8—42no—
1422C2×Q8—44no—
1423C2×Q8—44no—
1424C2×Q8—44no—
1425C2×Q8—432no—
1426C2×Q8—416no—
1427C2×Q8—432no—
1428C2×Q8—416no—
1429C2×Q8—816no—
1430C2×Q8C22×D414yes—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—28no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—24no—
1445C2×D4—24no—
1446C2×D4—24no—
1447C2×D4—24no—
1448C2×D4—24no—
1449C2×D4—24no—
1450C2×D4—24no—
1451C2×D4—28no—
1452C2×D4—24no—
1453C2×D4—24no—
1454C2×D4—24no—
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—22no—
1458C2×D4—24no—
1459C2×D4—22no—
1460C2×D4—24no—
1461C2×D4—28no—
1462C2×D4—28no—
1463C2×D4—22no—
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—22no—
1467C2×D4—22no—
1468C2×D4—22no—
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—24no—
1474C2×D4—24no—
1475C2×D4—24no—
1476C2×D4—24no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—42no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—42no—
1488C2×D4—42no—
1489C2×D4—42no—
1490C2×D4—42no—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—42no—
1498C2×D4—42no—
1499C2×D4—44no—
1500C2×D4—42no—
1501C2×D4—42no—
1502C2×D4—42no—
1503C2×D4—42no—
1504C2×D4—42no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—44no—
1510C2×D4—42no—
1511C2×D4—42no—
1512C2×D4—42no—
1513C2×D4—42no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—44no—
1521C2×D4—44no—
1522C2×D4—432no—
1523C2×D4—416no—
1524C2×D4C22×D418yes—
1525C2×D4C22×D414yes—
1526C22×C4—24no—
1527C22×C4—24no—
1528C22×C4—22no—
1529C22×C4—22no—
1530C22×C4—28no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—22no—
1534C22×C4—22no—
1535C22×C4—22no—
1536C22×C4—22no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—22no—
1541C22×C4—24no—
1542C22×C4—24no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—28no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—22no—
1550C22×C4—24no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—22no—
1554C22×C4—24no—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—22no—
1559C22×C4—22no—
1560C22×C4—22no—
1561C22×C4—22no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—22no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—22no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—24no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—28no—
1577C22×C4—41no—
1578C22×C4—42no—
1579C22×C4—44no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—44no—
1590C22×C4—44no—
1591C22×C4—44no—
1592C22×C4—44no—
1593C22×C4—41no—
1594C22×C4—44no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—44no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—44no—
1604C22×C4—432no—
1605C22×C4—416no—
1606C22×C4C22×D418yes—
1607C22×C4C22×D418yes—
1608C22×C4C22×D4116yes—
1609C22×C4C22×D414yes—
1610C22×C4H(5,𝔽2)14yes—
1611C22×C4H(5,𝔽2)14yes—
1612C22×C4C2511yescharacteristic
1613C22×C4C2511yescharacteristic
1614C22×C4C2512yes—
1615C22×C4C2514yes—
1616C22×C4C2511yescharacteristic
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2514yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2514yes—
1625C22×C4C2511yescharacteristic
1626C22×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2514yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C22×C4C2511yescharacteristic
1638C22×C4C2511yescharacteristic
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—28no—
1642C4⋊C4—28no—
1643C4⋊C4—24no—
1644C4⋊C4—28no—
1645C4⋊C4—28no—
1646C4⋊C4—28no—
1647C4⋊C4—28no—
1648C4⋊C4—28no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—28no—
1654C4⋊C4—24no—
1655C4⋊C4—28no—
1656C4⋊C4—28no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—22no—
1660C4⋊C4—22no—
1661C4⋊C4—22no—
1662C4⋊C4—22no—
1663C4⋊C4—24no—
1664C4⋊C4—42no—
1665C4⋊C4—44no—
1666C4⋊C4—42no—
1667C4⋊C4—44no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—44no—
1678C4⋊C4—44no—
1679C4⋊C4—44no—
1680C4⋊C4—44no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4C22×D414yes—
1684C4⋊C4C22×D418yes—
1685C4⋊C4C22×D418yes—
1686C4⋊C4C22×D4116yes—
1687C4⋊C4C22×D414yes—
1688C22⋊C4—28no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—22no—
1694C22⋊C4—24no—
1695C22⋊C4—28no—
1696C22⋊C4—28no—
1697C22⋊C4—28no—
1698C22⋊C4—28no—
1699C22⋊C4—28no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—28no—
1703C22⋊C4—28no—
1704C22⋊C4—24no—
1705C22⋊C4—28no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—28no—
1709C22⋊C4—28no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—41no—
1722C22⋊C4—41no—
1723C22⋊C4—44no—
1724C22⋊C4—44no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—44no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—44no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—44no—
1751C22⋊C4—44no—
1752C22⋊C4—44no—
1753C22⋊C4—44no—
1754C22⋊C4—44no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—44no—
1758C22⋊C4—44no—
1759C22⋊C4—44no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4C22×D418yes—
1763C22⋊C4C22×D4116yes—
1764C22⋊C42−1+414yescomplemented
1765C42—22no—
1766C42—22no—
1767C42—24no—
1768C42—22no—
1769C42—22no—
1770C42—24no—
1771C42—28no—
1772C42—22no—
1773C42—22no—
1774C42—22no—
1775C42—22no—
1776C42—24no—
1777C42—24no—
1778C42—44no—
1779C42—44no—
1780C42—44no—
1781C42—44no—
1782C42C22×D418yes—
1783C42C22×D4116yes—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—21no—
1795C23—22no—
1796C23—21no—
1797C23—22no—
1798C23—22no—
1799C23—21no—
1800C23—22no—
1801C23—22no—
1802C23—22no—
1803C23—21no—
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—21no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—21no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—21no—
1823C23—22no—
1824C23—22no—
1825C23—21no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—21no—
1835C23—44no—
1836C23—44no—
1837C23—44no—
1838C23—48no—
1839C23—48no—
1840C23—44no—
1841C23—82no—
1842C23—82no—
1843C23—82no—
1844C23—84no—
1845C23—84no—
1846C23—84no—
1847C23—84no—
1848C23—84no—
1849C23C23×D414yes—
1850C23C23×D412yes—
1851C23C2×H(5,𝔽2)12yes—
1852C23C2×H(5,𝔽2)12yes—
1853C23C2×2−1+412yes—
1854C23C2611yescharacteristic
1855Q8—28no—
1856Q8—416no—
1857Q8—416no—
1858Q8—48no—
1859Q8—48no—
1860Q8—44no—
1861Q8—48no—
1862Q8—44no—
1863Q8—44no—
1864Q8—44no—
1865Q8—88no—
1866D4—216no—
1867D4—28no—
1868D4—48no—
1869D4—48no—
1870D4—48no—
1871D4—48no—
1872D4—48no—
1873D4—48no—
1874D4—416no—
1875D4—48no—
1876D4—48no—
1877D4—48no—
1878D4—48no—
1879D4—44no—
1880D4—44no—
1881D4—44no—
1882D4—44no—
1883D4—84no—
1884D4—88no—
1885D4—84no—
1886D4—84no—
1887D4—88no—
1888D4—84no—
1889D4—84no—
1890D4—88no—
1891D4—84no—
1892D4—84no—
1893D4—84no—
1894D4—84no—
1895D4—164no—
1896D4—164no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—24no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—24no—
1907C2×C4—22no—
1908C2×C4—21no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—216no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—24no—
1917C2×C4—22no—
1918C2×C4—24no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—24no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—24no—
1943C2×C4—24no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—24no—
1954C2×C4—21no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—24no—
1958C2×C4—24no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—24no—
1965C2×C4—21no—
1966C2×C4—48no—
1967C2×C4—416no—
1968C2×C4—48no—
1969C2×C4—48no—
1970C2×C4—44no—
1971C2×C4—44no—
1972C2×C4—44no—
1973C2×C4—48no—
1974C2×C4—48no—
1975C2×C4—416no—
1976C2×C4—48no—
1977C2×C4—416no—
1978C2×C4—44no—
1979C2×C4—48no—
1980C2×C4—44no—
1981C2×C4—44no—
1982C2×C4—44no—
1983C2×C4—44no—
1984C2×C4—48no—
1985C2×C4—48no—
1986C2×C4—48no—
1987C2×C4—48no—
1988C2×C4—88no—
1989C2×C4—84no—
1990C2×C4—82no—
1991C2×C4—84no—
1992C2×C4#535116yes—
1993C2×C4C23×D414yes—
1994C2×C4C23×D414yes—
1995C2×C4C23×D414yes—
1996C2×C4C23×D418yes—
1997C2×C4C23×D412yes—
1998C2×C4C23×D412yes—
1999C2×C4C2×H(5,𝔽2)12yes—
2000C2×C4C2×H(5,𝔽2)12yes—
2001C2×C4C2×H(5,𝔽2)12yes—
2002C2×C4C2×H(5,𝔽2)12yes—
2003C2×C4C2×2−1+412yes—
2004C2×C4C2×2−1+412yes—
2005C2×C4#58512yes—
2006C22—22no—
2007C22—22no—
2008C22—22no—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—24no—
2013C22—22no—
2014C22—24no—
2015C22—22no—
2016C22—24no—
2017C22—22no—
2018C22—41no—
2019C22—42no—
2020C22—42no—
2021C22—41no—
2022C22—41no—
2023C22—42no—
2024C22—42no—
2025C22—41no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—41no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—41no—
2040C22—42no—
2041C22—41no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—41no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—41no—
2056C22—42no—
2057C22—41no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—88no—
2062C22—816no—
2063C22C2×#53514yes—
2064C22C24×D411yescharacteristic
2065C22C22×H(5,𝔽2)11yescharacteristic
2066C22C22×H(5,𝔽2)11yescharacteristic
2067C22C22×2−1+411yescharacteristic
2068C22C2×#58511yescharacteristic
2069C22H(7,𝔽2)11yescharacteristic
2070C222−1+611yescharacteristic
2071C4—24no—
2072C4—22no—
2073C4—28no—
2074C4—22no—
2075C4—24no—
2076C4—24no—
2077C4—22no—
2078C4—41no—
2079C4—44no—
2080C4—41no—
2081C4—42no—
2082C4—44no—
2083C4—42no—
2084C4—41no—
2085C4—41no—
2086C4—42no—
2087C4—42no—
2088C4—44no—
2089C4—42no—
2090C4—42no—
2091C4—41no—
2092C4—42no—
2093C4—41no—
2094C4—41no—
2095C4—42no—
2096C4C2×#53514yes—
2097C4C2×#53514yes—
2098C2—24no—
2099C2—44no—
2100C2—42no—
2101C2—82no—
2102C2—82no—
2103C2—82no—
2104C2—81no—
2105C2—82no—
2106C2C22×#53511yescharacteristic
2107C2#6283511yescharacteristic
2108C2#6287811yescharacteristic
2109C2#6294411yescharacteristic
2110C2#6296011yescharacteristic
2111C2#6298711yescharacteristic
2112C2D4×2−1+411yescharacteristic
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×#3489C2semidirect
2. C2×#3511C2semidirect
3. #42995C2semidirect
4. #42911C2semidirect
5. #42805C2semidirect
6. #42788C2semidirect
7. #42648C2semidirect
8. #42443C2semidirect
9. #42434C2semidirect
10. #42421C2semidirect
11. #41413C2semidirect
12. #40593C2semidirect
13. #39886C2semidirect
14. #39876C2semidirect
15. #39863C2semidirect
16. #39854C2semidirect
17. #39596C2semidirect
18. #39594C2semidirect
19. #39471C2semidirect
20. #38905C2semidirect
21. #38423C2semidirect
22. #38079C2semidirect
23. #35660C2semidirect
24. #35660C2semidirect
25. #35634C2semidirect
26. #35621C2semidirect
27. #35592C2semidirect
28. #35518C2semidirect
29. #35308C2semidirect
30. #35251C2semidirect
31. #35166C2semidirect
32. C2×#2492C2semidirect
33. #34743C2semidirect
34. #34738C2semidirect
35. #34252C2semidirect
40. C2×#556C22semidirect
41. C2×#555C22semidirect
42. C2×#554C22semidirect
43. C2×#553C22semidirect
46. C2×#548C22semidirect
49. C2×#547C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
58. C2×#537C22semidirect
59. C2×#537C22semidirect
62. C2×#536C22semidirect
63. C2×#536C22semidirect
64. C2×#533C22semidirect
67. C2×#532C22semidirect
68. C2×#532C22semidirect
69. C22×C4⋊Q8C22semidirect
77. C2×#520C22semidirect
78. C2×C4×#41C22semidirect
79. #2857C22semidirect
80. #2856C22semidirect
81. #2850C22semidirect
84. #2821C22semidirect
85. #2819C22semidirect
86. #2816C22semidirect
87. #2813C22semidirect
89. #2720C22semidirect
90. #2720C22semidirect
91. #2718C22semidirect
92. #2718C22semidirect
93. #2718C22semidirect
94. #2711C22semidirect
95. #2710C22semidirect
96. #2710C22semidirect
97. #2710C22semidirect
98. #2710C22semidirect
99. #2710C22semidirect
100. #2710C22semidirect
101. #2703C22semidirect
102. #2703C22semidirect
103. #2703C22semidirect
105. #2696C22semidirect
106. #2696C22semidirect
109. #2692C22semidirect
110. #2692C22semidirect
111. #2692C22semidirect
112. #2692C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2673C22semidirect
120. #2662C22semidirect
121. #2661C22semidirect
122. #2656C22semidirect
123. #2640C22semidirect
124. #2636C22semidirect
125. #2635C22semidirect
126. #2632C22semidirect
128. #2628C22semidirect
130. #2623C22semidirect
131. #2621C22semidirect
132. #2620C22semidirect
133. #2620C22semidirect
136. #2615C22semidirect
137. #2610C22semidirect
139. #2598C22semidirect
140. #2591C22semidirect
142. #2567C22semidirect
143. #2547C22semidirect
144. #2546C22semidirect
145. #2545C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
150. #2542C22semidirect
151. #2542C22semidirect
152. #2542C22semidirect
153. #2542C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2540C22semidirect
166. #2537C22semidirect
167. #2536C22semidirect
169. #2502C22semidirect
170. #2501C22semidirect
175. #2492C22semidirect
176. #2492C22semidirect
177. #2492C22semidirect
178. #2492C22semidirect
179. #2492C22semidirect
180. #2492C22semidirect
181. #2492C22semidirect
182. #2492C22semidirect
183. #2491C22semidirect
184. #2491C22semidirect
185. #2491C22semidirect
186. #2491C22semidirect
187. #2487C22semidirect
189. #2436C22semidirect
190. #2436C22semidirect
191. #2436C22semidirect
194. #2434C22semidirect
195. #2434C22semidirect
199. #2432C22semidirect
200. #2432C22semidirect
203. #2431C22semidirect
204. #2431C22semidirect
205. #2431C22semidirect
209. #2430C22semidirect
210. #2430C22semidirect
211. #2430C22semidirect
212. #2430C22semidirect
214. #2429C22semidirect
215. #2429C22semidirect
216. #2429C22semidirect
218. #2428C22semidirect
220. #2427C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
224. #2426C22semidirect
225. #2425C22semidirect
226. #2425C22semidirect
227. #2425C22semidirect
228. #2425C22semidirect
229. #2425C22semidirect
230. #2425C22semidirect
231. #2425C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2416C22semidirect
239. #2415C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
243. #2414C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
261. C2×#400C22semidirect
263. #2392C22semidirect
267. #2357C22semidirect
268. #2356C22semidirect
269. #2355C22semidirect
270. #2354C22semidirect
271. #2347C22semidirect
272. #2346C22semidirect
273. #2345C22semidirect
274. #2344C22semidirect
275. #2326C22semidirect
278. #2318C22semidirect
279. #2317C22semidirect
282. #2311C22semidirect
283. #2311C22semidirect
285. C4×#121C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. C2×#391C22semidirect
293. C2×#391C22semidirect
294. C2×#391C22semidirect
295. #2290C22semidirect
298. #2274C22semidirect
299. C2×C4×C4⋊C4C22semidirect
483. #520D4semidirect
1764. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#35112
#429952
#429112
#428052
#427882
#426482
#424432
#424342
#424212
#414132
#405932
#398862
#398762
#398632
#398542
#395962
#395942
#394712
#389052
#384232
#380792
#356602
#356342
#356212
#355922
#355182
#353082
#352512
#351662
C2×#24922
#347432
#347382
#342522