Finite Group Databasebeta

← #7658149

Subgroups — #7658149

Order 512.

8468 conjugacy classes of subgroups.

The subgroup lattice has 2031 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3485C211yesmaximal, characteristic, complemented
3#42992C211yesmaximal, characteristic, complemented
4#42988C211yesmaximal, characteristic, complemented
5#42943C211yesmaximal, characteristic, complemented
6#42917C211yesmaximal, characteristic, complemented
7#42787C212yesmaximal, complemented
8#42786C212yesmaximal, complemented
9#42295C212yesmaximal, complemented
10#42294C212yesmaximal, complemented
11#42149C212yesmaximal, complemented
12#41952C212yesmaximal, complemented
13#40510C214yesmaximal, complemented
14#40508C214yesmaximal, complemented
15#39960C212yesmaximal, complemented
16#39956C212yesmaximal, complemented
17#38428C214yesmaximal, complemented
18#38425C214yesmaximal, complemented
19#37445C211yesmaximal, characteristic, complemented
20#37443C212yesmaximal, complemented
21#37441C212yesmaximal, complemented
22#37438C211yesmaximal, characteristic, complemented
23#36259C212yesmaximal, complemented
24#36218C212yesmaximal, complemented
25#36085C211yesmaximal, characteristic, complemented
26#36078C211yesmaximal, characteristic, complemented
27#36067C211yesmaximal, characteristic, complemented
28#35987C211yesmaximal, characteristic, complemented
29#35791C212yesmaximal, complemented
30#35750C212yesmaximal, complemented
31#35085C211yesmaximal, characteristic, complemented
32#35064C212yesmaximal, complemented
33#34575C211yesmaximal, characteristic, complemented
34C2×#2663C212yesmaximal, complemented
35C22⋊C4×#41C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic, complemented
37C22×H(5,𝔽2)C2211yescharacteristic
38C23×#41C2211yescharacteristic
39#3489—216no—
40#3485—216no—
41C2×D4×Q8C2212yescomplemented
42C2×#548C2212yescomplemented
43C2×#547C2211yescharacteristic
44C2×#547C2212yes—
45C2×#547C2212yes—
46C2×#547C2211yescharacteristic
47C2×#547C2211yescharacteristic
48C2×#547C2211yescharacteristic
49C2×#547C2214yescomplemented
50C2×#547C2212yescomplemented
51C2×#547C2212yescomplemented
52C2×#546C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×#546C2211yescharacteristic
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2212yes—
59C2×#546C2214yescomplemented
60C2×#546C2212yescomplemented
61C2×#537C2212yescomplemented
62C2×#537C2211yescharacteristic, complemented
63C2×#536C2211yescharacteristic
64C2×#536C2211yescharacteristic
65C2×#536C2212yescomplemented
66C2×#536C2211yescharacteristic, complemented
67C2×#534C2212yes—
68C2×#534C2212yes—
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×#525C2211yescharacteristic, complemented
72C2×#525C2212yescomplemented
73C22×#123C2212yes—
74C22×#123C2212yes—
75C22×C22⋊Q8C2211yescharacteristic, complemented
76C22×C22⋊Q8C2212yescomplemented
77C2×#520C2211yescharacteristic, complemented
78C2×#518C2211yescharacteristic
79C2×C4×#41C2212yescomplemented
80#2857C2212yescomplemented
81#2854C2214yescomplemented
82#2854C2214yescomplemented
83#2850C2212yescomplemented
84#2817C2212yescomplemented
85#2816C2212yescomplemented
86#2814C2214yescomplemented
87#2814C2214yescomplemented
88#2814C2212yescomplemented
89#2814C2212yescomplemented
90#2813C2212yescomplemented
91#2813C2212yescomplemented
92#2812C2214yescomplemented
93#2734C2214yescomplemented
94#2732C2214yescomplemented
95#2731C2214yescomplemented
96#2730C2214yescomplemented
97#2729C2214yescomplemented
98#2729C2214yescomplemented
99#2729C2214yescomplemented
100#2728C2214yescomplemented
101#2724C2214yescomplemented
102#2717C2214yescomplemented
103#2708C2214yescomplemented
104#2701C2214yescomplemented
105#2701C2214yescomplemented
106#2701C2214yescomplemented
107#2699C2214yescomplemented
108#2697C2214yescomplemented
109#2688C2214yescomplemented
110#2686C2214yescomplemented
111#2686C2214yescomplemented
112#2684C2214yescomplemented
113#2682C2214yescomplemented
114#2678C2214yescomplemented
115#2671C2214yescomplemented
116#2668C2214yescomplemented
117#2663C2212yescomplemented
118#2663C2212yescomplemented
119#2663C2211yescharacteristic, complemented
120#2663C2214yescomplemented
121#2663C2214yescomplemented
122#2663C2214yescomplemented
123#2663C2214yescomplemented
124#2663C2212yescomplemented
125#2663C2212yescomplemented
126#2663C2212yescomplemented
127#2663C2212yescomplemented
128#2663C2212yescomplemented
129#2663C2212yescomplemented
130#2663C2212yescomplemented
131#2663C2211yescharacteristic, complemented
132#2663C2212yescomplemented
133#2661C2212yescomplemented
134#2661C2211yescharacteristic, complemented
135#2661C2211yescharacteristic, complemented
136#2661C2212yescomplemented
137#2659C2211yescharacteristic, complemented
138#2656C2211yescharacteristic, complemented
139#2639C2211yescharacteristic, complemented
140#2639C2211yescharacteristic, complemented
141#2638C2212yescomplemented
142#2635C2212yescomplemented
143#2630C2214yescomplemented
144#2630C2214yescomplemented
145#2627C2212yescomplemented
146#2627C2212yescomplemented
147#2626C2212yescomplemented
148#2626C2212yescomplemented
149#2625C2212yescomplemented
150#2625C2211yescharacteristic, complemented
151#2624C2211yescharacteristic, complemented
152#2623C2212yescomplemented
153#2623C2212yescomplemented
154#2622C2212yescomplemented
155#2622C2212yescomplemented
156#2622C2214yescomplemented
157#2617C2212yescomplemented
158#2617C2212yescomplemented
159#2616C2212yes—
160#2616C2211yescharacteristic, complemented
161#2615C2211yescharacteristic, complemented
162#2614C2212yescomplemented
163#2614C2212yescomplemented
164#2613C2214yes—
165#2602C2214yescomplemented
166#2602C2214yescomplemented
167#2602C2214yescomplemented
168#2602C2214yescomplemented
169#2602C2214yescomplemented
170#2591C2212yescomplemented
171#2591C2212yescomplemented
172#2583C2214yescomplemented
173#2583C2212yescomplemented
174#2583C2212yescomplemented
175#2564C2212yescomplemented
176#2564C2212yescomplemented
177#2561C2214yescomplemented
178#2561C2212yescomplemented
179#2546C2212yescomplemented
180#2545C2212yescomplemented
181#2543C2214yescomplemented
182#2539C2212yescomplemented
183#2538C2212yescomplemented
184#2536C2212yescomplemented
185#2534C2214yescomplemented
186#2503C2211yescharacteristic, complemented
187#2501C2211yescharacteristic, complemented
188#2499C2212yescomplemented
189#2498C2212yescomplemented
190#2498C2212yescomplemented
191#2487C2211yescharacteristic, complemented
192#2487C2211yescharacteristic, complemented
193#2486C2214yescomplemented
194#2485C2212yescomplemented
195#2484C2212yescomplemented
196#2483C2214yescomplemented
197#2482C2212yescomplemented
198#2448C2212yescomplemented
199#2447C2212yescomplemented
200#2447C2212yescomplemented
201#2446C2212yescomplemented
202#2444C2214yescomplemented
203#2444C2214yescomplemented
204#2443C2214yescomplemented
205#2443C2214yescomplemented
206#2436C2211yescharacteristic, complemented
207#2436C2212yescomplemented
208#2435C2212yescomplemented
209#2434C2211yescharacteristic, complemented
210#2434C2212yescomplemented
211#2432C2212yes—
212#2432C2212yescomplemented
213#2430C2214yescomplemented
214#2430C2214yescomplemented
215#2430C2214yescomplemented
216#2430C2212yescomplemented
217#2430C2212yescomplemented
218#2429C2212yescomplemented
219#2429C2212yescomplemented
220#2429C2212yescomplemented
221#2426C2212yescomplemented
222#2425C2214yescomplemented
223#2425C2214yescomplemented
224#2425C2214yescomplemented
225#2424C2214yescomplemented
226#2423C2212yescomplemented
227#2422C2212yescomplemented
228#2421C2212yescomplemented
229#2420C2212yescomplemented
230#2419C2214yescomplemented
231#2419C2214yescomplemented
232#2419C2214yescomplemented
233#2418C2214yescomplemented
234#2416C2214yescomplemented
235#2415C2212yescomplemented
236#2415C2212yescomplemented
237#2415C2212yescomplemented
238#2414C2212yescomplemented
239#2413C2214yescomplemented
240#2413C2214yescomplemented
241#2413C2214yescomplemented
242#2412C2214yescomplemented
243#2412C2214yescomplemented
244#2411C2214yescomplemented
245#2410C2214yes—
246#2410C2214yescomplemented
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2409C2211yescharacteristic, complemented
250#2409C2211yescharacteristic, complemented
251#2408C2212yescomplemented
252#2407C2212yes—
253#2407C2212yescomplemented
254#2406C2214yescomplemented
255#2406C2214yescomplemented
256#2406C2212yescomplemented
257#2405C2214yes—
258#2405C2214yescomplemented
259#2404C2214yescomplemented
260#2404C2212yescomplemented
261#2395C2212yescomplemented
262#2395C2211yescharacteristic, complemented
263#2395C2211yescharacteristic, complemented
264C2×#400C2212yescomplemented
265C2×#399C2212yescomplemented
266C2×#397C2214yescomplemented
267#2388C2212yes—
268#2388C2211yescharacteristic, complemented
269#2388C2211yescharacteristic, complemented
270C2×#395C2212yescomplemented
271C2×#394C2214yes—
272C2×#393C2212yescomplemented
273#2349C2212yescomplemented
274D4×C4⋊C4C2212yescomplemented
275#2341C2211yescharacteristic, complemented
276#2341C2211yescharacteristic, complemented
277Q8×C22⋊C4C2212yescomplemented
278#2339C2212yescomplemented
279#2339C2212yescomplemented
280#2339C2211yescharacteristic, complemented
281#2339C2211yescharacteristic, complemented
282#2339C2212yescomplemented
283#2339C2212yescomplemented
284#2339C2212yescomplemented
285D4×C22⋊C4C2212yes—
286D4×C22⋊C4C2214yescomplemented
287D4×C22⋊C4C2212yescomplemented
288#2322C2214yescomplemented
289#2322C2214yescomplemented
290#2321C2214yescomplemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293#2297C2212yescomplemented
294#2297C2214yescomplemented
295C2×#389C2214yescomplemented
296C2×#388C2214yescomplemented
297#2280C2211yescharacteristic, complemented
298#2280C2212yescomplemented
299C2×C4×C22⋊C4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C2×2−1+4—28no—
302C2×2−1+4—48no—
303C2×H(5,𝔽2)—28no—
304C2×H(5,𝔽2)—48no—
305C22×#41—48no—
306C22×#41D4116yescomplemented
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2311yescharacteristic
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2311yescharacteristic
316C22×#41C2312yes—
317C22×#41C2314yes—
318C22×#41C2312yes—
319C22×#41C2311yescharacteristic
320C22×#41C2312yes—
321C22×#41C2311yescharacteristic
322C23×Q8C2312yes—
323C23×Q8C2311yescharacteristic
324C23×Q8C2312yes—
325C23×Q8C2311yescharacteristic
326C23×D4C2311yescharacteristic
327C23×D4C2311yescharacteristic
328C23×D4C2312yes—
329C23×D4C2312yes—
330C23×D4C2312yes—
331C23×D4C2311yescharacteristic
332C23×D4C2312yes—
333C24×C4C2312yes—
334C24×C4C2311yescharacteristic
335D4×Q8—216no—
336#548—216no—
337#547—28no—
338#547—28no—
339#547—216no—
340#547—28no—
341#547—216no—
342#547—28no—
343#547—216no—
344#547—232no—
345#547—48no—
346#546—28no—
347#546—28no—
348#546—216no—
349#546—28no—
350#546—216no—
351#546—28no—
352#546—216no—
353#546—232no—
354#546—48no—
355#537—216no—
356#537—28no—
357#536—216no—
358#536—28no—
359#536—28no—
360#536—28no—
361#534—216no—
362#534—216no—
363C2×C4⋊Q8C2311yescharacteristic
364C2×C4⋊Q8C2311yescharacteristic
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2312yes—
367C2×C4⋊Q8C2314yes—
368C2×C4⋊Q8C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375#525—28no—
376#525—28no—
377#525—216no—
378#525—28no—
379C2×#123—216no—
380C2×#123—216no—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2314yes—
394C2×#123C2311yescharacteristic
395C2×#123C2311yescharacteristic
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×#123C2314yes—
406C2×#123C2314yes—
407C2×#123C2314yes—
408C2×#123C2314yes—
409C2×#123C2314yes—
410C2×C22⋊Q8—216no—
411C2×C22⋊Q8—28no—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2314yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#120C2314yes—
464C2×#120C2311yescharacteristic
465C2×#120C2311yescharacteristic
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×#120C2312yes—
471C2×#120C2312yes—
472C2×#120C2314yes—
473C2×#120C2314yes—
474#520—28no—
475#518—28no—
476C4×#41—48no—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2314yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2314yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2314yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2314yes—
532C22×C42C2312yes—
533C22×C42C2314yes—
534#400C2312yes—
535#400C2314yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2311yescharacteristic
540#400C2312yes—
541#400C2311yescharacteristic
542#400C2312yes—
543#400C2314yes—
544#400C2314yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2311yescharacteristic
550#399C2312yes—
551#399C2311yescharacteristic
552#399C2314yes—
553#399C2314yes—
554#399C2312yes—
555#398C2314yes—
556#398C2311yescharacteristic
557#398C2314yes—
558#398C2314yes—
559#398C2312yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2312yes—
567#398C2311yescharacteristic
568#397C2311yescharacteristic
569#397C2314yes—
570#397C2314yes—
571#397C2312yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2314yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2312yes—
587#397C2311yescharacteristic
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#395C2312yes—
602#395C2314yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2314yes—
607#395C2314yes—
608#395C2311yescharacteristic
609#395C2312yes—
610#395C2311yescharacteristic
611#395C2314yes—
612#395C2314yes—
613#395C2312yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2311yescharacteristic
618#394C2312yes—
619#394C2312yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2312yes—
643#394C2311yescharacteristic
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2314yes—
653#393C2314yes—
654#393C2312yes—
655#393C2311yescharacteristic
656#393C2312yes—
657#393C2311yescharacteristic
658#393C2312yes—
659#393C2314yes—
660#393C2314yes—
661#392C2312yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2314yes—
671#392C2312yes—
672#392C2311yescharacteristic
673#392C2311yescharacteristic
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2314yes—
678#391C2314yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#390C2312yes—
685#390C2314yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2312yes—
692#390C2314yes—
693#390C2314yes—
694#390C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2314yes—
698#389C2312yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2314yes—
709#389C2314yes—
710#389C2314yes—
711#389C2314yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2312yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2312yes—
771#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#384C2312yes—
797#382C2312yes—
798#381C2312yes—
799#381C2314yes—
800#381C2314yes—
801#381C2314yes—
802#381C2314yes—
803#381C2312yes—
804#381C2312yes—
805#381C2314yes—
806#381C2314yes—
807#381C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2314yes—
812#380C2312yes—
813#380C2311yescharacteristic
814#380C2311yescharacteristic
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#380C2312yes—
823#380C2312yes—
824#379C2314yes—
825#379C2314yes—
826#379C2314yes—
827#379C2314yes—
828#379C2312yes—
829#379C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2312yes—
849C2×#95C2311yescharacteristic
850C2×#95C2311yescharacteristic
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2314yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2412yes—
859C25C2412yes—
860C25C2411yescharacteristic
8612−1+4—464no—
862H(5,𝔽2)—464no—
863C2×#41—216no—
864C2×#41—28no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—24no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—28no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—28no—
876C2×#41—24no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—48no—
880C2×#41—48no—
881C2×#41—48no—
882C2×#41—48no—
883C2×#41—48no—
884C2×#41—48no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—44no—
889C2×#41—464no—
890C2×#41C2×D418yes—
891C2×#41C2×D418yes—
892C2×#41C2×D4116yes—
893C2×#41C2×D418yes—
894C2×#41C2×D4116yes—
895C2×#41C2×D418yes—
896C22×Q8—28no—
897C22×Q8—28no—
898C22×Q8—24no—
899C22×Q8—48no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8—44no—
904C22×Q8C2×D418yes—
905C22×Q8C2412yes—
906C22×Q8C2411yescharacteristic
907C22×Q8C2411yescharacteristic
908C22×Q8C2411yescharacteristic
909C22×Q8C2412yes—
910C22×Q8C2411yescharacteristic
911C22×Q8C2414yes—
912C22×Q8C2411yescharacteristic
913C22×Q8C2412yes—
914C22×D4—28no—
915C22×D4—28no—
916C22×D4—28no—
917C22×D4—28no—
918C22×D4—24no—
919C22×D4—24no—
920C22×D4—28no—
921C22×D4—44no—
922C22×D4—48no—
923C22×D4—48no—
924C22×D4—48no—
925C22×D4—48no—
926C22×D4C2×D418yes—
927C22×D4C2×D4116yes—
928C22×D4C2414yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2411yescharacteristic
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2411yescharacteristic
936C22×D4C2412yes—
937C22×D4C2411yescharacteristic
938C22×D4C2411yescharacteristic
939C22×D4C2412yes—
940C22×D4C2412yes—
941C22×D4C2411yescharacteristic
942C22×D4C2411yescharacteristic
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2412yes—
946C22×D4C2412yes—
947C22×D4C2411yescharacteristic
948C22×D4C2411yescharacteristic
949C22×D4C2412yes—
950C22×D4C2411yescharacteristic
951C22×D4C2412yes—
952C22×D4C2412yes—
953C22×D4C2411yescharacteristic
954C22×D4C2412yes—
955C22×D4C2414yes—
956C22×D4C2412yes—
957C22×D4C2412yes—
958C22×D4C2411yescharacteristic
959C23×C4—44no—
960C23×C4—48no—
961C23×C4C2×D4116yes—
962C23×C4C2×D418yes—
963C23×C4C2414yes—
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2414yes—
969C23×C4C2412yes—
970C23×C4C2412yes—
971C23×C4C2411yescharacteristic
972C23×C4C2411yescharacteristic
973C23×C4C2411yescharacteristic
974C23×C4C2412yes—
975C23×C4C2414yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2414yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2414yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2412yes—
989C23×C4C2411yescharacteristic
990C23×C4C2411yescharacteristic
991C23×C4C2412yes—
992C23×C4C2411yescharacteristic
993C4⋊Q8—24no—
994C4⋊Q8—24no—
995C4⋊Q8—28no—
996C4⋊Q8—28no—
997C4⋊Q8—216no—
998C4⋊Q8—44no—
999#124—24no—
1000#124—24no—
1001#124—28no—
1002#124—28no—
1003#124—216no—
1004#124—44no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—28no—
1009#123—216no—
1010#123—216no—
1011#123—216no—
1012#123—24no—
1013#123—28no—
1014#123—24no—
1015#123—28no—
1016#123—28no—
1017#123—28no—
1018#123—28no—
1019#123—28no—
1020#123—28no—
1021#123—28no—
1022#123—28no—
1023#123—28no—
1024#123—28no—
1025#123—28no—
1026#123—28no—
1027#123—216no—
1028#123—28no—
1029#123—48no—
1030#123—48no—
1031#123—48no—
1032#123—48no—
1033#123—48no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036C22⋊Q8—24no—
1037C22⋊Q8—24no—
1038C22⋊Q8—28no—
1039C22⋊Q8—28no—
1040C22⋊Q8—28no—
1041C22⋊Q8—216no—
1042C22⋊Q8—24no—
1043C22⋊Q8—28no—
1044C22⋊Q8—28no—
1045C22⋊Q8—28no—
1046C22⋊Q8—28no—
1047C22⋊Q8—28no—
1048C22⋊Q8—216no—
1049C22⋊Q8—28no—
1050C22⋊Q8—216no—
1051C22⋊Q8—28no—
1052C22⋊Q8—24no—
1053C22⋊Q8—24no—
1054C22⋊Q8—24no—
1055C22⋊Q8—24no—
1056C22⋊Q8—24no—
1057C22⋊Q8—44no—
1058C22⋊Q8—44no—
1059C22⋊Q8—44no—
1060#121—28no—
1061#121—28no—
1062#121—28no—
1063#121—28no—
1064#121—28no—
1065#121—28no—
1066#121—28no—
1067#121—28no—
1068#121—216no—
1069#121—216no—
1070#121—216no—
1071#121—28no—
1072#121—216no—
1073#121—24no—
1074#121—28no—
1075#121—24no—
1076#121—24no—
1077#121—24no—
1078#121—24no—
1079#121—24no—
1080#121—44no—
1081#121—44no—
1082#121—44no—
1083#121—48no—
1084#121—48no—
1085#120—24no—
1086#120—24no—
1087#120—28no—
1088#120—216no—
1089#120—28no—
1090#120—28no—
1091#120—28no—
1092#120—28no—
1093#120—28no—
1094#120—48no—
1095#120—48no—
1096C4×Q8—28no—
1097C4×Q8—44no—
1098C4×Q8—44no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—24no—
1105C4×D4—216no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—28no—
1116C4×D4—216no—
1117C4×D4—28no—
1118C4×D4—216no—
1119C4×D4—44no—
1120C4×D4—44no—
1121C4×D4—48no—
1122C4×D4—48no—
1123#117—24no—
1124#117—24no—
1125#117—28no—
1126#117—24no—
1127#117—48no—
1128#117—44no—
1129C2×C4⋊C4—28no—
1130C2×C4⋊C4—24no—
1131C2×C4⋊C4—216no—
1132C2×C4⋊C4—28no—
1133C2×C4⋊C4—28no—
1134C2×C4⋊C4—28no—
1135C2×C4⋊C4—28no—
1136C2×C4⋊C4—28no—
1137C2×C4⋊C4—48no—
1138C2×C4⋊C4—48no—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2414yes—
1190C2×C22⋊C4—28no—
1191C2×C22⋊C4—28no—
1192C2×C22⋊C4—216no—
1193C2×C22⋊C4—28no—
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—48no—
1199C2×C22⋊C4—44no—
1200C2×C22⋊C4—48no—
1201C2×C22⋊C4—48no—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2411yescharacteristic
1240C2×C22⋊C4C2411yescharacteristic
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C42—44no—
1282C2×C42—48no—
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2414yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2414yes—
1292C2×C42C2414yes—
1293C2×C42C2414yes—
1294C2×C42C2412yes—
1295#95C2411yescharacteristic
1296#95C2411yescharacteristic
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2411yescharacteristic
1302#95C2412yes—
1303#95C2411yescharacteristic
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342C24—28no—
1343C24—24no—
1344C24—24no—
1345C24—28no—
1346C24—44no—
1347C24—42no—
1348C24—42no—
1349C24—42no—
1350C24—42no—
1351C24—41no—
1352C24—41no—
1353C24—44no—
1354C24—44no—
1355C24—42no—
1356C24—42no—
1357C24—44no—
1358C24—42no—
1359C24—42no—
1360C24C22×D418yes—
1361C24C22×D414yes—
1362C24C2511yescharacteristic
1363C24C2511yescharacteristic
1364C24C2512yes—
1365C24C2512yes—
1366C24C2511yescharacteristic
1367C24C2512yes—
1368C24C2511yescharacteristic
1369C24C2511yescharacteristic
1370C24C2512yes—
1371#41—232no—
1372#41—232no—
1373#41—432no—
1374#41—432no—
1375#41—416no—
1376#41—416no—
1377#41—416no—
1378#41—416no—
1379#41—432no—
1380#41—416no—
1381#41—432no—
1382#41—416no—
1383#41—464no—
1384#41—416no—
1385#41—432no—
1386C2×Q8—22no—
1387C2×Q8—24no—
1388C2×Q8—28no—
1389C2×Q8—24no—
1390C2×Q8—22no—
1391C2×Q8—22no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—24no—
1395C2×Q8—24no—
1396C2×Q8—24no—
1397C2×Q8—42no—
1398C2×Q8—44no—
1399C2×Q8—44no—
1400C2×Q8—44no—
1401C2×Q8—44no—
1402C2×Q8—42no—
1403C2×Q8—416no—
1404C2×Q8—432no—
1405C2×Q8—416no—
1406C2×Q8—432no—
1407C2×Q8C22×D414yes—
1408C2×Q8C22×D414yes—
1409C2×Q8C22×D418yes—
1410C2×D4—28no—
1411C2×D4—28no—
1412C2×D4—28no—
1413C2×D4—232no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—28no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—28no—
1425C2×D4—28no—
1426C2×D4—28no—
1427C2×D4—28no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—24no—
1435C2×D4—28no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—44no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—42no—
1459C2×D4—42no—
1460C2×D4—42no—
1461C2×D4—42no—
1462C2×D4—42no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—42no—
1470C2×D4—41no—
1471C2×D4—41no—
1472C2×D4—42no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—432no—
1477C2×D4—432no—
1478C2×D4—416no—
1479C2×D4—432no—
1480C2×D4—432no—
1481C2×D4—416no—
1482C2×D4C22×D418yes—
1483C2×D4C22×D418yes—
1484C2×D4C22×D414yes—
1485C2×D4C22×D418yes—
1486C2×D4C22×D418yes—
1487C2×D4C22×D418yes—
1488C2×D4C22×D414yes—
1489C2×D4H(5,𝔽2)18yes—
1490C22×C4—28no—
1491C22×C4—28no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—28no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—28no—
1500C22×C4—28no—
1501C22×C4—28no—
1502C22×C4—28no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—24no—
1508C22×C4—28no—
1509C22×C4—28no—
1510C22×C4—28no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—24no—
1516C22×C4—24no—
1517C22×C4—24no—
1518C22×C4—24no—
1519C22×C4—28no—
1520C22×C4—24no—
1521C22×C4—416no—
1522C22×C4—42no—
1523C22×C4—432no—
1524C22×C4—44no—
1525C22×C4—42no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—42no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—44no—
1539C22×C4—44no—
1540C22×C4—44no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—44no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—42no—
1548C22×C4—42no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4C22×D418yes—
1552C22×C4C22×D418yes—
1553C22×C4C22×D414yes—
1554C22×C4C22×D414yes—
1555C22×C4C22×D414yes—
1556C22×C4C22×D418yes—
1557C22×C4C22×D418yes—
1558C22×C4C22×D414yes—
1559C22×C4C22×D414yes—
1560C22×C4C22×D418yes—
1561C22×C4C22×D414yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2514yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2512yes—
1567C22×C4C2511yescharacteristic
1568C22×C4C2512yes—
1569C22×C4C2514yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2511yescharacteristic
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2514yes—
1576C22×C4C2512yes—
1577C22×C4C2514yes—
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2511yescharacteristic
1583C22×C4C2511yescharacteristic
1584C22×C4C2511yescharacteristic
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2511yescharacteristic
1588C4⋊C4—22no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—28no—
1592C4⋊C4—22no—
1593C4⋊C4—24no—
1594C4⋊C4—22no—
1595C4⋊C4—22no—
1596C4⋊C4—24no—
1597C4⋊C4—22no—
1598C4⋊C4—28no—
1599C4⋊C4—24no—
1600C4⋊C4—28no—
1601C4⋊C4—28no—
1602C4⋊C4—28no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—22no—
1612C4⋊C4—22no—
1613C4⋊C4—22no—
1614C4⋊C4—22no—
1615C4⋊C4—22no—
1616C4⋊C4—24no—
1617C4⋊C4—28no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—28no—
1622C4⋊C4—42no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—44no—
1627C4⋊C4—44no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—44no—
1631C4⋊C4—44no—
1632C4⋊C4—44no—
1633C4⋊C4—42no—
1634C4⋊C4—42no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—22no—
1642C22⋊C4—24no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—28no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—24no—
1654C22⋊C4—22no—
1655C22⋊C4—22no—
1656C22⋊C4—24no—
1657C22⋊C4—22no—
1658C22⋊C4—22no—
1659C22⋊C4—24no—
1660C22⋊C4—28no—
1661C22⋊C4—28no—
1662C22⋊C4—28no—
1663C22⋊C4—22no—
1664C22⋊C4—24no—
1665C22⋊C4—22no—
1666C22⋊C4—22no—
1667C22⋊C4—24no—
1668C22⋊C4—22no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—24no—
1678C22⋊C4—24no—
1679C22⋊C4—28no—
1680C22⋊C4—24no—
1681C22⋊C4—24no—
1682C22⋊C4—28no—
1683C22⋊C4—28no—
1684C22⋊C4—24no—
1685C22⋊C4—24no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—42no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—42no—
1697C22⋊C4—42no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—42no—
1702C22⋊C4—44no—
1703C22⋊C4—42no—
1704C22⋊C4—42no—
1705C22⋊C4—42no—
1706C22⋊C4—44no—
1707C22⋊C4—42no—
1708C22⋊C4—42no—
1709C22⋊C4—42no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4—42no—
1713C22⋊C4—42no—
1714C22⋊C4—44no—
1715C22⋊C4—44no—
1716C22⋊C4—44no—
1717C22⋊C4—44no—
1718C42—24no—
1719C42—22no—
1720C42—22no—
1721C42—28no—
1722C42—24no—
1723C42—24no—
1724C42—24no—
1725C42—42no—
1726C42—42no—
1727C42—44no—
1728C42—44no—
1729C42—44no—
1730C23—24no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—24no—
1737C23—22no—
1738C23—22no—
1739C23—24no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—216no—
1750C23—22no—
1751C23—21no—
1752C23—21no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—24no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—24no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—22no—
1772C23—44no—
1773C23—48no—
1774C23—48no—
1775C23—44no—
1776C23—44no—
1777C23—48no—
1778C23—48no—
1779C23—88no—
1780C23—88no—
1781C23—84no—
1782C23—84no—
1783C23—88no—
1784C23—88no—
1785C23—84no—
1786C23—84no—
1787C23—84no—
1788C23—84no—
1789C23—164no—
1790C23—164no—
1791C23C23×D412yes—
1792C23C23×D412yes—
1793C23C23×D414yes—
1794C23C23×D412yes—
1795C23C23×D414yes—
1796C23C2×H(5,𝔽2)18yes—
1797C23C2611yescharacteristic
1798Q8—28no—
1799Q8—28no—
1800Q8—48no—
1801Q8—44no—
1802Q8—48no—
1803Q8—416no—
1804Q8—44no—
1805Q8—48no—
1806Q8—44no—
1807D4—216no—
1808D4—216no—
1809D4—216no—
1810D4—28no—
1811D4—48no—
1812D4—48no—
1813D4—44no—
1814D4—44no—
1815D4—48no—
1816D4—44no—
1817D4—44no—
1818D4—48no—
1819D4—48no—
1820D4—48no—
1821D4—48no—
1822D4—48no—
1823D4—48no—
1824D4—416no—
1825D4—44no—
1826D4—84no—
1827D4—84no—
1828D4—88no—
1829D4—84no—
1830D4—82no—
1831D4—82no—
1832D4—82no—
1833D4—82no—
1834D4—84no—
1835D4—84no—
1836D4—164no—
1837D4#534116yes—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—216no—
1846C2×C4—216no—
1847C2×C4—28no—
1848C2×C4—28no—
1849C2×C4—28no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—24no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—24no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—24no—
1876C2×C4—22no—
1877C2×C4—24no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—24no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—24no—
1887C2×C4—24no—
1888C2×C4—24no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—24no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—44no—
1902C2×C4—48no—
1903C2×C4—44no—
1904C2×C4—48no—
1905C2×C4—44no—
1906C2×C4—48no—
1907C2×C4—416no—
1908C2×C4—48no—
1909C2×C4—416no—
1910C2×C4—48no—
1911C2×C4—48no—
1912C2×C4—48no—
1913C2×C4—416no—
1914C2×C4—44no—
1915C2×C4—44no—
1916C2×C4—48no—
1917C2×C4—84no—
1918C2×C4—84no—
1919C2×C4—88no—
1920C2×C4—84no—
1921C2×C4—84no—
1922C2×C4—84no—
1923C2×C4—84no—
1924C2×C4—88no—
1925C2×C4—84no—
1926C2×C4C23×D414yes—
1927C2×C4C23×D412yes—
1928C2×C4C23×D412yes—
1929C2×C4C23×D414yes—
1930C2×C4C23×D412yes—
1931C2×C4C23×D412yes—
1932C2×C4C2×H(5,𝔽2)14yes—
1933C2×C4#58514yes—
1934C22—24no—
1935C22—24no—
1936C22—28no—
1937C22—28no—
1938C22—22no—
1939C22—24no—
1940C22—22no—
1941C22—22no—
1942C22—24no—
1943C22—22no—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—22no—
1948C22—22no—
1949C22—24no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—44no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—44no—
1958C22—42no—
1959C22—41no—
1960C22—42no—
1961C22—41no—
1962C22—42no—
1963C22—41no—
1964C22—41no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—44no—
1971C22—42no—
1972C22—44no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—41no—
1979C22—41no—
1980C22—816no—
1981C22—88no—
1982C22—168no—
1983C22—168no—
1984C22C2×#53418yes—
1985C22C24×D411yescharacteristic
1986C22C22×H(5,𝔽2)12yes—
1987C22C2×#58512yes—
1988C222−1+611yescharacteristic
1989C222−1+611yescharacteristic
1990C4—24no—
1991C4—22no—
1992C4—22no—
1993C4—22no—
1994C4—24no—
1995C4—24no—
1996C4—41no—
1997C4—41no—
1998C4—42no—
1999C4—42no—
2000C4—44no—
2001C4—42no—
2002C4—41no—
2003C4—41no—
2004C4—42no—
2005C4—44no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—44no—
2010C4—41no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—44no—
2015C4C2×#53414yes—
2016C2—28no—
2017C2—42no—
2018C2—42no—
2019C2—42no—
2020C2—44no—
2021C2—82no—
2022C2—81no—
2023C2—81no—
2024C2—82no—
2025C2C22×#53411yescharacteristic
2026C2#6281211yescharacteristic
2027C2#6285911yescharacteristic
2028C2#6289812yes—
2029C2#6292112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3489C2semidirect
2. C2×#3485C2semidirect
3. #42992C2semidirect
4. #42988C2semidirect
5. #42943C2semidirect
6. #42917C2semidirect
7. #42787C2semidirect
8. #42786C2semidirect
9. #42295C2semidirect
10. #42294C2semidirect
11. #42149C2semidirect
12. #41952C2semidirect
13. #40510C2semidirect
14. #40508C2semidirect
15. #39960C2semidirect
16. #39956C2semidirect
17. #38428C2semidirect
18. #38425C2semidirect
19. #37445C2semidirect
20. #37443C2semidirect
21. #37441C2semidirect
22. #37438C2semidirect
23. #36259C2semidirect
24. #36218C2semidirect
25. #36085C2semidirect
26. #36078C2semidirect
27. #36067C2semidirect
28. #35987C2semidirect
29. #35791C2semidirect
30. #35750C2semidirect
31. #35085C2semidirect
32. #35064C2semidirect
33. #34575C2semidirect
34. C2×#2663C2semidirect
35. C22⋊C4×#41C2semidirect
36. C22×2−1+4C22semidirect
41. C2×D4×Q8C22semidirect
42. C2×#548C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
59. C2×#546C22semidirect
60. C2×#546C22semidirect
61. C2×#537C22semidirect
62. C2×#537C22semidirect
65. C2×#536C22semidirect
66. C2×#536C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
75. C22×C22⋊Q8C22semidirect
76. C22×C22⋊Q8C22semidirect
77. C2×#520C22semidirect
79. C2×C4×#41C22semidirect
80. #2857C22semidirect
81. #2854C22semidirect
82. #2854C22semidirect
83. #2850C22semidirect
84. #2817C22semidirect
85. #2816C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
90. #2813C22semidirect
91. #2813C22semidirect
92. #2812C22semidirect
93. #2734C22semidirect
94. #2732C22semidirect
95. #2731C22semidirect
96. #2730C22semidirect
97. #2729C22semidirect
98. #2729C22semidirect
99. #2729C22semidirect
100. #2728C22semidirect
101. #2724C22semidirect
102. #2717C22semidirect
103. #2708C22semidirect
104. #2701C22semidirect
105. #2701C22semidirect
106. #2701C22semidirect
107. #2699C22semidirect
108. #2697C22semidirect
109. #2688C22semidirect
110. #2686C22semidirect
111. #2686C22semidirect
112. #2684C22semidirect
113. #2682C22semidirect
114. #2678C22semidirect
115. #2671C22semidirect
116. #2668C22semidirect
117. #2663C22semidirect
118. #2663C22semidirect
119. #2663C22semidirect
120. #2663C22semidirect
121. #2663C22semidirect
122. #2663C22semidirect
123. #2663C22semidirect
124. #2663C22semidirect
125. #2663C22semidirect
126. #2663C22semidirect
127. #2663C22semidirect
128. #2663C22semidirect
129. #2663C22semidirect
130. #2663C22semidirect
131. #2663C22semidirect
132. #2663C22semidirect
133. #2661C22semidirect
134. #2661C22semidirect
135. #2661C22semidirect
136. #2661C22semidirect
137. #2659C22semidirect
138. #2656C22semidirect
139. #2639C22semidirect
140. #2639C22semidirect
141. #2638C22semidirect
142. #2635C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2627C22semidirect
146. #2627C22semidirect
147. #2626C22semidirect
148. #2626C22semidirect
149. #2625C22semidirect
150. #2625C22semidirect
151. #2624C22semidirect
152. #2623C22semidirect
153. #2623C22semidirect
154. #2622C22semidirect
155. #2622C22semidirect
156. #2622C22semidirect
157. #2617C22semidirect
158. #2617C22semidirect
160. #2616C22semidirect
161. #2615C22semidirect
162. #2614C22semidirect
163. #2614C22semidirect
165. #2602C22semidirect
166. #2602C22semidirect
167. #2602C22semidirect
168. #2602C22semidirect
169. #2602C22semidirect
170. #2591C22semidirect
171. #2591C22semidirect
172. #2583C22semidirect
173. #2583C22semidirect
174. #2583C22semidirect
175. #2564C22semidirect
176. #2564C22semidirect
177. #2561C22semidirect
178. #2561C22semidirect
179. #2546C22semidirect
180. #2545C22semidirect
181. #2543C22semidirect
182. #2539C22semidirect
183. #2538C22semidirect
184. #2536C22semidirect
185. #2534C22semidirect
186. #2503C22semidirect
187. #2501C22semidirect
188. #2499C22semidirect
189. #2498C22semidirect
190. #2498C22semidirect
191. #2487C22semidirect
192. #2487C22semidirect
193. #2486C22semidirect
194. #2485C22semidirect
195. #2484C22semidirect
196. #2483C22semidirect
197. #2482C22semidirect
198. #2448C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2446C22semidirect
202. #2444C22semidirect
203. #2444C22semidirect
204. #2443C22semidirect
205. #2443C22semidirect
206. #2436C22semidirect
207. #2436C22semidirect
208. #2435C22semidirect
209. #2434C22semidirect
210. #2434C22semidirect
212. #2432C22semidirect
213. #2430C22semidirect
214. #2430C22semidirect
215. #2430C22semidirect
216. #2430C22semidirect
217. #2430C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
220. #2429C22semidirect
221. #2426C22semidirect
222. #2425C22semidirect
223. #2425C22semidirect
224. #2425C22semidirect
225. #2424C22semidirect
226. #2423C22semidirect
227. #2422C22semidirect
228. #2421C22semidirect
229. #2420C22semidirect
230. #2419C22semidirect
231. #2419C22semidirect
232. #2419C22semidirect
233. #2418C22semidirect
234. #2416C22semidirect
235. #2415C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
238. #2414C22semidirect
239. #2413C22semidirect
240. #2413C22semidirect
241. #2413C22semidirect
242. #2412C22semidirect
243. #2412C22semidirect
244. #2411C22semidirect
246. #2410C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
251. #2408C22semidirect
253. #2407C22semidirect
254. #2406C22semidirect
255. #2406C22semidirect
256. #2406C22semidirect
258. #2405C22semidirect
259. #2404C22semidirect
260. #2404C22semidirect
261. #2395C22semidirect
262. #2395C22semidirect
263. #2395C22semidirect
264. C2×#400C22semidirect
265. C2×#399C22semidirect
266. C2×#397C22semidirect
268. #2388C22semidirect
269. #2388C22semidirect
270. C2×#395C22semidirect
272. C2×#393C22semidirect
273. #2349C22semidirect
274. D4×C4⋊C4C22semidirect
275. #2341C22semidirect
276. #2341C22semidirect
277. Q8×C22⋊C4C22semidirect
278. #2339C22semidirect
279. #2339C22semidirect
280. #2339C22semidirect
281. #2339C22semidirect
282. #2339C22semidirect
283. #2339C22semidirect
284. #2339C22semidirect
286. D4×C22⋊C4C22semidirect
287. D4×C22⋊C4C22semidirect
288. #2322C22semidirect
289. #2322C22semidirect
290. #2321C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. #2297C22semidirect
294. #2297C22semidirect
295. C2×#389C22semidirect
296. C2×#388C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C2×C4×C22⋊C4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
306. C22×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34852
#429922
#429882
#429432
#429172
#427872
#427862
#422952
#422942
#421492
#419522
#405102
#405082
#399602
#399562
#384282
#384252
#374452
#374432
#374412
#374382
#362592
#362182
#360852
#360782
#360672
#359872
#357912
#357502
#350852
#350642
#345752
C2×#26632
C22⋊C4×#412