Finite Group Databasebeta

← #8709068

Subgroups — #8709068

Order 512.

6128 conjugacy classes of subgroups.

The subgroup lattice has 2550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59409C212yesmaximal, complemented
2#59407C212yesmaximal, complemented
3#59131C212yesmaximal, complemented
4#58994C212yesmaximal, complemented
5#58993C211yesmaximal, characteristic, complemented
6#56660C211yesmaximal, characteristic, complemented
7#55580C212yesmaximal, complemented
8#55417C212yesmaximal, complemented
9#55307C212yesmaximal, complemented
10#55278C212yesmaximal, complemented
11#55151C212yesmaximal, complemented
12#53908C212yesmaximal, complemented
13#53462C211yesmaximal, characteristic, complemented
14#52340C212yesmaximal, complemented
15#52309C211yesmaximal, characteristic, complemented
16C2×#2712C211yesmaximal, characteristic, complemented
17#47141C211yesmaximal, characteristic, complemented
18#47123C212yesmaximal, complemented
19#47108C212yesmaximal, complemented
20#46836C211yesmaximal, characteristic, complemented
21#44325C211yesmaximal, characteristic, complemented
22#44203C212yesmaximal, complemented
23#43910C212yesmaximal, complemented
24#43667C212yesmaximal, complemented
25#43244C211yesmaximal, characteristic, complemented
26#43175C211yesmaximal, characteristic, complemented
27#41410C211yesmaximal, characteristic, complemented
28#41174C211yesmaximal, characteristic, complemented
29#41030C212yesmaximal, complemented
30#40722C212yesmaximal, complemented
31#40593C212yesmaximal, complemented
32#40586C211yesmaximal, characteristic, complemented
33#38596C212yesmaximal, complemented
34#38545C212yesmaximal, complemented
35#38364C212yesmaximal, complemented
36#38038C211yesmaximal, characteristic, complemented
37#37716C212yesmaximal, complemented
38#35750C212yesmaximal, complemented
39#35680C211yesmaximal, characteristic, complemented
40C22×H(5,𝔽2)C2211yescharacteristic
41C2×#553C2211yescharacteristic, complemented
42C2×#548C2212yescomplemented
43C2×#547C2212yescomplemented
44C2×#546C2212yes—
45C2×#546C2211yescharacteristic
46C2×#546C2212yescomplemented
47C2×#546C2212yescomplemented
48C2×D42C2212yes—
49C2×#538C2212yescomplemented
50C22×#124C2212yescomplemented
51C2×#525C2212yescomplemented
52C22×#123C2211yescharacteristic, complemented
53#2852C2212yescomplemented
54#2849C2211yescharacteristic, complemented
55#2837C2212yescomplemented
56#2837C2212yescomplemented
57#2837C2212yescomplemented
58#2829C2212yescomplemented
59#2829C2212yescomplemented
60#2829C2212yescomplemented
61#2828C2212yescomplemented
62#2828C2212yescomplemented
63#2826C2211yescharacteristic, complemented
64#2825C2212yescomplemented
65#2820C2211yescharacteristic, complemented
66#2819C2212yescomplemented
67#2816C2212yescomplemented
68#2815C2211yescharacteristic, complemented
69#2815C2212yescomplemented
70#2815C2211yescharacteristic, complemented
71#2813C2212yescomplemented
72#2806C2212yescomplemented
73#2803C2212yescomplemented
74#2803C2212yescomplemented
75#2803C2212yescomplemented
76#2801C2212yescomplemented
77#2800C2212yescomplemented
78#2797C2212yescomplemented
79#2788C2212yescomplemented
80#2786C2212yescomplemented
81#2781C2212yescomplemented
82#2768C2212yescomplemented
83#2764C2212yescomplemented
84#2764C2211yescharacteristic, complemented
85#2759C2212yescomplemented
86#2756C2212yescomplemented
87#2756C2212yescomplemented
88#2754C2212yescomplemented
89#2752C2211yescharacteristic, complemented
90#2751C2212yescomplemented
91#2751C2212yescomplemented
92#2751C2212yescomplemented
93#2749C2212yescomplemented
94#2742C2212yescomplemented
95#2740C2212yescomplemented
96#2737C2212yescomplemented
97#2737C2212yescomplemented
98#2736C2212yescomplemented
99#2735C2212yescomplemented
100#2733C2212yescomplemented
101#2732C2212yescomplemented
102#2730C2212yescomplemented
103#2730C2212yescomplemented
104#2730C2212yescomplemented
105#2730C2212yescomplemented
106#2728C2212yescomplemented
107#2724C2212yescomplemented
108#2723C2212yescomplemented
109#2723C2212yescomplemented
110#2723C2212yescomplemented
111#2717C2212yescomplemented
112#2715C2212yescomplemented
113#2715C2212yescomplemented
114#2714C2212yescomplemented
115#2714C2212yescomplemented
116#2714C2212yescomplemented
117#2712C2212yescomplemented
118#2712C2212yescomplemented
119#2712C2212yescomplemented
120#2712C2212yescomplemented
121#2712C2211yescharacteristic, complemented
122#2712C2211yescharacteristic, complemented
123#2712C2211yescharacteristic, complemented
124#2712C2212yescomplemented
125#2712C2212yescomplemented
126#2712C2211yescharacteristic, complemented
127#2710C2212yescomplemented
128#2710C2212yescomplemented
129#2710C2212yescomplemented
130#2708C2212yescomplemented
131#2707C2212yescomplemented
132#2706C2212yescomplemented
133#2705C2212yescomplemented
134#2705C2212yescomplemented
135#2703C2212yescomplemented
136#2702C2212yescomplemented
137#2702C2212yescomplemented
138#2701C2212yescomplemented
139#2700C2212yescomplemented
140#2700C2212yescomplemented
141#2699C2212yescomplemented
142#2699C2212yescomplemented
143#2697C2212yescomplemented
144#2693C2211yescharacteristic, complemented
145#2692C2212yescomplemented
146#2692C2212yescomplemented
147#2688C2212yescomplemented
148#2687C2212yescomplemented
149#2687C2212yescomplemented
150#2686C2212yescomplemented
151#2685C2212yescomplemented
152#2684C2212yescomplemented
153#2681C2212yescomplemented
154#2681C2212yescomplemented
155#2678C2212yescomplemented
156#2678C2212yescomplemented
157#2677C2211yescharacteristic, complemented
158#2676C2212yescomplemented
159#2676C2212yescomplemented
160#2676C2212yescomplemented
161#2675C2211yescharacteristic, complemented
162#2675C2211yescharacteristic, complemented
163#2673C2212yescomplemented
164#2672C2212yescomplemented
165#2672C2212yescomplemented
166#2672C2212yescomplemented
167#2671C2212yescomplemented
168#2670C2212yescomplemented
169#2670C2212yescomplemented
170#2670C2212yescomplemented
171#2670C2212yescomplemented
172#2670C2212yescomplemented
173#2668C2212yescomplemented
174#2668C2212yescomplemented
175#2665C2212yescomplemented
176#2662C2212yescomplemented
177#2656C2211yescharacteristic, complemented
178#2653C2212yescomplemented
179#2651C2212yescomplemented
180#2635C2212yescomplemented
181#2633C2211yescharacteristic, complemented
182#2632C2212yescomplemented
183#2631C2211yescharacteristic, complemented
184#2631C2212yescomplemented
185#2631C2212yescomplemented
186#2630C2212yescomplemented
187#2630C2212yescomplemented
188#2627C2211yescharacteristic, complemented
189#2626C2212yescomplemented
190#2624C2211yescharacteristic, complemented
191#2622C2211yescharacteristic, complemented
192#2617C2211yescharacteristic, complemented
193#2616C2212yescomplemented
194#2615C2211yescharacteristic
195#2615C2212yescomplemented
196#2613C2211yescharacteristic
197#2613C2211yescharacteristic
198#2613C2212yescomplemented
199#2613C2212yescomplemented
200#2602C2212yescomplemented
201#2600C2212yescomplemented
202#2600C2211yescharacteristic, complemented
203#2589C2212yescomplemented
204#2586C2212yescomplemented
205#2583C2211yescharacteristic, complemented
206#2580C2212yescomplemented
207#2579C2212yescomplemented
208#2579C2211yescharacteristic, complemented
209#2578C2212yescomplemented
210#2576C2212yescomplemented
211#2574C2212yescomplemented
212#2574C2212yescomplemented
213#2561C2212yescomplemented
214#2561C2212yescomplemented
215#2560C2212yescomplemented
216#2560C2212yescomplemented
217#2559C2212yescomplemented
218#2557C2212yescomplemented
219#2557C2212yescomplemented
220#2557C2212yescomplemented
221#2557C2212yescomplemented
222#2556C2212yescomplemented
223#2555C2212yescomplemented
224#2555C2212yescomplemented
225#2555C2212yescomplemented
226#2554C2212yescomplemented
227#2554C2212yescomplemented
228#2549C2212yescomplemented
229#2549C2212yescomplemented
230#2544C2212yescomplemented
231#2543C2212yescomplemented
232#2540C2212yescomplemented
233#2539C2211yescharacteristic, complemented
234#2539C2212yescomplemented
235#2535C2211yescharacteristic, complemented
236#2534C2212yescomplemented
237#2534C2212yescomplemented
238#2523C2211yescharacteristic, complemented
239#2523C2212yescomplemented
240#2518C2212yescomplemented
241#2510C2212yescomplemented
242#2504C2211yescharacteristic, complemented
243#2498C2212yescomplemented
244#2493C2212yescomplemented
245#2492C2212yescomplemented
246#2486C2212yescomplemented
247#2483C2211yescharacteristic, complemented
248#2483C2211yescharacteristic, complemented
249#2482C2211yescharacteristic, complemented
250#2482C2212yescomplemented
251#2480C2212yescomplemented
252#2480C2212yescomplemented
253#2480C2212yescomplemented
254#2474C2212yescomplemented
255#2472C2212yescomplemented
256#2472C2212yescomplemented
257#2472C2212yescomplemented
258#2472C2212yescomplemented
259#2468C2212yescomplemented
260#2464C2212yescomplemented
261#2464C2212yescomplemented
262#2463C2211yescharacteristic, complemented
263#2459C2212yescomplemented
264#2459C2212yescomplemented
265#2456C2212yescomplemented
266#2456C2212yescomplemented
267#2456C2212yescomplemented
268#2455C2211yescharacteristic, complemented
269#2452C2212yescomplemented
270#2451C2212yescomplemented
271#2450C2212yescomplemented
272#2449C2212yescomplemented
273#2449C2212yescomplemented
274#2447C2212yescomplemented
275#2445C2212yescomplemented
276#2443C2212yescomplemented
277#2437C2212yescomplemented
278#2436C2212yescomplemented
279#2435C2212yescomplemented
280#2435C2212yescomplemented
281#2433C2211yescharacteristic
282#2432C2212yescomplemented
283#2432C2212yescomplemented
284#2431C2212yes—
285#2431C2212yescomplemented
286#2430C2211yescharacteristic
287#2430C2211yescharacteristic
288#2430C2212yes—
289#2430C2212yescomplemented
290#2430C2212yescomplemented
291#2430C2212yescomplemented
292#2427C2212yescomplemented
293#2427C2212yescomplemented
294#2426C2212yescomplemented
295#2425C2212yescomplemented
296#2425C2212yescomplemented
297#2425C2212yescomplemented
298#2425C2212yescomplemented
299#2425C2212yescomplemented
300#2425C2212yescomplemented
301#2424C2212yescomplemented
302#2424C2212yescomplemented
303#2424C2212yescomplemented
304#2424C2212yescomplemented
305#2424C2212yescomplemented
306#2424C2212yescomplemented
307#2419C2212yescomplemented
308#2419C2212yescomplemented
309#2419C2212yescomplemented
310#2419C2212yescomplemented
311#2418C2212yescomplemented
312#2418C2212yescomplemented
313#2418C2212yescomplemented
314#2418C2212yescomplemented
315#2418C2212yescomplemented
316#2417C2212yescomplemented
317#2416C2212yescomplemented
318#2413C2212yescomplemented
319#2412C2211yescharacteristic, complemented
320#2412C2211yescharacteristic, complemented
321#2411C2212yescomplemented
322#2410C2212yes—
323#2410C2212yes—
324#2410C2212yes—
325#2410C2212yescomplemented
326#2410C2212yescomplemented
327#2410C2212yescomplemented
328#2410C2212yescomplemented
329#2410C2212yescomplemented
330#2410C2212yescomplemented
331#2409C2212yescomplemented
332#2409C2212yescomplemented
333#2408C2211yescharacteristic
334#2408C2212yescomplemented
335#2408C2212yescomplemented
336#2407C2212yes—
337#2407C2212yescomplemented
338#2407C2212yescomplemented
339#2407C2212yescomplemented
340#2406C2212yes—
341#2406C2212yescomplemented
342#2405C2212yes—
343#2405C2212yescomplemented
344#2405C2212yescomplemented
345#2405C2212yescomplemented
346#2404C2211yescharacteristic
347#2404C2211yescharacteristic
348#2404C2212yescomplemented
349#2403C2212yes—
350#2403C2212yes—
351C2×#397C2211yescharacteristic, complemented
352#2388C2211yescharacteristic
353#2388C2212yescomplemented
354C2×#394C2212yescomplemented
355C2×#394C2212yescomplemented
356C2×#393C2212yescomplemented
357C2×#392C2211yescharacteristic
358C2×#392C2211yescharacteristic
359#2367C2212yescomplemented
360#2364C2212yescomplemented
361#2361C2212yescomplemented
362#2361C2212yescomplemented
363#2360C2212yescomplemented
364#2359C2212yescomplemented
365#2359C2212yescomplemented
366#2358C2212yescomplemented
367#2342C2212yescomplemented
368#2339C2211yescharacteristic
369#2339C2212yescomplemented
370#2339C2212yescomplemented
371#2339C2212yescomplemented
372D4×C22⋊C4C2212yes—
373D4×C22⋊C4C2212yes—
374D4×C22⋊C4C2212yescomplemented
375D4×C22⋊C4C2212yescomplemented
376D4×C22⋊C4C2211yescharacteristic, complemented
377#2337C2212yescomplemented
378#2337C2212yescomplemented
379#2334C2212yescomplemented
380#2329C2212yescomplemented
381#2325C2212yescomplemented
382#2322C2211yescharacteristic, complemented
383#2321C2212yescomplemented
384#2321C2212yescomplemented
385#2318C2212yescomplemented
386#2318C2211yescharacteristic, complemented
387#2315C2211yescharacteristic, complemented
388C4×#121C2212yescomplemented
389C4×#121C2212yescomplemented
390C4×#121C2212yescomplemented
391C2×#391C2212yescomplemented
392C2×#388C2212yescomplemented
393C2×#386C2212yescomplemented
394C2×#385C2211yescharacteristic, complemented
395C2×H(5,𝔽2)—48no—
396C2×H(5,𝔽2)—44no—
397C22×#41C2311yescharacteristic
398C22×#41C2311yescharacteristic
399C22×#41C2312yes—
400C22×#41C2311yescharacteristic
401C22×#41C2312yes—
402C22×#41C2311yescharacteristic
403C22×#41C2312yes—
404C23×Q8C2312yes—
405C23×D4C2312yes—
406C23×D4C2312yes—
407C23×D4C2311yescharacteristic
408C23×D4C2311yescharacteristic
409C23×D4C2311yescharacteristic
410C23×D4C2312yes—
411C23×D4C2311yescharacteristic
412C23×D4C2312yes—
413C23×D4C2312yes—
414C24×C4C2311yescharacteristic
415#553—44no—
416#548—48no—
417#547—48no—
418#546—48no—
419#546—44no—
420#546—48no—
421#546—48no—
422D42—48no—
423#538—48no—
424C2×C4⋊Q8C2312yes—
425C2×#127C2312yes—
426C2×#126C2312yes—
427C2×#126C2312yes—
428C2×#126C2312yes—
429C2×#126C2312yes—
430C2×#125C2311yescharacteristic
431C2×#124—48no—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2311yescharacteristic
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2312yes—
440C2×#124C2312yes—
441C2×#124C2312yes—
442C2×#124C2312yes—
443C2×#124C2312yes—
444C2×#124C2312yes—
445C2×#124C2312yes—
446C2×#124C2312yes—
447C2×#124C2312yes—
448#525—48no—
449C2×#123—44no—
450C2×#123C2311yescharacteristic
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2311yescharacteristic
456C2×#123C2311yescharacteristic
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×#123C2312yes—
460C2×#123C2312yes—
461C2×#123C2312yes—
462C2×#123C2312yes—
463C2×#123C2312yes—
464C2×#123C2312yes—
465C2×#123C2312yes—
466C2×#123C2312yes—
467C2×#123C2312yes—
468C2×#123C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×C22⋊Q8C2311yescharacteristic
475C2×C22⋊Q8C2312yes—
476C2×C22⋊Q8C2312yes—
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2312yes—
479C2×C22⋊Q8C2312yes—
480C2×C22⋊Q8C2312yes—
481C2×C22⋊Q8C2312yes—
482C2×C22⋊Q8C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×#121C2312yes—
489C2×#121C2312yes—
490C2×#121C2311yescharacteristic
491C2×#121C2312yes—
492C2×#121C2312yes—
493C2×#121C2312yes—
494C2×#121C2311yescharacteristic
495C2×#121C2311yescharacteristic
496C2×#121C2312yes—
497C2×#121C2311yescharacteristic
498C2×#121C2312yes—
499C2×#121C2312yes—
500C2×#121C2311yescharacteristic
501C2×#121C2312yes—
502C2×#121C2312yes—
503C2×#121C2312yes—
504C2×#121C2312yes—
505C2×#121C2312yes—
506C2×#121C2312yes—
507C2×#121C2312yes—
508C2×#121C2312yes—
509C2×#121C2312yes—
510C2×#121C2312yes—
511C2×#120C2312yes—
512C2×#120C2312yes—
513C2×#120C2312yes—
514C2×#120C2311yescharacteristic
515C2×#120C2312yes—
516C2×#120C2312yes—
517C2×#120C2312yes—
518C2×#120C2312yes—
519C2×#120C2312yes—
520C2×#120C2312yes—
521C2×#120C2312yes—
522C2×#120C2311yescharacteristic
523C2×#120C2312yes—
524C2×#120C2312yes—
525C2×#120C2312yes—
526C2×#120C2312yes—
527C2×#120C2312yes—
528C2×C4×Q8C2312yes—
529C2×C4×D4C2311yescharacteristic
530C2×C4×D4C2312yes—
531C2×C4×D4C2312yes—
532C2×C4×D4C2312yes—
533C2×C4×D4C2311yescharacteristic
534C2×C4×D4C2312yes—
535C2×C4×D4C2312yes—
536C2×C4×D4C2312yes—
537C2×C4×D4C2312yes—
538C2×C4×D4C2312yes—
539C2×C4×D4C2312yes—
540C2×C4×D4C2312yes—
541C2×C4×D4C2312yes—
542C2×C4×D4C2312yes—
543C2×C4×D4C2312yes—
544C2×C4×D4C2312yes—
545C2×C4×D4C2312yes—
546C2×C4×D4C2312yes—
547C2×C4×D4C2312yes—
548C2×C4×D4C2312yes—
549C2×C4×D4C2311yescharacteristic
550C2×C4×D4C2312yes—
551C2×#117C2311yescharacteristic
552C2×#117C2312yes—
553C22×C4⋊C4C2311yescharacteristic
554C22×C4⋊C4C2311yescharacteristic
555C22×C4⋊C4C2311yescharacteristic
556C22×C4⋊C4C2312yes—
557C22×C4⋊C4C2312yes—
558C22×C22⋊C4C2311yescharacteristic
559C22×C22⋊C4C2311yescharacteristic
560C22×C22⋊C4C2312yes—
561C22×C22⋊C4C2312yes—
562C22×C22⋊C4C2311yescharacteristic
563C22×C22⋊C4C2311yescharacteristic
564C22×C22⋊C4C2312yes—
565C22×C22⋊C4C2312yes—
566C22×C22⋊C4C2312yes—
567C22×C22⋊C4C2312yes—
568C22×C22⋊C4C2311yescharacteristic
569C22×C22⋊C4C2312yes—
570C22×C22⋊C4C2312yes—
571C22×C22⋊C4C2311yescharacteristic
572C22×C22⋊C4C2312yes—
573C22×C22⋊C4C2311yescharacteristic
574C22×C22⋊C4C2312yes—
575C22×C22⋊C4C2312yes—
576C22×C42C2312yes—
577#401C2312yes—
578#400C2312yes—
579#400C2312yes—
580#400C2312yes—
581#400C2312yes—
582#400C2312yes—
583#400C2312yes—
584#400C2312yes—
585#399C2312yes—
586#399C2312yes—
587#399C2311yescharacteristic
588#399C2311yescharacteristic
589#399C2311yescharacteristic
590#399C2312yes—
591#399C2312yes—
592#399C2312yes—
593#399C2312yes—
594#399C2312yes—
595#399C2312yes—
596#399C2311yescharacteristic
597#399C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2311yescharacteristic
618#397C2311yescharacteristic
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2311yescharacteristic
634#397C2312yes—
635#397C2312yes—
636#397C2311yescharacteristic
637#397C2311yescharacteristic
638#397C2312yes—
639#397C2311yescharacteristic
640#397C2311yescharacteristic
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2311yescharacteristic
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2311yescharacteristic
678#395C2312yes—
679#395C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#394C2311yescharacteristic
715#394C2311yescharacteristic
716#394C2312yes—
717#394C2312yes—
718#394C2312yes—
719#394C2311yescharacteristic
720#394C2312yes—
721#394C2312yes—
722#394C2312yes—
723#394C2312yes—
724#394C2312yes—
725#394C2312yes—
726#394C2312yes—
727#394C2312yes—
728#394C2312yes—
729#394C2312yes—
730#394C2312yes—
731#394C2312yes—
732#394C2312yes—
733#394C2312yes—
734#394C2312yes—
735#394C2312yes—
736#394C2312yes—
737#394C2312yes—
738#394C2312yes—
739#394C2312yes—
740#394C2312yes—
741#394C2312yes—
742#394C2312yes—
743#394C2312yes—
744#394C2312yes—
745#393C2312yes—
746#393C2312yes—
747#393C2312yes—
748#393C2312yes—
749#393C2312yes—
750#393C2312yes—
751#393C2312yes—
752#393C2312yes—
753#393C2312yes—
754#393C2312yes—
755#393C2312yes—
756#393C2312yes—
757#393C2311yescharacteristic
758#393C2311yescharacteristic
759#393C2312yes—
760#393C2312yes—
761#393C2312yes—
762#393C2312yes—
763#393C2312yes—
764#393C2312yes—
765#393C2311yescharacteristic
766#393C2312yes—
767#392C2312yes—
768#392C2312yes—
769#392C2312yes—
770#392C2312yes—
771#392C2312yes—
772#392C2312yes—
773#392C2312yes—
774#392C2311yescharacteristic
775#392C2311yescharacteristic
776#392C2311yescharacteristic
777#392C2312yes—
778#392C2312yes—
779#392C2312yes—
780#392C2312yes—
781#392C2312yes—
782#392C2312yes—
783#392C2312yes—
784#392C2311yescharacteristic
785#392C2312yes—
786#392C2312yes—
787#392C2311yescharacteristic
788#392C2312yes—
789#392C2311yescharacteristic
790#392C2312yes—
791#392C2312yes—
792#392C2312yes—
793#392C2311yescharacteristic
794#392C2312yes—
795#392C2312yes—
796#392C2312yes—
797#392C2312yes—
798#392C2311yescharacteristic
799#392C2312yes—
800#392C2312yes—
801#392C2312yes—
802#392C2311yescharacteristic
803#392C2312yes—
804#392C2311yescharacteristic
805#392C2312yes—
806#392C2311yescharacteristic
807#392C2311yescharacteristic
808#392C2312yes—
809#392C2312yes—
810#392C2311yescharacteristic
811#392C2312yes—
812#392C2312yes—
813#391C2312yes—
814#391C2312yes—
815#391C2312yes—
816#391C2312yes—
817#391C2312yes—
818#391C2312yes—
819#391C2312yes—
820#391C2312yes—
821#391C2312yes—
822#391C2312yes—
823#391C2312yes—
824#391C2312yes—
825#391C2312yes—
826#391C2312yes—
827#391C2312yes—
828#391C2312yes—
829#391C2312yes—
830#391C2312yes—
831#391C2312yes—
832#390C2312yes—
833#390C2312yes—
834#390C2312yes—
835#390C2312yes—
836#390C2312yes—
837#390C2312yes—
838#390C2312yes—
839#390C2312yes—
840#390C2312yes—
841#390C2312yes—
842#390C2312yes—
843#390C2312yes—
844#390C2312yes—
845#390C2312yes—
846#390C2312yes—
847#390C2312yes—
848#390C2312yes—
849#390C2312yes—
850#390C2312yes—
851#390C2312yes—
852#390C2312yes—
853#390C2312yes—
854#390C2312yes—
855#390C2312yes—
856#390C2312yes—
857#390C2312yes—
858#389C2312yes—
859#389C2312yes—
860#389C2312yes—
861#389C2312yes—
862#389C2312yes—
863#389C2312yes—
864#389C2312yes—
865#389C2312yes—
866#389C2312yes—
867#389C2312yes—
868#389C2312yes—
869#389C2312yes—
870#389C2312yes—
871#389C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#388C2312yes—
926#388C2312yes—
927#388C2312yes—
928#388C2312yes—
929#388C2312yes—
930#388C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2311yescharacteristic
972#386C2312yes—
973#386C2311yescharacteristic
974#386C2312yes—
975#386C2311yescharacteristic
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#386C2312yes—
1015#386C2312yes—
1016#386C2312yes—
1017#386C2312yes—
1018#386C2312yes—
1019#386C2312yes—
1020#386C2312yes—
1021#386C2312yes—
1022#386C2312yes—
1023#385C2311yescharacteristic
1024#385C2311yescharacteristic
1025#385C2311yescharacteristic
1026#385C2311yescharacteristic
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2311yescharacteristic
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2311yescharacteristic
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2311yescharacteristic
1048#385C2311yescharacteristic
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#385C2312yes—
1054#385C2312yes—
1055#385C2312yes—
1056#385C2312yes—
1057#385C2312yes—
1058#385C2312yes—
1059#385C2312yes—
1060#385C2312yes—
1061#385C2312yes—
1062#385C2311yescharacteristic
1063#385C2312yes—
1064#385C2312yes—
1065#385C2312yes—
1066#385C2312yes—
1067#385C2312yes—
1068#383C2312yes—
1069#383C2311yescharacteristic
1070#383C2312yes—
1071#383C2312yes—
1072#382C2312yes—
1073#382C2311yescharacteristic
1074#382C2312yes—
1075#381C2312yes—
1076#381C2311yescharacteristic
1077#381C2312yes—
1078#381C2312yes—
1079#381C2312yes—
1080#381C2311yescharacteristic
1081#381C2312yes—
1082#381C2311yescharacteristic
1083#381C2311yescharacteristic
1084#381C2312yes—
1085#381C2312yes—
1086#381C2312yes—
1087#381C2311yescharacteristic
1088#381C2311yescharacteristic
1089#380C2312yes—
1090#380C2312yes—
1091#380C2312yes—
1092#380C2311yescharacteristic
1093#380C2312yes—
1094#380C2312yes—
1095#380C2311yescharacteristic
1096#380C2312yes—
1097#380C2312yes—
1098#380C2312yes—
1099#380C2312yes—
1100#380C2311yescharacteristic
1101#380C2312yes—
1102#380C2312yes—
1103#380C2312yes—
1104#380C2312yes—
1105#380C2312yes—
1106#380C2312yes—
1107#380C2312yes—
1108#379C2312yes—
1109#379C2312yes—
1110#379C2312yes—
1111#379C2312yes—
1112#379C2312yes—
1113#379C2311yescharacteristic
1114#379C2312yes—
1115#379C2312yes—
1116#379C2312yes—
1117#379C2312yes—
1118#379C2311yescharacteristic
1119#379C2312yes—
1120#379C2312yes—
1121#379C2312yes—
1122#379C2312yes—
1123#379C2312yes—
1124C4×C4⋊C4C2312yes—
1125C4×C4⋊C4C2312yes—
1126C4×C4⋊C4C2312yes—
1127C4×C4⋊C4C2312yes—
1128C4×C4⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2311yescharacteristic
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2311yescharacteristic
1139C4×C22⋊C4C2312yes—
1140C4×C22⋊C4C2312yes—
1141C4×C22⋊C4C2312yes—
1142C4×C22⋊C4C2311yescharacteristic
1143C4×C22⋊C4C2312yes—
1144C4×C22⋊C4C2312yes—
1145C4×C22⋊C4C2312yes—
1146C4×C22⋊C4C2312yes—
1147C2×#95C2311yescharacteristic
1148C2×#95C2312yes—
1149C2×#95C2311yescharacteristic
1150C2×#95C2311yescharacteristic
1151C2×#95C2312yes—
1152C2×#95C2312yes—
1153C2×#95C2312yes—
1154C2×#95C2312yes—
1155C2×#95C2312yes—
1156C25C2411yescharacteristic
1157C25C2412yes—
1158C25C2411yescharacteristic
1159C25C2412yes—
1160C25C2412yes—
1161H(5,𝔽2)—464no—
1162C2×#41—24no—
1163C2×#41—28no—
1164C2×#41—28no—
1165C2×#41—44no—
1166C2×#41—42no—
1167C2×#41—42no—
1168C2×#41—42no—
1169C2×#41—44no—
1170C2×#41—44no—
1171C2×#41—44no—
1172C2×#41—44no—
1173C2×#41—44no—
1174C2×#41—44no—
1175C2×#41—44no—
1176C2×#41—44no—
1177C2×#41—44no—
1178C2×#41—44no—
1179C22×Q8—44no—
1180C22×Q8—44no—
1181C22×Q8—44no—
1182C22×Q8C2412yes—
1183C22×Q8C2411yescharacteristic
1184C22×Q8C2412yes—
1185C22×Q8C2412yes—
1186C22×Q8C2412yes—
1187C22×Q8C2411yescharacteristic
1188C22×Q8C2412yes—
1189C22×D4—28no—
1190C22×D4—28no—
1191C22×D4—28no—
1192C22×D4—24no—
1193C22×D4—44no—
1194C22×D4—42no—
1195C22×D4—44no—
1196C22×D4—44no—
1197C22×D4—42no—
1198C22×D4—42no—
1199C22×D4—44no—
1200C22×D4—44no—
1201C22×D4—44no—
1202C22×D4—44no—
1203C22×D4—44no—
1204C22×D4—44no—
1205C22×D4—44no—
1206C22×D4—44no—
1207C22×D4—44no—
1208C22×D4—44no—
1209C22×D4—44no—
1210C22×D4—44no—
1211C22×D4—44no—
1212C22×D4C2412yes—
1213C22×D4C2411yescharacteristic
1214C22×D4C2411yescharacteristic
1215C22×D4C2412yes—
1216C22×D4C2412yes—
1217C22×D4C2412yes—
1218C22×D4C2412yes—
1219C22×D4C2412yes—
1220C22×D4C2411yescharacteristic
1221C22×D4C2412yes—
1222C22×D4C2412yes—
1223C22×D4C2411yescharacteristic
1224C22×D4C2411yescharacteristic
1225C22×D4C2412yes—
1226C22×D4C2412yes—
1227C22×D4C2412yes—
1228C22×D4C2412yes—
1229C22×D4C2411yescharacteristic
1230C22×D4C2412yes—
1231C22×D4C2412yes—
1232C22×D4C2411yescharacteristic
1233C22×D4C2411yescharacteristic
1234C22×D4C2412yes—
1235C22×D4C2412yes—
1236C22×D4C2412yes—
1237C22×D4C2412yes—
1238C22×D4C2412yes—
1239C22×D4C2411yescharacteristic
1240C22×D4C2411yescharacteristic
1241C22×D4C2411yescharacteristic
1242C22×D4C2412yes—
1243C22×D4C2412yes—
1244C22×D4C2412yes—
1245C22×D4C2412yes—
1246C22×D4C2412yes—
1247C22×D4C2412yes—
1248C22×D4C2412yes—
1249C22×D4C2411yescharacteristic
1250C22×D4C2412yes—
1251C22×D4C2411yescharacteristic
1252C23×C4—42no—
1253C23×C4—44no—
1254C23×C4C2412yes—
1255C23×C4C2411yescharacteristic
1256C23×C4C2412yes—
1257C23×C4C2412yes—
1258C23×C4C2412yes—
1259C23×C4C2412yes—
1260C23×C4C2412yes—
1261C23×C4C2411yescharacteristic
1262C23×C4C2411yescharacteristic
1263C23×C4C2412yes—
1264C23×C4C2412yes—
1265C23×C4C2411yescharacteristic
1266C23×C4C2412yes—
1267C23×C4C2412yes—
1268C23×C4C2412yes—
1269C23×C4C2412yes—
1270C23×C4C2411yescharacteristic
1271C23×C4C2411yescharacteristic
1272C23×C4C2412yes—
1273C23×C4C2412yes—
1274C23×C4C2411yescharacteristic
1275C23×C4C2412yes—
1276C23×C4C2411yescharacteristic
1277C23×C4C2412yes—
1278C23×C4C2411yescharacteristic
1279C23×C4C2411yescharacteristic
1280C23×C4C2412yes—
1281C23×C4C2412yes—
1282C4⋊Q8—44no—
1283#127—44no—
1284#126—44no—
1285#126—44no—
1286#126—44no—
1287#126—44no—
1288#125—42no—
1289#124—28no—
1290#124—28no—
1291#124—44no—
1292#124—44no—
1293#124—44no—
1294#124—42no—
1295#124—44no—
1296#124—44no—
1297#124—44no—
1298#124—44no—
1299#124—44no—
1300#124—44no—
1301#124—44no—
1302#124—44no—
1303#124—44no—
1304#124—44no—
1305#123—28no—
1306#123—28no—
1307#123—24no—
1308#123—44no—
1309#123—44no—
1310#123—44no—
1311#123—44no—
1312#123—44no—
1313#123—44no—
1314#123—44no—
1315#123—44no—
1316#123—44no—
1317#123—44no—
1318#123—42no—
1319#123—42no—
1320#123—44no—
1321#123—44no—
1322#123—44no—
1323#123—44no—
1324C22⋊Q8—44no—
1325C22⋊Q8—44no—
1326C22⋊Q8—44no—
1327C22⋊Q8—44no—
1328C22⋊Q8—44no—
1329C22⋊Q8—44no—
1330C22⋊Q8—44no—
1331C22⋊Q8—44no—
1332C22⋊Q8—44no—
1333C22⋊Q8—44no—
1334C22⋊Q8—44no—
1335C22⋊Q8—44no—
1336C22⋊Q8—44no—
1337C22⋊Q8—42no—
1338#121—28no—
1339#121—28no—
1340#121—28no—
1341#121—28no—
1342#121—44no—
1343#121—44no—
1344#121—44no—
1345#121—44no—
1346#121—44no—
1347#121—44no—
1348#121—44no—
1349#121—44no—
1350#121—44no—
1351#121—44no—
1352#121—44no—
1353#121—44no—
1354#121—44no—
1355#121—44no—
1356#121—44no—
1357#121—42no—
1358#121—44no—
1359#121—42no—
1360#121—42no—
1361#121—44no—
1362#121—44no—
1363#121—44no—
1364#121—42no—
1365#121—42no—
1366#120—28no—
1367#120—44no—
1368#120—44no—
1369#120—44no—
1370#120—44no—
1371#120—44no—
1372#120—44no—
1373#120—44no—
1374#120—44no—
1375#120—44no—
1376#120—44no—
1377#120—44no—
1378#120—44no—
1379#120—42no—
1380#120—42no—
1381#120—44no—
1382#120—44no—
1383C4×Q8—44no—
1384C4×D4—28no—
1385C4×D4—24no—
1386C4×D4—44no—
1387C4×D4—42no—
1388C4×D4—44no—
1389C4×D4—44no—
1390C4×D4—42no—
1391C4×D4—44no—
1392C4×D4—44no—
1393C4×D4—44no—
1394C4×D4—44no—
1395C4×D4—44no—
1396C4×D4—44no—
1397C4×D4—44no—
1398C4×D4—44no—
1399C4×D4—44no—
1400C4×D4—44no—
1401C4×D4—44no—
1402C4×D4—44no—
1403C4×D4—44no—
1404C4×D4—44no—
1405C4×D4—44no—
1406#117—44no—
1407#117—42no—
1408C2×C4⋊C4—42no—
1409C2×C4⋊C4—42no—
1410C2×C4⋊C4—44no—
1411C2×C4⋊C4—44no—
1412C2×C4⋊C4—42no—
1413C2×C4⋊C4C2412yes—
1414C2×C4⋊C4C2412yes—
1415C2×C4⋊C4C2412yes—
1416C2×C4⋊C4C2412yes—
1417C2×C4⋊C4C2412yes—
1418C2×C4⋊C4C2412yes—
1419C2×C4⋊C4C2411yescharacteristic
1420C2×C4⋊C4C2412yes—
1421C2×C4⋊C4C2412yes—
1422C2×C4⋊C4C2412yes—
1423C2×C4⋊C4C2412yes—
1424C2×C4⋊C4C2412yes—
1425C2×C4⋊C4C2412yes—
1426C2×C4⋊C4C2412yes—
1427C2×C4⋊C4C2411yescharacteristic
1428C2×C4⋊C4C2411yescharacteristic
1429C2×C4⋊C4C2412yes—
1430C2×C4⋊C4C2412yes—
1431C2×C4⋊C4C2412yes—
1432C2×C4⋊C4C2412yes—
1433C2×C4⋊C4C2412yes—
1434C2×C4⋊C4C2412yes—
1435C2×C4⋊C4C2412yes—
1436C2×C4⋊C4C2412yes—
1437C2×C4⋊C4C2412yes—
1438C2×C4⋊C4C2411yescharacteristic
1439C2×C4⋊C4C2412yes—
1440C2×C4⋊C4C2412yes—
1441C2×C4⋊C4C2412yes—
1442C2×C4⋊C4C2412yes—
1443C2×C4⋊C4C2412yes—
1444C2×C4⋊C4C2412yes—
1445C2×C4⋊C4C2412yes—
1446C2×C4⋊C4C2412yes—
1447C2×C4⋊C4C2411yescharacteristic
1448C2×C4⋊C4C2412yes—
1449C2×C4⋊C4C2412yes—
1450C2×C4⋊C4C2412yes—
1451C2×C4⋊C4C2412yes—
1452C2×C4⋊C4C2412yes—
1453C2×C4⋊C4C2412yes—
1454C2×C4⋊C4C2412yes—
1455C2×C4⋊C4C2411yescharacteristic
1456C2×C4⋊C4C2412yes—
1457C2×C4⋊C4C2411yescharacteristic
1458C2×C4⋊C4C2412yes—
1459C2×C4⋊C4C2412yes—
1460C2×C4⋊C4C2412yes—
1461C2×C4⋊C4C2412yes—
1462C2×C4⋊C4C2412yes—
1463C2×C4⋊C4C2412yes—
1464C2×C4⋊C4C2412yes—
1465C2×C4⋊C4C2412yes—
1466C2×C4⋊C4C2412yes—
1467C2×C4⋊C4C2412yes—
1468C2×C4⋊C4C2412yes—
1469C2×C22⋊C4—24no—
1470C2×C22⋊C4—24no—
1471C2×C22⋊C4—44no—
1472C2×C22⋊C4—44no—
1473C2×C22⋊C4—44no—
1474C2×C22⋊C4—44no—
1475C2×C22⋊C4—44no—
1476C2×C22⋊C4—44no—
1477C2×C22⋊C4—42no—
1478C2×C22⋊C4—42no—
1479C2×C22⋊C4—42no—
1480C2×C22⋊C4—44no—
1481C2×C22⋊C4—44no—
1482C2×C22⋊C4—44no—
1483C2×C22⋊C4—44no—
1484C2×C22⋊C4—42no—
1485C2×C22⋊C4—42no—
1486C2×C22⋊C4—44no—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2412yes—
1500C2×C22⋊C4C2412yes—
1501C2×C22⋊C4C2412yes—
1502C2×C22⋊C4C2411yescharacteristic
1503C2×C22⋊C4C2411yescharacteristic
1504C2×C22⋊C4C2412yes—
1505C2×C22⋊C4C2412yes—
1506C2×C22⋊C4C2412yes—
1507C2×C22⋊C4C2412yes—
1508C2×C22⋊C4C2411yescharacteristic
1509C2×C22⋊C4C2412yes—
1510C2×C22⋊C4C2412yes—
1511C2×C22⋊C4C2412yes—
1512C2×C22⋊C4C2412yes—
1513C2×C22⋊C4C2411yescharacteristic
1514C2×C22⋊C4C2412yes—
1515C2×C22⋊C4C2412yes—
1516C2×C22⋊C4C2412yes—
1517C2×C22⋊C4C2412yes—
1518C2×C22⋊C4C2412yes—
1519C2×C22⋊C4C2412yes—
1520C2×C22⋊C4C2412yes—
1521C2×C22⋊C4C2412yes—
1522C2×C22⋊C4C2412yes—
1523C2×C22⋊C4C2411yescharacteristic
1524C2×C22⋊C4C2412yes—
1525C2×C22⋊C4C2412yes—
1526C2×C22⋊C4C2412yes—
1527C2×C22⋊C4C2411yescharacteristic
1528C2×C22⋊C4C2411yescharacteristic
1529C2×C22⋊C4C2412yes—
1530C2×C22⋊C4C2412yes—
1531C2×C22⋊C4C2412yes—
1532C2×C22⋊C4C2412yes—
1533C2×C22⋊C4C2412yes—
1534C2×C22⋊C4C2412yes—
1535C2×C22⋊C4C2412yes—
1536C2×C22⋊C4C2412yes—
1537C2×C22⋊C4C2411yescharacteristic
1538C2×C22⋊C4C2411yescharacteristic
1539C2×C22⋊C4C2412yes—
1540C2×C22⋊C4C2412yes—
1541C2×C22⋊C4C2412yes—
1542C2×C22⋊C4C2411yescharacteristic
1543C2×C22⋊C4C2411yescharacteristic
1544C2×C22⋊C4C2412yes—
1545C2×C22⋊C4C2412yes—
1546C2×C22⋊C4C2412yes—
1547C2×C22⋊C4C2412yes—
1548C2×C22⋊C4C2412yes—
1549C2×C22⋊C4C2412yes—
1550C2×C22⋊C4C2412yes—
1551C2×C22⋊C4C2412yes—
1552C2×C22⋊C4C2412yes—
1553C2×C22⋊C4C2412yes—
1554C2×C22⋊C4C2412yes—
1555C2×C22⋊C4C2412yes—
1556C2×C22⋊C4C2412yes—
1557C2×C22⋊C4C2412yes—
1558C2×C22⋊C4C2412yes—
1559C2×C22⋊C4C2412yes—
1560C2×C22⋊C4C2412yes—
1561C2×C22⋊C4C2412yes—
1562C2×C22⋊C4C2412yes—
1563C2×C22⋊C4C2412yes—
1564C2×C22⋊C4C2412yes—
1565C2×C22⋊C4C2412yes—
1566C2×C22⋊C4C2412yes—
1567C2×C22⋊C4C2412yes—
1568C2×C22⋊C4C2411yescharacteristic
1569C2×C22⋊C4C2412yes—
1570C2×C22⋊C4C2412yes—
1571C2×C22⋊C4C2412yes—
1572C2×C22⋊C4C2412yes—
1573C2×C22⋊C4C2412yes—
1574C2×C22⋊C4C2412yes—
1575C2×C22⋊C4C2412yes—
1576C2×C22⋊C4C2412yes—
1577C2×C22⋊C4C2412yes—
1578C2×C22⋊C4C2412yes—
1579C2×C22⋊C4C2412yes—
1580C2×C22⋊C4C2412yes—
1581C2×C22⋊C4C2412yes—
1582C2×C22⋊C4C2411yescharacteristic
1583C2×C22⋊C4C2411yescharacteristic
1584C2×C22⋊C4C2412yes—
1585C2×C22⋊C4C2412yes—
1586C2×C22⋊C4C2412yes—
1587C2×C22⋊C4C2412yes—
1588C2×C22⋊C4C2412yes—
1589C2×C22⋊C4C2412yes—
1590C2×C22⋊C4C2412yes—
1591C2×C22⋊C4C2412yes—
1592C2×C22⋊C4C2412yes—
1593C2×C22⋊C4C2412yes—
1594C2×C22⋊C4C2412yes—
1595C2×C22⋊C4C2412yes—
1596C2×C22⋊C4C2412yes—
1597C2×C22⋊C4C2412yes—
1598C2×C22⋊C4C2412yes—
1599C2×C22⋊C4C2412yes—
1600C2×C22⋊C4C2412yes—
1601C2×C22⋊C4C2412yes—
1602C2×C22⋊C4C2412yes—
1603C2×C22⋊C4C2411yescharacteristic
1604C2×C22⋊C4C2412yes—
1605C2×C22⋊C4C2412yes—
1606C2×C22⋊C4C2412yes—
1607C2×C22⋊C4C2412yes—
1608C2×C22⋊C4C2412yes—
1609C2×C22⋊C4C2411yescharacteristic
1610C2×C42—44no—
1611C2×C42C2411yescharacteristic
1612C2×C42C2412yes—
1613C2×C42C2412yes—
1614C2×C42C2412yes—
1615C2×C42C2412yes—
1616C2×C42C2412yes—
1617C2×C42C2412yes—
1618C2×C42C2412yes—
1619C2×C42C2412yes—
1620C2×C42C2412yes—
1621C2×C42C2412yes—
1622C2×C42C2412yes—
1623C2×C42C2412yes—
1624C2×C42C2412yes—
1625C2×C42C2412yes—
1626C2×C42C2412yes—
1627C2×C42C2412yes—
1628#95C2412yes—
1629#95C2411yescharacteristic
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634#95C2412yes—
1635#95C2411yescharacteristic
1636#95C2412yes—
1637#95C2412yes—
1638#95C2412yes—
1639#95C2411yescharacteristic
1640#95C2412yes—
1641#95C2411yescharacteristic
1642#95C2412yes—
1643#95C2412yes—
1644#95C2412yes—
1645#95C2412yes—
1646#95C2412yes—
1647#95C2411yescharacteristic
1648#95C2412yes—
1649#95C2412yes—
1650#95C2412yes—
1651#95C2412yes—
1652#95C2412yes—
1653#95C2412yes—
1654#95C2412yes—
1655#95C2412yes—
1656#95C2412yes—
1657#95C2412yes—
1658#95C2412yes—
1659#95C2412yes—
1660#95C2412yes—
1661#95C2412yes—
1662#95C2411yescharacteristic
1663#95C2412yes—
1664#95C2412yes—
1665#95C2412yes—
1666#95C2412yes—
1667#95C2412yes—
1668#95C2412yes—
1669#95C2412yes—
1670#95C2412yes—
1671#95C2411yescharacteristic
1672#95C2412yes—
1673#95C2412yes—
1674#95C2412yes—
1675#95C2411yescharacteristic
1676#95C2412yes—
1677#95C2412yes—
1678#95C2412yes—
1679#95C2412yes—
1680#95C2412yes—
1681#95C2412yes—
1682#95C2412yes—
1683#95C2412yes—
1684#95C2412yes—
1685#95C2412yes—
1686#95C2412yes—
1687#95C2412yes—
1688#95C2412yes—
1689#95C2412yes—
1690#95C2412yes—
1691#95C2412yes—
1692#95C2412yes—
1693#95C2412yes—
1694#95C2412yes—
1695#95C2412yes—
1696#95C2412yes—
1697#95C2412yes—
1698#95C2412yes—
1699#95C2412yes—
1700#95C2412yes—
1701#95C2412yes—
1702#95C2412yes—
1703#95C2412yes—
1704#95C2412yes—
1705#95C2412yes—
1706#95C2412yes—
1707C24—22no—
1708C24—22no—
1709C24—24no—
1710C24—22no—
1711C24—22no—
1712C24—24no—
1713C24—24no—
1714C24—24no—
1715C24—24no—
1716C24—24no—
1717C24—24no—
1718C24—42no—
1719C24—41no—
1720C24—42no—
1721C24—42no—
1722C24—42no—
1723C24—41no—
1724C24—42no—
1725C24—42no—
1726C24—42no—
1727C24—42no—
1728C24—42no—
1729C24—42no—
1730C24—42no—
1731C24—42no—
1732C24—42no—
1733C24—42no—
1734C24—42no—
1735C24—42no—
1736C24—42no—
1737C24—42no—
1738C24C2512yes—
1739C24C2511yescharacteristic
1740C24C2512yes—
1741C24C2511yescharacteristic
1742C24C2511yescharacteristic
1743C24C2512yes—
1744C24C2511yescharacteristic
1745C24C2511yescharacteristic
1746C24C2512yes—
1747C24C2511yescharacteristic
1748#41—416no—
1749#41—416no—
1750#41—416no—
1751#41—432no—
1752#41—416no—
1753#41—816no—
1754#41—816no—
1755C2×Q8—24no—
1756C2×Q8—22no—
1757C2×Q8—24no—
1758C2×Q8—24no—
1759C2×Q8—24no—
1760C2×Q8—24no—
1761C2×Q8—24no—
1762C2×Q8—42no—
1763C2×Q8—42no—
1764C2×Q8—41no—
1765C2×Q8—42no—
1766C2×Q8—42no—
1767C2×Q8—42no—
1768C2×Q8—42no—
1769C2×Q8—42no—
1770C2×Q8—42no—
1771C2×Q8—42no—
1772C2×Q8—42no—
1773C2×Q8—42no—
1774C2×Q8—816no—
1775C2×D4—24no—
1776C2×D4—24no—
1777C2×D4—24no—
1778C2×D4—24no—
1779C2×D4—24no—
1780C2×D4—24no—
1781C2×D4—24no—
1782C2×D4—24no—
1783C2×D4—24no—
1784C2×D4—24no—
1785C2×D4—22no—
1786C2×D4—22no—
1787C2×D4—24no—
1788C2×D4—22no—
1789C2×D4—24no—
1790C2×D4—24no—
1791C2×D4—24no—
1792C2×D4—24no—
1793C2×D4—24no—
1794C2×D4—24no—
1795C2×D4—24no—
1796C2×D4—22no—
1797C2×D4—24no—
1798C2×D4—24no—
1799C2×D4—24no—
1800C2×D4—24no—
1801C2×D4—22no—
1802C2×D4—24no—
1803C2×D4—24no—
1804C2×D4—24no—
1805C2×D4—24no—
1806C2×D4—22no—
1807C2×D4—24no—
1808C2×D4—24no—
1809C2×D4—24no—
1810C2×D4—42no—
1811C2×D4—42no—
1812C2×D4—42no—
1813C2×D4—42no—
1814C2×D4—42no—
1815C2×D4—42no—
1816C2×D4—41no—
1817C2×D4—41no—
1818C2×D4—41no—
1819C2×D4—42no—
1820C2×D4—42no—
1821C2×D4—42no—
1822C2×D4—42no—
1823C2×D4—42no—
1824C2×D4—42no—
1825C2×D4—42no—
1826C2×D4—42no—
1827C2×D4—42no—
1828C2×D4—42no—
1829C2×D4—42no—
1830C2×D4—42no—
1831C2×D4—41no—
1832C2×D4—42no—
1833C2×D4—42no—
1834C2×D4—42no—
1835C2×D4—41no—
1836C2×D4—42no—
1837C2×D4—42no—
1838C2×D4—42no—
1839C2×D4—42no—
1840C2×D4—42no—
1841C2×D4—42no—
1842C2×D4—42no—
1843C2×D4—42no—
1844C2×D4—42no—
1845C2×D4—42no—
1846C2×D4—42no—
1847C2×D4—42no—
1848C2×D4—42no—
1849C2×D4—42no—
1850C2×D4—42no—
1851C2×D4—42no—
1852C2×D4—42no—
1853C2×D4—42no—
1854C2×D4—42no—
1855C2×D4—42no—
1856C2×D4—42no—
1857C2×D4—42no—
1858C2×D4—42no—
1859C2×D4—42no—
1860C2×D4—42no—
1861C2×D4—41no—
1862C2×D4—42no—
1863C2×D4—42no—
1864C2×D4—42no—
1865C2×D4—42no—
1866C2×D4—41no—
1867C2×D4—42no—
1868C2×D4—42no—
1869C2×D4—41no—
1870C2×D4—42no—
1871C2×D4—42no—
1872C2×D4—42no—
1873C2×D4—42no—
1874C2×D4—42no—
1875C2×D4—42no—
1876C2×D4—42no—
1877C2×D4—42no—
1878C2×D4—42no—
1879C2×D4—42no—
1880C2×D4—42no—
1881C2×D4—432no—
1882C2×D4—432no—
1883C2×D4—432no—
1884C2×D4—416no—
1885C2×D4—416no—
1886C2×D4—416no—
1887C2×D4—816no—
1888C2×D4—88no—
1889C2×D4—816no—
1890C2×D4H(5,𝔽2)18yes—
1891C2×D4H(5,𝔽2)14yes—
1892C22×C4—24no—
1893C22×C4—24no—
1894C22×C4—22no—
1895C22×C4—22no—
1896C22×C4—24no—
1897C22×C4—24no—
1898C22×C4—24no—
1899C22×C4—24no—
1900C22×C4—24no—
1901C22×C4—22no—
1902C22×C4—24no—
1903C22×C4—22no—
1904C22×C4—24no—
1905C22×C4—24no—
1906C22×C4—24no—
1907C22×C4—22no—
1908C22×C4—24no—
1909C22×C4—24no—
1910C22×C4—24no—
1911C22×C4—22no—
1912C22×C4—24no—
1913C22×C4—24no—
1914C22×C4—24no—
1915C22×C4—24no—
1916C22×C4—24no—
1917C22×C4—22no—
1918C22×C4—24no—
1919C22×C4—24no—
1920C22×C4—24no—
1921C22×C4—42no—
1922C22×C4—42no—
1923C22×C4—42no—
1924C22×C4—42no—
1925C22×C4—42no—
1926C22×C4—42no—
1927C22×C4—42no—
1928C22×C4—42no—
1929C22×C4—42no—
1930C22×C4—41no—
1931C22×C4—41no—
1932C22×C4—42no—
1933C22×C4—41no—
1934C22×C4—41no—
1935C22×C4—42no—
1936C22×C4—42no—
1937C22×C4—42no—
1938C22×C4—42no—
1939C22×C4—42no—
1940C22×C4—42no—
1941C22×C4—42no—
1942C22×C4—42no—
1943C22×C4—42no—
1944C22×C4—42no—
1945C22×C4—42no—
1946C22×C4—42no—
1947C22×C4—42no—
1948C22×C4—42no—
1949C22×C4—42no—
1950C22×C4—42no—
1951C22×C4—42no—
1952C22×C4—42no—
1953C22×C4—42no—
1954C22×C4—42no—
1955C22×C4—42no—
1956C22×C4—42no—
1957C22×C4—41no—
1958C22×C4—42no—
1959C22×C4—42no—
1960C22×C4—42no—
1961C22×C4—42no—
1962C22×C4—42no—
1963C22×C4—42no—
1964C22×C4—42no—
1965C22×C4—42no—
1966C22×C4—42no—
1967C22×C4—88no—
1968C22×C4C2512yes—
1969C22×C4C2512yes—
1970C22×C4C2511yescharacteristic
1971C22×C4C2512yes—
1972C22×C4C2511yescharacteristic
1973C22×C4C2511yescharacteristic
1974C22×C4C2511yescharacteristic
1975C22×C4C2512yes—
1976C22×C4C2512yes—
1977C22×C4C2512yes—
1978C22×C4C2511yescharacteristic
1979C22×C4C2512yes—
1980C22×C4C2511yescharacteristic
1981C22×C4C2512yes—
1982C22×C4C2511yescharacteristic
1983C22×C4C2512yes—
1984C22×C4C2512yes—
1985C22×C4C2512yes—
1986C22×C4C2512yes—
1987C22×C4C2512yes—
1988C22×C4C2512yes—
1989C22×C4C2512yes—
1990C22×C4C2512yes—
1991C22×C4C2512yes—
1992C22×C4C2511yescharacteristic
1993C22×C4C2512yes—
1994C22×C4C2511yescharacteristic
1995C22×C4C2512yes—
1996C22×C4C2512yes—
1997C4⋊C4—24no—
1998C4⋊C4—24no—
1999C4⋊C4—24no—
2000C4⋊C4—24no—
2001C4⋊C4—24no—
2002C4⋊C4—22no—
2003C4⋊C4—24no—
2004C4⋊C4—24no—
2005C4⋊C4—24no—
2006C4⋊C4—24no—
2007C4⋊C4—24no—
2008C4⋊C4—24no—
2009C4⋊C4—24no—
2010C4⋊C4—42no—
2011C4⋊C4—41no—
2012C4⋊C4—41no—
2013C4⋊C4—42no—
2014C4⋊C4—42no—
2015C4⋊C4—42no—
2016C4⋊C4—42no—
2017C4⋊C4—42no—
2018C4⋊C4—42no—
2019C4⋊C4—42no—
2020C4⋊C4—42no—
2021C4⋊C4—42no—
2022C4⋊C4—42no—
2023C4⋊C4—42no—
2024C4⋊C4—41no—
2025C4⋊C4—42no—
2026C4⋊C4—42no—
2027C4⋊C4—42no—
2028C4⋊C4—42no—
2029C4⋊C4—42no—
2030C4⋊C4—42no—
2031C4⋊C4—42no—
2032C4⋊C4—42no—
2033C4⋊C4—42no—
2034C4⋊C4—42no—
2035C4⋊C4—41no—
2036C4⋊C4—42no—
2037C4⋊C4—42no—
2038C4⋊C4—42no—
2039C4⋊C4—42no—
2040C4⋊C4—41no—
2041C4⋊C4—42no—
2042C4⋊C4—41no—
2043C4⋊C4—42no—
2044C4⋊C4—42no—
2045C4⋊C4—42no—
2046C4⋊C4—42no—
2047C4⋊C4—42no—
2048C4⋊C4—42no—
2049C4⋊C4—42no—
2050C4⋊C4—42no—
2051C4⋊C4—42no—
2052C4⋊C4—42no—
2053C22⋊C4—22no—
2054C22⋊C4—22no—
2055C22⋊C4—24no—
2056C22⋊C4—24no—
2057C22⋊C4—24no—
2058C22⋊C4—24no—
2059C22⋊C4—24no—
2060C22⋊C4—24no—
2061C22⋊C4—24no—
2062C22⋊C4—24no—
2063C22⋊C4—24no—
2064C22⋊C4—22no—
2065C22⋊C4—22no—
2066C22⋊C4—24no—
2067C22⋊C4—24no—
2068C22⋊C4—24no—
2069C22⋊C4—24no—
2070C22⋊C4—24no—
2071C22⋊C4—24no—
2072C22⋊C4—24no—
2073C22⋊C4—24no—
2074C22⋊C4—24no—
2075C22⋊C4—24no—
2076C22⋊C4—24no—
2077C22⋊C4—24no—
2078C22⋊C4—24no—
2079C22⋊C4—24no—
2080C22⋊C4—24no—
2081C22⋊C4—24no—
2082C22⋊C4—24no—
2083C22⋊C4—24no—
2084C22⋊C4—24no—
2085C22⋊C4—24no—
2086C22⋊C4—24no—
2087C22⋊C4—24no—
2088C22⋊C4—24no—
2089C22⋊C4—41no—
2090C22⋊C4—42no—
2091C22⋊C4—42no—
2092C22⋊C4—42no—
2093C22⋊C4—42no—
2094C22⋊C4—42no—
2095C22⋊C4—42no—
2096C22⋊C4—41no—
2097C22⋊C4—42no—
2098C22⋊C4—42no—
2099C22⋊C4—41no—
2100C22⋊C4—42no—
2101C22⋊C4—42no—
2102C22⋊C4—42no—
2103C22⋊C4—41no—
2104C22⋊C4—42no—
2105C22⋊C4—42no—
2106C22⋊C4—42no—
2107C22⋊C4—41no—
2108C22⋊C4—42no—
2109C22⋊C4—41no—
2110C22⋊C4—41no—
2111C22⋊C4—42no—
2112C22⋊C4—42no—
2113C22⋊C4—42no—
2114C22⋊C4—42no—
2115C22⋊C4—42no—
2116C22⋊C4—42no—
2117C22⋊C4—42no—
2118C22⋊C4—42no—
2119C22⋊C4—42no—
2120C22⋊C4—42no—
2121C22⋊C4—42no—
2122C22⋊C4—42no—
2123C22⋊C4—42no—
2124C22⋊C4—42no—
2125C22⋊C4—42no—
2126C22⋊C4—42no—
2127C22⋊C4—42no—
2128C22⋊C4—42no—
2129C22⋊C4—41no—
2130C22⋊C4—42no—
2131C22⋊C4—42no—
2132C22⋊C4—42no—
2133C22⋊C4—42no—
2134C22⋊C4—42no—
2135C22⋊C4—42no—
2136C22⋊C4—42no—
2137C22⋊C4—42no—
2138C22⋊C4—42no—
2139C22⋊C4—42no—
2140C22⋊C4—42no—
2141C22⋊C4—41no—
2142C22⋊C4—42no—
2143C22⋊C4—42no—
2144C22⋊C4—42no—
2145C22⋊C4—42no—
2146C22⋊C4—42no—
2147C22⋊C4—42no—
2148C22⋊C4—42no—
2149C22⋊C4—42no—
2150C22⋊C4—42no—
2151C22⋊C4—42no—
2152C22⋊C4—42no—
2153C22⋊C4—42no—
2154C22⋊C4—42no—
2155C22⋊C4—42no—
2156C22⋊C4—41no—
2157C22⋊C4—41no—
2158C22⋊C4—42no—
2159C22⋊C4—42no—
2160C22⋊C4—42no—
2161C22⋊C4—42no—
2162C22⋊C4—42no—
2163C22⋊C4—42no—
2164C22⋊C4—42no—
2165C22⋊C4—42no—
2166C22⋊C4—42no—
2167C22⋊C4—42no—
2168C22⋊C4—42no—
2169C22⋊C4—42no—
2170C22⋊C4—42no—
2171C22⋊C4—42no—
2172C22⋊C4—42no—
2173C22⋊C4—42no—
2174C22⋊C4—42no—
2175C22⋊C4H(5,𝔽2)14yescomplemented
2176C42—24no—
2177C42—24no—
2178C42—22no—
2179C42—24no—
2180C42—42no—
2181C42—42no—
2182C42—42no—
2183C42—42no—
2184C42—42no—
2185C42—42no—
2186C42—42no—
2187C42—42no—
2188C42—42no—
2189C42—42no—
2190C42—42no—
2191C42—42no—
2192C42—42no—
2193C23—21no—
2194C23—22no—
2195C23—21no—
2196C23—21no—
2197C23—22no—
2198C23—21no—
2199C23—22no—
2200C23—22no—
2201C23—22no—
2202C23—22no—
2203C23—22no—
2204C23—22no—
2205C23—22no—
2206C23—22no—
2207C23—21no—
2208C23—22no—
2209C23—21no—
2210C23—22no—
2211C23—21no—
2212C23—21no—
2213C23—22no—
2214C23—22no—
2215C23—22no—
2216C23—22no—
2217C23—22no—
2218C23—22no—
2219C23—21no—
2220C23—21no—
2221C23—22no—
2222C23—22no—
2223C23—22no—
2224C23—22no—
2225C23—22no—
2226C23—22no—
2227C23—21no—
2228C23—21no—
2229C23—22no—
2230C23—22no—
2231C23—22no—
2232C23—22no—
2233C23—22no—
2234C23—22no—
2235C23—22no—
2236C23—22no—
2237C23—22no—
2238C23—22no—
2239C23—22no—
2240C23—22no—
2241C23—21no—
2242C23—21no—
2243C23—22no—
2244C23—21no—
2245C23—22no—
2246C23—48no—
2247C23—44no—
2248C23—48no—
2249C23—44no—
2250C23—48no—
2251C23—44no—
2252C23—48no—
2253C23—82no—
2254C23—84no—
2255C23—84no—
2256C23—84no—
2257C23—84no—
2258C23—82no—
2259C23—84no—
2260C23—84no—
2261C23—84no—
2262C23—84no—
2263C23—84no—
2264C23—84no—
2265C23—82no—
2266C23—84no—
2267C23—84no—
2268C23—84no—
2269C23—84no—
2270C23—162no—
2271C23—162no—
2272C23—162no—
2273C23—162no—
2274C23—162no—
2275C23—162no—
2276C23—162no—
2277C23C2×H(5,𝔽2)12yes—
2278C23C2×H(5,𝔽2)12yes—
2279C23C2×H(5,𝔽2)14yes—
2280C23C2×H(5,𝔽2)14yes—
2281C23C2×H(5,𝔽2)12yes—
2282C23C2611yescharacteristic
2283Q8—48no—
2284Q8—44no—
2285Q8—44no—
2286Q8—84no—
2287Q8—84no—
2288Q8—84no—
2289Q8—84no—
2290D4—28no—
2291D4—216no—
2292D4—48no—
2293D4—48no—
2294D4—48no—
2295D4—48no—
2296D4—48no—
2297D4—48no—
2298D4—44no—
2299D4—48no—
2300D4—48no—
2301D4—44no—
2302D4—44no—
2303D4—44no—
2304D4—48no—
2305D4—44no—
2306D4—44no—
2307D4—48no—
2308D4—84no—
2309D4—82no—
2310D4—84no—
2311D4—84no—
2312D4—82no—
2313D4—84no—
2314D4—84no—
2315D4—82no—
2316D4—84no—
2317D4—82no—
2318D4—84no—
2319D4—84no—
2320D4—84no—
2321D4—84no—
2322D4—84no—
2323D4—84no—
2324D4—162no—
2325D4—162no—
2326D4—161no—
2327D4—161no—
2328D4—162no—
2329D4—162no—
2330C2×C4—22no—
2331C2×C4—22no—
2332C2×C4—22no—
2333C2×C4—22no—
2334C2×C4—22no—
2335C2×C4—22no—
2336C2×C4—22no—
2337C2×C4—22no—
2338C2×C4—22no—
2339C2×C4—22no—
2340C2×C4—22no—
2341C2×C4—21no—
2342C2×C4—21no—
2343C2×C4—22no—
2344C2×C4—22no—
2345C2×C4—22no—
2346C2×C4—22no—
2347C2×C4—22no—
2348C2×C4—21no—
2349C2×C4—22no—
2350C2×C4—22no—
2351C2×C4—22no—
2352C2×C4—22no—
2353C2×C4—22no—
2354C2×C4—22no—
2355C2×C4—22no—
2356C2×C4—22no—
2357C2×C4—22no—
2358C2×C4—22no—
2359C2×C4—22no—
2360C2×C4—22no—
2361C2×C4—22no—
2362C2×C4—22no—
2363C2×C4—22no—
2364C2×C4—21no—
2365C2×C4—22no—
2366C2×C4—22no—
2367C2×C4—22no—
2368C2×C4—22no—
2369C2×C4—22no—
2370C2×C4—22no—
2371C2×C4—22no—
2372C2×C4—22no—
2373C2×C4—21no—
2374C2×C4—22no—
2375C2×C4—22no—
2376C2×C4—21no—
2377C2×C4—21no—
2378C2×C4—21no—
2379C2×C4—21no—
2380C2×C4—22no—
2381C2×C4—22no—
2382C2×C4—22no—
2383C2×C4—22no—
2384C2×C4—22no—
2385C2×C4—22no—
2386C2×C4—22no—
2387C2×C4—22no—
2388C2×C4—22no—
2389C2×C4—22no—
2390C2×C4—22no—
2391C2×C4—22no—
2392C2×C4—22no—
2393C2×C4—22no—
2394C2×C4—22no—
2395C2×C4—22no—
2396C2×C4—22no—
2397C2×C4—22no—
2398C2×C4—22no—
2399C2×C4—22no—
2400C2×C4—22no—
2401C2×C4—21no—
2402C2×C4—22no—
2403C2×C4—22no—
2404C2×C4—22no—
2405C2×C4—48no—
2406C2×C4—48no—
2407C2×C4—48no—
2408C2×C4—48no—
2409C2×C4—44no—
2410C2×C4—48no—
2411C2×C4—44no—
2412C2×C4—48no—
2413C2×C4—44no—
2414C2×C4—84no—
2415C2×C4—84no—
2416C2×C4—82no—
2417C2×C4—84no—
2418C2×C4—84no—
2419C2×C4—84no—
2420C2×C4—82no—
2421C2×C4—82no—
2422C2×C4—84no—
2423C2×C4—82no—
2424C2×C4—84no—
2425C2×C4—84no—
2426C2×C4—84no—
2427C2×C4—82no—
2428C2×C4—82no—
2429C2×C4—84no—
2430C2×C4—82no—
2431C2×C4—162no—
2432C2×C4—162no—
2433C2×C4C2×H(5,𝔽2)14yes—
2434C2×C4C2×H(5,𝔽2)14yes—
2435C2×C4C2×H(5,𝔽2)12yes—
2436C2×C4#58514yes—
2437C22—24no—
2438C22—22no—
2439C22—22no—
2440C22—24no—
2441C22—24no—
2442C22—24no—
2443C22—22no—
2444C22—22no—
2445C22—22no—
2446C22—24no—
2447C22—24no—
2448C22—22no—
2449C22—42no—
2450C22—42no—
2451C22—41no—
2452C22—42no—
2453C22—42no—
2454C22—42no—
2455C22—42no—
2456C22—42no—
2457C22—41no—
2458C22—42no—
2459C22—42no—
2460C22—42no—
2461C22—42no—
2462C22—42no—
2463C22—42no—
2464C22—42no—
2465C22—42no—
2466C22—42no—
2467C22—42no—
2468C22—42no—
2469C22—41no—
2470C22—41no—
2471C22—41no—
2472C22—42no—
2473C22—42no—
2474C22—41no—
2475C22—42no—
2476C22—41no—
2477C22—41no—
2478C22—42no—
2479C22—42no—
2480C22—42no—
2481C22—42no—
2482C22—42no—
2483C22—42no—
2484C22—42no—
2485C22—42no—
2486C22—42no—
2487C22—42no—
2488C22—42no—
2489C22—42no—
2490C22—41no—
2491C22—41no—
2492C22—42no—
2493C22—41no—
2494C22—88no—
2495C22—168no—
2496C22—164no—
2497C22—168no—
2498C22—168no—
2499C22#353214yes—
2500C22C22×H(5,𝔽2)11yescharacteristic
2501C22C22×H(5,𝔽2)12yes—
2502C22C22×H(5,𝔽2)11yescharacteristic
2503C22C2×#58512yes—
2504C222−1+611yescharacteristic
2505C4—24no—
2506C4—24no—
2507C4—22no—
2508C4—24no—
2509C4—42no—
2510C4—42no—
2511C4—42no—
2512C4—42no—
2513C4—42no—
2514C4—42no—
2515C4—42no—
2516C4—41no—
2517C4—42no—
2518C4—41no—
2519C4—41no—
2520C4—42no—
2521C4—42no—
2522C4—42no—
2523C4—41no—
2524C4—42no—
2525C4—42no—
2526C4—42no—
2527C4—41no—
2528C4—41no—
2529C4—41no—
2530C4—42no—
2531C4—42no—
2532C4—41no—
2533C4—42no—
2534C2—24no—
2535C2—42no—
2536C2—44no—
2537C2—42no—
2538C2—82no—
2539C2—81no—
2540C2—81no—
2541C2—82no—
2542C2—82no—
2543C2—81no—
2544C2C2×#353211yescharacteristic
2545C2#6291411yescharacteristic
2546C2#6292112yes—
2547C2#6301212yes—
2548C2#6302111yescharacteristic
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. #59409C2semidirect
2. #59407C2semidirect
3. #59131C2semidirect
4. #58994C2semidirect
5. #58993C2semidirect
6. #56660C2semidirect
7. #55580C2semidirect
8. #55417C2semidirect
9. #55307C2semidirect
10. #55278C2semidirect
11. #55151C2semidirect
12. #53908C2semidirect
13. #53462C2semidirect
14. #52340C2semidirect
15. #52309C2semidirect
16. C2×#2712C2semidirect
17. #47141C2semidirect
18. #47123C2semidirect
19. #47108C2semidirect
20. #46836C2semidirect
21. #44325C2semidirect
22. #44203C2semidirect
23. #43910C2semidirect
24. #43667C2semidirect
25. #43244C2semidirect
26. #43175C2semidirect
27. #41410C2semidirect
28. #41174C2semidirect
29. #41030C2semidirect
30. #40722C2semidirect
31. #40593C2semidirect
32. #40586C2semidirect
33. #38596C2semidirect
34. #38545C2semidirect
35. #38364C2semidirect
36. #38038C2semidirect
37. #37716C2semidirect
38. #35750C2semidirect
39. #35680C2semidirect
41. C2×#553C22semidirect
42. C2×#548C22semidirect
43. C2×#547C22semidirect
46. C2×#546C22semidirect
47. C2×#546C22semidirect
49. C2×#538C22semidirect
50. C22×#124C22semidirect
51. C2×#525C22semidirect
52. C22×#123C22semidirect
53. #2852C22semidirect
54. #2849C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2828C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2820C22semidirect
66. #2819C22semidirect
67. #2816C22semidirect
68. #2815C22semidirect
69. #2815C22semidirect
70. #2815C22semidirect
71. #2813C22semidirect
72. #2806C22semidirect
73. #2803C22semidirect
74. #2803C22semidirect
75. #2803C22semidirect
76. #2801C22semidirect
77. #2800C22semidirect
78. #2797C22semidirect
79. #2788C22semidirect
80. #2786C22semidirect
81. #2781C22semidirect
82. #2768C22semidirect
83. #2764C22semidirect
84. #2764C22semidirect
85. #2759C22semidirect
86. #2756C22semidirect
87. #2756C22semidirect
88. #2754C22semidirect
89. #2752C22semidirect
90. #2751C22semidirect
91. #2751C22semidirect
92. #2751C22semidirect
93. #2749C22semidirect
94. #2742C22semidirect
95. #2740C22semidirect
96. #2737C22semidirect
97. #2737C22semidirect
98. #2736C22semidirect
99. #2735C22semidirect
100. #2733C22semidirect
101. #2732C22semidirect
102. #2730C22semidirect
103. #2730C22semidirect
104. #2730C22semidirect
105. #2730C22semidirect
106. #2728C22semidirect
107. #2724C22semidirect
108. #2723C22semidirect
109. #2723C22semidirect
110. #2723C22semidirect
111. #2717C22semidirect
112. #2715C22semidirect
113. #2715C22semidirect
114. #2714C22semidirect
115. #2714C22semidirect
116. #2714C22semidirect
117. #2712C22semidirect
118. #2712C22semidirect
119. #2712C22semidirect
120. #2712C22semidirect
121. #2712C22semidirect
122. #2712C22semidirect
123. #2712C22semidirect
124. #2712C22semidirect
125. #2712C22semidirect
126. #2712C22semidirect
127. #2710C22semidirect
128. #2710C22semidirect
129. #2710C22semidirect
130. #2708C22semidirect
131. #2707C22semidirect
132. #2706C22semidirect
133. #2705C22semidirect
134. #2705C22semidirect
135. #2703C22semidirect
136. #2702C22semidirect
137. #2702C22semidirect
138. #2701C22semidirect
139. #2700C22semidirect
140. #2700C22semidirect
141. #2699C22semidirect
142. #2699C22semidirect
143. #2697C22semidirect
144. #2693C22semidirect
145. #2692C22semidirect
146. #2692C22semidirect
147. #2688C22semidirect
148. #2687C22semidirect
149. #2687C22semidirect
150. #2686C22semidirect
151. #2685C22semidirect
152. #2684C22semidirect
153. #2681C22semidirect
154. #2681C22semidirect
155. #2678C22semidirect
156. #2678C22semidirect
157. #2677C22semidirect
158. #2676C22semidirect
159. #2676C22semidirect
160. #2676C22semidirect
161. #2675C22semidirect
162. #2675C22semidirect
163. #2673C22semidirect
164. #2672C22semidirect
165. #2672C22semidirect
166. #2672C22semidirect
167. #2671C22semidirect
168. #2670C22semidirect
169. #2670C22semidirect
170. #2670C22semidirect
171. #2670C22semidirect
172. #2670C22semidirect
173. #2668C22semidirect
174. #2668C22semidirect
175. #2665C22semidirect
176. #2662C22semidirect
177. #2656C22semidirect
178. #2653C22semidirect
179. #2651C22semidirect
180. #2635C22semidirect
181. #2633C22semidirect
182. #2632C22semidirect
183. #2631C22semidirect
184. #2631C22semidirect
185. #2631C22semidirect
186. #2630C22semidirect
187. #2630C22semidirect
188. #2627C22semidirect
189. #2626C22semidirect
190. #2624C22semidirect
191. #2622C22semidirect
192. #2617C22semidirect
193. #2616C22semidirect
195. #2615C22semidirect
198. #2613C22semidirect
199. #2613C22semidirect
200. #2602C22semidirect
201. #2600C22semidirect
202. #2600C22semidirect
203. #2589C22semidirect
204. #2586C22semidirect
205. #2583C22semidirect
206. #2580C22semidirect
207. #2579C22semidirect
208. #2579C22semidirect
209. #2578C22semidirect
210. #2576C22semidirect
211. #2574C22semidirect
212. #2574C22semidirect
213. #2561C22semidirect
214. #2561C22semidirect
215. #2560C22semidirect
216. #2560C22semidirect
217. #2559C22semidirect
218. #2557C22semidirect
219. #2557C22semidirect
220. #2557C22semidirect
221. #2557C22semidirect
222. #2556C22semidirect
223. #2555C22semidirect
224. #2555C22semidirect
225. #2555C22semidirect
226. #2554C22semidirect
227. #2554C22semidirect
228. #2549C22semidirect
229. #2549C22semidirect
230. #2544C22semidirect
231. #2543C22semidirect
232. #2540C22semidirect
233. #2539C22semidirect
234. #2539C22semidirect
235. #2535C22semidirect
236. #2534C22semidirect
237. #2534C22semidirect
238. #2523C22semidirect
239. #2523C22semidirect
240. #2518C22semidirect
241. #2510C22semidirect
242. #2504C22semidirect
243. #2498C22semidirect
244. #2493C22semidirect
245. #2492C22semidirect
246. #2486C22semidirect
247. #2483C22semidirect
248. #2483C22semidirect
249. #2482C22semidirect
250. #2482C22semidirect
251. #2480C22semidirect
252. #2480C22semidirect
253. #2480C22semidirect
254. #2474C22semidirect
255. #2472C22semidirect
256. #2472C22semidirect
257. #2472C22semidirect
258. #2472C22semidirect
259. #2468C22semidirect
260. #2464C22semidirect
261. #2464C22semidirect
262. #2463C22semidirect
263. #2459C22semidirect
264. #2459C22semidirect
265. #2456C22semidirect
266. #2456C22semidirect
267. #2456C22semidirect
268. #2455C22semidirect
269. #2452C22semidirect
270. #2451C22semidirect
271. #2450C22semidirect
272. #2449C22semidirect
273. #2449C22semidirect
274. #2447C22semidirect
275. #2445C22semidirect
276. #2443C22semidirect
277. #2437C22semidirect
278. #2436C22semidirect
279. #2435C22semidirect
280. #2435C22semidirect
282. #2432C22semidirect
283. #2432C22semidirect
285. #2431C22semidirect
289. #2430C22semidirect
290. #2430C22semidirect
291. #2430C22semidirect
292. #2427C22semidirect
293. #2427C22semidirect
294. #2426C22semidirect
295. #2425C22semidirect
296. #2425C22semidirect
297. #2425C22semidirect
298. #2425C22semidirect
299. #2425C22semidirect
300. #2425C22semidirect
301. #2424C22semidirect
302. #2424C22semidirect
303. #2424C22semidirect
304. #2424C22semidirect
305. #2424C22semidirect
306. #2424C22semidirect
307. #2419C22semidirect
308. #2419C22semidirect
309. #2419C22semidirect
310. #2419C22semidirect
311. #2418C22semidirect
312. #2418C22semidirect
313. #2418C22semidirect
314. #2418C22semidirect
315. #2418C22semidirect
316. #2417C22semidirect
317. #2416C22semidirect
318. #2413C22semidirect
319. #2412C22semidirect
320. #2412C22semidirect
321. #2411C22semidirect
325. #2410C22semidirect
326. #2410C22semidirect
327. #2410C22semidirect
328. #2410C22semidirect
329. #2410C22semidirect
330. #2410C22semidirect
331. #2409C22semidirect
332. #2409C22semidirect
334. #2408C22semidirect
335. #2408C22semidirect
337. #2407C22semidirect
338. #2407C22semidirect
339. #2407C22semidirect
341. #2406C22semidirect
343. #2405C22semidirect
344. #2405C22semidirect
345. #2405C22semidirect
348. #2404C22semidirect
351. C2×#397C22semidirect
353. #2388C22semidirect
354. C2×#394C22semidirect
355. C2×#394C22semidirect
356. C2×#393C22semidirect
359. #2367C22semidirect
360. #2364C22semidirect
361. #2361C22semidirect
362. #2361C22semidirect
363. #2360C22semidirect
364. #2359C22semidirect
365. #2359C22semidirect
366. #2358C22semidirect
367. #2342C22semidirect
369. #2339C22semidirect
370. #2339C22semidirect
371. #2339C22semidirect
374. D4×C22⋊C4C22semidirect
375. D4×C22⋊C4C22semidirect
376. D4×C22⋊C4C22semidirect
377. #2337C22semidirect
378. #2337C22semidirect
379. #2334C22semidirect
380. #2329C22semidirect
381. #2325C22semidirect
382. #2322C22semidirect
383. #2321C22semidirect
384. #2321C22semidirect
385. #2318C22semidirect
386. #2318C22semidirect
387. #2315C22semidirect
388. C4×#121C22semidirect
389. C4×#121C22semidirect
390. C4×#121C22semidirect
391. C2×#391C22semidirect
392. C2×#388C22semidirect
393. C2×#386C22semidirect
394. C2×#385C22semidirect
2175. C22⋊C4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
#594092
#594072
#591312
#589942
#589932
#566602
#555802
#554172
#553072
#552782
#551512
#539082
#534622
#523402
#523092
C2×#27122
#471412
#471232
#471082
#468362
#443252
#442032
#439102
#436672
#432442
#431752
#414102
#411742
#410302
#407222
#405932
#405862
#385962
#385452
#383642
#380382
#377162
#357502
#356802