Finite Group Databasebeta

← #7658398

Subgroups — #7658398

Order 512.

7594 conjugacy classes of subgroups.

The subgroup lattice has 2000 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#42674C212yesmaximal, complemented
4#42650C211yesmaximal, characteristic, complemented
5#42646C211yesmaximal, characteristic, complemented
6#42476C212yesmaximal, complemented
7#42445C212yesmaximal, complemented
8#42444C212yesmaximal, complemented
9#42429C211yesmaximal, characteristic, complemented
10#42425C211yesmaximal, characteristic, complemented
11#41372C212yesmaximal, complemented
12#41368C212yesmaximal, complemented
13#40587C214yesmaximal, complemented
14#40586C214yesmaximal, complemented
15#40515C214yesmaximal, complemented
16#40514C214yesmaximal, complemented
17#40492C212yesmaximal, complemented
18#40488C212yesmaximal, complemented
19#37621C211yesmaximal, characteristic, complemented
20#37616C211yesmaximal, characteristic, complemented
21#37553C211yesmaximal, characteristic, complemented
22#37452C212yesmaximal, complemented
23#37444C212yesmaximal, complemented
24#37439C212yesmaximal, complemented
25#36684C211yesmaximal, characteristic, complemented
26C2×#2813C212yesmaximal, complemented
27#36031C211yesmaximal, characteristic, complemented
28#35836C211yesmaximal, characteristic, complemented
29#35776C212yesmaximal, complemented
30#35761C212yesmaximal, complemented
31#35761C212yesmaximal, complemented
32#35728C211yesmaximal, characteristic, complemented
33#35691C212yesmaximal, complemented
34#35691C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#553C2212yescomplemented
43C2×#553C2211yescharacteristic, complemented
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#552C2211yescharacteristic, complemented
47C2×#551C2212yescomplemented
48C2×#551C2212yescomplemented
49C2×#550C2211yescharacteristic, complemented
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2211yescharacteristic
52C2×#546C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×#546C2214yescomplemented
57C2×D42C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×D42C2212yes—
60C2×D42C2212yes—
61C2×#542C2211yescharacteristic, complemented
62C2×#540C2211yescharacteristic, complemented
63C2×#540C2212yescomplemented
64C2×#539C2212yescomplemented
65C2×#538C2212yescomplemented
66C2×#538C2214yescomplemented
67C2×#532C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic, complemented
71C2×#525C2212yescomplemented
72C2×#525C2212yescomplemented
73C22×#123C2212yescomplemented
74C22×#121C2212yescomplemented
75C2×#520C2211yescharacteristic
76C2×#518C2211yescharacteristic
77C2×#518C2212yes—
78C2×#518C2212yes—
79C22×C4×D4C2211yescharacteristic
80#2823C2212yescomplemented
81#2823C2212yescomplemented
82#2822C2211yescharacteristic, complemented
83#2820C2211yescharacteristic, complemented
84#2820C2211yescharacteristic, complemented
85#2819C2211yescharacteristic, complemented
86#2814C2211yescharacteristic, complemented
87#2814C2212yescomplemented
88#2814C2211yescharacteristic, complemented
89#2814C2212yescomplemented
90#2813C2211yescharacteristic
91#2813C2212yescomplemented
92#2813C2212yescomplemented
93#2813C2212yescomplemented
94#2813C2214yescomplemented
95#2813C2214yescomplemented
96#2813C2212yescomplemented
97#2813C2212yescomplemented
98#2813C2214yescomplemented
99#2813C2214yescomplemented
100#2813C2212yescomplemented
101#2813C2212yescomplemented
102#2813C2211yescharacteristic, complemented
103#2813C2212yescomplemented
104#2813C2212yescomplemented
105#2813C2212yescomplemented
106#2727C2214yescomplemented
107#2725C2214yescomplemented
108#2715C2214yescomplemented
109#2712C2214yescomplemented
110#2707C2214yescomplemented
111#2705C2214yescomplemented
112#2705C2214yescomplemented
113#2702C2214yescomplemented
114#2695C2214yescomplemented
115#2693C2214yescomplemented
116#2691C2214yescomplemented
117#2691C2214yescomplemented
118#2682C2214yescomplemented
119#2681C2214yescomplemented
120#2676C2214yescomplemented
121#2676C2214yescomplemented
122#2676C2214yescomplemented
123#2675C2214yescomplemented
124#2675C2214yescomplemented
125#2672C2214yescomplemented
126#2672C2214yescomplemented
127#2671C2214yescomplemented
128#2671C2214yescomplemented
129#2671C2214yescomplemented
130#2664C2212yescomplemented
131#2662C2212yescomplemented
132#2662C2212yescomplemented
133#2662C2212yescomplemented
134#2656C2212yescomplemented
135#2656C2212yescomplemented
136#2639C2212yescomplemented
137#2639C2212yescomplemented
138#2636C2212yescomplemented
139#2636C2212yescomplemented
140#2630C2214yescomplemented
141#2630C2214yescomplemented
142#2630C2214yescomplemented
143#2630C2214yescomplemented
144#2630C2214yescomplemented
145#2629C2212yescomplemented
146#2628C2211yescharacteristic, complemented
147#2628C2211yescharacteristic, complemented
148#2627C2212yescomplemented
149#2626C2212yescomplemented
150#2626C2214yescomplemented
151#2625C2212yescomplemented
152#2624C2214yescomplemented
153#2624C2212yescomplemented
154#2620C2214yescomplemented
155#2620C2212yescomplemented
156#2620C2212yescomplemented
157#2619C2211yescharacteristic, complemented
158#2619C2212yescomplemented
159#2619C2211yescharacteristic, complemented
160#2618C2214yescomplemented
161#2618C2214yescomplemented
162#2618C2212yescomplemented
163#2617C2214yescomplemented
164#2617C2214yescomplemented
165#2617C2214yescomplemented
166#2617C2212yescomplemented
167#2616C2212yescomplemented
168#2616C2212yescomplemented
169#2615C2212yescomplemented
170#2615C2214yescomplemented
171#2615C2212yescomplemented
172#2601C2214yescomplemented
173#2581C2211yescharacteristic, complemented
174#2580C2211yescharacteristic, complemented
175#2579C2214yescomplemented
176#2568C2211yescharacteristic, complemented
177#2566C2212yescomplemented
178#2564C2212yescomplemented
179#2564C2212yescomplemented
180#2562C2212yescomplemented
181#2548C2211yescharacteristic, complemented
182#2544C2212yescomplemented
183#2544C2212yescomplemented
184#2543C2214yescomplemented
185#2543C2212yescomplemented
186#2543C2212yescomplemented
187#2542C2211yescharacteristic, complemented
188#2541C2212yescomplemented
189#2541C2211yescharacteristic, complemented
190#2540C2212yescomplemented
191#2538C2212yescomplemented
192#2537C2212yescomplemented
193#2537C2212yescomplemented
194#2536C2211yescharacteristic, complemented
195#2535C2211yescharacteristic, complemented
196#2535C2212yescomplemented
197#2534C2214yescomplemented
198#2534C2214yescomplemented
199#2498C2212yescomplemented
200#2498C2212yescomplemented
201#2487C2212yescomplemented
202#2487C2212yescomplemented
203#2485C2214yescomplemented
204#2454C2212yescomplemented
205#2454C2212yescomplemented
206#2453C2212yescomplemented
207#2452C2212yescomplemented
208#2450C2214yescomplemented
209#2450C2214yescomplemented
210#2449C2214yescomplemented
211#2449C2214yescomplemented
212#2442C2212yescomplemented
213#2441C2212yescomplemented
214#2441C2212yescomplemented
215#2439C2212yescomplemented
216#2438C2214yescomplemented
217#2437C2214yescomplemented
218#2437C2214yescomplemented
219#2437C2214yescomplemented
220#2430C2212yescomplemented
221#2430C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2426C2212yescomplemented
230#2425C2214yescomplemented
231#2425C2214yescomplemented
232#2424C2214yescomplemented
233#2424C2214yescomplemented
234#2424C2214yescomplemented
235#2424C2214yescomplemented
236#2424C2214yescomplemented
237#2424C2214yescomplemented
238#2417C2214yescomplemented
239#2416C2214yescomplemented
240#2416C2214yescomplemented
241#2416C2214yescomplemented
242#2416C2214yescomplemented
243#2416C2212yescomplemented
244#2415C2212yescomplemented
245#2415C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2412C2214yescomplemented
252#2412C2214yescomplemented
253#2411C2214yescomplemented
254#2410C2214yescomplemented
255#2410C2214yescomplemented
256#2410C2214yescomplemented
257#2410C2214yescomplemented
258#2410C2214yescomplemented
259#2408C2212yescomplemented
260#2408C2214yescomplemented
261#2408C2212yescomplemented
262#2407C2214yescomplemented
263#2407C2214yescomplemented
264#2396C2211yescharacteristic, complemented
265#2396C2211yescharacteristic, complemented
266#2396C2212yescomplemented
267C2×#400C2212yescomplemented
268C2×#399C2212yescomplemented
269#2392C2211yescharacteristic, complemented
270#2392C2212yescomplemented
271#2392C2211yescharacteristic, complemented
272#2392C2212yescomplemented
273#2392C2212yescomplemented
274C2×#396C2214yescomplemented
275C2×#394C2212yescomplemented
276C2×#394C2214yescomplemented
277C2×#394C2214yescomplemented
278C2×#392C2212yescomplemented
279C2×#392C2214yescomplemented
280#2349C2211yescharacteristic
281#2349C2212yes—
282#2349C2211yescharacteristic
283#2349C2212yescomplemented
284#2349C2212yescomplemented
285#2349C2211yescharacteristic, complemented
286#2349C2211yescharacteristic, complemented
287D4×C4⋊C4C2212yes—
288D4×C4⋊C4C2212yes—
289D4×C4⋊C4C2214yescomplemented
290D4×C4⋊C4C2212yescomplemented
291#2339C2212yes—
292D4×C22⋊C4C2212yes—
293D4×C22⋊C4C2212yes—
294D4×C22⋊C4C2212yes—
295#2316C2212yescomplemented
296#2315C2214yescomplemented
297#2285C2211yescharacteristic, complemented
298#2285C2211yescharacteristic, complemented
299C2×#380C2212yescomplemented
300C2×#380C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2312yes—
310C23×D4C2314yes—
311C23×D4C2314yes—
312C24×C4C2312yes—
313#559—28no—
314#555—28no—
315#554—28no—
316#554—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#553—216no—
321#552—28no—
322#551—216no—
323#551—216no—
324#550—28no—
325#547—28no—
326#546—28no—
327#546—28no—
328#546—216no—
329#546—216no—
330#546—232no—
331#546—48no—
332D42—28no—
333D42—216no—
334D42—28no—
335D42—48no—
336#542—28no—
337#540—28no—
338#540—216no—
339#539—216no—
340#538—216no—
341#538—232no—
342#532—28no—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349#529—28no—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2311yescharacteristic
354C2×#126C2311yescharacteristic
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375#525—216no—
376#525—216no—
377C2×#123—216no—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2311yescharacteristic
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2311yescharacteristic
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×#121—216no—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2314yes—
456C2×#120C2312yes—
457C2×#120C2314yes—
458C2×#120C2312yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C2×#120C2314yes—
463#520—28no—
464#518—28no—
465#518—216no—
466#518—48no—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×D4D4116yescomplemented
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2312yes—
508C2×C4×D4C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C22×C4⋊C4C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2314yes—
525C22×C4⋊C4C2314yes—
526C22×C4⋊C4C2314yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C22⋊C4C2314yes—
536C22×C22⋊C4C2314yes—
537C22×C22⋊C4C2314yes—
538C22×C22⋊C4C2314yes—
539C22×C22⋊C4C2314yes—
540C22×C22⋊C4C2312yes—
541C22×C42C2311yescharacteristic
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2311yescharacteristic
546#400C2311yescharacteristic
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2314yes—
551#400C2314yes—
552#399C2312yes—
553#399C2312yes—
554#399C2311yescharacteristic
555#399C2311yescharacteristic
556#399C2312yes—
557#399C2312yes—
558#399C2314yes—
559#399C2314yes—
560#399C2312yes—
561#399C2312yes—
562#399C2314yes—
563#399C2314yes—
564#398C2312yes—
565#398C2312yes—
566#398C2311yescharacteristic
567#398C2311yescharacteristic
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2314yes—
574#398C2312yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#397C2311yescharacteristic
579#397C2311yescharacteristic
580#397C2312yes—
581#397C2312yes—
582#397C2314yes—
583#397C2314yes—
584#397C2312yes—
585#397C2314yes—
586#397C2314yes—
587#397C2314yes—
588#397C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2314yes—
594#396C2314yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#395C2311yescharacteristic
620#395C2312yes—
621#395C2311yescharacteristic
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2311yescharacteristic
630#394C2311yescharacteristic
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2312yes—
641#394C2312yes—
642#394C2314yes—
643#394C2312yes—
644#394C2312yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2312yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2312yes—
661#394C2314yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#394C2314yes—
670#394C2314yes—
671#394C2314yes—
672#394C2314yes—
673#394C2314yes—
674#394C2314yes—
675#393C2311yescharacteristic
676#393C2311yescharacteristic
677#393C2312yes—
678#393C2312yes—
679#393C2314yes—
680#393C2314yes—
681#393C2312yes—
682#393C2312yes—
683#392C2311yescharacteristic
684#392C2311yescharacteristic
685#392C2312yes—
686#392C2314yes—
687#392C2312yes—
688#392C2314yes—
689#392C2314yes—
690#392C2314yes—
691#392C2314yes—
692#392C2314yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2314yes—
697#392C2314yes—
698#392C2312yes—
699#392C2314yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2314yes—
705#392C2314yes—
706#392C2314yes—
707#392C2314yes—
708#392C2314yes—
709#392C2314yes—
710#391C2312yes—
711#391C2314yes—
712#391C2312yes—
713#391C2314yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2314yes—
721#390C2314yes—
722#390C2314yes—
723#390C2314yes—
724#390C2314yes—
725#390C2314yes—
726#390C2314yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2314yes—
732#389C2314yes—
733#389C2312yes—
734#389C2312yes—
735#389C2314yes—
736#389C2312yes—
737#389C2312yes—
738#389C2314yes—
739#389C2314yes—
740#389C2314yes—
741#389C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
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#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#384C2312yes—
799#384C2312yes—
800#384C2312yes—
801#382C2311yescharacteristic
802#382C2311yescharacteristic
803#382C2312yes—
804#382C2311yescharacteristic
805#382C2311yescharacteristic
806#381C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#380C2314yes—
831#380C2311yescharacteristic
832#380C2312yes—
833#380C2311yescharacteristic
834#379C2314yes—
835#379C2314yes—
836#379C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#95C2314yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C25C2412yes—
855C25C2414yes—
856C25C2412yes—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—84no—
864C2×#41—84no—
865C2×#41—84no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×D4—24no—
872C22×D4—24no—
873C22×D4—216no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—24no—
881C22×D4—28no—
882C22×D4—48no—
883C22×D4—84no—
884C22×D4—84no—
885C22×D4—84no—
886C22×D4—84no—
887C22×D4—84no—
888C22×D4—84no—
889C22×D4C2×D418yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2414yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2411yescharacteristic
923C23×C4—84no—
924C23×C4C2×D4116yescomplemented
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949C4⋊Q8—24no—
950C4⋊Q8—24no—
951#127—28no—
952#127—24no—
953#127—24no—
954#127—44no—
955#126—28no—
956#126—216no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—24no—
962#126—24no—
963#125—28no—
964#125—24no—
965#125—28no—
966#125—24no—
967#125—24no—
968#125—24no—
969#124—24no—
970#124—216no—
971#124—28no—
972#124—28no—
973#124—24no—
974#124—24no—
975#124—24no—
976#124—28no—
977#124—44no—
978#123—28no—
979#123—24no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—24no—
988#123—216no—
989#123—28no—
990#123—216no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—216no—
995#123—28no—
996#123—48no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—28no—
1004C22⋊Q8—24no—
1005C22⋊Q8—216no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—44no—
1009C22⋊Q8—84no—
1010C22⋊Q8—84no—
1011C22⋊Q8—84no—
1012#121—216no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—24no—
1017#121—24no—
1018#121—24no—
1019#121—28no—
1020#121—216no—
1021#121—216no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—24no—
1028#121—24no—
1029#121—28no—
1030#121—28no—
1031#121—24no—
1032#121—216no—
1033#121—28no—
1034#121—216no—
1035#121—28no—
1036#121—44no—
1037#121—44no—
1038#121—44no—
1039#121—48no—
1040#121—48no—
1041#121—84no—
1042#121—84no—
1043#121—84no—
1044#121—84no—
1045#121—84no—
1046#121—84no—
1047#121—84no—
1048#121—84no—
1049#121—84no—
1050#121—84no—
1051#121—84no—
1052#120—216no—
1053#120—28no—
1054#120—28no—
1055#120—216no—
1056#120—28no—
1057#120—216no—
1058#120—28no—
1059#120—48no—
1060#120—48no—
1061#120—48no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—24no—
1065C4×Q8—24no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—216no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—216no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—28no—
1081C4×D4—24no—
1082C4×D4—28no—
1083C4×D4—216no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—28no—
1091C4×D4—44no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—44no—
1095C4×D4—48no—
1096C4×D4—48no—
1097C4×D4C2×D418yes—
1098C4×D4C2×D418yes—
1099C4×D4C2×D4116yescomplemented
1100C4×D4C2×D4116yescomplemented
1101C4×D4C2×D418yescomplemented
1102C4×D4C2×D418yescomplemented
1103#117—28no—
1104#117—28no—
1105#117—24no—
1106#117—28no—
1107#117—28no—
1108#117—28no—
1109#117—24no—
1110#117—24no—
1111#117—28no—
1112#117—44no—
1113#117—44no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—28no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—24no—
1118C2×C4⋊C4—84no—
1119C2×C4⋊C4—84no—
1120C2×C4⋊C4—84no—
1121C2×C4⋊C4C2×D418yescomplemented
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2412yes—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—216no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—216no—
1189C2×C22⋊C4—28no—
1190C2×C22⋊C4—48no—
1191C2×C22⋊C4—48no—
1192C2×C22⋊C4—48no—
1193C2×C22⋊C4—84no—
1194C2×C22⋊C4—84no—
1195C2×C22⋊C4—84no—
1196C2×C22⋊C4C2×D4116yescomplemented
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2411yescharacteristic
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2411yescharacteristic
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C42C2×D418yescomplemented
1280C2×C42C2414yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2414yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294#95C2412yes—
1295#95C2411yescharacteristic
1296#95C2412yes—
1297#95C2411yescharacteristic
1298#95C2412yes—
1299#95C2411yescharacteristic
1300#95C2411yescharacteristic
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334C24—24no—
1335C24—24no—
1336C24—24no—
1337C24—28no—
1338C24—28no—
1339C24—24no—
1340C24—24no—
1341C24—28no—
1342C24—44no—
1343C24—44no—
1344C24—44no—
1345C24—44no—
1346C24—44no—
1347C24—44no—
1348C24—44no—
1349C24—44no—
1350C24C22×D418yes—
1351C24C2511yescharacteristic
1352C24C2512yes—
1353C24C2512yes—
1354C24C2514yes—
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357C24C2512yes—
1358C24C2512yes—
1359#41—416no—
1360#41—816no—
1361#41—816no—
1362#41—816no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—44no—
1373C2×Q8—44no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—232no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—28no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—24no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—432no—
1458C2×D4—416no—
1459C2×D4—816no—
1460C2×D4—816no—
1461C2×D4—832no—
1462C2×D4—832no—
1463C2×D4C22×D418yes—
1464C2×D4C22×D414yes—
1465C2×D4C22×D414yes—
1466C2×D4H(5,𝔽2)14yes—
1467C2×D42−1+414yes—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—28no—
1475C22×C4—24no—
1476C22×C4—28no—
1477C22×C4—28no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—42no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—816no—
1521C22×C4C22×D414yes—
1522C22×C4C22×D414yes—
1523C22×C4C22×D414yes—
1524C22×C4C22×D418yes—
1525C22×C4C22×D418yes—
1526C22×C4C22×D418yes—
1527C22×C4C22×D418yes—
1528C22×C4C22×D418yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2514yes—
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2514yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2514yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2512yes—
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2512yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2511yescharacteristic
1555C22×C4C2511yescharacteristic
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—22no—
1580C4⋊C4—22no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—22no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—42no—
1591C4⋊C4—44no—
1592C4⋊C4—42no—
1593C4⋊C4—42no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—42no—
1607C4⋊C4—42no—
1608C4⋊C4—42no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—42no—
1614C4⋊C4—42no—
1615C4⋊C4C22×D414yes—
1616C4⋊C4C22×D414yes—
1617C4⋊C4C22×D418yes—
1618C22⋊C4—22no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—22no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—22no—
1647C22⋊C4—22no—
1648C22⋊C4—24no—
1649C22⋊C4—22no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—22no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—24no—
1656C22⋊C4—22no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—42no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—42no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4C22×D418yes—
1697C22⋊C4C22×D418yes—
1698C22⋊C4C22×D418yes—
1699C22⋊C4C22×D418yes—
1700C42—28no—
1701C42—24no—
1702C42—24no—
1703C42—24no—
1704C42—22no—
1705C42—24no—
1706C42—22no—
1707C42—24no—
1708C42—24no—
1709C42—44no—
1710C42C22×D414yes—
1711C42C22×D414yes—
1712C42C22×D414yes—
1713C42C22×D414yes—
1714C23—24no—
1715C23—24no—
1716C23—21no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—24no—
1721C23—22no—
1722C23—24no—
1723C23—22no—
1724C23—216no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—24no—
1730C23—22no—
1731C23—24no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—21no—
1737C23—22no—
1738C23—22no—
1739C23—24no—
1740C23—24no—
1741C23—24no—
1742C23—24no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—24no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—48no—
1755C23—48no—
1756C23—48no—
1757C23—416no—
1758C23—88no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—88no—
1763C23—84no—
1764C23—88no—
1765C23—88no—
1766C23—88no—
1767C23—88no—
1768C23—88no—
1769C23—84no—
1770C23C23×D414yes—
1771C23C23×D412yes—
1772C23C23×D414yes—
1773C23C2×H(5,𝔽2)14yes—
1774C23C2×2−1+414yes—
1775C23C2611yescharacteristic
1776Q8—44no—
1777Q8—44no—
1778Q8—82no—
1779Q8—84no—
1780Q8—84no—
1781D4—216no—
1782D4—28no—
1783D4—44no—
1784D4—48no—
1785D4—44no—
1786D4—48no—
1787D4—48no—
1788D4—416no—
1789D4—44no—
1790D4—48no—
1791D4—416no—
1792D4—48no—
1793D4—48no—
1794D4—44no—
1795D4—48no—
1796D4—82no—
1797D4—88no—
1798D4—84no—
1799D4—84no—
1800D4—84no—
1801D4—84no—
1802D4—84no—
1803D4—84no—
1804D4—88no—
1805D4—88no—
1806D4—88no—
1807D4—84no—
1808D4—88no—
1809D4—88no—
1810D4—88no—
1811D4—164no—
1812D4—164no—
1813D4#537116yes—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—24no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—28no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—24no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—24no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—24no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—24no—
1874C2×C4—44no—
1875C2×C4—48no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—84no—
1886C2×C4—84no—
1887C2×C4—84no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—88no—
1891C2×C4—84no—
1892C2×C4—88no—
1893C2×C4—84no—
1894C2×C4—88no—
1895C2×C4—164no—
1896C2×C4—164no—
1897C2×C4C23×D412yes—
1898C2×C4C23×D414yes—
1899C2×C4C23×D414yes—
1900C2×C4C23×D412yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D412yes—
1904C2×C4C23×D412yes—
1905C2×C4C2×H(5,𝔽2)12yes—
1906C2×C4C2×2−1+412yes—
1907C22—28no—
1908C22—28no—
1909C22—24no—
1910C22—24no—
1911C22—22no—
1912C22—24no—
1913C22—22no—
1914C22—24no—
1915C22—22no—
1916C22—24no—
1917C22—44no—
1918C22—42no—
1919C22—44no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—44no—
1924C22—44no—
1925C22—42no—
1926C22—42no—
1927C22—44no—
1928C22—42no—
1929C22—44no—
1930C22—44no—
1931C22—44no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—41no—
1936C22—44no—
1937C22—42no—
1938C22—42no—
1939C22—41no—
1940C22—44no—
1941C22—42no—
1942C22—42no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—44no—
1950C22—816no—
1951C22—168no—
1952C22—1616no—
1953C22C2×#53718yes—
1954C22C24×D411yescharacteristic
1955C22C22×H(5,𝔽2)11yescharacteristic
1956C22C22×2−1+411yescharacteristic
1957C22H(7,𝔽2)12yes—
1958C22H(7,𝔽2)12yes—
1959C4—22no—
1960C4—22no—
1961C4—24no—
1962C4—24no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—42no—
1967C4—42no—
1968C4—44no—
1969C4—44no—
1970C4—42no—
1971C4—42no—
1972C4—41no—
1973C4—42no—
1974C4—41no—
1975C4—42no—
1976C4—42no—
1977C4—44no—
1978C4—42no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—42no—
1983C4—41no—
1984C4—42no—
1985C4C2×#53714yes—
1986C2—28no—
1987C2—44no—
1988C2—42no—
1989C2—81no—
1990C2—82no—
1991C2—84no—
1992C2—81no—
1993C2—82no—
1994C2C22×#53711yescharacteristic
1995C2#6284211yescharacteristic
1996C2#6285211yescharacteristic
1997C2#6304112yes—
1998C2#6305412yes—
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×#3519C2semidirect
2. C2×#3513C2semidirect
3. #42674C2semidirect
4. #42650C2semidirect
5. #42646C2semidirect
6. #42476C2semidirect
7. #42445C2semidirect
8. #42444C2semidirect
9. #42429C2semidirect
10. #42425C2semidirect
11. #41372C2semidirect
12. #41368C2semidirect
13. #40587C2semidirect
14. #40586C2semidirect
15. #40515C2semidirect
16. #40514C2semidirect
17. #40492C2semidirect
18. #40488C2semidirect
19. #37621C2semidirect
20. #37616C2semidirect
21. #37553C2semidirect
22. #37452C2semidirect
23. #37444C2semidirect
24. #37439C2semidirect
25. #36684C2semidirect
26. C2×#2813C2semidirect
27. #36031C2semidirect
28. #35836C2semidirect
29. #35776C2semidirect
30. #35761C2semidirect
31. #35761C2semidirect
32. #35728C2semidirect
33. #35691C2semidirect
34. #35691C2semidirect
35. #34181C2semidirect
38. C2×#559C22semidirect
39. C2×#555C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#552C22semidirect
47. C2×#551C22semidirect
48. C2×#551C22semidirect
49. C2×#550C22semidirect
50. C2×#547C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
56. C2×#546C22semidirect
61. C2×#542C22semidirect
62. C2×#540C22semidirect
63. C2×#540C22semidirect
64. C2×#539C22semidirect
65. C2×#538C22semidirect
66. C2×#538C22semidirect
67. C2×#532C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
73. C22×#123C22semidirect
74. C22×#121C22semidirect
80. #2823C22semidirect
81. #2823C22semidirect
82. #2822C22semidirect
83. #2820C22semidirect
84. #2820C22semidirect
85. #2819C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
89. #2814C22semidirect
91. #2813C22semidirect
92. #2813C22semidirect
93. #2813C22semidirect
94. #2813C22semidirect
95. #2813C22semidirect
96. #2813C22semidirect
97. #2813C22semidirect
98. #2813C22semidirect
99. #2813C22semidirect
100. #2813C22semidirect
101. #2813C22semidirect
102. #2813C22semidirect
103. #2813C22semidirect
104. #2813C22semidirect
105. #2813C22semidirect
106. #2727C22semidirect
107. #2725C22semidirect
108. #2715C22semidirect
109. #2712C22semidirect
110. #2707C22semidirect
111. #2705C22semidirect
112. #2705C22semidirect
113. #2702C22semidirect
114. #2695C22semidirect
115. #2693C22semidirect
116. #2691C22semidirect
117. #2691C22semidirect
118. #2682C22semidirect
119. #2681C22semidirect
120. #2676C22semidirect
121. #2676C22semidirect
122. #2676C22semidirect
123. #2675C22semidirect
124. #2675C22semidirect
125. #2672C22semidirect
126. #2672C22semidirect
127. #2671C22semidirect
128. #2671C22semidirect
129. #2671C22semidirect
130. #2664C22semidirect
131. #2662C22semidirect
132. #2662C22semidirect
133. #2662C22semidirect
134. #2656C22semidirect
135. #2656C22semidirect
136. #2639C22semidirect
137. #2639C22semidirect
138. #2636C22semidirect
139. #2636C22semidirect
140. #2630C22semidirect
141. #2630C22semidirect
142. #2630C22semidirect
143. #2630C22semidirect
144. #2630C22semidirect
145. #2629C22semidirect
146. #2628C22semidirect
147. #2628C22semidirect
148. #2627C22semidirect
149. #2626C22semidirect
150. #2626C22semidirect
151. #2625C22semidirect
152. #2624C22semidirect
153. #2624C22semidirect
154. #2620C22semidirect
155. #2620C22semidirect
156. #2620C22semidirect
157. #2619C22semidirect
158. #2619C22semidirect
159. #2619C22semidirect
160. #2618C22semidirect
161. #2618C22semidirect
162. #2618C22semidirect
163. #2617C22semidirect
164. #2617C22semidirect
165. #2617C22semidirect
166. #2617C22semidirect
167. #2616C22semidirect
168. #2616C22semidirect
169. #2615C22semidirect
170. #2615C22semidirect
171. #2615C22semidirect
172. #2601C22semidirect
173. #2581C22semidirect
174. #2580C22semidirect
175. #2579C22semidirect
176. #2568C22semidirect
177. #2566C22semidirect
178. #2564C22semidirect
179. #2564C22semidirect
180. #2562C22semidirect
181. #2548C22semidirect
182. #2544C22semidirect
183. #2544C22semidirect
184. #2543C22semidirect
185. #2543C22semidirect
186. #2543C22semidirect
187. #2542C22semidirect
188. #2541C22semidirect
189. #2541C22semidirect
190. #2540C22semidirect
191. #2538C22semidirect
192. #2537C22semidirect
193. #2537C22semidirect
194. #2536C22semidirect
195. #2535C22semidirect
196. #2535C22semidirect
197. #2534C22semidirect
198. #2534C22semidirect
199. #2498C22semidirect
200. #2498C22semidirect
201. #2487C22semidirect
202. #2487C22semidirect
203. #2485C22semidirect
204. #2454C22semidirect
205. #2454C22semidirect
206. #2453C22semidirect
207. #2452C22semidirect
208. #2450C22semidirect
209. #2450C22semidirect
210. #2449C22semidirect
211. #2449C22semidirect
212. #2442C22semidirect
213. #2441C22semidirect
214. #2441C22semidirect
215. #2439C22semidirect
216. #2438C22semidirect
217. #2437C22semidirect
218. #2437C22semidirect
219. #2437C22semidirect
220. #2430C22semidirect
221. #2430C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2426C22semidirect
230. #2425C22semidirect
231. #2425C22semidirect
232. #2424C22semidirect
233. #2424C22semidirect
234. #2424C22semidirect
235. #2424C22semidirect
236. #2424C22semidirect
237. #2424C22semidirect
238. #2417C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2412C22semidirect
252. #2412C22semidirect
253. #2411C22semidirect
254. #2410C22semidirect
255. #2410C22semidirect
256. #2410C22semidirect
257. #2410C22semidirect
258. #2410C22semidirect
259. #2408C22semidirect
260. #2408C22semidirect
261. #2408C22semidirect
262. #2407C22semidirect
263. #2407C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
266. #2396C22semidirect
267. C2×#400C22semidirect
268. C2×#399C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. #2392C22semidirect
273. #2392C22semidirect
274. C2×#396C22semidirect
275. C2×#394C22semidirect
276. C2×#394C22semidirect
277. C2×#394C22semidirect
278. C2×#392C22semidirect
279. C2×#392C22semidirect
283. #2349C22semidirect
284. #2349C22semidirect
285. #2349C22semidirect
286. #2349C22semidirect
289. D4×C4⋊C4C22semidirect
290. D4×C4⋊C4C22semidirect
295. #2316C22semidirect
296. #2315C22semidirect
297. #2285C22semidirect
298. #2285C22semidirect
299. C2×#380C22semidirect
300. C2×#380C22semidirect
471. C2×C4×D4D4semidirect
924. C23×C4C2×D4semidirect
1099. C4×D4C2×D4semidirect
1100. C4×D4C2×D4semidirect
1101. C4×D4C2×D4semidirect
1102. C4×D4C2×D4semidirect
1121. C2×C4⋊C4C2×D4semidirect
1196. C2×C22⋊C4C2×D4semidirect
1279. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#35132
#426742
#426502
#426462
#424762
#424452
#424442
#424292
#424252
#413722
#413682
#405872
#405862
#405152
#405142
#404922
#404882
#376212
#376162
#375532
#374522
#374442
#374392
#366842
C2×#28132
#360312
#358362
#357762
#357612
#357282
#356912
#341812