Finite Group Databasebeta

← #7658138

Subgroups — #7658138

Order 512.

8571 conjugacy classes of subgroups.

The subgroup lattice has 2045 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×D4×#41C211yesmaximal, characteristic, complemented
3#42985C211yesmaximal, characteristic, complemented
4#42984C211yesmaximal, characteristic, complemented
5#42913C211yesmaximal, characteristic, complemented
6#42912C211yesmaximal, characteristic, complemented
7#42807C212yesmaximal, complemented
8#42806C212yesmaximal, complemented
9#42295C212yesmaximal, complemented
10#42294C212yesmaximal, complemented
11#41937C212yesmaximal, complemented
12#41936C212yesmaximal, complemented
13#41404C214yesmaximal, complemented
14#40585C214yesmaximal, complemented
15#39864C212yesmaximal, complemented
16#39860C212yesmaximal, complemented
17#38369C214yesmaximal, complemented
18#38365C214yesmaximal, complemented
19#37454C212yesmaximal, complemented
20#37449C211yesmaximal, characteristic, complemented
21#37447C212yesmaximal, complemented
22#37445C211yesmaximal, characteristic, complemented
23#36217C212yesmaximal, complemented
24#36213C212yesmaximal, complemented
25#36085C211yesmaximal, characteristic, complemented
26#36078C211yesmaximal, characteristic, complemented
27#36009C212yesmaximal, complemented
28#35998C211yesmaximal, characteristic, complemented
29#35976C211yesmaximal, characteristic, complemented
30#35761C212yesmaximal, complemented
31#35084C211yesmaximal, characteristic, complemented
32#35063C212yesmaximal, complemented
33#34562C211yesmaximal, characteristic, complemented
34C2×#2638C212yesmaximal, complemented
35#34172C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic, complemented
37C23×#41C2211yescharacteristic
38C23×#41C2211yescharacteristic
39#3489—216no—
40D4×#41—216no—
41C2×#550C2211yescharacteristic
42C2×D4×Q8C2211yescharacteristic
43C2×D4×Q8C2212yescomplemented
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2212yescomplemented
47C2×#547C2212yes—
48C2×#547C2212yes—
49C2×#547C2211yescharacteristic
50C2×#547C2214yescomplemented
51C2×#547C2212yescomplemented
52C2×#546C2212yes—
53C2×#546C2211yescharacteristic
54C2×#546C2211yescharacteristic
55C2×#546C2212yes—
56C2×#546C2214yescomplemented
57C2×#546C2212yescomplemented
58C2×#546C2212yescomplemented
59C2×D42C2212yes—
60C2×D42C2211yescharacteristic
61C2×#537C2212yescomplemented
62C2×#537C2211yescharacteristic, complemented
63C2×#536C2212yescomplemented
64C2×#536C2211yescharacteristic, complemented
65C2×#532C2211yescharacteristic
66C2×#532C2212yes—
67C2×#525C2211yescharacteristic
68C2×#525C2212yes—
69C2×#525C2211yescharacteristic
70C2×#525C2212yes—
71C2×#525C2211yescharacteristic, complemented
72C2×#525C2212yescomplemented
73C22×C22⋊Q8C2212yescomplemented
74C22×C22⋊Q8C2211yescharacteristic, complemented
75C2×#520C2211yescharacteristic, complemented
76C2×#518C2212yescomplemented
77C2×C4×#41C2211yescharacteristic
78C22×C4×D4C2212yes—
79C22×C4×D4C2211yescharacteristic
80#2855C2212yescomplemented
81#2853C2214yescomplemented
82#2849C2214yescomplemented
83#2848C2212yescomplemented
84#2817C2212yescomplemented
85#2817C2214yescomplemented
86#2816C2212yescomplemented
87#2816C2214yescomplemented
88#2816C2212yescomplemented
89#2815C2212yescomplemented
90#2814C2212yescomplemented
91#2814C2212yescomplemented
92#2812C2214yescomplemented
93#2734C2214yescomplemented
94#2732C2214yescomplemented
95#2731C2214yescomplemented
96#2730C2214yescomplemented
97#2729C2214yescomplemented
98#2729C2214yescomplemented
99#2729C2214yescomplemented
100#2728C2214yescomplemented
101#2717C2214yescomplemented
102#2717C2214yescomplemented
103#2709C2214yescomplemented
104#2708C2214yescomplemented
105#2708C2214yescomplemented
106#2708C2214yescomplemented
107#2688C2214yescomplemented
108#2688C2214yescomplemented
109#2686C2214yescomplemented
110#2686C2214yescomplemented
111#2686C2214yescomplemented
112#2684C2214yescomplemented
113#2673C2214yescomplemented
114#2671C2214yescomplemented
115#2671C2214yescomplemented
116#2668C2214yescomplemented
117#2663C2212yescomplemented
118#2661C2212yescomplemented
119#2659C2212yescomplemented
120#2659C2212yescomplemented
121#2639C2212yescomplemented
122#2639C2212yescomplemented
123#2638C2211yescharacteristic
124#2638C2212yes—
125#2638C2214yes—
126#2638C2212yescomplemented
127#2638C2214yescomplemented
128#2638C2212yescomplemented
129#2638C2212yescomplemented
130#2638C2212yescomplemented
131#2638C2212yescomplemented
132#2638C2212yescomplemented
133#2638C2214yescomplemented
134#2638C2214yescomplemented
135#2638C2211yescharacteristic, complemented
136#2638C2212yescomplemented
137#2638C2214yescomplemented
138#2638C2212yescomplemented
139#2635C2211yescharacteristic
140#2635C2211yescharacteristic, complemented
141#2635C2214yescomplemented
142#2635C2212yescomplemented
143#2630C2212yescomplemented
144#2630C2212yescomplemented
145#2627C2211yescharacteristic, complemented
146#2626C2211yescharacteristic, complemented
147#2625C2211yescharacteristic, complemented
148#2624C2211yescharacteristic, complemented
149#2623C2212yescomplemented
150#2623C2212yescomplemented
151#2622C2212yescomplemented
152#2622C2214yescomplemented
153#2621C2212yescomplemented
154#2620C2212yescomplemented
155#2618C2211yescharacteristic, complemented
156#2617C2211yescharacteristic, complemented
157#2617C2214yescomplemented
158#2617C2214yescomplemented
159#2616C2211yescharacteristic, complemented
160#2615C2211yescharacteristic, complemented
161#2614C2212yescomplemented
162#2614C2212yescomplemented
163#2613C2212yes—
164#2602C2214yescomplemented
165#2600C2214yes—
166#2600C2214yescomplemented
167#2600C2214yescomplemented
168#2600C2214yescomplemented
169#2583C2212yescomplemented
170#2579C2214yescomplemented
171#2564C2212yescomplemented
172#2564C2212yescomplemented
173#2564C2214yescomplemented
174#2564C2214yescomplemented
175#2561C2212yescomplemented
176#2547C2212yescomplemented
177#2544C2212yescomplemented
178#2543C2214yescomplemented
179#2543C2212yescomplemented
180#2543C2212yescomplemented
181#2537C2212yescomplemented
182#2535C2212yescomplemented
183#2534C2214yescomplemented
184#2504C2211yescharacteristic, complemented
185#2502C2211yescharacteristic, complemented
186#2499C2212yescomplemented
187#2498C2212yescomplemented
188#2498C2212yescomplemented
189#2498C2214yescomplemented
190#2486C2211yescharacteristic, complemented
191#2486C2211yescharacteristic, complemented
192#2486C2214yescomplemented
193#2485C2212yescomplemented
194#2484C2212yescomplemented
195#2484C2214yescomplemented
196#2483C2212yescomplemented
197#2482C2212yescomplemented
198#2448C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2446C2212yescomplemented
202#2444C2214yescomplemented
203#2444C2214yescomplemented
204#2443C2214yescomplemented
205#2443C2214yescomplemented
206#2436C2212yescomplemented
207#2436C2211yescharacteristic, complemented
208#2434C2212yescomplemented
209#2434C2212yescomplemented
210#2434C2211yescharacteristic, complemented
211#2432C2212yescomplemented
212#2432C2212yescomplemented
213#2430C2214yescomplemented
214#2430C2212yescomplemented
215#2430C2212yescomplemented
216#2430C2214yescomplemented
217#2430C2214yescomplemented
218#2430C2214yescomplemented
219#2428C2212yescomplemented
220#2427C2212yescomplemented
221#2427C2212yescomplemented
222#2427C2212yescomplemented
223#2425C2214yescomplemented
224#2425C2214yescomplemented
225#2425C2214yescomplemented
226#2424C2214yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2421C2212yescomplemented
230#2421C2212yescomplemented
231#2419C2214yescomplemented
232#2419C2214yescomplemented
233#2419C2214yescomplemented
234#2418C2214yescomplemented
235#2416C2214yescomplemented
236#2415C2212yes—
237#2415C2212yescomplemented
238#2415C2212yescomplemented
239#2414C2212yescomplemented
240#2412C2214yescomplemented
241#2412C2214yescomplemented
242#2412C2214yescomplemented
243#2410C2214yes—
244#2410C2214yescomplemented
245#2409C2211yescharacteristic, complemented
246#2409C2211yescharacteristic, complemented
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2409C2212yescomplemented
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2406C2214yescomplemented
253#2406C2214yescomplemented
254#2406C2214yescomplemented
255#2406C2212yescomplemented
256#2405C2212yes—
257#2405C2214yescomplemented
258#2404C2214yescomplemented
259#2404C2212yescomplemented
260#2395C2211yescharacteristic, complemented
261#2395C2211yescharacteristic, complemented
262#2392C2212yes—
263#2392C2212yescomplemented
264C2×#398C2212yescomplemented
265C2×#397C2212yescomplemented
266C2×#397C2214yescomplemented
267#2388C2211yescharacteristic, complemented
268#2388C2211yescharacteristic, complemented
269C2×#395C2212yescomplemented
270C2×#394C2214yes—
271C2×#393C2212yescomplemented
272#2349C2212yescomplemented
273D4×C4⋊C4C2212yescomplemented
274#2339C2212yes—
275#2339C2212yescomplemented
276#2339C2212yescomplemented
277#2339C2212yescomplemented
278#2339C2212yescomplemented
279#2339C2212yescomplemented
280#2339C2211yescharacteristic, complemented
281#2339C2211yescharacteristic, complemented
282#2339C2211yescharacteristic, complemented
283#2339C2211yescharacteristic, complemented
284#2339C2212yescomplemented
285#2339C2214yescomplemented
286D4×C22⋊C4C2212yescomplemented
287#2325C2214yescomplemented
288#2325C2214yescomplemented
289#2322C2212yescomplemented
290#2322C2212yescomplemented
291#2310C2212yescomplemented
292#2308C2214yescomplemented
293C4×#123C2212yescomplemented
294C4×#120C2212yescomplemented
295C2×#387C2214yescomplemented
296C2×#385C2214yescomplemented
297#2280C2211yescharacteristic, complemented
298#2280C2211yescharacteristic, complemented
299C2×#381C2212yescomplemented
300C2×#381C2212yescomplemented
301C2×2−1+4—28no—
302C2×2−1+4—48no—
303C22×#41—28no—
304C22×#41—48no—
305C22×#41—48no—
306C22×#41D4116yescomplemented
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2311yescharacteristic
316C22×#41C2312yes—
317C22×#41C2314yes—
318C22×#41C2312yes—
319C22×#41C2311yescharacteristic
320C22×#41C2312yes—
321C22×#41C2311yescharacteristic
322C23×Q8C2311yescharacteristic
323C23×Q8C2312yes—
324C23×Q8C2311yescharacteristic
325C23×Q8C2312yes—
326C23×Q8C2311yescharacteristic
327C23×D4C2311yescharacteristic
328C23×D4C2311yescharacteristic
329C23×D4C2312yes—
330C23×D4C2311yescharacteristic
331C23×D4C2312yes—
332C23×D4C2312yes—
333C24×C4C2311yescharacteristic
334C24×C4C2312yes—
335C24×C4C2312yes—
336C24×C4C2311yescharacteristic
337#550—28no—
338D4×Q8—28no—
339D4×Q8—216no—
340#548—28no—
341#548—216no—
342#548—28no—
343#547—28no—
344#547—216no—
345#547—216no—
346#547—232no—
347#547—48no—
348#546—28no—
349#546—216no—
350#546—28no—
351#546—216no—
352#546—216no—
353#546—232no—
354#546—48no—
355D42—28no—
356D42—216no—
357#537—216no—
358#537—28no—
359#536—216no—
360#536—28no—
361#532—216no—
362#532—28no—
363C2×C4⋊Q8C2311yescharacteristic
364C2×C4⋊Q8C2312yes—
365C2×C4⋊Q8C2312yes—
366C2×C4⋊Q8C2314yes—
367C2×C4⋊Q8C2312yes—
368C2×#127C2312yes—
369C2×#127C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2312yes—
377#525—216no—
378#525—28no—
379#525—28no—
380#525—216no—
381#525—28no—
382#525—216no—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×C22⋊Q8—216no—
401C2×C22⋊Q8—28no—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×#120C2312yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458C2×#120C2312yes—
459C2×#120C2312yes—
460C2×#120C2312yes—
461C2×#120C2314yes—
462C2×#120C2312yes—
463#520—28no—
464#518—48no—
465C4×#41—28no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×D4—216no—
470C2×C4×D4—28no—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2314yes—
519C22×C4⋊C4C2314yes—
520C22×C4⋊C4C2314yes—
521C22×C22⋊C4C2311yescharacteristic
522C22×C22⋊C4C2311yescharacteristic
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2314yes—
528C22×C22⋊C4C2314yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2314yes—
531C22×C42C2312yes—
532C22×C42C2311yescharacteristic
533#400C2311yescharacteristic
534#400C2314yes—
535#400C2314yes—
536#400C2312yes—
537#400C2314yes—
538#400C2314yes—
539#400C2314yes—
540#400C2311yescharacteristic
541#399C2311yescharacteristic
542#399C2314yes—
543#399C2314yes—
544#399C2312yes—
545#399C2314yes—
546#399C2311yescharacteristic
547#398C2312yes—
548#398C2312yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2312yes—
555#398C2311yescharacteristic
556#398C2311yescharacteristic
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2314yes—
562#398C2314yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2311yescharacteristic
575#397C2311yescharacteristic
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2314yes—
580#397C2314yes—
581#397C2312yes—
582#397C2312yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2314yes—
589#397C2312yes—
590#397C2314yes—
591#397C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#395C2314yes—
599#395C2314yes—
600#395C2312yes—
601#395C2312yes—
602#395C2314yes—
603#395C2314yes—
604#395C2314yes—
605#395C2312yes—
606#395C2312yes—
607#395C2311yescharacteristic
608#395C2312yes—
609#395C2311yescharacteristic
610#395C2314yes—
611#395C2314yes—
612#394C2312yes—
613#394C2311yescharacteristic
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2312yes—
628#394C2314yes—
629#394C2314yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2314yes—
635#394C2312yes—
636#394C2312yes—
637#394C2311yescharacteristic
638#394C2312yes—
639#394C2312yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#393C2312yes—
649#393C2314yes—
650#393C2314yes—
651#393C2312yes—
652#393C2314yes—
653#393C2312yes—
654#393C2312yes—
655#393C2311yescharacteristic
656#393C2312yes—
657#393C2311yescharacteristic
658#393C2314yes—
659#393C2314yes—
660#392C2312yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2311yescharacteristic
670#392C2311yescharacteristic
671#392C2314yes—
672#392C2314yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2314yes—
678#391C2314yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2312yes—
787#385C2312yes—
788#385C2312yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#384C2312yes—
794#382C2312yes—
795#381C2312yes—
796#381C2314yes—
797#381C2314yes—
798#381C2312yes—
799#381C2314yes—
800#381C2312yes—
801#381C2312yes—
802#381C2314yes—
803#381C2314yes—
804#381C2314yes—
805#381C2312yes—
806#381C2312yes—
807#381C2314yes—
808#381C2314yes—
809#381C2312yes—
810#381C2311yescharacteristic
811#381C2312yes—
812#381C2311yescharacteristic
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2311yescharacteristic
824#380C2311yescharacteristic
825#380C2311yescharacteristic
826#380C2311yescharacteristic
827#380C2312yes—
828#380C2312yes—
829#380C2314yes—
830#380C2314yes—
831#379C2314yes—
832#379C2312yes—
833#379C2312yes—
834#379C2314yes—
835#379C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2314yes—
854C2×#95C2314yes—
855C2×#95C2314yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2411yescharacteristic
859C25C2412yes—
860C25C2411yescharacteristic
8612−1+4—464no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—216no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—28no—
873C2×#41—24no—
874C2×#41—28no—
875C2×#41—24no—
876C2×#41—44no—
877C2×#41—48no—
878C2×#41—48no—
879C2×#41—48no—
880C2×#41—48no—
881C2×#41—48no—
882C2×#41—48no—
883C2×#41—48no—
884C2×#41—44no—
885C2×#41—44no—
886C2×#41—44no—
887C2×#41—44no—
888C2×#41—464no—
889C2×#41—464no—
890C2×#41C2×D418yes—
891C2×#41C2×D418yes—
892C2×#41C2×D4116yes—
893C2×#41C2×D418yes—
894C2×#41C2×D4116yes—
895C2×#41C2×D418yes—
896C22×Q8—24no—
897C22×Q8—28no—
898C22×Q8—28no—
899C22×Q8—24no—
900C22×Q8—48no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8—44no—
904C22×Q8—44no—
905C22×Q8—44no—
906C22×Q8C2×D418yes—
907C22×Q8C2412yes—
908C22×Q8C2411yescharacteristic
909C22×Q8C2411yescharacteristic
910C22×Q8C2411yescharacteristic
911C22×Q8C2412yes—
912C22×Q8C2411yescharacteristic
913C22×Q8C2414yes—
914C22×Q8C2412yes—
915C22×Q8C2412yes—
916C22×D4—28no—
917C22×D4—28no—
918C22×D4—24no—
919C22×D4—28no—
920C22×D4—24no—
921C22×D4—28no—
922C22×D4—44no—
923C22×D4—42no—
924C22×D4—44no—
925C22×D4—42no—
926C22×D4—48no—
927C22×D4—48no—
928C22×D4C2×D418yes—
929C22×D4C2×D4116yes—
930C22×D4C2411yescharacteristic
931C22×D4C2414yes—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2411yescharacteristic
935C22×D4C2412yes—
936C22×D4C2411yescharacteristic
937C22×D4C2412yes—
938C22×D4C2411yescharacteristic
939C22×D4C2412yes—
940C22×D4C2411yescharacteristic
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2412yes—
945C22×D4C2411yescharacteristic
946C22×D4C2412yes—
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2412yes—
950C22×D4C2412yes—
951C22×D4C2414yes—
952C22×D4C2412yes—
953C22×D4C2412yes—
954C22×D4C2411yescharacteristic
955C22×D4C2412yes—
956C22×D4C2412yes—
957C22×D4C2414yes—
958C22×D4C2412yes—
959C22×D4C2412yes—
960C22×D4C2411yescharacteristic
961C23×C4—28no—
962C23×C4—24no—
963C23×C4—44no—
964C23×C4—44no—
965C23×C4—48no—
966C23×C4—48no—
967C23×C4C2×D418yes—
968C23×C4C2×D4116yes—
969C23×C4C2414yes—
970C23×C4C2412yes—
971C23×C4C2412yes—
972C23×C4C2411yescharacteristic
973C23×C4C2411yescharacteristic
974C23×C4C2412yes—
975C23×C4C2411yescharacteristic
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2411yescharacteristic
979C23×C4C2411yescharacteristic
980C23×C4C2411yescharacteristic
981C23×C4C2414yes—
982C23×C4C2414yes—
983C23×C4C2414yes—
984C23×C4C2412yes—
985C23×C4C2411yescharacteristic
986C23×C4C2412yes—
987C23×C4C2411yescharacteristic
988C23×C4C2412yes—
989C23×C4C2411yescharacteristic
990C23×C4C2411yescharacteristic
991C23×C4C2412yes—
992C23×C4C2412yes—
993C23×C4C2412yes—
994C23×C4C2414yes—
995C23×C4C2414yes—
996C23×C4C2414yes—
997C23×C4C2411yescharacteristic
998C23×C4C2411yescharacteristic
999C23×C4C2412yes—
1000C23×C4C2411yescharacteristic
1001C23×C4C2412yes—
1002C23×C4C2412yes—
1003C4⋊Q8—24no—
1004C4⋊Q8—28no—
1005C4⋊Q8—28no—
1006C4⋊Q8—216no—
1007C4⋊Q8—44no—
1008#127—24no—
1009#127—28no—
1010#124—24no—
1011#124—28no—
1012#124—24no—
1013#124—28no—
1014#124—28no—
1015#124—216no—
1016#124—44no—
1017#123—28no—
1018#123—28no—
1019#123—28no—
1020#123—216no—
1021#123—216no—
1022#123—216no—
1023#123—28no—
1024#123—28no—
1025#123—28no—
1026#123—216no—
1027#123—28no—
1028#123—44no—
1029#123—44no—
1030#123—48no—
1031#123—48no—
1032#123—48no—
1033#123—44no—
1034C22⋊Q8—24no—
1035C22⋊Q8—28no—
1036C22⋊Q8—24no—
1037C22⋊Q8—28no—
1038C22⋊Q8—28no—
1039C22⋊Q8—216no—
1040C22⋊Q8—24no—
1041C22⋊Q8—28no—
1042C22⋊Q8—28no—
1043C22⋊Q8—28no—
1044C22⋊Q8—28no—
1045C22⋊Q8—28no—
1046C22⋊Q8—216no—
1047C22⋊Q8—28no—
1048C22⋊Q8—216no—
1049C22⋊Q8—24no—
1050C22⋊Q8—28no—
1051C22⋊Q8—24no—
1052C22⋊Q8—28no—
1053C22⋊Q8—24no—
1054C22⋊Q8—28no—
1055C22⋊Q8—44no—
1056C22⋊Q8—44no—
1057C22⋊Q8—44no—
1058#121—24no—
1059#121—28no—
1060#121—24no—
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—24no—
1075#121—28no—
1076#121—24no—
1077#121—28no—
1078#121—24no—
1079#121—28no—
1080#121—48no—
1081#121—48no—
1082#121—44no—
1083#121—48no—
1084#121—48no—
1085#120—28no—
1086#120—28no—
1087#120—28no—
1088#120—216no—
1089#120—28no—
1090#120—28no—
1091#120—28no—
1092#120—28no—
1093#120—44no—
1094#120—48no—
1095C4×Q8—24no—
1096C4×Q8—24no—
1097C4×Q8—28no—
1098C4×D4—28no—
1099C4×D4—24no—
1100C4×D4—28no—
1101C4×D4—24no—
1102C4×D4—216no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—24no—
1107C4×D4—28no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—28no—
1111C4×D4—24no—
1112C4×D4—28no—
1113C4×D4—24no—
1114C4×D4—28no—
1115C4×D4—24no—
1116C4×D4—28no—
1117C4×D4—24no—
1118C4×D4—28no—
1119C4×D4—24no—
1120C4×D4—28no—
1121C4×D4—28no—
1122C4×D4—28no—
1123C4×D4—28no—
1124C4×D4—28no—
1125C4×D4—216no—
1126C4×D4—28no—
1127C4×D4—216no—
1128C4×D4—44no—
1129C4×D4—44no—
1130C4×D4—44no—
1131C4×D4—44no—
1132C4×D4—48no—
1133C4×D4—48no—
1134#117—28no—
1135#117—24no—
1136#117—28no—
1137#117—24no—
1138#117—44no—
1139#117—44no—
1140C2×C4⋊C4—28no—
1141C2×C4⋊C4—24no—
1142C2×C4⋊C4—28no—
1143C2×C4⋊C4—24no—
1144C2×C4⋊C4—216no—
1145C2×C4⋊C4—28no—
1146C2×C4⋊C4—48no—
1147C2×C4⋊C4—48no—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2414yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2414yes—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—24no—
1197C2×C22⋊C4—216no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4—24no—
1201C2×C22⋊C4—48no—
1202C2×C22⋊C4—48no—
1203C2×C22⋊C4—48no—
1204C2×C22⋊C4—48no—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C42—28no—
1281C2×C42—24no—
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2414yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2412yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2412yes—
1293C2×C42C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2411yescharacteristic
1298#95C2412yes—
1299#95C2411yescharacteristic
1300#95C2411yescharacteristic
1301#95C2411yescharacteristic
1302#95C2412yes—
1303#95C2412yes—
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#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345C24—28no—
1346C24—24no—
1347C24—22no—
1348C24—24no—
1349C24—28no—
1350C24—22no—
1351C24—42no—
1352C24—42no—
1353C24—42no—
1354C24—42no—
1355C24—42no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—44no—
1360C24—44no—
1361C24—42no—
1362C24—42no—
1363C24C22×D418yes—
1364C24C22×D414yes—
1365C24C2511yescharacteristic
1366C24C2512yes—
1367C24C2512yes—
1368C24C2511yescharacteristic
1369C24C2511yescharacteristic
1370C24C2512yes—
1371C24C2511yescharacteristic
1372C24C2511yescharacteristic
1373C24C2512yes—
1374#41—232no—
1375#41—232no—
1376#41—432no—
1377#41—432no—
1378#41—416no—
1379#41—416no—
1380#41—432no—
1381#41—416no—
1382#41—432no—
1383#41—416no—
1384#41—432no—
1385#41—464no—
1386#41—416no—
1387#41—416no—
1388#41—432no—
1389C2×Q8—24no—
1390C2×Q8—22no—
1391C2×Q8—28no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—22no—
1395C2×Q8—24no—
1396C2×Q8—24no—
1397C2×Q8—24no—
1398C2×Q8—24no—
1399C2×Q8—24no—
1400C2×Q8—42no—
1401C2×Q8—44no—
1402C2×Q8—44no—
1403C2×Q8—44no—
1404C2×Q8—44no—
1405C2×Q8—44no—
1406C2×Q8—416no—
1407C2×Q8—432no—
1408C2×Q8—416no—
1409C2×Q8—416no—
1410C2×Q8—432no—
1411C2×Q8C22×D414yes—
1412C2×Q8C22×D414yes—
1413C2×Q8C22×D418yes—
1414C2×D4—22no—
1415C2×D4—28no—
1416C2×D4—28no—
1417C2×D4—28no—
1418C2×D4—22no—
1419C2×D4—232no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—28no—
1432C2×D4—28no—
1433C2×D4—28no—
1434C2×D4—28no—
1435C2×D4—28no—
1436C2×D4—24no—
1437C2×D4—22no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—28no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—22no—
1445C2×D4—24no—
1446C2×D4—22no—
1447C2×D4—24no—
1448C2×D4—24no—
1449C2×D4—22no—
1450C2×D4—24no—
1451C2×D4—22no—
1452C2×D4—41no—
1453C2×D4—42no—
1454C2×D4—41no—
1455C2×D4—41no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—41no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—42no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—42no—
1470C2×D4—42no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—42no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—44no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—44no—
1482C2×D4—44no—
1483C2×D4—44no—
1484C2×D4—432no—
1485C2×D4—432no—
1486C2×D4—416no—
1487C2×D4—432no—
1488C2×D4—416no—
1489C2×D4C22×D418yes—
1490C2×D4C22×D418yes—
1491C2×D4C22×D418yes—
1492C2×D4C22×D414yes—
1493C2×D4C22×D418yes—
1494C2×D4C22×D418yes—
1495C2×D4C22×D414yes—
1496C2×D4H(5,𝔽2)18yes—
1497C22×C4—28no—
1498C22×C4—28no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—22no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—28no—
1508C22×C4—28no—
1509C22×C4—28no—
1510C22×C4—28no—
1511C22×C4—22no—
1512C22×C4—24no—
1513C22×C4—24no—
1514C22×C4—28no—
1515C22×C4—28no—
1516C22×C4—28no—
1517C22×C4—22no—
1518C22×C4—22no—
1519C22×C4—24no—
1520C22×C4—24no—
1521C22×C4—22no—
1522C22×C4—24no—
1523C22×C4—22no—
1524C22×C4—28no—
1525C22×C4—24no—
1526C22×C4—24no—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—22no—
1532C22×C4—416no—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—432no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—44no—
1541C22×C4—42no—
1542C22×C4—44no—
1543C22×C4—44no—
1544C22×C4—44no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—41no—
1548C22×C4—44no—
1549C22×C4—44no—
1550C22×C4—44no—
1551C22×C4—44no—
1552C22×C4—44no—
1553C22×C4—44no—
1554C22×C4—44no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—44no—
1558C22×C4—44no—
1559C22×C4—44no—
1560C22×C4—42no—
1561C22×C4—44no—
1562C22×C4—44no—
1563C22×C4—44no—
1564C22×C4—44no—
1565C22×C4—44no—
1566C22×C4—44no—
1567C22×C4—432no—
1568C22×C4—416no—
1569C22×C4C22×D418yes—
1570C22×C4C22×D414yes—
1571C22×C4C22×D418yes—
1572C22×C4C22×D414yes—
1573C22×C4C22×D414yes—
1574C22×C4C22×D414yes—
1575C22×C4C22×D414yes—
1576C22×C4C22×D418yes—
1577C22×C4C22×D414yes—
1578C22×C4C22×D418yes—
1579C22×C4C22×D418yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2514yes—
1583C22×C4C2511yescharacteristic
1584C22×C4C2512yes—
1585C22×C4C2511yescharacteristic
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2514yes—
1589C22×C4C2512yes—
1590C22×C4C2511yescharacteristic
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2514yes—
1594C22×C4C2512yes—
1595C22×C4C2514yes—
1596C22×C4C2511yescharacteristic
1597C22×C4C2511yescharacteristic
1598C22×C4C2512yes—
1599C22×C4C2511yescharacteristic
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2511yescharacteristic
1604C22×C4C2511yescharacteristic
1605C22×C4C2511yescharacteristic
1606C4⋊C4—22no—
1607C4⋊C4—22no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—28no—
1611C4⋊C4—24no—
1612C4⋊C4—22no—
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—22no—
1617C4⋊C4—28no—
1618C4⋊C4—24no—
1619C4⋊C4—28no—
1620C4⋊C4—28no—
1621C4⋊C4—28no—
1622C4⋊C4—22no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—22no—
1626C4⋊C4—22no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—28no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—28no—
1636C4⋊C4—42no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—44no—
1640C4⋊C4—44no—
1641C4⋊C4—44no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—44no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—44no—
1649C4⋊C4—44no—
1650C4⋊C4—44no—
1651C4⋊C4—42no—
1652C4⋊C4—44no—
1653C22⋊C4—22no—
1654C22⋊C4—24no—
1655C22⋊C4—28no—
1656C22⋊C4—24no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—22no—
1660C22⋊C4—24no—
1661C22⋊C4—22no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—28no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—28no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—28no—
1674C22⋊C4—24no—
1675C22⋊C4—28no—
1676C22⋊C4—28no—
1677C22⋊C4—24no—
1678C22⋊C4—28no—
1679C22⋊C4—22no—
1680C22⋊C4—24no—
1681C22⋊C4—22no—
1682C22⋊C4—24no—
1683C22⋊C4—22no—
1684C22⋊C4—24no—
1685C22⋊C4—22no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—28no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—42no—
1694C22⋊C4—42no—
1695C22⋊C4—44no—
1696C22⋊C4—42no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—42no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—42no—
1708C22⋊C4—42no—
1709C22⋊C4—42no—
1710C22⋊C4—42no—
1711C22⋊C4—42no—
1712C22⋊C4—44no—
1713C22⋊C4—42no—
1714C22⋊C4—42no—
1715C22⋊C4—42no—
1716C22⋊C4—42no—
1717C22⋊C4—42no—
1718C22⋊C4—44no—
1719C22⋊C4—44no—
1720C22⋊C4—44no—
1721C22⋊C4—44no—
1722C22⋊C4—44no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—44no—
1728C42—22no—
1729C42—24no—
1730C42—22no—
1731C42—24no—
1732C42—22no—
1733C42—24no—
1734C42—22no—
1735C42—28no—
1736C42—24no—
1737C42—24no—
1738C42—24no—
1739C42—44no—
1740C23—22no—
1741C23—22no—
1742C23—24no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—24no—
1747C23—22no—
1748C23—22no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—22no—
1754C23—22no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—24no—
1762C23—22no—
1763C23—216no—
1764C23—22no—
1765C23—21no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—24no—
1770C23—22no—
1771C23—22no—
1772C23—21no—
1773C23—22no—
1774C23—22no—
1775C23—22no—
1776C23—21no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—24no—
1781C23—44no—
1782C23—48no—
1783C23—44no—
1784C23—48no—
1785C23—44no—
1786C23—48no—
1787C23—44no—
1788C23—416no—
1789C23—44no—
1790C23—48no—
1791C23—84no—
1792C23—88no—
1793C23—88no—
1794C23—88no—
1795C23—82no—
1796C23—84no—
1797C23—84no—
1798C23—84no—
1799C23—84no—
1800C23C23×D412yes—
1801C23C23×D414yes—
1802C23C23×D412yes—
1803C23C23×D412yes—
1804C23C23×D414yes—
1805C23C2×H(5,𝔽2)18yes—
1806C23#58512yes—
1807C23C2611yescharacteristic
1808Q8—28no—
1809Q8—28no—
1810Q8—48no—
1811Q8—44no—
1812Q8—48no—
1813Q8—416no—
1814Q8—48no—
1815Q8—48no—
1816Q8—44no—
1817D4—28no—
1818D4—216no—
1819D4—216no—
1820D4—216no—
1821D4—28no—
1822D4—48no—
1823D4—48no—
1824D4—44no—
1825D4—48no—
1826D4—48no—
1827D4—44no—
1828D4—44no—
1829D4—48no—
1830D4—48no—
1831D4—44no—
1832D4—48no—
1833D4—48no—
1834D4—48no—
1835D4—48no—
1836D4—48no—
1837D4—416no—
1838D4—44no—
1839D4—84no—
1840D4—88no—
1841D4—84no—
1842D4—84no—
1843D4—84no—
1844D4—84no—
1845D4—84no—
1846D4—164no—
1847D4#534116yes—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—21no—
1855C2×C4—216no—
1856C2×C4—216no—
1857C2×C4—28no—
1858C2×C4—28no—
1859C2×C4—28no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—24no—
1878C2×C4—24no—
1879C2×C4—22no—
1880C2×C4—24no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—24no—
1885C2×C4—24no—
1886C2×C4—24no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—24no—
1891C2×C4—22no—
1892C2×C4—24no—
1893C2×C4—24no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—24no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—24no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—24no—
1911C2×C4—44no—
1912C2×C4—48no—
1913C2×C4—48no—
1914C2×C4—44no—
1915C2×C4—48no—
1916C2×C4—44no—
1917C2×C4—48no—
1918C2×C4—44no—
1919C2×C4—44no—
1920C2×C4—48no—
1921C2×C4—44no—
1922C2×C4—48no—
1923C2×C4—48no—
1924C2×C4—416no—
1925C2×C4—44no—
1926C2×C4—48no—
1927C2×C4—48no—
1928C2×C4—416no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—48no—
1932C2×C4—88no—
1933C2×C4—84no—
1934C2×C4—84no—
1935C2×C4—82no—
1936C2×C4—88no—
1937C2×C4—88no—
1938C2×C4—164no—
1939C2×C4—164no—
1940C2×C4C23×D412yes—
1941C2×C4C23×D414yes—
1942C2×C4C23×D414yes—
1943C2×C4C23×D412yes—
1944C2×C4C23×D412yes—
1945C2×C4C23×D412yes—
1946C2×C4C2×H(5,𝔽2)14yes—
1947C2×C4#58512yes—
1948C22—24no—
1949C22—24no—
1950C22—28no—
1951C22—28no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—24no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—24no—
1961C22—24no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—24no—
1966C22—41no—
1967C22—44no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—44no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—41no—
1977C22—41no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—41no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—44no—
1987C22—42no—
1988C22—44no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—41no—
1994C22—816no—
1995C22—816no—
1996C22—88no—
1997C22—88no—
1998C22C2×#53418yes—
1999C22C24×D411yescharacteristic
2000C22C22×H(5,𝔽2)12yes—
2001C22C2×#58511yescharacteristic
2002C22C2×#58511yescharacteristic
2003C222−1+612yes—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—24no—
2008C4—24no—
2009C4—22no—
2010C4—41no—
2011C4—42no—
2012C4—42no—
2013C4—44no—
2014C4—41no—
2015C4—42no—
2016C4—41no—
2017C4—42no—
2018C4—42no—
2019C4—44no—
2020C4—42no—
2021C4—42no—
2022C4—44no—
2023C4—42no—
2024C4—41no—
2025C4—41no—
2026C4—42no—
2027C4—42no—
2028C4—44no—
2029C4C2×#53414yes—
2030C2—28no—
2031C2—42no—
2032C2—44no—
2033C2—42no—
2034C2—42no—
2035C2—42no—
2036C2—82no—
2037C2—81no—
2038C2—82no—
2039C2C22×#53411yescharacteristic
2040C2#6281111yescharacteristic
2041C2#6285911yescharacteristic
2042C2#6289812yes—
2043C2#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×D4×#41C2semidirect
3. #42985C2semidirect
4. #42984C2semidirect
5. #42913C2semidirect
6. #42912C2semidirect
7. #42807C2semidirect
8. #42806C2semidirect
9. #42295C2semidirect
10. #42294C2semidirect
11. #41937C2semidirect
12. #41936C2semidirect
13. #41404C2semidirect
14. #40585C2semidirect
15. #39864C2semidirect
16. #39860C2semidirect
17. #38369C2semidirect
18. #38365C2semidirect
19. #37454C2semidirect
20. #37449C2semidirect
21. #37447C2semidirect
22. #37445C2semidirect
23. #36217C2semidirect
24. #36213C2semidirect
25. #36085C2semidirect
26. #36078C2semidirect
27. #36009C2semidirect
28. #35998C2semidirect
29. #35976C2semidirect
30. #35761C2semidirect
31. #35084C2semidirect
32. #35063C2semidirect
33. #34562C2semidirect
34. C2×#2638C2semidirect
35. #34172C2semidirect
36. C22×2−1+4C22semidirect
43. C2×D4×Q8C22semidirect
46. C2×#548C22semidirect
50. C2×#547C22semidirect
51. C2×#547C22semidirect
56. C2×#546C22semidirect
57. C2×#546C22semidirect
58. C2×#546C22semidirect
61. C2×#537C22semidirect
62. C2×#537C22semidirect
63. C2×#536C22semidirect
64. C2×#536C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
73. C22×C22⋊Q8C22semidirect
74. C22×C22⋊Q8C22semidirect
75. C2×#520C22semidirect
76. C2×#518C22semidirect
80. #2855C22semidirect
81. #2853C22semidirect
82. #2849C22semidirect
83. #2848C22semidirect
84. #2817C22semidirect
85. #2817C22semidirect
86. #2816C22semidirect
87. #2816C22semidirect
88. #2816C22semidirect
89. #2815C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2812C22semidirect
93. #2734C22semidirect
94. #2732C22semidirect
95. #2731C22semidirect
96. #2730C22semidirect
97. #2729C22semidirect
98. #2729C22semidirect
99. #2729C22semidirect
100. #2728C22semidirect
101. #2717C22semidirect
102. #2717C22semidirect
103. #2709C22semidirect
104. #2708C22semidirect
105. #2708C22semidirect
106. #2708C22semidirect
107. #2688C22semidirect
108. #2688C22semidirect
109. #2686C22semidirect
110. #2686C22semidirect
111. #2686C22semidirect
112. #2684C22semidirect
113. #2673C22semidirect
114. #2671C22semidirect
115. #2671C22semidirect
116. #2668C22semidirect
117. #2663C22semidirect
118. #2661C22semidirect
119. #2659C22semidirect
120. #2659C22semidirect
121. #2639C22semidirect
122. #2639C22semidirect
126. #2638C22semidirect
127. #2638C22semidirect
128. #2638C22semidirect
129. #2638C22semidirect
130. #2638C22semidirect
131. #2638C22semidirect
132. #2638C22semidirect
133. #2638C22semidirect
134. #2638C22semidirect
135. #2638C22semidirect
136. #2638C22semidirect
137. #2638C22semidirect
138. #2638C22semidirect
140. #2635C22semidirect
141. #2635C22semidirect
142. #2635C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2627C22semidirect
146. #2626C22semidirect
147. #2625C22semidirect
148. #2624C22semidirect
149. #2623C22semidirect
150. #2623C22semidirect
151. #2622C22semidirect
152. #2622C22semidirect
153. #2621C22semidirect
154. #2620C22semidirect
155. #2618C22semidirect
156. #2617C22semidirect
157. #2617C22semidirect
158. #2617C22semidirect
159. #2616C22semidirect
160. #2615C22semidirect
161. #2614C22semidirect
162. #2614C22semidirect
164. #2602C22semidirect
166. #2600C22semidirect
167. #2600C22semidirect
168. #2600C22semidirect
169. #2583C22semidirect
170. #2579C22semidirect
171. #2564C22semidirect
172. #2564C22semidirect
173. #2564C22semidirect
174. #2564C22semidirect
175. #2561C22semidirect
176. #2547C22semidirect
177. #2544C22semidirect
178. #2543C22semidirect
179. #2543C22semidirect
180. #2543C22semidirect
181. #2537C22semidirect
182. #2535C22semidirect
183. #2534C22semidirect
184. #2504C22semidirect
185. #2502C22semidirect
186. #2499C22semidirect
187. #2498C22semidirect
188. #2498C22semidirect
189. #2498C22semidirect
190. #2486C22semidirect
191. #2486C22semidirect
192. #2486C22semidirect
193. #2485C22semidirect
194. #2484C22semidirect
195. #2484C22semidirect
196. #2483C22semidirect
197. #2482C22semidirect
198. #2448C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
201. #2446C22semidirect
202. #2444C22semidirect
203. #2444C22semidirect
204. #2443C22semidirect
205. #2443C22semidirect
206. #2436C22semidirect
207. #2436C22semidirect
208. #2434C22semidirect
209. #2434C22semidirect
210. #2434C22semidirect
211. #2432C22semidirect
212. #2432C22semidirect
213. #2430C22semidirect
214. #2430C22semidirect
215. #2430C22semidirect
216. #2430C22semidirect
217. #2430C22semidirect
218. #2430C22semidirect
219. #2428C22semidirect
220. #2427C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
223. #2425C22semidirect
224. #2425C22semidirect
225. #2425C22semidirect
226. #2424C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2421C22semidirect
230. #2421C22semidirect
231. #2419C22semidirect
232. #2419C22semidirect
233. #2419C22semidirect
234. #2418C22semidirect
235. #2416C22semidirect
237. #2415C22semidirect
238. #2415C22semidirect
239. #2414C22semidirect
240. #2412C22semidirect
241. #2412C22semidirect
242. #2412C22semidirect
244. #2410C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2406C22semidirect
253. #2406C22semidirect
254. #2406C22semidirect
255. #2406C22semidirect
257. #2405C22semidirect
258. #2404C22semidirect
259. #2404C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
263. #2392C22semidirect
264. C2×#398C22semidirect
265. C2×#397C22semidirect
266. C2×#397C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
269. C2×#395C22semidirect
271. C2×#393C22semidirect
272. #2349C22semidirect
273. D4×C4⋊C4C22semidirect
275. #2339C22semidirect
276. #2339C22semidirect
277. #2339C22semidirect
278. #2339C22semidirect
279. #2339C22semidirect
280. #2339C22semidirect
281. #2339C22semidirect
282. #2339C22semidirect
283. #2339C22semidirect
284. #2339C22semidirect
285. #2339C22semidirect
286. D4×C22⋊C4C22semidirect
287. #2325C22semidirect
288. #2325C22semidirect
289. #2322C22semidirect
290. #2322C22semidirect
291. #2310C22semidirect
292. #2308C22semidirect
293. C4×#123C22semidirect
294. C4×#120C22semidirect
295. C2×#387C22semidirect
296. C2×#385C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C2×#381C22semidirect
300. C2×#381C22semidirect
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×D4×#412
#429852
#429842
#429132
#429122
#428072
#428062
#422952
#422942
#419372
#419362
#414042
#405852
#398642
#398602
#383692
#383652
#374542
#374492
#374472
#374452
#362172
#362132
#360852
#360782
#360092
#359982
#359762
#357612
#350842
#350632
#345622
C2×#26382
#341722