Finite Group Databasebeta

← #7658804

Subgroups — #7658804

Order 512.

6860 conjugacy classes of subgroups.

The subgroup lattice has 1935 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3493C211yesmaximal, characteristic, complemented
3#42978C211yesmaximal, characteristic, complemented
4#42968C211yesmaximal, characteristic, complemented
5#42963C211yesmaximal, characteristic, complemented
6#42962C211yesmaximal, characteristic, complemented
7#42952C212yesmaximal, complemented
8#42928C212yesmaximal, complemented
9#42423C212yesmaximal, complemented
10#42421C212yesmaximal, complemented
11#42303C212yesmaximal, complemented
12#42302C212yesmaximal, complemented
13#42178C214yesmaximal, complemented
14#41995C214yesmaximal, complemented
15#41945C212yesmaximal, complemented
16#41944C212yesmaximal, complemented
17#40524C214yesmaximal, complemented
18#40521C214yesmaximal, complemented
19#37621C212yesmaximal, complemented
20#37558C212yesmaximal, complemented
21#37544C212yesmaximal, complemented
22#37448C211yesmaximal, characteristic, complemented
23#37444C211yesmaximal, characteristic, complemented
24#37439C211yesmaximal, characteristic, complemented
25#36684C212yesmaximal, complemented
26#36652C211yesmaximal, characteristic, complemented
27#36087C211yesmaximal, characteristic, complemented
28#36080C211yesmaximal, characteristic, complemented
29#36028C212yesmaximal, complemented
30#36004C211yesmaximal, characteristic, complemented
31#35982C211yesmaximal, characteristic, complemented
32#35830C212yesmaximal, complemented
33#35793C212yesmaximal, complemented
34#35752C212yesmaximal, complemented
35#34180C211yesmaximal, characteristic, complemented
36#3494—216no—
37#3493—216no—
38C2×#556C2212yes—
39C2×#556C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#555C2211yescharacteristic
42C2×#555C2211yescharacteristic
43C2×#555C2212yes—
44C2×#555C2212yescomplemented
45C2×#553C2212yes—
46C2×#553C2212yes—
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic, complemented
49C2×#553C2211yescharacteristic, complemented
50C2×#552C2211yescharacteristic
51C2×#552C2211yescharacteristic
52C2×#552C2212yescomplemented
53C2×#551C2214yes—
54C2×#547C2212yes—
55C2×#546C2214yes—
56C2×#544C2211yescharacteristic
57C2×#544C2211yescharacteristic, complemented
58C2×#542C2212yes—
59C2×#540C2212yes—
60C2×#538C2212yes—
61C2×#538C2212yes—
62C2×#537C2211yescharacteristic, complemented
63C2×#535C2211yescharacteristic
64C2×#532C2212yes—
65C2×#529C2212yes—
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic, complemented
74C2×#520C2211yescharacteristic, complemented
75C2×#518C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2823C2214yescomplemented
78#2823C2214yescomplemented
79#2822C2212yescomplemented
80#2820C2212yescomplemented
81#2820C2212yescomplemented
82#2819C2212yescomplemented
83#2817C2211yescharacteristic, complemented
84#2816C2211yescharacteristic, complemented
85#2816C2211yescharacteristic, complemented
86#2815C2211yescharacteristic, complemented
87#2814C2212yes—
88#2814C2211yescharacteristic, complemented
89#2814C2211yescharacteristic, complemented
90#2814C2212yescomplemented
91#2814C2214yescomplemented
92#2813C2212yes—
93#2813C2212yes—
94#2813C2212yes—
95#2813C2212yes—
96#2813C2212yes—
97#2813C2211yescharacteristic, complemented
98#2813C2211yescharacteristic, complemented
99#2813C2212yescomplemented
100#2813C2214yescomplemented
101#2812C2212yes—
102#2812C2212yes—
103#2696C2214yescomplemented
104#2695C2214yescomplemented
105#2694C2214yescomplemented
106#2693C2214yescomplemented
107#2692C2214yescomplemented
108#2691C2214yescomplemented
109#2690C2214yescomplemented
110#2689C2214yes—
111#2687C2214yes—
112#2685C2214yes—
113#2678C2214yes—
114#2677C2214yescomplemented
115#2676C2214yescomplemented
116#2676C2214yescomplemented
117#2675C2214yescomplemented
118#2674C2214yes—
119#2674C2214yescomplemented
120#2673C2214yescomplemented
121#2672C2214yes—
122#2672C2214yescomplemented
123#2671C2214yescomplemented
124#2671C2214yescomplemented
125#2670C2214yes—
126#2669C2214yes—
127#2663C2214yescomplemented
128#2662C2214yescomplemented
129#2662C2214yescomplemented
130#2661C2214yescomplemented
131#2658C2212yescomplemented
132#2657C2212yescomplemented
133#2656C2212yes—
134#2642C2212yescomplemented
135#2641C2212yescomplemented
136#2639C2212yes—
137#2637C2214yescomplemented
138#2636C2214yescomplemented
139#2636C2214yescomplemented
140#2636C2214yescomplemented
141#2635C2212yes—
142#2635C2212yes—
143#2635C2214yescomplemented
144#2635C2214yescomplemented
145#2634C2212yescomplemented
146#2633C2212yescomplemented
147#2632C2212yescomplemented
148#2631C2212yescomplemented
149#2630C2214yes—
150#2628C2212yescomplemented
151#2628C2212yescomplemented
152#2626C2212yes—
153#2625C2211yescharacteristic
154#2624C2212yes—
155#2624C2211yescharacteristic
156#2620C2212yes—
157#2619C2212yes—
158#2619C2212yescomplemented
159#2619C2212yescomplemented
160#2617C2212yes—
161#2617C2214yes—
162#2616C2211yescharacteristic
163#2616C2214yescomplemented
164#2615C2212yes—
165#2615C2211yescharacteristic
166#2615C2214yescomplemented
167#2613C2214yes—
168#2611C2212yescomplemented
169#2611C2212yescomplemented
170#2610C2212yescomplemented
171#2610C2212yescomplemented
172#2601C2214yescomplemented
173#2601C2214yescomplemented
174#2600C2214yescomplemented
175#2600C2214yescomplemented
176#2598C2212yescomplemented
177#2598C2212yescomplemented
178#2598C2212yescomplemented
179#2598C2212yescomplemented
180#2564C2212yescomplemented
181#2562C2212yescomplemented
182#2562C2212yescomplemented
183#2559C2214yescomplemented
184#2557C2214yescomplemented
185#2555C2214yescomplemented
186#2555C2214yescomplemented
187#2551C2212yescomplemented
188#2550C2212yescomplemented
189#2545C2214yescomplemented
190#2544C2214yescomplemented
191#2543C2212yescomplemented
192#2541C2212yescomplemented
193#2540C2212yescomplemented
194#2540C2212yescomplemented
195#2540C2212yescomplemented
196#2538C2214yescomplemented
197#2537C2214yescomplemented
198#2534C2214yes—
199#2521C2214yescomplemented
200#2503C2211yescharacteristic
201#2501C2211yescharacteristic
202#2500C2212yes—
203#2492C2212yescomplemented
204#2491C2214yescomplemented
205#2491C2212yescomplemented
206#2491C2212yescomplemented
207#2490C2212yescomplemented
208#2487C2211yescharacteristic
209#2487C2211yescharacteristic
210#2485C2212yescomplemented
211#2481C2214yescomplemented
212#2480C2214yes—
213#2479C2214yescomplemented
214#2472C2214yes—
215#2471C2214yescomplemented
216#2469C2214yescomplemented
217#2468C2214yes—
218#2467C2214yescomplemented
219#2464C2214yes—
220#2464C2214yescomplemented
221#2461C2214yes—
222#2458C2214yescomplemented
223#2457C2214yes—
224#2456C2214yescomplemented
225#2454C2212yescomplemented
226#2454C2212yescomplemented
227#2453C2212yescomplemented
228#2452C2212yescomplemented
229#2443C2214yescomplemented
230#2442C2212yescomplemented
231#2442C2212yescomplemented
232#2441C2212yescomplemented
233#2440C2212yescomplemented
234#2435C2211yescharacteristic
235#2433C2211yescharacteristic
236#2432C2214yescomplemented
237#2431C2212yes—
238#2431C2214yescomplemented
239#2428C2214yescomplemented
240#2428C2212yescomplemented
241#2428C2212yescomplemented
242#2427C2212yescomplemented
243#2426C2212yescomplemented
244#2424C2214yes—
245#2418C2214yes—
246#2417C2212yescomplemented
247#2417C2212yescomplemented
248#2416C2212yes—
249#2416C2212yes—
250#2416C2212yescomplemented
251#2416C2212yescomplemented
252#2416C2212yescomplemented
253#2414C2214yescomplemented
254#2414C2214yescomplemented
255#2414C2212yescomplemented
256#2410C2212yes—
257#2410C2212yes—
258#2408C2211yescharacteristic
259#2408C2211yescharacteristic
260#2407C2212yescomplemented
261#2396C2212yescomplemented
262#2396C2212yescomplemented
263#2396C2214yescomplemented
264#2395C2211yescharacteristic
265#2395C2211yescharacteristic
266#2395C2212yescomplemented
267#2392C2214yescomplemented
268#2392C2212yescomplemented
269#2392C2212yescomplemented
270#2392C2214yescomplemented
271#2392C2214yescomplemented
272#2392C2212yescomplemented
273#2392C2212yescomplemented
274#2388C2211yescharacteristic
275#2388C2211yescharacteristic
276#2388C2212yescomplemented
277#2367C2212yescomplemented
278#2366C2212yescomplemented
279#2363C2212yescomplemented
280#2363C2212yescomplemented
281#2362C2212yescomplemented
282#2361C2212yescomplemented
283#2354C2212yescomplemented
284#2352C2212yescomplemented
285#2347C2211yescharacteristic
286#2347C2211yescharacteristic
287#2346C2211yescharacteristic
288#2346C2211yescharacteristic
289#2345C2212yescomplemented
290#2344C2212yescomplemented
291#2343C2212yescomplemented
292#2343C2212yescomplemented
293#2342C2214yes—
294#2317C2212yescomplemented
295#2314C2214yes—
296#2285C2212yescomplemented
297#2283C2212yescomplemented
298#2280C2211yescharacteristic
299C2×#380C2211yescharacteristic
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C23×D4C2311yescharacteristic
306C23×D4C2312yes—
307C24×C4C2311yescharacteristic
308#556—216no—
309#556—28no—
310#556—28no—
311#555—28no—
312#555—28no—
313#555—216no—
314#555—216no—
315#553—216no—
316#553—216no—
317#553—28no—
318#553—28no—
319#553—216no—
320#552—28no—
321#552—28no—
322#552—216no—
323#551—232no—
324#547—216no—
325#546—232no—
326#544—28no—
327#544—28no—
328#542—216no—
329#540—216no—
330#538—216no—
331#538—216no—
332#537—28no—
333#535—28no—
334#532—216no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2314yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2314yes—
344#529—216no—
345#529—216no—
346#529—216no—
347C2×#126C2312yes—
348C2×#126C2312yes—
349C2×#126C2314yes—
350C2×#126C2312yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376#525—28no—
377#525—28no—
378#525—28no—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2311yescharacteristic
382C2×#123C2311yescharacteristic
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×#121—28no—
409C2×#121C2311yescharacteristic
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2311yescharacteristic
446C2×#120C2311yescharacteristic
447C2×#120C2314yes—
448C2×#120C2314yes—
449C2×#120C2312yes—
450C2×#120C2312yes—
451#520—28no—
452#520—28no—
453#520—28no—
454#518—28no—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×#117D4116yescomplemented
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2314yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C42C2312yes—
524#400C2311yescharacteristic
525#400C2311yescharacteristic
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2314yes—
532#400C2312yes—
533#400C2314yes—
534#400C2314yes—
535#400C2314yes—
536#399C2311yescharacteristic
537#399C2311yescharacteristic
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2314yes—
543#399C2312yes—
544#399C2312yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#399C2314yes—
549#398C2311yescharacteristic
550#398C2311yescharacteristic
551#398C2312yes—
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#398C2314yes—
556#398C2312yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2312yes—
561#398C2314yes—
562#397C2312yes—
563#397C2312yes—
564#397C2311yescharacteristic
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#397C2314yes—
569#397C2311yescharacteristic
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2312yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2312yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2312yes—
594#396C2312yes—
595#395C2311yescharacteristic
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2312yes—
599#395C2314yes—
600#395C2314yes—
601#395C2314yes—
602#395C2314yes—
603#394C2311yescharacteristic
604#394C2311yescharacteristic
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2312yes—
622#394C2312yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2312yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2312yes—
641#394C2314yes—
642#394C2314yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#393C2311yescharacteristic
651#393C2311yescharacteristic
652#393C2312yes—
653#393C2312yes—
654#393C2314yes—
655#393C2314yes—
656#393C2314yes—
657#393C2314yes—
658#393C2314yes—
659#392C2312yes—
660#392C2312yes—
661#392C2314yes—
662#392C2311yescharacteristic
663#392C2312yes—
664#392C2312yes—
665#392C2314yes—
666#392C2314yes—
667#392C2312yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2312yes—
675#392C2314yes—
676#392C2314yes—
677#392C2314yes—
678#392C2311yescharacteristic
679#392C2314yes—
680#392C2312yes—
681#392C2314yes—
682#392C2314yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2314yes—
691#391C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2314yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2314yes—
702#390C2312yes—
703#390C2312yes—
704#390C2314yes—
705#390C2312yes—
706#390C2314yes—
707#390C2314yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2314yes—
713#389C2314yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2314yes—
719#389C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2312yes—
785#385C2312yes—
786#384C2314yes—
787#384C2312yes—
788#383C2312yes—
789#383C2312yes—
790#382C2312yes—
791#382C2312yes—
792#382C2314yes—
793#382C2312yes—
794#381C2311yescharacteristic
795#381C2311yescharacteristic
796#381C2314yes—
797#381C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2312yes—
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2311yescharacteristic
817#380C2311yescharacteristic
818#379C2312yes—
819#379C2314yes—
820#379C2312yes—
821#379C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848#376C2312yes—
849#376C2312yes—
850C2×#95C2312yes—
851C25C2412yes—
852C25C2411yescharacteristic
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—84no—
861C2×#41—84no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×D4—28no—
869C22×D4—24no—
870C22×D4—44no—
871C22×D4—84no—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C23×C4—44no—
903C23×C4C2×D418yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—24no—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—84no—
931#127—28no—
932#127—44no—
933#127—84no—
934#126—216no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—216no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#125—24no—
945#125—24no—
946#125—28no—
947#125—28no—
948#125—28no—
949#125—28no—
950#125—28no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—216no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—216no—
960#124—44no—
961#124—84no—
962#124—84no—
963#123—24no—
964#123—24no—
965#123—28no—
966#123—28no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—84no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—24no—
980C22⋊Q8—24no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—44no—
990C22⋊Q8—84no—
991C22⋊Q8—84no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—24no—
997#121—24no—
998#121—24no—
999#121—24no—
1000#121—24no—
1001#121—24no—
1002#121—28no—
1003#121—28no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—24no—
1008#121—24no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—216no—
1015#121—216no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—84no—
1020#121—84no—
1021#121—84no—
1022#121—84no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—28no—
1027#120—24no—
1028#120—24no—
1029#120—28no—
1030#120—216no—
1031#120—82no—
1032#120—82no—
1033#120—84no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—28no—
1039C4×Q8—28no—
1040C4×D4—28no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—216no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—84no—
1068C4×D4—84no—
1069#117—24no—
1070#117—24no—
1071#117—24no—
1072#117—28no—
1073#117—24no—
1074#117—24no—
1075#117—28no—
1076#117—216no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—44no—
1082#117—84no—
1083#117C2×D418yes—
1084#117C2×D418yes—
1085#117C2×D4116yes—
1086#117C2×D4116yes—
1087#117C2×D418yes—
1088#117C2×D418yes—
1089C2×C4⋊C4—24no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—44no—
1095C2×C4⋊C4C2×D418yes—
1096C2×C4⋊C4C2×D418yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4—82no—
1160C2×C22⋊C4C2×D4116yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C42C2×D4116yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306C24—24no—
1307C24—41no—
1308C24—42no—
1309C24—42no—
1310C24—41no—
1311C24—44no—
1312C24—42no—
1313C24—44no—
1314C24—42no—
1315C24C22×D414yes—
1316C24C2514yes—
1317C24C2511yescharacteristic
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323C24C2511yescharacteristic
1324#41—416no—
1325#41—416no—
1326#41—416no—
1327#41—832no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—28no—
1334C2×Q8—24no—
1335C2×Q8—42no—
1336C2×Q8—42no—
1337C2×Q8—44no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—416no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—41no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—41no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—816no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—28no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—28no—
1440C22×C4—416no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4C22×D414yes—
1467C22×C4C22×D414yes—
1468C22×C4C22×D414yes—
1469C22×C4C22×D414yes—
1470C22×C4C22×D418yes—
1471C22×C4C22×D418yes—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4C2512yes—
1475C22×C4C2514yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2514yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—28no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—42no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4C22×D414yes—
1556C4⋊C4C22×D414yes—
1557C4⋊C4C22×D414yes—
1558C4⋊C4C22×D418yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C22⋊C4—24no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—22no—
1578C22⋊C4—24no—
1579C22⋊C4—22no—
1580C22⋊C4—28no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—28no—
1595C22⋊C4—24no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C22×D418yes—
1642C22⋊C4C22×D418yes—
1643C42—28no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—24no—
1650C42—22no—
1651C42—22no—
1652C42—24no—
1653C42—24no—
1654C42—44no—
1655C42—44no—
1656C42—44no—
1657C42—44no—
1658C42C22×D418yes—
1659C42C22×D418yes—
1660C42C22×D418yes—
1661C42C22×D418yes—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—22no—
1675C23—21no—
1676C23—21no—
1677C23—24no—
1678C23—22no—
1679C23—22no—
1680C23—24no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—24no—
1685C23—24no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—24no—
1692C23—21no—
1693C23—22no—
1694C23—24no—
1695C23—24no—
1696C23—21no—
1697C23—22no—
1698C23—21no—
1699C23—24no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—48no—
1707C23—84no—
1708C23—84no—
1709C23—84no—
1710C23—84no—
1711C23—164no—
1712C23—164no—
1713C23C23×D412yes—
1714C23C23×D412yes—
1715C23C23×D412yes—
1716C23C2611yescharacteristic
1717Q8—44no—
1718Q8—44no—
1719Q8—44no—
1720Q8—84no—
1721Q8—84no—
1722Q8—88no—
1723D4—48no—
1724D4—44no—
1725D4—44no—
1726D4—416no—
1727D4—44no—
1728D4—44no—
1729D4—48no—
1730D4—48no—
1731D4—48no—
1732D4—48no—
1733D4—44no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737D4—88no—
1738D4—84no—
1739D4—82no—
1740D4—82no—
1741D4—84no—
1742D4—84no—
1743D4—82no—
1744D4—82no—
1745D4—88no—
1746D4—88no—
1747D4—84no—
1748D4—88no—
1749D4—84no—
1750D4—164no—
1751D4—164no—
1752D4—164no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—28no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—24no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—44no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—84no—
1826C2×C4—84no—
1827C2×C4—88no—
1828C2×C4—84no—
1829C2×C4—84no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—84no—
1833C2×C4—164no—
1834C2×C4C23×D414yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D412yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D414yes—
1840C2×C4C23×D414yes—
1841C2×C4C23×D412yes—
1842C2×C4#58514yes—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—44no—
1863C22—44no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—44no—
1868C22—44no—
1869C22—42no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—44no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—41no—
1880C22—44no—
1881C22—42no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—42no—
1886C22—44no—
1887C22—88no—
1888C22—168no—
1889C22C24×D411yescharacteristic
1890C22C2×#58512yes—
1891C22H(7,𝔽2)11yescharacteristic
1892C22H(7,𝔽2)12yes—
1893C222−1+611yescharacteristic
1894C4—24no—
1895C4—24no—
1896C4—24no—
1897C4—24no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—44no—
1902C4—44no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—44no—
1908C4—42no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—41no—
1915C4—42no—
1916C4—42no—
1917C4—41no—
1918C4—41no—
1919C4—42no—
1920C4#344914yes—
1921C2—42no—
1922C2—42no—
1923C2—42no—
1924C2—81no—
1925C2—81no—
1926C2—82no—
1927C2—82no—
1928C2—84no—
1929C2C2×#344911yescharacteristic
1930C2#6285211yescharacteristic
1931C2#6285311yescharacteristic
1932C2#6305112yes—
1933C2#6306512yes—
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×#3494C2semidirect
2. C2×#3493C2semidirect
3. #42978C2semidirect
4. #42968C2semidirect
5. #42963C2semidirect
6. #42962C2semidirect
7. #42952C2semidirect
8. #42928C2semidirect
9. #42423C2semidirect
10. #42421C2semidirect
11. #42303C2semidirect
12. #42302C2semidirect
13. #42178C2semidirect
14. #41995C2semidirect
15. #41945C2semidirect
16. #41944C2semidirect
17. #40524C2semidirect
18. #40521C2semidirect
19. #37621C2semidirect
20. #37558C2semidirect
21. #37544C2semidirect
22. #37448C2semidirect
23. #37444C2semidirect
24. #37439C2semidirect
25. #36684C2semidirect
26. #36652C2semidirect
27. #36087C2semidirect
28. #36080C2semidirect
29. #36028C2semidirect
30. #36004C2semidirect
31. #35982C2semidirect
32. #35830C2semidirect
33. #35793C2semidirect
34. #35752C2semidirect
35. #34180C2semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
44. C2×#555C22semidirect
48. C2×#553C22semidirect
49. C2×#553C22semidirect
52. C2×#552C22semidirect
57. C2×#544C22semidirect
62. C2×#537C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
73. C2×#520C22semidirect
74. C2×#520C22semidirect
77. #2823C22semidirect
78. #2823C22semidirect
79. #2822C22semidirect
80. #2820C22semidirect
81. #2820C22semidirect
82. #2819C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2816C22semidirect
86. #2815C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
97. #2813C22semidirect
98. #2813C22semidirect
99. #2813C22semidirect
100. #2813C22semidirect
103. #2696C22semidirect
104. #2695C22semidirect
105. #2694C22semidirect
106. #2693C22semidirect
107. #2692C22semidirect
108. #2691C22semidirect
109. #2690C22semidirect
114. #2677C22semidirect
115. #2676C22semidirect
116. #2676C22semidirect
117. #2675C22semidirect
119. #2674C22semidirect
120. #2673C22semidirect
122. #2672C22semidirect
123. #2671C22semidirect
124. #2671C22semidirect
127. #2663C22semidirect
128. #2662C22semidirect
129. #2662C22semidirect
130. #2661C22semidirect
131. #2658C22semidirect
132. #2657C22semidirect
134. #2642C22semidirect
135. #2641C22semidirect
137. #2637C22semidirect
138. #2636C22semidirect
139. #2636C22semidirect
140. #2636C22semidirect
143. #2635C22semidirect
144. #2635C22semidirect
145. #2634C22semidirect
146. #2633C22semidirect
147. #2632C22semidirect
148. #2631C22semidirect
150. #2628C22semidirect
151. #2628C22semidirect
158. #2619C22semidirect
159. #2619C22semidirect
163. #2616C22semidirect
166. #2615C22semidirect
168. #2611C22semidirect
169. #2611C22semidirect
170. #2610C22semidirect
171. #2610C22semidirect
172. #2601C22semidirect
173. #2601C22semidirect
174. #2600C22semidirect
175. #2600C22semidirect
176. #2598C22semidirect
177. #2598C22semidirect
178. #2598C22semidirect
179. #2598C22semidirect
180. #2564C22semidirect
181. #2562C22semidirect
182. #2562C22semidirect
183. #2559C22semidirect
184. #2557C22semidirect
185. #2555C22semidirect
186. #2555C22semidirect
187. #2551C22semidirect
188. #2550C22semidirect
189. #2545C22semidirect
190. #2544C22semidirect
191. #2543C22semidirect
192. #2541C22semidirect
193. #2540C22semidirect
194. #2540C22semidirect
195. #2540C22semidirect
196. #2538C22semidirect
197. #2537C22semidirect
199. #2521C22semidirect
203. #2492C22semidirect
204. #2491C22semidirect
205. #2491C22semidirect
206. #2491C22semidirect
207. #2490C22semidirect
210. #2485C22semidirect
211. #2481C22semidirect
213. #2479C22semidirect
215. #2471C22semidirect
216. #2469C22semidirect
218. #2467C22semidirect
220. #2464C22semidirect
222. #2458C22semidirect
224. #2456C22semidirect
225. #2454C22semidirect
226. #2454C22semidirect
227. #2453C22semidirect
228. #2452C22semidirect
229. #2443C22semidirect
230. #2442C22semidirect
231. #2442C22semidirect
232. #2441C22semidirect
233. #2440C22semidirect
236. #2432C22semidirect
238. #2431C22semidirect
239. #2428C22semidirect
240. #2428C22semidirect
241. #2428C22semidirect
242. #2427C22semidirect
243. #2426C22semidirect
246. #2417C22semidirect
247. #2417C22semidirect
250. #2416C22semidirect
251. #2416C22semidirect
252. #2416C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
255. #2414C22semidirect
260. #2407C22semidirect
261. #2396C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
266. #2395C22semidirect
267. #2392C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. #2392C22semidirect
273. #2392C22semidirect
276. #2388C22semidirect
277. #2367C22semidirect
278. #2366C22semidirect
279. #2363C22semidirect
280. #2363C22semidirect
281. #2362C22semidirect
282. #2361C22semidirect
283. #2354C22semidirect
284. #2352C22semidirect
289. #2345C22semidirect
290. #2344C22semidirect
291. #2343C22semidirect
292. #2343C22semidirect
294. #2317C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
300. #2274C22semidirect
490. C2×#117D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34932
#429782
#429682
#429632
#429622
#429522
#429282
#424232
#424212
#423032
#423022
#421782
#419952
#419452
#419442
#405242
#405212
#376212
#375582
#375442
#374482
#374442
#374392
#366842
#366522
#360872
#360802
#360282
#360042
#359822
#358302
#357932
#357522
#341802