Finite Group Databasebeta

← #7732613

Subgroups — #7732613

Order 512.

7623 conjugacy classes of subgroups.

The subgroup lattice has 2102 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#51318C214yesmaximal, complemented
4#50640C214yesmaximal, complemented
5#47457C214yesmaximal, complemented
6#46378C214yesmaximal, complemented
7#44987C212yesmaximal, complemented
8#44889C212yesmaximal, complemented
9#44886C212yesmaximal, complemented
10#44884C212yesmaximal, complemented
11#39471C211yesmaximal, characteristic, complemented
12#39462C212yesmaximal, complemented
13#39341C211yesmaximal, characteristic, complemented
14#39341C212yesmaximal, complemented
15#39138C211yesmaximal, characteristic, complemented
16#39127C211yesmaximal, characteristic, complemented
17#37836C212yesmaximal, complemented
18#37775C212yesmaximal, complemented
19#37759C212yesmaximal, complemented
20#37699C212yesmaximal, complemented
21#37681C212yesmaximal, complemented
22#37657C212yesmaximal, complemented
23#37618C211yesmaximal, characteristic, complemented
24#37276C212yesmaximal, complemented
25#37270C212yesmaximal, complemented
26#36505C211yesmaximal, characteristic, complemented
27#36455C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#36101C211yesmaximal, characteristic, complemented
30#35521C212yesmaximal, complemented
31#35518C212yesmaximal, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35273C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3517—216no—
37C2×#557C2211yescharacteristic, complemented
38C2×#553C2212yescomplemented
39C2×#553C2214yescomplemented
40C2×#550C2211yescharacteristic
41C2×#550C2212yes—
42C2×#550C2212yes—
43C2×#550C2212yescomplemented
44C2×#550C2211yescharacteristic, complemented
45C2×#547C2211yescharacteristic
46C2×#547C2212yescomplemented
47C2×#546C2212yes—
48#3460—216no—
49C2×#544C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#542C2212yes—
52C2×#542C2211yescharacteristic
53C2×#540C2211yescharacteristic
54C2×#540C2212yes—
55C2×#540C2211yescharacteristic
56C2×#540C2214yescomplemented
57C2×#540C2212yescomplemented
58C2×#538C2212yes—
59C2×#538C2212yes—
60C2×#537C2211yescharacteristic
61C2×#537C2212yes—
62C2×#537C2212yescomplemented
63C2×#537C2212yescomplemented
64C2×#535C2211yescharacteristic
65C2×#535C2211yescharacteristic
66C2×#532C2212yes—
67C2×#532C2211yescharacteristic
68C2×#532C2212yes—
69C2×#532C2211yescharacteristic
70C2×#532C2211yescharacteristic, complemented
71C2×#529C2212yes—
72C2×#529C2211yescharacteristic
73C2×#529C2211yescharacteristic
74C2×#529C2212yescomplemented
75C2×#525C2212yes—
76C2×#525C2212yes—
77C2×#525C2212yes—
78C2×#520C2212yescomplemented
79C2×C4×#41C2211yescharacteristic
80C2×C4×#41C2211yescharacteristic
81C2×C4×#41C2211yescharacteristic, complemented
82C22×C4×D4C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2211yescharacteristic, complemented
85#2857C2212yescomplemented
86#2856C2211yescharacteristic
87#2856C2212yes—
88#2856C2212yescomplemented
89#2856C2211yescharacteristic, complemented
90#2851C2212yescomplemented
91#2847C2212yes—
92#2847C2212yes—
93#2815C2214yescomplemented
94#2725C2214yescomplemented
95#2716C2214yescomplemented
96#2714C2214yescomplemented
97#2714C2214yescomplemented
98#2710C2214yescomplemented
99#2707C2214yescomplemented
100#2707C2214yescomplemented
101#2705C2214yescomplemented
102#2705C2214yescomplemented
103#2703C2214yescomplemented
104#2703C2214yescomplemented
105#2703C2214yescomplemented
106#2702C2214yes—
107#2696C2214yes—
108#2696C2214yescomplemented
109#2693C2214yescomplemented
110#2691C2214yescomplemented
111#2688C2214yescomplemented
112#2682C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2676C2214yes—
116#2676C2214yescomplemented
117#2676C2214yescomplemented
118#2676C2214yescomplemented
119#2675C2214yes—
120#2675C2214yes—
121#2675C2214yescomplemented
122#2675C2214yescomplemented
123#2673C2214yes—
124#2673C2214yes—
125#2673C2214yescomplemented
126#2673C2214yescomplemented
127#2673C2214yescomplemented
128#2671C2214yes—
129#2671C2214yescomplemented
130#2669C2214yes—
131#2669C2214yes—
132#2669C2214yes—
133#2669C2214yes—
134#2657C2212yes—
135#2640C2212yescomplemented
136#2631C2214yescomplemented
137#2629C2212yescomplemented
138#2620C2212yes—
139#2620C2212yescomplemented
140#2620C2214yescomplemented
141#2619C2212yescomplemented
142#2615C2212yescomplemented
143#2615C2212yescomplemented
144#2615C2212yescomplemented
145#2615C2212yescomplemented
146#2600C2212yes—
147#2600C2212yescomplemented
148#2599C2212yescomplemented
149#2598C2212yes—
150#2581C2211yescharacteristic, complemented
151#2580C2211yescharacteristic, complemented
152#2562C2212yes—
153#2562C2212yescomplemented
154#2557C2214yescomplemented
155#2547C2211yescharacteristic
156#2547C2211yescharacteristic, complemented
157#2545C2212yes—
158#2543C2214yescomplemented
159#2541C2211yescharacteristic
160#2541C2212yes—
161#2541C2212yes—
162#2541C2214yes—
163#2541C2212yes—
164#2541C2211yescharacteristic, complemented
165#2541C2212yescomplemented
166#2540C2212yescomplemented
167#2538C2211yescharacteristic
168#2538C2212yescomplemented
169#2538C2211yescharacteristic, complemented
170#2538C2212yescomplemented
171#2538C2212yescomplemented
172#2538C2212yescomplemented
173#2537C2211yescharacteristic
174#2537C2212yes—
175#2537C2212yes—
176#2537C2212yes—
177#2537C2211yescharacteristic, complemented
178#2537C2212yescomplemented
179#2536C2212yes—
180#2536C2211yescharacteristic
181#2535C2211yescharacteristic
182#2535C2212yescomplemented
183#2535C2212yescomplemented
184#2535C2212yescomplemented
185#2492C2212yescomplemented
186#2490C2212yescomplemented
187#2487C2212yescomplemented
188#2486C2212yes—
189#2485C2211yescharacteristic
190#2485C2211yescharacteristic, complemented
191#2481C2214yescomplemented
192#2475C2214yescomplemented
193#2475C2214yescomplemented
194#2471C2214yescomplemented
195#2466C2214yescomplemented
196#2464C2214yescomplemented
197#2464C2214yescomplemented
198#2463C2214yes—
199#2461C2214yes—
200#2460C2214yes—
201#2459C2214yescomplemented
202#2457C2214yescomplemented
203#2456C2214yes—
204#2456C2214yes—
205#2456C2214yes—
206#2456C2214yescomplemented
207#2453C2212yescomplemented
208#2452C2214yescomplemented
209#2452C2212yescomplemented
210#2450C2214yescomplemented
211#2449C2214yescomplemented
212#2446C2212yescomplemented
213#2445C2212yes—
214#2433C2212yes—
215#2432C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yescomplemented
220#2429C2212yescomplemented
221#2428C2214yes—
222#2428C2214yes—
223#2428C2212yes—
224#2428C2214yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2214yescomplemented
228#2427C2212yes—
229#2426C2212yes—
230#2425C2214yes—
231#2425C2214yescomplemented
232#2425C2214yescomplemented
233#2424C2214yes—
234#2424C2214yes—
235#2424C2214yes—
236#2424C2214yes—
237#2424C2214yes—
238#2417C2212yes—
239#2417C2214yescomplemented
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2214yes—
244#2416C2212yes—
245#2416C2212yescomplemented
246#2416C2214yescomplemented
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2416C2212yescomplemented
250#2415C2214yes—
251#2414C2212yes—
252#2414C2212yes—
253#2414C2212yescomplemented
254#2414C2214yescomplemented
255#2414C2214yescomplemented
256#2412C2214yes—
257#2407C2212yes—
258#2407C2211yescharacteristic
259#2407C2212yes—
260#2407C2212yescomplemented
261#2407C2212yescomplemented
262#2407C2211yescharacteristic, complemented
263#2395C2212yescomplemented
264#2388C2212yes—
265#2383C2214yescomplemented
266#2367C2212yescomplemented
267#2366C2212yes—
268#2362C2212yes—
269#2361C2212yes—
270#2361C2212yes—
271#2360C2212yescomplemented
272#2355C2211yescharacteristic, complemented
273#2354C2211yescharacteristic
274#2352C2212yescomplemented
275Q8×C4⋊C4C2211yescharacteristic, complemented
276D4×C4⋊C4C2211yescharacteristic
277D4×C4⋊C4C2212yescomplemented
278#2341C2212yescomplemented
279#2339C2212yes—
280#2330C2212yescomplemented
281#2326C2212yes—
282#2324C2212yescomplemented
283#2323C2212yescomplemented
284#2322C2214yescomplemented
285#2317C2212yescomplemented
286#2314C2212yescomplemented
287#2311C2212yescomplemented
288#2311C2212yescomplemented
289#2311C2212yescomplemented
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic, complemented
292C4×C22⋊Q8C2212yescomplemented
293C4×#121C2211yescharacteristic
294C4×#121C2212yescomplemented
295C4×#121C2211yescharacteristic, complemented
296#2290C2212yes—
297#2290C2212yescomplemented
298C2×#384C2211yescharacteristic, complemented
299#2283C2211yescharacteristic, complemented
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2312yes—
312#557—28no—
313#553—232no—
314#553—216no—
315#550—216no—
316#550—28no—
317#550—28no—
318#550—216no—
319#550—48no—
320#547—216no—
321#547—28no—
322#546—48no—
323#544—28no—
324#542—216no—
325#542—28no—
326#542—28no—
327#540—28no—
328#540—216no—
329#540—232no—
330#540—28no—
331#540—216no—
332#538—216no—
333#538—216no—
334#537—28no—
335#537—48no—
336#537—48no—
337#537—48no—
338#535—28no—
339#535—28no—
340#532—216no—
341#532—216no—
342#532—28no—
343#532—28no—
344#532—28no—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2311yescharacteristic
350C2×#127C2311yescharacteristic
351C2×#127C2311yescharacteristic
352C2×#127C2312yes—
353C2×#127C2314yes—
354C2×#127C2312yes—
355C2×#127C2311yescharacteristic
356C2×#127C2312yes—
357C2×#127C2312yes—
358C2×#127C2312yes—
359C2×#127C2314yes—
360C2×#127C2314yes—
361#529—216no—
362#529—28no—
363#529—216no—
364#529D4116yescomplemented
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2314yes—
369C2×#126C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2314yes—
374C2×#125C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385#525—216no—
386#525—216no—
387#525—48no—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2314yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2314yes—
460C2×#121C2311yescharacteristic
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2314yes—
464C2×#121C2314yes—
465C2×#121C2314yes—
466C2×#121C2314yes—
467C2×#121C2314yes—
468C2×#121C2314yes—
469C2×#121C2314yes—
470C2×#121C2314yes—
471C2×#121C2314yes—
472C2×#121C2314yes—
473C2×#121C2314yes—
474C2×#121C2312yes—
475C2×#121C2314yes—
476C2×#121C2312yes—
477C2×#121C2314yes—
478C2×#121C2311yescharacteristic
479C2×#120C2312yes—
480C2×#120C2312yes—
481C2×#120C2312yes—
482C2×#120C2312yes—
483C2×#120C2314yes—
484C2×#120C2314yes—
485C2×#120C2314yes—
486#520—216no—
487C4×#41—28no—
488C4×#41—28no—
489C4×#41—28no—
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2311yescharacteristic
492C2×C4×Q8C2311yescharacteristic
493C2×C4×Q8C2311yescharacteristic
494C2×C4×Q8C2311yescharacteristic
495C2×C4×Q8C2312yes—
496C2×C4×Q8C2311yescharacteristic
497C2×C4×Q8C2312yes—
498C2×C4×Q8C2311yescharacteristic
499C2×C4×D4—28no—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2312yes—
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2312yes—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2312yes—
513C2×C4×D4C2312yes—
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2312yes—
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2311yescharacteristic
521C2×C4×D4C2311yescharacteristic
522C2×C4×D4C2312yes—
523C2×C4×D4C2311yescharacteristic
524C2×C4×D4C2314yes—
525C2×C4×D4C2312yes—
526C2×C4×D4C2314yes—
527C2×C4×D4C2312yes—
528C2×C4×D4C2312yes—
529C2×C4×D4C2314yes—
530C2×C4×D4C2314yes—
531C2×C4×D4C2312yes—
532C2×C4×D4C2314yes—
533C2×C4×D4C2314yes—
534C2×C4×D4C2312yes—
535C2×C4×D4C2314yes—
536C2×C4×D4C2314yes—
537C2×C4×D4C2311yescharacteristic
538C2×C4×D4C2312yes—
539C2×#117C2311yescharacteristic
540C2×#117C2311yescharacteristic
541C2×#117C2312yes—
542C2×#117C2312yes—
543C2×#117C2311yescharacteristic
544C2×#117C2311yescharacteristic
545C2×#117C2311yescharacteristic
546C2×#117C2312yes—
547C2×#117C2314yes—
548C2×#117C2312yes—
549C2×#117C2312yes—
550C22×C4⋊C4C2312yes—
551C22×C4⋊C4C2311yescharacteristic
552C22×C4⋊C4C2314yes—
553C22×C4⋊C4C2312yes—
554C22×C4⋊C4C2312yes—
555C22×C4⋊C4C2312yes—
556C22×C4⋊C4C2312yes—
557C22×C22⋊C4C2312yes—
558C22×C22⋊C4C2314yes—
559C22×C42C2312yes—
560C22×C42C2311yescharacteristic
561C22×C42C2312yes—
562C22×C42C2311yescharacteristic
563C22×C42C2311yescharacteristic
564#400C2314yes—
565#400C2314yes—
566#400C2312yes—
567#400C2314yes—
568#399C2312yes—
569#399C2314yes—
570#398C2312yes—
571#398C2314yes—
572#398C2314yes—
573#398C2314yes—
574#398C2314yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2314yes—
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#397C2314yes—
583#397C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#395C2312yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#393C2312yes—
626#393C2314yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#392C2312yes—
631#392C2312yes—
632#392C2312yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#391C2312yes—
661#391C2312yes—
662#391C2314yes—
663#391C2314yes—
664#391C2311yescharacteristic
665#391C2311yescharacteristic
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#390C2312yes—
670#390C2314yes—
671#390C2312yes—
672#390C2314yes—
673#390C2312yes—
674#390C2314yes—
675#390C2311yescharacteristic
676#390C2311yescharacteristic
677#390C2312yes—
678#390C2314yes—
679#390C2312yes—
680#390C2314yes—
681#390C2312yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2314yes—
686#390C2314yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2314yes—
692#390C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2312yes—
697#389C2314yes—
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2311yescharacteristic
702#389C2312yes—
703#389C2314yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2314yes—
710#389C2312yes—
711#389C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2312yes—
739#387C2312yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2312yes—
744#387C2312yes—
745#387C2312yes—
746#387C2312yes—
747#387C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2312yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2312yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#385C2312yes—
792#385C2312yes—
793#385C2312yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#384C2312yes—
799#384C2312yes—
800#384C2312yes—
801#384C2311yescharacteristic
802#384C2311yescharacteristic
803#384C2312yes—
804#383C2312yes—
805#382C2311yescharacteristic
806#382C2311yescharacteristic
807#382C2312yes—
808#381C2312yes—
809#381C2314yes—
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2311yescharacteristic
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2314yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#380C2312yes—
828#380C2314yes—
829#380C2312yes—
830#380C2314yes—
831#380C2312yes—
832#380C2311yescharacteristic
833#380C2311yescharacteristic
834#380C2312yes—
835#380C2314yes—
836#380C2314yes—
837#380C2311yescharacteristic
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2314yes—
845C4×C4⋊C4C2312yes—
846C4×C4⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2312yes—
854C4×C22⋊C4C2312yes—
855#376C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—42no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—42no—
878C2×#41—42no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41—44no—
885C22×Q8C2412yes—
886C22×Q8C2411yescharacteristic
887C22×Q8C2411yescharacteristic
888C22×Q8C2411yescharacteristic
889C22×Q8C2412yes—
890C22×Q8C2412yes—
891C22×D4—24no—
892C22×D4—24no—
893C22×D4—42no—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2412yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2412yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2412yes—
933C23×C4—28no—
934C23×C4—44no—
935C23×C4—44no—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2414yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2414yes—
951C23×C4C2412yes—
952C23×C4C2414yes—
953C23×C4C2414yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C23×C4C2412yes—
959C23×C4C2414yes—
960C23×C4C2414yes—
961C23×C4C2411yescharacteristic
962C4⋊Q8—28no—
963C4⋊Q8—28no—
964C4⋊Q8—24no—
965C4⋊Q8—24no—
966C4⋊Q8—24no—
967#127—28no—
968#127—24no—
969#127—28no—
970#127—216no—
971#127—24no—
972#127—24no—
973#127—28no—
974#127—44no—
975#127—44no—
976#127—48no—
977#127—84no—
978#126—28no—
979#126—28no—
980#126—216no—
981#126—28no—
982#126C2×D4116yes—
983#125—28no—
984#125—24no—
985#125—216no—
986#125—28no—
987#125C2×D418yes—
988#124—24no—
989#124—28no—
990#124—28no—
991#124—28no—
992#124—28no—
993#124—28no—
994#124—28no—
995#124—44no—
996#124—44no—
997#124C2×D418yes—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—216no—
1002#123—216no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—28no—
1007#123—216no—
1008#123—216no—
1009#123—48no—
1010#123—48no—
1011#123C2×D4116yes—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—24no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—48no—
1025C22⋊Q8—48no—
1026C22⋊Q8—48no—
1027C22⋊Q8—44no—
1028C22⋊Q8C2×D418yes—
1029#121—28no—
1030#121—24no—
1031#121—28no—
1032#121—216no—
1033#121—24no—
1034#121—24no—
1035#121—28no—
1036#121—28no—
1037#121—28no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—24no—
1044#121—28no—
1045#121—24no—
1046#121—28no—
1047#121—216no—
1048#121—28no—
1049#121—28no—
1050#121—28no—
1051#121—28no—
1052#121—28no—
1053#121—216no—
1054#121—216no—
1055#121—216no—
1056#121—216no—
1057#121—216no—
1058#121—48no—
1059#121—48no—
1060#121—48no—
1061#121—48no—
1062#121—48no—
1063#121—48no—
1064#121—48no—
1065#121—48no—
1066#121—48no—
1067#121—48no—
1068#121—48no—
1069#121—48no—
1070#121—42no—
1071#121—44no—
1072#121—42no—
1073#121—44no—
1074#121—44no—
1075#121—44no—
1076#121—44no—
1077#121—44no—
1078#121—44no—
1079#121—44no—
1080#121—44no—
1081#121—44no—
1082#121—44no—
1083#121—84no—
1084#121—82no—
1085#121—82no—
1086#121—84no—
1087#121—84no—
1088#121C2×D418yes—
1089#120—28no—
1090#120—28no—
1091#120—28no—
1092#120—28no—
1093#120—48no—
1094#120—48no—
1095#120—84no—
1096C4×Q8—24no—
1097C4×Q8—28no—
1098C4×Q8—24no—
1099C4×Q8—24no—
1100C4×Q8—24no—
1101C4×Q8—24no—
1102C4×Q8—28no—
1103C4×Q8—44no—
1104C4×Q8C2×D418yes—
1105C4×D4—24no—
1106C4×D4—28no—
1107C4×D4—24no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—28no—
1111C4×D4—24no—
1112C4×D4—28no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—24no—
1116C4×D4—28no—
1117C4×D4—24no—
1118C4×D4—28no—
1119C4×D4—216no—
1120C4×D4—28no—
1121C4×D4—216no—
1122C4×D4—216no—
1123C4×D4—216no—
1124C4×D4—24no—
1125C4×D4—28no—
1126C4×D4—24no—
1127C4×D4—24no—
1128C4×D4—24no—
1129C4×D4—24no—
1130C4×D4—24no—
1131C4×D4—28no—
1132C4×D4—28no—
1133C4×D4—28no—
1134C4×D4—28no—
1135C4×D4—28no—
1136C4×D4—44no—
1137C4×D4—44no—
1138C4×D4—48no—
1139C4×D4—48no—
1140C4×D4—48no—
1141C4×D4—84no—
1142C4×D4C2×D418yes—
1143C4×D4C2×D4116yes—
1144#117—24no—
1145#117—24no—
1146#117—24no—
1147#117—28no—
1148#117—216no—
1149#117—24no—
1150#117—24no—
1151#117—28no—
1152#117—28no—
1153#117—44no—
1154#117C2×D4116yes—
1155C2×C4⋊C4—28no—
1156C2×C4⋊C4—24no—
1157C2×C4⋊C4—216no—
1158C2×C4⋊C4—44no—
1159C2×C4⋊C4—44no—
1160C2×C4⋊C4—44no—
1161C2×C4⋊C4—82no—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2411yescharacteristic
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C4⋊C4C2414yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2414yes—
1201C2×C4⋊C4C2414yes—
1202C2×C4⋊C4C2414yes—
1203C2×C4⋊C4C2414yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2414yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2414yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2414yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C22⋊C4—28no—
1220C2×C22⋊C4—48no—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2411yescharacteristic
1227C2×C22⋊C4C2411yescharacteristic
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2411yescharacteristic
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2411yescharacteristic
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C42—24no—
1296C2×C42—28no—
1297C2×C42—28no—
1298C2×C42—24no—
1299C2×C42C2×D418yes—
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2412yes—
1303C2×C42C2411yescharacteristic
1304C2×C42C2412yes—
1305C2×C42C2411yescharacteristic
1306C2×C42C2412yes—
1307C2×C42C2414yes—
1308C2×C42C2411yescharacteristic
1309C2×C42C2412yes—
1310C2×C42C2412yes—
1311C2×C42C2412yes—
1312C2×C42C2411yescharacteristic
1313C2×C42C2412yes—
1314C2×C42C2414yes—
1315C2×C42C2414yes—
1316C2×C42C2414yes—
1317C2×C42C2411yescharacteristic
1318C2×C42C2412yes—
1319C2×C42C2411yescharacteristic
1320C2×C42C2411yescharacteristic
1321C2×C42C2411yescharacteristic
1322#95C2412yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2412yes—
1339#95C2414yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2414yes—
1345#95C2414yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2412yes—
1349#95C2412yes—
1350#95C2414yes—
1351#95C2414yes—
1352#95C2412yes—
1353#95C2414yes—
1354#95C2414yes—
1355#95C2414yes—
1356#95C2414yes—
1357#95C2414yes—
1358#95C2414yes—
1359#95C2414yes—
1360C24—24no—
1361C24—24no—
1362C24—42no—
1363C24—42no—
1364C24—42no—
1365C24—42no—
1366C24—42no—
1367C24C2512yes—
1368C24C2511yescharacteristic
1369C24C2512yes—
1370C24C2514yes—
1371C24C2512yes—
1372C24C2512yes—
1373C24C2511yescharacteristic
1374C24C2511yescharacteristic
1375#41—416no—
1376#41—432no—
1377#41—416no—
1378#41—416no—
1379#41—816no—
1380#41—816no—
1381#41—816no—
1382#41—816no—
1383#41—816no—
1384C2×Q8—22no—
1385C2×Q8—22no—
1386C2×Q8—24no—
1387C2×Q8—24no—
1388C2×Q8—24no—
1389C2×Q8—22no—
1390C2×Q8—24no—
1391C2×Q8—22no—
1392C2×Q8—22no—
1393C2×Q8—22no—
1394C2×Q8—24no—
1395C2×Q8—41no—
1396C2×Q8—42no—
1397C2×Q8—42no—
1398C2×Q8—42no—
1399C2×Q8—42no—
1400C2×Q8C22×D414yes—
1401C2×Q8H(5,𝔽2)14yes—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—28no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—28no—
1417C2×D4—28no—
1418C2×D4—24no—
1419C2×D4—28no—
1420C2×D4—24no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—28no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—28no—
1434C2×D4—22no—
1435C2×D4—28no—
1436C2×D4—24no—
1437C2×D4—24no—
1438C2×D4—22no—
1439C2×D4—24no—
1440C2×D4—22no—
1441C2×D4—24no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—24no—
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—24no—
1450C2×D4—416no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—41no—
1455C2×D4—41no—
1456C2×D4—44no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—41no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—42no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—44no—
1470C2×D4—42no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—44no—
1475C2×D4—42no—
1476C2×D4—44no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—42no—
1481C2×D4—44no—
1482C2×D4—44no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—42no—
1486C2×D4—42no—
1487C2×D4—42no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—42no—
1491C2×D4—42no—
1492C2×D4—44no—
1493C2×D4—44no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—44no—
1497C2×D4—42no—
1498C2×D4—42no—
1499C2×D4—42no—
1500C2×D4—42no—
1501C2×D4—44no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4C22×D414yes—
1519C2×D4C22×D418yes—
1520C22×C4—22no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—24no—
1524C22×C4—24no—
1525C22×C4—22no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—28no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—22no—
1533C22×C4—22no—
1534C22×C4—22no—
1535C22×C4—24no—
1536C22×C4—24no—
1537C22×C4—28no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—28no—
1542C22×C4—22no—
1543C22×C4—24no—
1544C22×C4—22no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—22no—
1548C22×C4—22no—
1549C22×C4—24no—
1550C22×C4—22no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—22no—
1554C22×C4—22no—
1555C22×C4—24no—
1556C22×C4—22no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—28no—
1560C22×C4—28no—
1561C22×C4—24no—
1562C22×C4—41no—
1563C22×C4—41no—
1564C22×C4—44no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—44no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—44no—
1571C22×C4—44no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—42no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—44no—
1585C22×C4—44no—
1586C22×C4—44no—
1587C22×C4—44no—
1588C22×C4—44no—
1589C22×C4—44no—
1590C22×C4—44no—
1591C22×C4—44no—
1592C22×C4—44no—
1593C22×C4—816no—
1594C22×C4C22×D414yes—
1595C22×C4C22×D414yes—
1596C22×C4C22×D418yes—
1597C22×C4C22×D414yes—
1598C22×C4H(5,𝔽2)14yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2512yes—
1606C22×C4C2511yescharacteristic
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2512yes—
1610C22×C4C2514yes—
1611C22×C4C2514yes—
1612C22×C4C2512yes—
1613C22×C4C2514yes—
1614C22×C4C2511yescharacteristic
1615C22×C4C2512yes—
1616C22×C4C2511yescharacteristic
1617C22×C4C2511yescharacteristic
1618C22×C4C2511yescharacteristic
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2511yescharacteristic
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2511yescharacteristic
1625C22×C4C2511yescharacteristic
1626C4⋊C4—24no—
1627C4⋊C4—22no—
1628C4⋊C4—28no—
1629C4⋊C4—24no—
1630C4⋊C4—22no—
1631C4⋊C4—28no—
1632C4⋊C4—24no—
1633C4⋊C4—22no—
1634C4⋊C4—24no—
1635C4⋊C4—22no—
1636C4⋊C4—22no—
1637C4⋊C4—22no—
1638C4⋊C4—22no—
1639C4⋊C4—24no—
1640C4⋊C4—22no—
1641C4⋊C4—22no—
1642C4⋊C4—22no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—28no—
1649C4⋊C4—24no—
1650C4⋊C4—28no—
1651C4⋊C4—22no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—22no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—28no—
1660C4⋊C4—28no—
1661C4⋊C4—24no—
1662C4⋊C4—28no—
1663C4⋊C4—22no—
1664C4⋊C4—22no—
1665C4⋊C4—44no—
1666C4⋊C4—44no—
1667C4⋊C4—44no—
1668C4⋊C4—42no—
1669C4⋊C4—44no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—44no—
1674C4⋊C4—44no—
1675C4⋊C4—44no—
1676C4⋊C4—42no—
1677C4⋊C4C22×D418yes—
1678C4⋊C4C22×D414yes—
1679C4⋊C4C22×D418yes—
1680C4⋊C4C22×D414yes—
1681C4⋊C4C22×D418yes—
1682C4⋊C4C22×D418yes—
1683C22⋊C4—24no—
1684C22⋊C4—22no—
1685C22⋊C4—24no—
1686C22⋊C4—22no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—28no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—22no—
1693C22⋊C4—24no—
1694C22⋊C4—22no—
1695C22⋊C4—28no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—22no—
1699C22⋊C4—24no—
1700C22⋊C4—28no—
1701C22⋊C4—22no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—28no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—28no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—28no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—28no—
1716C22⋊C4—28no—
1717C22⋊C4—28no—
1718C22⋊C4—24no—
1719C22⋊C4—44no—
1720C22⋊C4—44no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—44no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—44no—
1728C22⋊C4—44no—
1729C22⋊C4—44no—
1730C22⋊C4—44no—
1731C22⋊C4—42no—
1732C22⋊C4—44no—
1733C22⋊C4—44no—
1734C22⋊C4—42no—
1735C22⋊C4—44no—
1736C22⋊C4—42no—
1737C22⋊C4—44no—
1738C22⋊C4—44no—
1739C22⋊C4—42no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—44no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—42no—
1750C22⋊C4—44no—
1751C22⋊C4—44no—
1752C22⋊C4C22×D418yes—
1753C22⋊C4C22×D418yes—
1754C22⋊C4C22×D418yes—
1755C22⋊C4C22×D418yes—
1756C22⋊C4C22×D418yes—
1757C42—22no—
1758C42—22no—
1759C42—24no—
1760C42—22no—
1761C42—22no—
1762C42—24no—
1763C42—24no—
1764C42—22no—
1765C42—24no—
1766C42—24no—
1767C42—22no—
1768C42—28no—
1769C42—24no—
1770C42—24no—
1771C42—44no—
1772C42—44no—
1773C42—44no—
1774C42C22×D414yes—
1775C42C22×D414yes—
1776C42C22×D418yes—
1777C42C22×D414yes—
1778C42C22×D414yes—
1779C23—21no—
1780C23—21no—
1781C23—22no—
1782C23—22no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—22no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—22no—
1791C23—21no—
1792C23—22no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—21no—
1800C23—22no—
1801C23—24no—
1802C23—22no—
1803C23—21no—
1804C23—22no—
1805C23—24no—
1806C23—22no—
1807C23—22no—
1808C23—24no—
1809C23—22no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—21no—
1814C23—22no—
1815C23—24no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—21no—
1820C23—24no—
1821C23—22no—
1822C23—22no—
1823C23—24no—
1824C23—22no—
1825C23—22no—
1826C23—21no—
1827C23—21no—
1828C23—22no—
1829C23—22no—
1830C23—24no—
1831C23—22no—
1832C23—48no—
1833C23—48no—
1834C23—84no—
1835C23—84no—
1836C23—84no—
1837C23—84no—
1838C23—84no—
1839C23C23×D412yes—
1840C23C23×D414yes—
1841C23C2×H(5,𝔽2)12yes—
1842C23C2611yescharacteristic
1843Q8—28no—
1844Q8—28no—
1845Q8—44no—
1846Q8—48no—
1847Q8—84no—
1848Q8—84no—
1849D4—28no—
1850D4—48no—
1851D4—48no—
1852D4—44no—
1853D4—44no—
1854D4—416no—
1855D4—48no—
1856D4—48no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—48no—
1861D4—44no—
1862D4—48no—
1863D4—84no—
1864D4—84no—
1865D4—88no—
1866D4—84no—
1867D4—84no—
1868D4—84no—
1869D4—88no—
1870D4—84no—
1871D4—88no—
1872D4—88no—
1873D4—84no—
1874D4—84no—
1875D4—84no—
1876D4—84no—
1877D4—84no—
1878D4—88no—
1879D4—88no—
1880D4—88no—
1881D4—88no—
1882D4—84no—
1883D4—164no—
1884D4—164no—
1885D4—164no—
1886D4—164no—
1887D4—164no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—216no—
1907C2×C4—28no—
1908C2×C4—28no—
1909C2×C4—28no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—22no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—21no—
1917C2×C4—22no—
1918C2×C4—24no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—24no—
1924C2×C4—24no—
1925C2×C4—22no—
1926C2×C4—24no—
1927C2×C4—24no—
1928C2×C4—22no—
1929C2×C4—24no—
1930C2×C4—21no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—21no—
1944C2×C4—24no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—24no—
1948C2×C4—21no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—24no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—21no—
1958C2×C4—44no—
1959C2×C4—416no—
1960C2×C4—48no—
1961C2×C4—48no—
1962C2×C4—44no—
1963C2×C4—48no—
1964C2×C4—44no—
1965C2×C4—48no—
1966C2×C4—44no—
1967C2×C4—48no—
1968C2×C4—82no—
1969C2×C4—84no—
1970C2×C4—82no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—88no—
1975C2×C4—88no—
1976C2×C4—84no—
1977C2×C4—88no—
1978C2×C4—164no—
1979C2×C4—164no—
1980C2×C4C23×D414yes—
1981C2×C4C23×D412yes—
1982C2×C4C23×D412yes—
1983C2×C4C23×D412yes—
1984C2×C4C23×D414yes—
1985C2×C4C23×D412yes—
1986C2×C4C23×D414yes—
1987C2×C4C23×D412yes—
1988C2×C4C23×D412yes—
1989C2×C4C2×H(5,𝔽2)14yes—
1990C2×C4C2×H(5,𝔽2)12yes—
1991C2×C4C2×H(5,𝔽2)12yes—
1992C2×C4C2×H(5,𝔽2)12yes—
1993C2×C4#58512yes—
1994C2×C4#58512yes—
1995C22—24no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—24no—
2000C22—22no—
2001C22—24no—
2002C22—22no—
2003C22—22no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—42no—
2008C22—41no—
2009C22—42no—
2010C22—41no—
2011C22—41no—
2012C22—42no—
2013C22—41no—
2014C22—42no—
2015C22—41no—
2016C22—42no—
2017C22—42no—
2018C22—44no—
2019C22—42no—
2020C22—41no—
2021C22—42no—
2022C22—41no—
2023C22—42no—
2024C22—44no—
2025C22—42no—
2026C22—42no—
2027C22—41no—
2028C22—42no—
2029C22—44no—
2030C22—42no—
2031C22—44no—
2032C22—41no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—44no—
2038C22—42no—
2039C22—41no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—44no—
2044C22—41no—
2045C22—42no—
2046C22—41no—
2047C22—42no—
2048C22—42no—
2049C22—44no—
2050C22—42no—
2051C22—816no—
2052C22C24×D411yescharacteristic
2053C22C22×H(5,𝔽2)11yescharacteristic
2054C22C22×H(5,𝔽2)11yescharacteristic
2055C22C2×#58511yescharacteristic
2056C22C2×#58511yescharacteristic
2057C22H(7,𝔽2)11yescharacteristic
2058C222−1+611yescharacteristic
2059C4—24no—
2060C4—22no—
2061C4—22no—
2062C4—22no—
2063C4—24no—
2064C4—24no—
2065C4—22no—
2066C4—22no—
2067C4—24no—
2068C4—41no—
2069C4—42no—
2070C4—42no—
2071C4—41no—
2072C4—41no—
2073C4—42no—
2074C4—44no—
2075C4—41no—
2076C4—42no—
2077C4—41no—
2078C4—42no—
2079C4—44no—
2080C4—44no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4#348814yes—
2085C4#348814yes—
2086C2—42no—
2087C2—44no—
2088C2—42no—
2089C2—82no—
2090C2—82no—
2091C2—81no—
2092C2—84no—
2093C2—82no—
2094C2C2×#348811yescharacteristic
2095C2C2×#348811yescharacteristic
2096C2#6285311yescharacteristic
2097C2#6291611yescharacteristic
2098C2#6292211yescharacteristic
2099C2#6292511yescharacteristic
2100C2#6293711yescharacteristic
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×#3517C2semidirect
2. C2×#3460C2semidirect
3. #51318C2semidirect
4. #50640C2semidirect
5. #47457C2semidirect
6. #46378C2semidirect
7. #44987C2semidirect
8. #44889C2semidirect
9. #44886C2semidirect
10. #44884C2semidirect
11. #39471C2semidirect
12. #39462C2semidirect
13. #39341C2semidirect
14. #39341C2semidirect
15. #39138C2semidirect
16. #39127C2semidirect
17. #37836C2semidirect
18. #37775C2semidirect
19. #37759C2semidirect
20. #37699C2semidirect
21. #37681C2semidirect
22. #37657C2semidirect
23. #37618C2semidirect
24. #37276C2semidirect
25. #37270C2semidirect
26. #36505C2semidirect
27. #36455C2semidirect
28. #36153C2semidirect
29. #36101C2semidirect
30. #35521C2semidirect
31. #35518C2semidirect
32. #35273C2semidirect
33. #35273C2semidirect
34. #34909C2semidirect
35. #34384C2semidirect
37. C2×#557C22semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
46. C2×#547C22semidirect
56. C2×#540C22semidirect
57. C2×#540C22semidirect
62. C2×#537C22semidirect
63. C2×#537C22semidirect
70. C2×#532C22semidirect
74. C2×#529C22semidirect
78. C2×#520C22semidirect
81. C2×C4×#41C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
88. #2856C22semidirect
89. #2856C22semidirect
90. #2851C22semidirect
93. #2815C22semidirect
94. #2725C22semidirect
95. #2716C22semidirect
96. #2714C22semidirect
97. #2714C22semidirect
98. #2710C22semidirect
99. #2707C22semidirect
100. #2707C22semidirect
101. #2705C22semidirect
102. #2705C22semidirect
103. #2703C22semidirect
104. #2703C22semidirect
105. #2703C22semidirect
108. #2696C22semidirect
109. #2693C22semidirect
110. #2691C22semidirect
111. #2688C22semidirect
112. #2682C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
116. #2676C22semidirect
117. #2676C22semidirect
118. #2676C22semidirect
121. #2675C22semidirect
122. #2675C22semidirect
125. #2673C22semidirect
126. #2673C22semidirect
127. #2673C22semidirect
129. #2671C22semidirect
135. #2640C22semidirect
136. #2631C22semidirect
137. #2629C22semidirect
139. #2620C22semidirect
140. #2620C22semidirect
141. #2619C22semidirect
142. #2615C22semidirect
143. #2615C22semidirect
144. #2615C22semidirect
145. #2615C22semidirect
147. #2600C22semidirect
148. #2599C22semidirect
150. #2581C22semidirect
151. #2580C22semidirect
153. #2562C22semidirect
154. #2557C22semidirect
156. #2547C22semidirect
158. #2543C22semidirect
164. #2541C22semidirect
165. #2541C22semidirect
166. #2540C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
170. #2538C22semidirect
171. #2538C22semidirect
172. #2538C22semidirect
177. #2537C22semidirect
178. #2537C22semidirect
182. #2535C22semidirect
183. #2535C22semidirect
184. #2535C22semidirect
185. #2492C22semidirect
186. #2490C22semidirect
187. #2487C22semidirect
190. #2485C22semidirect
191. #2481C22semidirect
192. #2475C22semidirect
193. #2475C22semidirect
194. #2471C22semidirect
195. #2466C22semidirect
196. #2464C22semidirect
197. #2464C22semidirect
201. #2459C22semidirect
202. #2457C22semidirect
206. #2456C22semidirect
207. #2453C22semidirect
208. #2452C22semidirect
209. #2452C22semidirect
210. #2450C22semidirect
211. #2449C22semidirect
212. #2446C22semidirect
219. #2431C22semidirect
220. #2429C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
231. #2425C22semidirect
232. #2425C22semidirect
239. #2417C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
255. #2414C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
262. #2407C22semidirect
263. #2395C22semidirect
265. #2383C22semidirect
266. #2367C22semidirect
271. #2360C22semidirect
272. #2355C22semidirect
274. #2352C22semidirect
275. Q8×C4⋊C4C22semidirect
277. D4×C4⋊C4C22semidirect
278. #2341C22semidirect
280. #2330C22semidirect
282. #2324C22semidirect
283. #2323C22semidirect
284. #2322C22semidirect
285. #2317C22semidirect
286. #2314C22semidirect
287. #2311C22semidirect
288. #2311C22semidirect
289. #2311C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
294. C4×#121C22semidirect
295. C4×#121C22semidirect
297. #2290C22semidirect
298. C2×#384C22semidirect
299. #2283C22semidirect
364. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34602
#513182
#506402
#474572
#463782
#449872
#448892
#448862
#448842
#394712
#394622
#393412
#391382
#391272
#378362
#377752
#377592
#376992
#376812
#376572
#376182
#372762
#372702
#365052
#364552
#361532
#361012
#355212
#355182
#352732
#349092
#343842