Finite Group Databasebeta

← #7652439

Subgroups — #7652439

Order 512.

7055 conjugacy classes of subgroups.

The subgroup lattice has 1958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic, complemented
2C2×#3495C211yesmaximal, characteristic, complemented
3#42882C212yesmaximal, complemented
4#42881C212yesmaximal, complemented
5#42877C212yesmaximal, complemented
6#42802C212yesmaximal, complemented
7#42799C212yesmaximal, complemented
8#42798C212yesmaximal, complemented
9#42798C212yesmaximal, complemented
10#42794C212yesmaximal, complemented
11#41984C214yesmaximal, complemented
12#41983C214yesmaximal, complemented
13#39883C212yesmaximal, complemented
14#39883C212yesmaximal, complemented
15#39882C212yesmaximal, complemented
16#39879C212yesmaximal, complemented
17#39726C212yesmaximal, complemented
18#39137C212yesmaximal, complemented
19#39136C212yesmaximal, complemented
20#39126C212yesmaximal, complemented
21#38429C214yesmaximal, complemented
22#38426C214yesmaximal, complemented
23#35677C211yesmaximal, characteristic, complemented
24#35661C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic, complemented
26#35529C211yesmaximal, characteristic, complemented
27#35519C211yesmaximal, characteristic, complemented
28#35514C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic, complemented
33#34739C211yesmaximal, characteristic, complemented
34C2×#2426C211yesmaximal, characteristic, complemented
35#34249C211yesmaximal, characteristic, complemented
36#3510—216no—
37#3495—216no—
38C2×#559C2212yescomplemented
39C2×#559C2212yescomplemented
40C2×#556C2212yescomplemented
41C2×#556C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#554C2212yescomplemented
44C2×#552C2214yes—
45C2×#552C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#551C2214yes—
48C2×#551C2214yes—
49C2×#551C2214yes—
50C2×#544C2211yescharacteristic
51C2×#542C2212yescomplemented
52C2×#542C2212yescomplemented
53C2×#542C2212yescomplemented
54C2×#541C2212yescomplemented
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#535C2211yescharacteristic
58C2×#535C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2212yescomplemented
61C2×#532C2211yescharacteristic
62C2×#529C2212yescomplemented
63C2×#529C2212yescomplemented
64C2×#529C2212yescomplemented
65C22×#124C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×C22⋊Q8C2211yescharacteristic
69C22×#121C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#519C2211yescharacteristic
72C2×#519C2211yescharacteristic
73C2×#518C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×#117C2211yescharacteristic
77#2857C2212yescomplemented
78#2856C2212yes—
79#2854C2214yes—
80#2851C2212yescomplemented
81#2850C2212yes—
82#2823C2214yescomplemented
83#2823C2214yescomplemented
84#2820C2214yescomplemented
85#2819C2214yescomplemented
86#2727C2214yescomplemented
87#2727C2214yescomplemented
88#2725C2214yescomplemented
89#2725C2214yescomplemented
90#2707C2214yescomplemented
91#2707C2214yescomplemented
92#2707C2214yescomplemented
93#2707C2214yescomplemented
94#2705C2214yescomplemented
95#2705C2214yescomplemented
96#2705C2214yescomplemented
97#2705C2214yescomplemented
98#2705C2214yescomplemented
99#2705C2214yescomplemented
100#2704C2214yescomplemented
101#2704C2214yescomplemented
102#2702C2214yescomplemented
103#2702C2214yescomplemented
104#2702C2214yescomplemented
105#2702C2214yescomplemented
106#2683C2214yescomplemented
107#2683C2214yescomplemented
108#2682C2214yescomplemented
109#2682C2214yescomplemented
110#2682C2214yescomplemented
111#2682C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2681C2214yescomplemented
116#2681C2214yescomplemented
117#2681C2214yescomplemented
118#2664C2214yescomplemented
119#2662C2214yescomplemented
120#2662C2214yescomplemented
121#2662C2214yescomplemented
122#2637C2214yescomplemented
123#2636C2214yescomplemented
124#2636C2214yescomplemented
125#2636C2214yescomplemented
126#2629C2214yescomplemented
127#2629C2212yescomplemented
128#2628C2212yescomplemented
129#2620C2212yes—
130#2620C2214yescomplemented
131#2620C2214yescomplemented
132#2620C2214yescomplemented
133#2619C2212yes—
134#2618C2214yes—
135#2609C2214yescomplemented
136#2609C2214yescomplemented
137#2601C2214yescomplemented
138#2601C2214yescomplemented
139#2601C2214yescomplemented
140#2601C2214yescomplemented
141#2592C2214yescomplemented
142#2582C2212yescomplemented
143#2581C2212yescomplemented
144#2580C2212yescomplemented
145#2566C2212yescomplemented
146#2566C2212yescomplemented
147#2563C2212yescomplemented
148#2562C2214yescomplemented
149#2548C2212yescomplemented
150#2548C2212yescomplemented
151#2548C2212yescomplemented
152#2548C2212yescomplemented
153#2546C2212yescomplemented
154#2545C2212yescomplemented
155#2545C2212yescomplemented
156#2545C2212yescomplemented
157#2545C2212yescomplemented
158#2545C2212yescomplemented
159#2544C2212yescomplemented
160#2542C2212yescomplemented
161#2541C2212yescomplemented
162#2540C2214yescomplemented
163#2540C2214yescomplemented
164#2538C2214yescomplemented
165#2538C2212yescomplemented
166#2538C2212yescomplemented
167#2538C2212yescomplemented
168#2538C2212yescomplemented
169#2538C2212yescomplemented
170#2537C2212yes—
171#2537C2212yes—
172#2537C2214yescomplemented
173#2536C2212yescomplemented
174#2536C2212yescomplemented
175#2536C2212yescomplemented
176#2536C2212yescomplemented
177#2535C2212yes—
178#2535C2212yes—
179#2454C2212yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2453C2212yescomplemented
183#2452C2212yescomplemented
184#2452C2212yescomplemented
185#2452C2212yescomplemented
186#2451C2212yescomplemented
187#2450C2214yes—
188#2450C2214yes—
189#2449C2214yes—
190#2449C2214yes—
191#2442C2211yescharacteristic, complemented
192#2442C2211yescharacteristic, complemented
193#2442C2212yescomplemented
194#2441C2211yescharacteristic, complemented
195#2441C2211yescharacteristic, complemented
196#2441C2212yescomplemented
197#2440C2211yescharacteristic, complemented
198#2440C2212yescomplemented
199#2440C2211yescharacteristic, complemented
200#2439C2211yescharacteristic, complemented
201#2439C2212yescomplemented
202#2439C2211yescharacteristic, complemented
203#2438C2212yes—
204#2438C2212yes—
205#2437C2214yes—
206#2437C2212yes—
207#2437C2214yes—
208#2437C2212yes—
209#2429C2212yescomplemented
210#2429C2211yescharacteristic, complemented
211#2429C2212yescomplemented
212#2429C2211yescharacteristic, complemented
213#2428C2212yes—
214#2428C2212yes—
215#2428C2211yescharacteristic, complemented
216#2428C2211yescharacteristic, complemented
217#2427C2212yes—
218#2427C2212yes—
219#2427C2211yescharacteristic, complemented
220#2427C2211yescharacteristic, complemented
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2426C2212yes—
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2211yescharacteristic, complemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2211yescharacteristic, complemented
237#2425C2212yes—
238#2425C2212yes—
239#2424C2214yes—
240#2424C2212yes—
241#2424C2214yes—
242#2424C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2413C2214yes—
252#2412C2214yes—
253#2411C2214yes—
254#2411C2214yes—
255#2411C2214yes—
256#2411C2214yes—
257#2410C2214yes—
258#2410C2214yes—
259#2396C2212yescomplemented
260#2396C2212yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263C2×#396C2212yes—
264C2×#394C2212yes—
265#2351C2212yescomplemented
266#2351C2212yescomplemented
267#2351C2212yescomplemented
268#2351C2212yescomplemented
269Q8×C4⋊C4C2212yescomplemented
270Q8×C4⋊C4C2212yescomplemented
271Q8×C4⋊C4C2212yescomplemented
272Q8×C4⋊C4C2212yescomplemented
273#2324C2214yescomplemented
274#2324C2214yescomplemented
275#2324C2214yescomplemented
276#2323C2214yescomplemented
277#2317C2214yes—
278#2317C2211yescharacteristic
279#2317C2211yescharacteristic
280#2317C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2309C2211yescharacteristic
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2297C2211yescharacteristic
290#2296C2214yes—
291#2296C2211yescharacteristic
292#2296C2211yescharacteristic
293#2296C2211yescharacteristic
294C2×#390C2212yes—
295C2×#390C2211yescharacteristic
296C2×#389C2211yescharacteristic
297C2×#388C2212yes—
298#2285C2211yescharacteristic
299#2280C2211yescharacteristic
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×D4C2311yescharacteristic
305C23×D4C2312yes—
306C24×C4C2311yescharacteristic
307#559—216no—
308#559—216no—
309#556—216no—
310#556—216no—
311#556—216no—
312#554—216no—
313#552—216no—
314#552—216no—
315#552—232no—
316#551—232no—
317#551—232no—
318#551—232no—
319#544—28no—
320#542—216no—
321#542—216no—
322#542—216no—
323#541—216no—
324#536—28no—
325#536—28no—
326#535—28no—
327#535—44no—
328#533—216no—
329#533—28no—
330#532—44no—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×#127C2312yes—
339C2×#127C2311yescharacteristic
340C2×#127C2312yes—
341#529—216no—
342#529—216no—
343#529—216no—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#125C2311yescharacteristic
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#124—28no—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373#525—28no—
374#525—44no—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×C22⋊Q8—28no—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×#121—44no—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#120C2312yes—
435C2×#120C2314yes—
436C2×#120C2312yes—
437C2×#120C2314yes—
438#520—28no—
439#519—44no—
440#519D4116yescomplemented
441#518—28no—
442C4×#41—28no—
443C2×C4×Q8—44no—
444C2×C4×Q8C2314yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×#117—28no—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2314yes—
487C2×#117C2314yes—
488C2×#117C2314yes—
489C2×#117C2314yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2314yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2311yescharacteristic
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2311yescharacteristic
522C22×C42C2312yes—
523#400C2312yes—
524#400C2314yes—
525#400C2314yes—
526#400C2312yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2312yes—
531#399C2312yes—
532#399C2314yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2312yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#397C2312yes—
548#397C2314yes—
549#397C2312yes—
550#397C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2312yes—
560#396C2312yes—
561#396C2312yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2312yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2312yes—
587#395C2312yes—
588#395C2314yes—
589#395C2314yes—
590#395C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#393C2314yes—
622#393C2314yes—
623#393C2312yes—
624#393C2314yes—
625#393C2314yes—
626#393C2312yes—
627#392C2312yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2312yes—
634#392C2314yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2314yes—
639#391C2311yescharacteristic
640#391C2311yescharacteristic
641#391C2314yes—
642#391C2312yes—
643#391C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2314yes—
660#390C2314yes—
661#390C2311yescharacteristic
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2312yes—
673#390C2312yes—
674#390C2311yescharacteristic
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2314yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#389C2314yes—
690#389C2314yes—
691#389C2312yes—
692#389C2312yes—
693#389C2311yescharacteristic
694#389C2312yes—
695#389C2314yes—
696#389C2314yes—
697#389C2311yescharacteristic
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2314yes—
701#389C2311yescharacteristic
702#389C2314yes—
703#389C2311yescharacteristic
704#389C2311yescharacteristic
705#389C2311yescharacteristic
706#389C2314yes—
707#389C2311yescharacteristic
708#389C2311yescharacteristic
709#389C2314yes—
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2312yes—
713#389C2311yescharacteristic
714#389C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2312yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#388C2312yes—
737#388C2314yes—
738#388C2314yes—
739#387C2312yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2312yes—
745#387C2312yes—
746#387C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2312yes—
779#385C2312yes—
780#385C2312yes—
781#385C2312yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#384C2311yescharacteristic
786#384C2312yes—
787#384C2314yes—
788#384C2314yes—
789#384C2312yes—
790#384C2312yes—
791#384C2311yescharacteristic
792#382C2311yescharacteristic
793#382C2312yes—
794#382C2314yes—
795#382C2314yes—
796#382C2311yescharacteristic
797#382C2312yes—
798#382C2312yes—
799#381C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2314yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#379C2314yes—
823#379C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C2×#95C2312yes—
849C2×#95C2311yescharacteristic
850C2×#95C2311yescharacteristic
851C25C2411yescharacteristic
852C25C2412yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C22×Q8—24no—
860C22×Q8—24no—
861C22×Q8C2×D418yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×Q8C2412yes—
869C22×D4—24no—
870C22×D4—24no—
871C22×D4—24no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—82no—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—28no—
924C4⋊Q8—42no—
925#127—28no—
926#127—42no—
927#127—44no—
928#126—216no—
929#126—216no—
930#126—216no—
931#126—216no—
932#126—216no—
933#126—216no—
934#126—216no—
935#126—216no—
936#125—24no—
937#125—24no—
938#125—28no—
939#125—216no—
940#125—216no—
941#125—216no—
942#125—28no—
943#124—28no—
944#124—28no—
945#124—28no—
946#124—28no—
947#124—28no—
948#124—28no—
949#124—28no—
950#124—216no—
951#124—216no—
952#124—216no—
953#124—42no—
954#124—42no—
955#124—44no—
956#123—216no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—216no—
962#123—216no—
963#123—216no—
964#123—28no—
965#123—44no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—28no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—24no—
975C22⋊Q8—24no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—216no—
979C22⋊Q8—216no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—216no—
983C22⋊Q8—44no—
984C22⋊Q8—48no—
985C22⋊Q8—44no—
986C22⋊Q8—42no—
987C22⋊Q8—42no—
988C22⋊Q8—84no—
989C22⋊Q8—84no—
990C22⋊Q8—84no—
991#121—24no—
992#121—24no—
993#121—28no—
994#121—28no—
995#121—44no—
996#121—48no—
997#121—44no—
998#121—48no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—42no—
1004#121—42no—
1005#121—44no—
1006#121—44no—
1007#121—48no—
1008#121—44no—
1009#121—44no—
1010#121—84no—
1011#121—84no—
1012#121—84no—
1013#120—28no—
1014#120—216no—
1015#120—44no—
1016#120—48no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—216no—
1021C4×Q8—28no—
1022C4×Q8—28no—
1023C4×Q8—44no—
1024C4×Q8—44no—
1025C4×Q8—44no—
1026C4×Q8—44no—
1027C4×Q8—44no—
1028C4×Q8—44no—
1029C4×Q8—44no—
1030C4×Q8—44no—
1031C4×Q8C2×D4116yescomplemented
1032C4×Q8C2×D4116yescomplemented
1033C4×Q8C2×D4116yescomplemented
1034C4×Q8C2×D4116yescomplemented
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—216no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—216no—
1048C4×D4—216no—
1049C4×D4—216no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054#117—24no—
1055#117—24no—
1056#117—24no—
1057#117—24no—
1058#117—24no—
1059#117—24no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064#117—216no—
1065#117—216no—
1066#117—216no—
1067#117—216no—
1068#117—48no—
1069#117C2×D418yes—
1070#117C2×D418yes—
1071#117C2×D4132yes—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4—24no—
1075C2×C4⋊C4—24no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—44no—
1079C2×C4⋊C4—82no—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—216no—
1157C2×C22⋊C4—42no—
1158C2×C22⋊C4—44no—
1159C2×C22⋊C4—42no—
1160C2×C22⋊C4—44no—
1161C2×C22⋊C4—82no—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C42—24no—
1234C2×C42—24no—
1235C2×C42—28no—
1236C2×C42—28no—
1237C2×C42—44no—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—22no—
1310C24—22no—
1311C24—22no—
1312C24—22no—
1313C24—24no—
1314C24—24no—
1315C24—24no—
1316C24—41no—
1317C24—41no—
1318C24—41no—
1319C24—42no—
1320C24—42no—
1321C24—42no—
1322C24—42no—
1323C24C2511yescharacteristic
1324C24C2514yes—
1325C24C2512yes—
1326C24C2512yes—
1327C24C2511yescharacteristic
1328C24C2511yescharacteristic
1329#41—416no—
1330#41—416no—
1331C2×Q8—232no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—28no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—42no—
1346C2×Q8—44no—
1347C2×Q8—42no—
1348C2×Q8—42no—
1349C2×Q8—44no—
1350C2×Q8—42no—
1351C2×Q8C22×D418yes—
1352C2×Q8C22×D418yes—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—416no—
1408C2×D4—816no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—28no—
1446C22×C4—28no—
1447C22×C4—42no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—42no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—42no—
1457C22×C4—41no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—44no—
1469C22×C4—42no—
1470C22×C4—41no—
1471C22×C4—416no—
1472C22×C4C22×D418yes—
1473C22×C4C22×D414yes—
1474C22×C4H(5,𝔽2)14yes—
1475C22×C42−1+414yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2514yes—
1483C22×C4C2512yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2514yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2514yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D414yes—
1573C4⋊C4C22×D414yes—
1574C4⋊C4C22×D414yes—
1575C4⋊C4C22×D4116yes—
1576C4⋊C4C22×D4116yes—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—22no—
1608C22⋊C4—28no—
1609C22⋊C4—22no—
1610C22⋊C4—41no—
1611C22⋊C4—41no—
1612C22⋊C4—44no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4C22×D418yes—
1647C22⋊C4C22×D418yes—
1648C42—22no—
1649C42—24no—
1650C42—24no—
1651C42—24no—
1652C42—24no—
1653C42—22no—
1654C42—24no—
1655C42—22no—
1656C42—22no—
1657C42—28no—
1658C42—24no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—24no—
1664C42—24no—
1665C42—44no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C42C22×D418yes—
1670C42C22×D418yes—
1671C42C22×D4116yes—
1672C42C22×D4116yes—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—22no—
1685C23—24no—
1686C23—22no—
1687C23—22no—
1688C23—24no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—22no—
1693C23—22no—
1694C23—24no—
1695C23—24no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—21no—
1701C23—22no—
1702C23—24no—
1703C23—22no—
1704C23—22no—
1705C23—24no—
1706C23—21no—
1707C23—21no—
1708C23—24no—
1709C23—22no—
1710C23—22no—
1711C23—44no—
1712C23—44no—
1713C23—44no—
1714C23—44no—
1715C23—48no—
1716C23—82no—
1717C23—82no—
1718C23—82no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—84no—
1724C23—84no—
1725C23C23×D412yes—
1726C23C2×H(5,𝔽2)12yes—
1727C23C2×2−1+412yes—
1728C23#58512yes—
1729C23C2611yescharacteristic
1730Q8—216no—
1731Q8—216no—
1732Q8—44no—
1733Q8—44no—
1734Q8—84no—
1735Q8—84no—
1736Q8—88no—
1737D4—48no—
1738D4—48no—
1739D4—48no—
1740D4—48no—
1741D4—48no—
1742D4—44no—
1743D4—44no—
1744D4—88no—
1745D4—88no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—88no—
1750D4—84no—
1751D4—84no—
1752D4—88no—
1753D4—164no—
1754D4—164no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—216no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—48no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—84no—
1842C2×C4—88no—
1843C2×C4—88no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—88no—
1847C2×C4—82no—
1848C2×C4—82no—
1849C2×C4—84no—
1850C2×C4—82no—
1851C2×C4#537116yes—
1852C2×C4C23×D414yes—
1853C2×C4C23×D414yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D414yes—
1856C2×C4C23×D418yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D412yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×2−1+412yes—
1862C2×C4C2×2−1+412yes—
1863C2×C4#58512yes—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—42no—
1878C22—44no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—44no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—44no—
1889C22—42no—
1890C22—42no—
1891C22—41no—
1892C22—44no—
1893C22—41no—
1894C22—44no—
1895C22—42no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—42no—
1900C22—44no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—44no—
1905C22—88no—
1906C22—168no—
1907C22C2×#53714yes—
1908C22C24×D411yescharacteristic
1909C22C22×H(5,𝔽2)11yescharacteristic
1910C22C22×2−1+411yescharacteristic
1911C22C2×#58511yescharacteristic
1912C22C2×#58511yescharacteristic
1913C22H(7,𝔽2)11yescharacteristic
1914C222−1+611yescharacteristic
1915C4—24no—
1916C4—24no—
1917C4—24no—
1918C4—24no—
1919C4—28no—
1920C4—22no—
1921C4—42no—
1922C4—41no—
1923C4—42no—
1924C4—41no—
1925C4—41no—
1926C4—42no—
1927C4—44no—
1928C4—41no—
1929C4—42no—
1930C4—44no—
1931C4—41no—
1932C4—41no—
1933C4—42no—
1934C4—42no—
1935C4—41no—
1936C4—41no—
1937C4—42no—
1938C4—42no—
1939C4—41no—
1940C4—42no—
1941C4—42no—
1942C4C2×#53714yes—
1943C4C2×#53714yes—
1944C2—24no—
1945C2—42no—
1946C2—82no—
1947C2—82no—
1948C2—81no—
1949C2—84no—
1950C2C22×#53711yescharacteristic
1951C2#6283111yescharacteristic
1952C2#6287911yescharacteristic
1953C2#6292411yescharacteristic
1954C2#6295411yescharacteristic
1955C2#6300211yescharacteristic
1956C2#6300311yescharacteristic
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×#3510C2semidirect
2. C2×#3495C2semidirect
3. #42882C2semidirect
4. #42881C2semidirect
5. #42877C2semidirect
6. #42802C2semidirect
7. #42799C2semidirect
8. #42798C2semidirect
9. #42798C2semidirect
10. #42794C2semidirect
11. #41984C2semidirect
12. #41983C2semidirect
13. #39883C2semidirect
14. #39883C2semidirect
15. #39882C2semidirect
16. #39879C2semidirect
17. #39726C2semidirect
18. #39137C2semidirect
19. #39136C2semidirect
20. #39126C2semidirect
21. #38429C2semidirect
22. #38426C2semidirect
23. #35677C2semidirect
24. #35661C2semidirect
25. #35533C2semidirect
26. #35529C2semidirect
27. #35519C2semidirect
28. #35514C2semidirect
29. #35257C2semidirect
30. #35252C2semidirect
31. #35178C2semidirect
32. #34743C2semidirect
33. #34739C2semidirect
34. C2×#2426C2semidirect
35. #34249C2semidirect
38. C2×#559C22semidirect
39. C2×#559C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
43. C2×#554C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
51. C2×#542C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
54. C2×#541C22semidirect
60. C2×#533C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
77. #2857C22semidirect
80. #2851C22semidirect
82. #2823C22semidirect
83. #2823C22semidirect
84. #2820C22semidirect
85. #2819C22semidirect
86. #2727C22semidirect
87. #2727C22semidirect
88. #2725C22semidirect
89. #2725C22semidirect
90. #2707C22semidirect
91. #2707C22semidirect
92. #2707C22semidirect
93. #2707C22semidirect
94. #2705C22semidirect
95. #2705C22semidirect
96. #2705C22semidirect
97. #2705C22semidirect
98. #2705C22semidirect
99. #2705C22semidirect
100. #2704C22semidirect
101. #2704C22semidirect
102. #2702C22semidirect
103. #2702C22semidirect
104. #2702C22semidirect
105. #2702C22semidirect
106. #2683C22semidirect
107. #2683C22semidirect
108. #2682C22semidirect
109. #2682C22semidirect
110. #2682C22semidirect
111. #2682C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2681C22semidirect
116. #2681C22semidirect
117. #2681C22semidirect
118. #2664C22semidirect
119. #2662C22semidirect
120. #2662C22semidirect
121. #2662C22semidirect
122. #2637C22semidirect
123. #2636C22semidirect
124. #2636C22semidirect
125. #2636C22semidirect
126. #2629C22semidirect
127. #2629C22semidirect
128. #2628C22semidirect
130. #2620C22semidirect
131. #2620C22semidirect
132. #2620C22semidirect
135. #2609C22semidirect
136. #2609C22semidirect
137. #2601C22semidirect
138. #2601C22semidirect
139. #2601C22semidirect
140. #2601C22semidirect
141. #2592C22semidirect
142. #2582C22semidirect
143. #2581C22semidirect
144. #2580C22semidirect
145. #2566C22semidirect
146. #2566C22semidirect
147. #2563C22semidirect
148. #2562C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
153. #2546C22semidirect
154. #2545C22semidirect
155. #2545C22semidirect
156. #2545C22semidirect
157. #2545C22semidirect
158. #2545C22semidirect
159. #2544C22semidirect
160. #2542C22semidirect
161. #2541C22semidirect
162. #2540C22semidirect
163. #2540C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
172. #2537C22semidirect
173. #2536C22semidirect
174. #2536C22semidirect
175. #2536C22semidirect
176. #2536C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2453C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2451C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
200. #2439C22semidirect
201. #2439C22semidirect
202. #2439C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
212. #2429C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
259. #2396C22semidirect
260. #2396C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
265. #2351C22semidirect
266. #2351C22semidirect
267. #2351C22semidirect
268. #2351C22semidirect
269. Q8×C4⋊C4C22semidirect
270. Q8×C4⋊C4C22semidirect
271. Q8×C4⋊C4C22semidirect
272. Q8×C4⋊C4C22semidirect
273. #2324C22semidirect
274. #2324C22semidirect
275. #2324C22semidirect
276. #2323C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
440. #519D4semidirect
1031. C4×Q8C2×D4semidirect
1032. C4×Q8C2×D4semidirect
1033. C4×Q8C2×D4semidirect
1034. C4×Q8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#34952
#428822
#428812
#428772
#428022
#427992
#427982
#427942
#419842
#419832
#398832
#398822
#398792
#397262
#391372
#391362
#391262
#384292
#384262
#356772
#356612
#355332
#355292
#355192
#355142
#352572
#352522
#351782
#347432
#347392
C2×#24262
#342492