Finite Group Databasebeta

← #7715268

Subgroups — #7715268

Order 512.

6456 conjugacy classes of subgroups.

The subgroup lattice has 2019 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3550C211yesmaximal, characteristic, complemented
2C2×#3557C211yesmaximal, characteristic, complemented
3#52066C214yesmaximal, complemented
4#52034C214yesmaximal, complemented
5#51591C214yesmaximal, complemented
6#51587C214yesmaximal, complemented
7#47205C214yesmaximal, complemented
8#46827C214yesmaximal, complemented
9#46418C214yesmaximal, complemented
10#46369C214yesmaximal, complemented
11#39741C211yesmaximal, characteristic, complemented
12#39741C211yesmaximal, characteristic, complemented
13#39740C211yesmaximal, characteristic, complemented
14#39739C211yesmaximal, characteristic, complemented
15#39619C211yesmaximal, characteristic, complemented
16#39618C211yesmaximal, characteristic, complemented
17#39617C211yesmaximal, characteristic, complemented
18#39616C211yesmaximal, characteristic, complemented
19#39172C211yesmaximal, characteristic, complemented
20#39171C211yesmaximal, characteristic, complemented
21#39168C211yesmaximal, characteristic, complemented
22#39167C211yesmaximal, characteristic, complemented
23#39164C211yesmaximal, characteristic, complemented
24#39163C211yesmaximal, characteristic, complemented
25#39162C211yesmaximal, characteristic, complemented
26#39161C211yesmaximal, characteristic, complemented
27#37633C211yesmaximal, characteristic, complemented
28#37616C211yesmaximal, characteristic, complemented
29#37421C211yesmaximal, characteristic, complemented
30#37389C211yesmaximal, characteristic, complemented
31#37301C211yesmaximal, characteristic, complemented
32#37299C211yesmaximal, characteristic, complemented
33#35331C211yesmaximal, characteristic, complemented
34#35326C211yesmaximal, characteristic, complemented
35#35318C211yesmaximal, characteristic, complemented
36#35303C211yesmaximal, characteristic, complemented
37#35277C211yesmaximal, characteristic, complemented
38#35276C211yesmaximal, characteristic, complemented
39#34074C211yesmaximal, characteristic, complemented
40#3557—216no—
41#3550—216no—
42C2×#563C2212yes—
43C2×#563C2212yes—
44C2×#563C2212yes—
45C2×#563C2212yes—
46C2×#559C2211yescharacteristic
47C2×#559C2211yescharacteristic
48C2×#559C2211yescharacteristic
49C2×#559C2211yescharacteristic
50C2×Q82C2211yescharacteristic
51C2×Q82C2211yescharacteristic
52C2×#557C2211yescharacteristic
53C2×#557C2211yescharacteristic
54C2×#556C2211yescharacteristic
55C2×#556C2211yescharacteristic
56C2×#556C2211yescharacteristic
57C2×#556C2211yescharacteristic
58C2×#556C2212yes—
59C2×#554C2211yescharacteristic
60C2×#554C2211yescharacteristic
61C2×#552C2212yes—
62C2×#552C2212yes—
63C2×D4×Q8C2211yescharacteristic
64C2×D4×Q8C2212yes—
65C2×D4×Q8C2211yescharacteristic
66C2×#542C2211yescharacteristic
67C2×#542C2211yescharacteristic
68C2×#542C2211yescharacteristic
69C2×#542C2212yes—
70C2×#542C2212yes—
71C2×#542C2211yescharacteristic
72C2×#542C2211yescharacteristic
73C2×#542C2212yes—
74C2×#542C2211yescharacteristic
75C2×#542C2212yes—
76C2×#541C2211yescharacteristic
77C2×#540C2211yescharacteristic
78C2×#539C2212yes—
79C2×#539C2212yes—
80C2×#536C2212yes—
81C2×#536C2212yes—
82C2×#533C2211yescharacteristic
83C2×#533C2211yescharacteristic
84C2×#532C2211yescharacteristic
85C2×#529C2211yescharacteristic
86C2×#529C2211yescharacteristic
87#2868C2211yescharacteristic
88#2862C2211yescharacteristic
89#2862C2211yescharacteristic
90#2861C2211yescharacteristic
91#2861C2211yescharacteristic
92#2858C2211yescharacteristic
93#2858C2211yescharacteristic
94#2858C2211yescharacteristic
95#2857C2211yescharacteristic
96#2857C2211yescharacteristic
97#2856C2211yescharacteristic
98#2856C2211yescharacteristic
99#2850C2211yescharacteristic
100#2850C2211yescharacteristic
101#2850C2211yescharacteristic
102#2850C2211yescharacteristic
103#2814C2214yes—
104#2813C2214yes—
105#2733C2214yes—
106#2732C2214yes—
107#2731C2214yes—
108#2730C2214yes—
109#2730C2214yes—
110#2730C2214yes—
111#2729C2214yes—
112#2728C2214yes—
113#2727C2214yes—
114#2727C2214yes—
115#2725C2214yes—
116#2725C2214yes—
117#2723C2214yes—
118#2723C2214yes—
119#2720C2214yes—
120#2720C2214yes—
121#2716C2214yes—
122#2716C2214yes—
123#2715C2214yes—
124#2713C2214yes—
125#2713C2214yes—
126#2712C2214yes—
127#2707C2214yes—
128#2705C2214yes—
129#2705C2214yes—
130#2705C2214yes—
131#2704C2214yes—
132#2702C2214yes—
133#2702C2214yes—
134#2702C2214yes—
135#2696C2214yes—
136#2696C2214yes—
137#2695C2214yes—
138#2693C2214yes—
139#2692C2214yes—
140#2692C2214yes—
141#2683C2214yes—
142#2682C2214yes—
143#2681C2214yes—
144#2681C2214yes—
145#2677C2214yes—
146#2677C2214yes—
147#2676C2214yes—
148#2674C2214yes—
149#2674C2214yes—
150#2672C2214yes—
151#2672C2214yes—
152#2671C2214yes—
153#2660C2211yescharacteristic
154#2660C2211yescharacteristic
155#2660C2211yescharacteristic
156#2660C2211yescharacteristic
157#2658C2211yescharacteristic
158#2658C2211yescharacteristic
159#2657C2211yescharacteristic
160#2657C2211yescharacteristic
161#2642C2211yescharacteristic
162#2641C2211yescharacteristic
163#2640C2211yescharacteristic
164#2640C2211yescharacteristic
165#2640C2211yescharacteristic
166#2640C2211yescharacteristic
167#2640C2211yescharacteristic
168#2640C2211yescharacteristic
169#2637C2214yes—
170#2636C2214yes—
171#2629C2214yes—
172#2621C2211yescharacteristic
173#2621C2211yescharacteristic
174#2620C2211yescharacteristic
175#2620C2211yescharacteristic
176#2620C2211yescharacteristic
177#2620C2214yes—
178#2620C2211yescharacteristic
179#2619C2211yescharacteristic
180#2619C2211yescharacteristic
181#2611C2214yes—
182#2610C2214yes—
183#2604C2214yes—
184#2603C2214yes—
185#2568C2211yescharacteristic
186#2568C2211yescharacteristic
187#2568C2211yescharacteristic
188#2568C2211yescharacteristic
189#2567C2211yescharacteristic
190#2567C2211yescharacteristic
191#2567C2211yescharacteristic
192#2567C2211yescharacteristic
193#2566C2211yescharacteristic
194#2566C2211yescharacteristic
195#2566C2211yescharacteristic
196#2566C2211yescharacteristic
197#2565C2211yescharacteristic
198#2565C2211yescharacteristic
199#2565C2211yescharacteristic
200#2565C2211yescharacteristic
201#2564C2214yes—
202#2563C2211yescharacteristic
203#2563C2211yescharacteristic
204#2563C2211yescharacteristic
205#2563C2211yescharacteristic
206#2560C2214yes—
207#2560C2214yes—
208#2557C2214yes—
209#2557C2214yes—
210#2556C2214yes—
211#2555C2214yes—
212#2554C2214yes—
213#2553C2214yes—
214#2548C2211yescharacteristic
215#2548C2211yescharacteristic
216#2547C2211yescharacteristic
217#2547C2211yescharacteristic
218#2546C2211yescharacteristic
219#2546C2211yescharacteristic
220#2545C2211yescharacteristic
221#2545C2211yescharacteristic
222#2545C2211yescharacteristic
223#2545C2211yescharacteristic
224#2545C2211yescharacteristic
225#2545C2211yescharacteristic
226#2545C2211yescharacteristic
227#2545C2211yescharacteristic
228#2544C2211yescharacteristic
229#2544C2211yescharacteristic
230#2544C2211yescharacteristic
231#2544C2211yescharacteristic
232#2544C2211yescharacteristic
233#2544C2211yescharacteristic
234#2544C2211yescharacteristic
235#2544C2211yescharacteristic
236#2543C2214yes—
237#2542C2211yescharacteristic
238#2542C2211yescharacteristic
239#2542C2211yescharacteristic
240#2542C2211yescharacteristic
241#2541C2211yescharacteristic
242#2541C2211yescharacteristic
243#2521C2214yes—
244#2519C2214yes—
245#2512C2214yes—
246#2498C2214yes—
247#2491C2214yes—
248#2485C2214yes—
249#2481C2214yes—
250#2479C2214yes—
251#2479C2214yes—
252#2477C2214yes—
253#2475C2214yes—
254#2471C2214yes—
255#2471C2214yes—
256#2469C2214yes—
257#2467C2214yes—
258#2467C2214yes—
259#2464C2214yes—
260#2463C2214yes—
261#2461C2214yes—
262#2460C2214yes—
263#2458C2214yes—
264#2456C2214yes—
265#2456C2214yes—
266#2452C2214yes—
267#2452C2214yes—
268#2451C2214yes—
269#2448C2214yes—
270#2446C2214yes—
271#2443C2214yes—
272#2440C2214yes—
273#2439C2214yes—
274#2436C2214yes—
275#2434C2214yes—
276#2430C2214yes—
277#2429C2214yes—
278#2427C2214yes—
279#2423C2214yes—
280#2422C2214yes—
281#2421C2214yes—
282#2417C2214yes—
283#2415C2214yes—
284#2409C2214yes—
285#2409C2214yes—
286#2407C2214yes—
287#2331C2212yes—
288#2331C2212yes—
289#2330C2212yes—
290#2330C2212yes—
291#2329C2212yes—
292#2329C2212yes—
293#2329C2212yes—
294#2329C2212yes—
295#2328C2211yescharacteristic
296#2328C2211yescharacteristic
297#2328C2211yescharacteristic
298#2328C2211yescharacteristic
299#2327C2211yescharacteristic
300#2327C2211yescharacteristic
301#2327C2211yescharacteristic
302#2327C2211yescharacteristic
303#2326C2211yescharacteristic
304#2326C2211yescharacteristic
305#2326C2211yescharacteristic
306#2326C2211yescharacteristic
307#2326C2211yescharacteristic
308#2326C2211yescharacteristic
309#2326C2211yescharacteristic
310#2326C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×#127C2211yescharacteristic
314C4×#127C2211yescharacteristic
315C4×#124C2211yescharacteristic
316C4×#124C2211yescharacteristic
317C4×#124C2211yescharacteristic
318C4×#124C2211yescharacteristic
319#2296C2211yescharacteristic
320#2296C2211yescharacteristic
321#2295C2211yescharacteristic
322#2295C2211yescharacteristic
323#2295C2211yescharacteristic
324#2295C2211yescharacteristic
325#2295C2211yescharacteristic
326#2295C2211yescharacteristic
327#2295C2211yescharacteristic
328#2295C2211yescharacteristic
329#2285C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C2×#376C2211yescharacteristic
333C22×#41C2312yes—
334C23×Q8C2312yes—
335C23×Q8C2312yes—
336#563—216no—
337#563—216no—
338#563—216no—
339#563—216no—
340#559—28no—
341#559—28no—
342#559—28no—
343#559—28no—
344Q82—28no—
345Q82—28no—
346#557—28no—
347#557—28no—
348#556—216no—
349#556—28no—
350#556—28no—
351#556—28no—
352#556—28no—
353#554—28no—
354#554—28no—
355#552—216no—
356#552—216no—
357D4×Q8—216no—
358D4×Q8—28no—
359D4×Q8—28no—
360#542—216no—
361#542—216no—
362#542—216no—
363#542—216no—
364#542—28no—
365#542—28no—
366#542—28no—
367#542—28no—
368#542—28no—
369#542—28no—
370#541—28no—
371#540—28no—
372#539—216no—
373#539—216no—
374#536—216no—
375#536—216no—
376#533—28no—
377#533D4116yescomplemented
378#532—28no—
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2314yes—
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×#127C2311yescharacteristic
405C2×#127C2311yescharacteristic
406C2×#127C2311yescharacteristic
407C2×#127C2311yescharacteristic
408C2×#127C2311yescharacteristic
409C2×#127C2311yescharacteristic
410#529—28no—
411#529—28no—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#126C2312yes—
424C2×#126C2312yes—
425C2×#126C2312yes—
426C2×#126C2312yes—
427C2×#126C2312yes—
428C2×#126C2312yes—
429C2×#126C2312yes—
430C2×#125C2311yescharacteristic
431C2×#125C2311yescharacteristic
432C2×#125C2311yescharacteristic
433C2×#125C2311yescharacteristic
434C2×#125C2312yes—
435C2×#125C2312yes—
436C2×#125C2312yes—
437C2×#125C2312yes—
438C2×#125C2312yes—
439C2×#125C2312yes—
440C2×#125C2312yes—
441C2×#125C2311yescharacteristic
442C2×#125C2311yescharacteristic
443C2×#124C2311yescharacteristic
444C2×#124C2311yescharacteristic
445C2×#124C2311yescharacteristic
446C2×#124C2311yescharacteristic
447C2×#124C2311yescharacteristic
448C2×#124C2311yescharacteristic
449C2×#124C2311yescharacteristic
450C2×#124C2311yescharacteristic
451C2×#124C2312yes—
452C2×#124C2311yescharacteristic
453C2×#124C2311yescharacteristic
454C2×#124C2312yes—
455C2×#124C2312yes—
456C2×#124C2312yes—
457C2×#124C2312yes—
458C2×#124C2312yes—
459C2×#124C2312yes—
460C2×#124C2312yes—
461C2×#124C2312yes—
462C2×#124C2312yes—
463C2×#124C2312yes—
464C2×#124C2311yescharacteristic
465C2×#124C2311yescharacteristic
466C2×#124C2311yescharacteristic
467C2×#124C2311yescharacteristic
468C2×#124C2311yescharacteristic
469C2×#124C2311yescharacteristic
470C2×#124C2314yes—
471C2×#123C2312yes—
472C2×#123C2312yes—
473C2×#123C2312yes—
474C2×#123C2312yes—
475C2×#123C2312yes—
476C2×#123C2312yes—
477C2×#123C2312yes—
478C2×#123C2312yes—
479C2×#123C2312yes—
480C2×#123C2312yes—
481C2×#123C2312yes—
482C2×#123C2312yes—
483C2×#123C2312yes—
484C2×#123C2312yes—
485C2×#123C2312yes—
486C2×#123C2312yes—
487C2×#123C2312yes—
488C2×#123C2312yes—
489C2×C22⋊Q8C2312yes—
490C2×C22⋊Q8C2312yes—
491C2×C22⋊Q8C2312yes—
492C2×C22⋊Q8C2311yescharacteristic
493C2×C22⋊Q8C2311yescharacteristic
494C2×C22⋊Q8C2311yescharacteristic
495C2×C22⋊Q8C2311yescharacteristic
496C2×C22⋊Q8C2312yes—
497C2×C22⋊Q8C2312yes—
498C2×C22⋊Q8C2312yes—
499C2×C22⋊Q8C2312yes—
500C2×C22⋊Q8C2312yes—
501C2×C22⋊Q8C2312yes—
502C2×C22⋊Q8C2312yes—
503C2×C22⋊Q8C2312yes—
504C2×C22⋊Q8C2312yes—
505C2×C22⋊Q8C2312yes—
506C2×C22⋊Q8C2312yes—
507C2×C22⋊Q8C2312yes—
508C2×C22⋊Q8C2312yes—
509C2×C22⋊Q8C2312yes—
510C2×C22⋊Q8C2312yes—
511C2×C22⋊Q8C2312yes—
512C2×C22⋊Q8C2312yes—
513C2×C22⋊Q8C2312yes—
514C2×C22⋊Q8C2312yes—
515C2×C22⋊Q8C2312yes—
516C2×C22⋊Q8C2314yes—
517C2×C22⋊Q8C2314yes—
518C2×C22⋊Q8C2314yes—
519C2×C22⋊Q8C2314yes—
520C2×C22⋊Q8C2311yescharacteristic
521C2×C22⋊Q8C2311yescharacteristic
522C2×C22⋊Q8C2311yescharacteristic
523C2×C22⋊Q8C2311yescharacteristic
524C2×#121C2311yescharacteristic
525C2×#121C2311yescharacteristic
526C2×#121C2311yescharacteristic
527C2×#121C2311yescharacteristic
528C2×#121C2312yes—
529C2×#121C2312yes—
530C2×#121C2312yes—
531C2×#121C2314yes—
532C2×#121C2314yes—
533C2×#121C2314yes—
534C2×#121C2314yes—
535C2×C4×Q8C2311yescharacteristic
536C2×C4×Q8C2311yescharacteristic
537C2×C4×Q8C2311yescharacteristic
538C2×C4×Q8C2311yescharacteristic
539C2×C4×Q8C2311yescharacteristic
540C2×C4×Q8C2311yescharacteristic
541C2×C4×Q8C2311yescharacteristic
542C2×C4×Q8C2311yescharacteristic
543C2×C4×Q8C2311yescharacteristic
544C2×C4×Q8C2311yescharacteristic
545C2×C4×Q8C2311yescharacteristic
546C2×C4×Q8C2311yescharacteristic
547C2×C4×Q8C2312yes—
548C2×C4×Q8C2312yes—
549C2×C4×Q8C2312yes—
550C2×C4×Q8C2312yes—
551C2×C4×Q8C2312yes—
552C2×C4×Q8C2311yescharacteristic
553C2×C4×Q8C2311yescharacteristic
554C2×C4×Q8C2311yescharacteristic
555C2×C4×Q8C2311yescharacteristic
556C2×C4×D4C2311yescharacteristic
557C2×C4×D4C2311yescharacteristic
558C2×C4×D4C2311yescharacteristic
559C2×C4×D4C2311yescharacteristic
560C2×C4×D4C2311yescharacteristic
561C2×C4×D4C2311yescharacteristic
562C2×C4×D4C2311yescharacteristic
563C2×C4×D4C2312yes—
564C2×C4×D4C2311yescharacteristic
565C2×C4×D4C2311yescharacteristic
566C2×C4×D4C2311yescharacteristic
567C2×C4×D4C2311yescharacteristic
568C2×C4×D4C2311yescharacteristic
569C2×C4×D4C2312yes—
570C2×C4×D4C2312yes—
571C2×C4×D4C2312yes—
572C2×C4×D4C2312yes—
573C2×C4×D4C2312yes—
574C2×C4×D4C2312yes—
575C2×C4×D4C2314yes—
576C2×C4×D4C2314yes—
577C2×#117C2312yes—
578C2×#117C2312yes—
579C2×#117C2312yes—
580C2×#117C2312yes—
581C2×#117C2312yes—
582C2×#117C2312yes—
583C2×#117C2312yes—
584C2×#117C2311yescharacteristic
585C2×#117C2311yescharacteristic
586C2×#117C2311yescharacteristic
587C2×#117C2311yescharacteristic
588C22×C4⋊C4C2312yes—
589C22×C4⋊C4C2312yes—
590C22×C42C2311yescharacteristic
591C22×C42C2311yescharacteristic
592C22×C42C2311yescharacteristic
593#400C2314yes—
594#400C2314yes—
595#400C2314yes—
596#400C2314yes—
597#400C2314yes—
598#400C2314yes—
599#399C2314yes—
600#399C2314yes—
601#399C2314yes—
602#399C2314yes—
603#399C2314yes—
604#399C2314yes—
605#399C2314yes—
606#399C2314yes—
607#398C2314yes—
608#398C2314yes—
609#398C2314yes—
610#398C2314yes—
611#398C2314yes—
612#398C2314yes—
613#398C2314yes—
614#398C2314yes—
615#398C2314yes—
616#398C2314yes—
617#398C2314yes—
618#398C2314yes—
619#397C2314yes—
620#397C2314yes—
621#397C2314yes—
622#397C2314yes—
623#397C2314yes—
624#397C2314yes—
625#397C2314yes—
626#397C2314yes—
627#397C2314yes—
628#397C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#396C2314yes—
636#396C2314yes—
637#396C2314yes—
638#396C2314yes—
639#396C2314yes—
640#396C2314yes—
641#396C2314yes—
642#396C2314yes—
643#396C2314yes—
644#396C2314yes—
645#395C2314yes—
646#395C2314yes—
647#395C2314yes—
648#395C2314yes—
649#395C2314yes—
650#395C2314yes—
651#395C2314yes—
652#395C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#394C2314yes—
670#394C2314yes—
671#393C2314yes—
672#393C2314yes—
673#393C2314yes—
674#393C2314yes—
675#393C2314yes—
676#393C2314yes—
677#393C2314yes—
678#393C2314yes—
679#393C2314yes—
680#393C2314yes—
681#392C2314yes—
682#392C2314yes—
683#392C2314yes—
684#392C2314yes—
685#392C2314yes—
686#392C2314yes—
687#392C2314yes—
688#392C2314yes—
689#391C2314yes—
690#391C2314yes—
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#391C2311yescharacteristic
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2314yes—
706#391C2314yes—
707#391C2314yes—
708#391C2314yes—
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2314yes—
720#390C2314yes—
721#390C2314yes—
722#390C2311yescharacteristic
723#390C2311yescharacteristic
724#390C2311yescharacteristic
725#390C2311yescharacteristic
726#390C2314yes—
727#390C2314yes—
728#390C2311yescharacteristic
729#390C2311yescharacteristic
730#390C2311yescharacteristic
731#390C2311yescharacteristic
732#390C2311yescharacteristic
733#390C2311yescharacteristic
734#390C2311yescharacteristic
735#390C2311yescharacteristic
736#390C2311yescharacteristic
737#390C2311yescharacteristic
738#390C2311yescharacteristic
739#390C2314yes—
740#390C2314yes—
741#390C2314yes—
742#390C2314yes—
743#390C2314yes—
744#390C2311yescharacteristic
745#390C2314yes—
746#390C2314yes—
747#389C2314yes—
748#389C2314yes—
749#389C2314yes—
750#389C2314yes—
751#389C2314yes—
752#389C2314yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2314yes—
766#389C2314yes—
767#389C2314yes—
768#389C2314yes—
769#388C2314yes—
770#388C2314yes—
771#388C2314yes—
772#388C2314yes—
773#388C2314yes—
774#388C2314yes—
775#388C2314yes—
776#388C2314yes—
777#388C2314yes—
778#388C2314yes—
779#388C2314yes—
780#388C2314yes—
781#388C2314yes—
782#388C2314yes—
783#388C2314yes—
784#388C2314yes—
785#388C2314yes—
786#388C2314yes—
787#388C2314yes—
788#388C2314yes—
789#388C2314yes—
790#388C2314yes—
791#388C2314yes—
792#388C2314yes—
793#388C2314yes—
794#388C2314yes—
795#388C2314yes—
796#388C2314yes—
797#387C2314yes—
798#387C2314yes—
799#387C2314yes—
800#387C2314yes—
801#387C2314yes—
802#387C2314yes—
803#387C2314yes—
804#387C2314yes—
805#387C2314yes—
806#387C2314yes—
807#387C2314yes—
808#387C2314yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#386C2314yes—
826#386C2314yes—
827#386C2314yes—
828#386C2314yes—
829#386C2314yes—
830#386C2314yes—
831#386C2314yes—
832#386C2314yes—
833#386C2314yes—
834#386C2314yes—
835#386C2314yes—
836#386C2314yes—
837#386C2314yes—
838#386C2314yes—
839#386C2314yes—
840#386C2314yes—
841#386C2314yes—
842#386C2314yes—
843#386C2314yes—
844#386C2314yes—
845#385C2314yes—
846#385C2314yes—
847#385C2314yes—
848#385C2314yes—
849#385C2314yes—
850#385C2314yes—
851#385C2314yes—
852#385C2314yes—
853#385C2314yes—
854#385C2314yes—
855#385C2314yes—
856#385C2314yes—
857#385C2312yes—
858#385C2312yes—
859#385C2312yes—
860#385C2312yes—
861#384C2311yescharacteristic
862#384C2311yescharacteristic
863#384C2311yescharacteristic
864#384C2311yescharacteristic
865#384C2311yescharacteristic
866#384C2311yescharacteristic
867#384C2311yescharacteristic
868#384C2311yescharacteristic
869#384C2312yes—
870#384C2314yes—
871#382C2311yescharacteristic
872#382C2311yescharacteristic
873#382C2311yescharacteristic
874#382C2311yescharacteristic
875#382C2311yescharacteristic
876#382C2311yescharacteristic
877#382C2311yescharacteristic
878#382C2311yescharacteristic
879#382C2312yes—
880#382C2314yes—
881#380C2314yes—
882#380C2314yes—
883#380C2314yes—
884#380C2314yes—
885#380C2314yes—
886#380C2314yes—
887#380C2312yes—
888#380C2312yes—
889#380C2314yes—
890#380C2314yes—
891C4×C4⋊C4C2312yes—
892C4×C4⋊C4C2312yes—
893C4×C4⋊C4C2314yes—
894C4×C4⋊C4C2314yes—
895C4×C4⋊C4C2311yescharacteristic
896C4×C4⋊C4C2311yescharacteristic
897C4×C4⋊C4C2311yescharacteristic
898C4×C4⋊C4C2311yescharacteristic
899C4×C4⋊C4C2311yescharacteristic
900C4×C4⋊C4C2311yescharacteristic
901C4×C4⋊C4C2311yescharacteristic
902C4×C4⋊C4C2311yescharacteristic
903C4×C4⋊C4C2311yescharacteristic
904C4×C4⋊C4C2311yescharacteristic
905C4×C4⋊C4C2311yescharacteristic
906C4×C4⋊C4C2311yescharacteristic
907C4×C4⋊C4C2312yes—
908C4×C4⋊C4C2312yes—
909C4×C22⋊C4C2314yes—
910C4×C22⋊C4C2314yes—
911C4×C22⋊C4C2312yes—
912C4×C22⋊C4C2312yes—
913C4×C22⋊C4C2312yes—
914C4×C22⋊C4C2312yes—
915C4×C22⋊C4C2314yes—
916C4×C22⋊C4C2314yes—
917#376C2311yescharacteristic
918#376C2311yescharacteristic
919#376C2311yescharacteristic
920#376C2311yescharacteristic
921#376C2311yescharacteristic
922#376C2311yescharacteristic
923#376C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2312yes—
926#376C2312yes—
927C2×#95C2312yes—
928C2×#95C2312yes—
929C43C2311yescharacteristic
930C43C2311yescharacteristic
931C43C2311yescharacteristic
932C43C2311yescharacteristic
933C2×#41—28no—
934C2×#41—84no—
935C22×Q8—28no—
936C22×Q8—28no—
937C22×Q8—84no—
938C22×Q8—84no—
939C22×Q8C2411yescharacteristic
940C22×Q8C2411yescharacteristic
941C22×Q8C2411yescharacteristic
942C22×Q8C2411yescharacteristic
943C22×Q8C2412yes—
944C22×Q8C2412yes—
945C22×Q8C2412yes—
946C22×Q8C2412yes—
947C22×Q8C2412yes—
948C22×Q8C2412yes—
949C22×Q8C2412yes—
950C22×Q8C2412yes—
951C22×Q8C2411yescharacteristic
952C22×Q8C2411yescharacteristic
953C22×Q8C2411yescharacteristic
954C22×Q8C2411yescharacteristic
955C22×D4C2411yescharacteristic
956C22×D4C2411yescharacteristic
957C22×D4C2411yescharacteristic
958C22×D4C2411yescharacteristic
959C22×D4C2412yes—
960C22×D4C2412yes—
961C22×D4C2412yes—
962C22×D4C2412yes—
963C22×D4C2412yes—
964C22×D4C2414yes—
965C22×D4C2412yes—
966C22×D4C2412yes—
967C22×D4C2412yes—
968C22×D4C2414yes—
969C22×D4C2414yes—
970C22×D4C2414yes—
971C23×C4C2411yescharacteristic
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2412yes—
975C23×C4C2412yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2411yescharacteristic
987C23×C4C2411yescharacteristic
988C4⋊Q8—28no—
989C4⋊Q8—28no—
990C4⋊Q8—28no—
991C4⋊Q8—28no—
992C4⋊Q8—28no—
993C4⋊Q8—28no—
994C4⋊Q8—28no—
995C4⋊Q8—28no—
996C4⋊Q8—24no—
997C4⋊Q8—24no—
998C4⋊Q8—24no—
999C4⋊Q8—24no—
1000C4⋊Q8—24no—
1001C4⋊Q8—24no—
1002C4⋊Q8—24no—
1003C4⋊Q8—24no—
1004C4⋊Q8—24no—
1005C4⋊Q8—24no—
1006C4⋊Q8—24no—
1007C4⋊Q8—42no—
1008C4⋊Q8—42no—
1009C4⋊Q8—42no—
1010C4⋊Q8—84no—
1011C4⋊Q8C2×D418yes—
1012C4⋊Q8C2×D418yes—
1013#127—24no—
1014#127—24no—
1015#127—24no—
1016#127—42no—
1017#127—42no—
1018#127—42no—
1019#126—28no—
1020#126—28no—
1021#126—28no—
1022#126—28no—
1023#126—28no—
1024#126—28no—
1025#126—28no—
1026#126—28no—
1027#126—28no—
1028#126—28no—
1029#126—28no—
1030#126—28no—
1031#126—28no—
1032#126—28no—
1033#126—28no—
1034#126—28no—
1035#126—28no—
1036#126—28no—
1037#125—28no—
1038#125—28no—
1039#125—28no—
1040#125—28no—
1041#125—28no—
1042#125—28no—
1043#125—24no—
1044#125—24no—
1045#125—28no—
1046#125—24no—
1047#125—24no—
1048#125C2×D418yes—
1049#125C2×D418yes—
1050#124—28no—
1051#124—28no—
1052#124—28no—
1053#124—28no—
1054#124—28no—
1055#124—28no—
1056#124—28no—
1057#124—28no—
1058#124—28no—
1059#124—28no—
1060#124—24no—
1061#124—24no—
1062#124—28no—
1063#124—24no—
1064#124—24no—
1065#124—24no—
1066#124—24no—
1067#124—24no—
1068#124—24no—
1069#124—24no—
1070#124—24no—
1071#124—42no—
1072#124—42no—
1073#124—42no—
1074#124—42no—
1075#124—42no—
1076#124—42no—
1077#124—84no—
1078#123—28no—
1079#123—28no—
1080#123—28no—
1081#123—28no—
1082#123—28no—
1083#123—28no—
1084#123—28no—
1085#123—28no—
1086#123—28no—
1087#123—28no—
1088#123—28no—
1089#123—28no—
1090#123—28no—
1091#123—28no—
1092#123—28no—
1093#123—28no—
1094#123—28no—
1095#123—28no—
1096C22⋊Q8—28no—
1097C22⋊Q8—28no—
1098C22⋊Q8—28no—
1099C22⋊Q8—28no—
1100C22⋊Q8—28no—
1101C22⋊Q8—28no—
1102C22⋊Q8—24no—
1103C22⋊Q8—24no—
1104C22⋊Q8—28no—
1105C22⋊Q8—24no—
1106C22⋊Q8—24no—
1107C22⋊Q8—28no—
1108C22⋊Q8—28no—
1109C22⋊Q8—28no—
1110C22⋊Q8—28no—
1111C22⋊Q8—28no—
1112C22⋊Q8—28no—
1113C22⋊Q8—28no—
1114C22⋊Q8—28no—
1115C22⋊Q8—28no—
1116C22⋊Q8—28no—
1117C22⋊Q8—28no—
1118C22⋊Q8—28no—
1119C22⋊Q8—28no—
1120C22⋊Q8—28no—
1121C22⋊Q8—28no—
1122C22⋊Q8—28no—
1123C22⋊Q8—84no—
1124C22⋊Q8—84no—
1125C22⋊Q8—84no—
1126C22⋊Q8—84no—
1127C22⋊Q8C2×D418yes—
1128C22⋊Q8C2×D418yes—
1129C22⋊Q8C2×D418yes—
1130C22⋊Q8C2×D418yes—
1131#121—24no—
1132#121—24no—
1133#121—24no—
1134#121—24no—
1135#121—28no—
1136#121—28no—
1137#121—28no—
1138#121—84no—
1139#121—84no—
1140#121—84no—
1141#121—84no—
1142C4×Q8—28no—
1143C4×Q8—28no—
1144C4×Q8—28no—
1145C4×Q8—28no—
1146C4×Q8—24no—
1147C4×Q8—24no—
1148C4×Q8—28no—
1149C4×Q8—24no—
1150C4×Q8—24no—
1151C4×Q8—24no—
1152C4×Q8—24no—
1153C4×Q8—24no—
1154C4×Q8—24no—
1155C4×Q8—24no—
1156C4×Q8—24no—
1157C4×Q8—24no—
1158C4×Q8—24no—
1159C4×Q8C2×D418yes—
1160C4×Q8C2×D418yes—
1161C4×Q8C2×D418yes—
1162C4×Q8C2×D418yes—
1163C4×D4—28no—
1164C4×D4—28no—
1165C4×D4—28no—
1166C4×D4—28no—
1167C4×D4—28no—
1168C4×D4—28no—
1169C4×D4—24no—
1170C4×D4—24no—
1171C4×D4—24no—
1172C4×D4—24no—
1173C4×D4—28no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—24no—
1177C4×D4—24no—
1178C4×D4—24no—
1179C4×D4—24no—
1180C4×D4—24no—
1181C4×D4—24no—
1182C4×D4—84no—
1183C4×D4—84no—
1184#117—28no—
1185#117—28no—
1186#117—28no—
1187#117—28no—
1188#117—28no—
1189#117—28no—
1190#117—28no—
1191#117—42no—
1192#117—42no—
1193#117C2×D418yes—
1194#117C2×D418yes—
1195C2×C4⋊C4—28no—
1196C2×C4⋊C4—28no—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2411yescharacteristic
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2414yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2414yes—
1245C2×C4⋊C4C2414yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2414yes—
1249C2×C4⋊C4C2414yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2414yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2414yes—
1256C2×C4⋊C4C2414yes—
1257C2×C4⋊C4C2414yes—
1258C2×C4⋊C4C2414yes—
1259C2×C4⋊C4C2414yes—
1260C2×C4⋊C4C2414yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2414yes—
1320C2×C22⋊C4C2414yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2414yes—
1324C2×C22⋊C4C2414yes—
1325C2×C22⋊C4C2414yes—
1326C2×C22⋊C4C2414yes—
1327C2×C22⋊C4C2414yes—
1328C2×C22⋊C4C2414yes—
1329C2×C22⋊C4C2414yes—
1330C2×C22⋊C4C2414yes—
1331C2×C22⋊C4C2414yes—
1332C2×C22⋊C4C2414yes—
1333C2×C22⋊C4C2414yes—
1334C2×C22⋊C4C2414yes—
1335C2×C22⋊C4C2414yes—
1336C2×C22⋊C4C2414yes—
1337C2×C22⋊C4C2414yes—
1338C2×C22⋊C4C2414yes—
1339C2×C22⋊C4C2414yes—
1340C2×C22⋊C4C2414yes—
1341C2×C22⋊C4C2414yes—
1342C2×C22⋊C4C2414yes—
1343C2×C22⋊C4C2414yes—
1344C2×C22⋊C4C2414yes—
1345C2×C22⋊C4C2411yescharacteristic
1346C2×C22⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2411yescharacteristic
1349C2×C42—24no—
1350C2×C42—42no—
1351C2×C42C2×D418yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2411yescharacteristic
1363C2×C42C2411yescharacteristic
1364C2×C42C2411yescharacteristic
1365C2×C42C2411yescharacteristic
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2411yescharacteristic
1369C2×C42C2411yescharacteristic
1370C2×C42C2411yescharacteristic
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2411yescharacteristic
1382C2×C42C2411yescharacteristic
1383C2×C42C2411yescharacteristic
1384C2×C42C2411yescharacteristic
1385C2×C42C2411yescharacteristic
1386C2×C42C2411yescharacteristic
1387C2×C42C2411yescharacteristic
1388C2×C42C2411yescharacteristic
1389C2×C42C2411yescharacteristic
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2414yes—
1407#95C2414yes—
1408#95C2414yes—
1409#95C2414yes—
1410#95C2414yes—
1411#95C2414yes—
1412#95C2414yes—
1413#95C2414yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2414yes—
1419#95C2414yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2414yes—
1429#95C2414yes—
1430#95C2414yes—
1431#95C2414yes—
1432#95C2414yes—
1433#95C2414yes—
1434#95C2414yes—
1435#95C2414yes—
1436#95C2414yes—
1437#95C2414yes—
1438#95C2414yes—
1439#95C2414yes—
1440#95C2414yes—
1441#95C2414yes—
1442C24C2512yes—
1443C24C2512yes—
1444C24C2512yes—
1445C24C2512yes—
1446C24C2511yescharacteristic
1447#41—816no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—24no—
1453C2×Q8—24no—
1454C2×Q8—24no—
1455C2×Q8—24no—
1456C2×Q8—24no—
1457C2×Q8—24no—
1458C2×Q8—24no—
1459C2×Q8—24no—
1460C2×Q8—22no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—22no—
1468C2×Q8—42no—
1469C2×Q8—42no—
1470C2×Q8—44no—
1471C2×Q8—42no—
1472C2×Q8—42no—
1473C2×Q8—44no—
1474C2×Q8—44no—
1475C2×Q8—44no—
1476C2×Q8—44no—
1477C2×Q8—44no—
1478C2×Q8—44no—
1479C2×Q8—44no—
1480C2×Q8—816no—
1481C2×Q8—816no—
1482C2×Q8C22×D414yes—
1483C2×Q8C22×D414yes—
1484C2×Q8C22×D414yes—
1485C2×Q8C22×D414yes—
1486C2×D4—24no—
1487C2×D4—24no—
1488C2×D4—24no—
1489C2×D4—24no—
1490C2×D4—24no—
1491C2×D4—22no—
1492C2×D4—22no—
1493C2×D4—22no—
1494C2×D4—22no—
1495C2×D4—24no—
1496C2×D4—24no—
1497C2×D4—24no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—28no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
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—44no—
1523C2×D4—44no—
1524C2×D4—44no—
1525C2×D4—44no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—24no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—24no—
1534C22×C4—24no—
1535C22×C4—24no—
1536C22×C4—24no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—42no—
1542C22×C4—44no—
1543C22×C4—44no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—44no—
1549C22×C4—44no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—44no—
1553C22×C4—44no—
1554C22×C4—44no—
1555C22×C4—42no—
1556C22×C4—44no—
1557C22×C4—44no—
1558C22×C4—44no—
1559C22×C4—42no—
1560C22×C4C22×D414yes—
1561C22×C4C22×D414yes—
1562C22×C4C22×D414yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2512yes—
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2511yescharacteristic
1583C22×C4C2511yescharacteristic
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C22×C4C2511yescharacteristic
1587C22×C4C2511yescharacteristic
1588C22×C4C2511yescharacteristic
1589C22×C4C2511yescharacteristic
1590C22×C4C2511yescharacteristic
1591C22×C4C2511yescharacteristic
1592C22×C4C2511yescharacteristic
1593C22×C4C2511yescharacteristic
1594C22×C4C2511yescharacteristic
1595C22×C4C2512yes—
1596C22×C4C2511yescharacteristic
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—22no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—22no—
1615C4⋊C4—22no—
1616C4⋊C4—24no—
1617C4⋊C4—22no—
1618C4⋊C4—22no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—28no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—44no—
1651C4⋊C4—44no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—44no—
1655C4⋊C4—44no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—44no—
1661C4⋊C4—44no—
1662C4⋊C4—44no—
1663C4⋊C4—44no—
1664C4⋊C4—44no—
1665C4⋊C4—44no—
1666C4⋊C4—44no—
1667C4⋊C4C22×D414yes—
1668C4⋊C4C22×D414yes—
1669C4⋊C4C22×D414yes—
1670C4⋊C4C22×D414yes—
1671C4⋊C4C22×D414yes—
1672C4⋊C4C22×D414yes—
1673C4⋊C4C22×D414yes—
1674C4⋊C4C22×D414yes—
1675C4⋊C4C22×D414yes—
1676C4⋊C4C22×D414yes—
1677C4⋊C4C22×D414yes—
1678C4⋊C4C22×D414yes—
1679C4⋊C4C22×D414yes—
1680C4⋊C4C22×D414yes—
1681C4⋊C4C22×D414yes—
1682C4⋊C4C22×D414yes—
1683C22⋊C4—24no—
1684C22⋊C4—24no—
1685C22⋊C4—24no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—24no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—28no—
1720C22⋊C4—28no—
1721C22⋊C4—44no—
1722C22⋊C4—44no—
1723C22⋊C4—44no—
1724C22⋊C4—44no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—44no—
1728C22⋊C4—44no—
1729C22⋊C4—44no—
1730C22⋊C4—44no—
1731C22⋊C4—44no—
1732C22⋊C4—44no—
1733C22⋊C4—44no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—44no—
1737C22⋊C4—44no—
1738C22⋊C4—44no—
1739C22⋊C4—44no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—44no—
1745C22⋊C4C22×D414yes—
1746C22⋊C4C22×D414yes—
1747C22⋊C4C22×D414yes—
1748C22⋊C4C22×D414yes—
1749C42—24no—
1750C42—24no—
1751C42—24no—
1752C42—24no—
1753C42—24no—
1754C42—24no—
1755C42—24no—
1756C42—24no—
1757C42—24no—
1758C42—24no—
1759C42—24no—
1760C42—24no—
1761C42—24no—
1762C42—22no—
1763C42—22no—
1764C42—22no—
1765C42—22no—
1766C42—22no—
1767C42—22no—
1768C42—22no—
1769C42—42no—
1770C42—42no—
1771C42—42no—
1772C42—42no—
1773C42—42no—
1774C42—42no—
1775C42—42no—
1776C42—42no—
1777C42—42no—
1778C42C22×D414yes—
1779C42C22×D414yes—
1780C42C22×D414yes—
1781C42C22×D414yes—
1782C42C22×D414yes—
1783C42C22×D414yes—
1784C42C22×D414yes—
1785C42C22×D414yes—
1786C422−1+414yes—
1787C23—21no—
1788C23—21no—
1789C23—22no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—22no—
1795C23—22no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—22no—
1802C23—22no—
1803C23—24no—
1804C23—24no—
1805C23—24no—
1806C23—24no—
1807C23—24no—
1808C23—24no—
1809C23—24no—
1810C23—24no—
1811C23C23×D412yes—
1812C23C2611yescharacteristic
1813Q8—44no—
1814Q8—44no—
1815Q8—44no—
1816Q8—44no—
1817Q8—48no—
1818Q8—44no—
1819Q8—44no—
1820Q8—44no—
1821Q8—44no—
1822Q8—84no—
1823Q8—84no—
1824Q8—84no—
1825Q8—84no—
1826Q8—84no—
1827Q8—84no—
1828Q8—84no—
1829D4—48no—
1830D4—44no—
1831D4—44no—
1832D4—44no—
1833D4—44no—
1834D4—84no—
1835D4—84no—
1836D4—88no—
1837D4—84no—
1838D4—84no—
1839D4—84no—
1840D4—84no—
1841D4—84no—
1842D4—88no—
1843D4—164no—
1844D4—164no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—28no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—24no—
1896C2×C4—22no—
1897C2×C4—24no—
1898C2×C4—24no—
1899C2×C4—24no—
1900C2×C4—24no—
1901C2×C4—24no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—24no—
1909C2×C4—24no—
1910C2×C4—22no—
1911C2×C4—44no—
1912C2×C4—44no—
1913C2×C4—48no—
1914C2×C4—48no—
1915C2×C4—84no—
1916C2×C4—84no—
1917C2×C4—84no—
1918C2×C4—84no—
1919C2×C4—84no—
1920C2×C4—84no—
1921C2×C4—84no—
1922C2×C4—84no—
1923C2×C4—84no—
1924C2×C4—84no—
1925C2×C4—84no—
1926C2×C4—84no—
1927C2×C4C23×D412yes—
1928C2×C4C23×D412yes—
1929C2×C4C23×D412yes—
1930C2×C4C23×D412yes—
1931C2×C4C23×D412yes—
1932C2×C4C23×D412yes—
1933C2×C4C23×D412yes—
1934C2×C4C23×D412yes—
1935C2×C4C23×D412yes—
1936C2×C4C23×D412yes—
1937C2×C4C23×D412yes—
1938C2×C4C23×D412yes—
1939C2×C4C23×D412yes—
1940C2×C4C23×D412yes—
1941C2×C4C2×2−1+414yes—
1942C2×C4C2×2−1+412yes—
1943C2×C4#58512yes—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—44no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22C24×D411yescharacteristic
1970C22C22×2−1+411yescharacteristic
1971C22C2×#58511yescharacteristic
1972C22H(7,𝔽2)12yes—
1973C222−1+612yes—
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—22no—
1982C4—22no—
1983C4—22no—
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—24no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4#349714yes—
2008C2—42no—
2009C2—82no—
2010C2—82no—
2011C2—82no—
2012C2—82no—
2013C2C2×#349711yescharacteristic
2014C2#6285211yescharacteristic
2015C2#6285911yescharacteristic
2016C2#6287912yes—
2017C2#6288212yes—
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×#3550C2semidirect
2. C2×#3557C2semidirect
3. #52066C2semidirect
4. #52034C2semidirect
5. #51591C2semidirect
6. #51587C2semidirect
7. #47205C2semidirect
8. #46827C2semidirect
9. #46418C2semidirect
10. #46369C2semidirect
11. #39741C2semidirect
12. #39741C2semidirect
13. #39740C2semidirect
14. #39739C2semidirect
15. #39619C2semidirect
16. #39618C2semidirect
17. #39617C2semidirect
18. #39616C2semidirect
19. #39172C2semidirect
20. #39171C2semidirect
21. #39168C2semidirect
22. #39167C2semidirect
23. #39164C2semidirect
24. #39163C2semidirect
25. #39162C2semidirect
26. #39161C2semidirect
27. #37633C2semidirect
28. #37616C2semidirect
29. #37421C2semidirect
30. #37389C2semidirect
31. #37301C2semidirect
32. #37299C2semidirect
33. #35331C2semidirect
34. #35326C2semidirect
35. #35318C2semidirect
36. #35303C2semidirect
37. #35277C2semidirect
38. #35276C2semidirect
39. #34074C2semidirect
377. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35502
C2×#35572
#520662
#520342
#515912
#515872
#472052
#468272
#464182
#463692
#397412
#397402
#397392
#396192
#396182
#396172
#396162
#391722
#391712
#391682
#391672
#391642
#391632
#391622
#391612
#376332
#376162
#374212
#373892
#373012
#372992
#353312
#353262
#353182
#353032
#352772
#352762
#340742