Finite Group Databasebeta

← #7650109

Subgroups — #7650109

Order 512.

7657 conjugacy classes of subgroups.

The subgroup lattice has 2071 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic, complemented
3#42970C212yesmaximal, complemented
4#42952C212yesmaximal, complemented
5#42798C212yesmaximal, complemented
6#42794C212yesmaximal, complemented
7#42477C212yesmaximal, complemented
8#42476C212yesmaximal, complemented
9#42445C212yesmaximal, complemented
10#42424C212yesmaximal, complemented
11#40519C214yesmaximal, complemented
12#40492C214yesmaximal, complemented
13#39962C212yesmaximal, complemented
14#39958C212yesmaximal, complemented
15#39883C212yesmaximal, complemented
16#39852C212yesmaximal, complemented
17#39359C212yesmaximal, complemented
18#39340C212yesmaximal, complemented
19#39165C212yesmaximal, complemented
20#39126C212yesmaximal, complemented
21#38356C214yesmaximal, complemented
22#37648C214yesmaximal, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35563C211yesmaximal, characteristic, complemented
25#35563C211yesmaximal, characteristic, complemented
26#35529C211yesmaximal, characteristic, complemented
27#35518C211yesmaximal, characteristic, complemented
28#35514C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35224C211yesmaximal, characteristic, complemented
32#34935C211yesmaximal, characteristic, complemented
33#34737C211yesmaximal, characteristic, complemented
34C2×#2416C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36#3494—216no—
37#3492—216no—
38C2×#555C2212yescomplemented
39C2×#554C2212yescomplemented
40C2×#554C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#551C2214yes—
48C2×#547C2212yescomplemented
49C2×#547C2212yescomplemented
50C2×#547C2212yescomplemented
51C2×#546C2214yes—
52C2×#544C2211yescharacteristic
53C2×#544C2211yescharacteristic
54C2×#542C2212yescomplemented
55C2×#540C2212yescomplemented
56C2×#539C2214yes—
57C2×#537C2211yescharacteristic
58C2×#537C2214yescomplemented
59C2×#535C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#532C2212yescomplemented
62C2×#529C2212yescomplemented
63C2×#525C2214yes—
64C2×#525C2211yescharacteristic
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C22×#121C2211yescharacteristic
69C22×#121C2212yes—
70C22×#121C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×#518C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×#117C2211yescharacteristic
78C23×C4⋊C4C2211yescharacteristic
79#2857C2212yescomplemented
80#2856C2212yescomplemented
81#2851C2212yescomplemented
82#2850C2212yescomplemented
83#2848C2214yes—
84#2823C2214yescomplemented
85#2820C2214yescomplemented
86#2814C2214yescomplemented
87#2813C2214yescomplemented
88#2725C2214yescomplemented
89#2715C2214yescomplemented
90#2707C2214yescomplemented
91#2707C2214yescomplemented
92#2705C2214yescomplemented
93#2704C2214yescomplemented
94#2702C2214yescomplemented
95#2702C2214yescomplemented
96#2695C2214yescomplemented
97#2693C2214yescomplemented
98#2693C2214yescomplemented
99#2691C2214yescomplemented
100#2691C2214yescomplemented
101#2683C2214yescomplemented
102#2683C2214yescomplemented
103#2682C2214yescomplemented
104#2682C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2676C2214yescomplemented
111#2675C2214yescomplemented
112#2675C2214yescomplemented
113#2672C2214yescomplemented
114#2672C2214yescomplemented
115#2671C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2664C2214yescomplemented
121#2662C2214yescomplemented
122#2639C2214yescomplemented
123#2636C2214yescomplemented
124#2636C2214yescomplemented
125#2630C2214yescomplemented
126#2630C2214yescomplemented
127#2629C2212yescomplemented
128#2629C2214yescomplemented
129#2628C2212yescomplemented
130#2627C2214yes—
131#2620C2214yescomplemented
132#2620C2212yescomplemented
133#2619C2212yescomplemented
134#2618C2214yescomplemented
135#2616C2214yescomplemented
136#2615C2214yescomplemented
137#2609C2214yescomplemented
138#2601C2214yescomplemented
139#2601C2214yescomplemented
140#2566C2212yescomplemented
141#2566C2212yescomplemented
142#2564C2214yes—
143#2563C2212yescomplemented
144#2562C2214yescomplemented
145#2542C2212yescomplemented
146#2540C2214yescomplemented
147#2538C2211yescharacteristic, complemented
148#2538C2212yescomplemented
149#2538C2211yescharacteristic, complemented
150#2537C2214yescomplemented
151#2537C2212yescomplemented
152#2537C2211yescharacteristic, complemented
153#2537C2211yescharacteristic, complemented
154#2537C2212yescomplemented
155#2537C2212yescomplemented
156#2536C2211yescharacteristic, complemented
157#2536C2211yescharacteristic, complemented
158#2536C2212yescomplemented
159#2535C2212yescomplemented
160#2535C2211yescharacteristic, complemented
161#2535C2211yescharacteristic, complemented
162#2535C2212yescomplemented
163#2535C2212yescomplemented
164#2534C2212yes—
165#2534C2214yes—
166#2534C2214yes—
167#2534C2212yes—
168#2486C2212yes—
169#2454C2212yescomplemented
170#2454C2212yescomplemented
171#2454C2212yescomplemented
172#2453C2212yescomplemented
173#2452C2212yescomplemented
174#2452C2212yescomplemented
175#2452C2212yescomplemented
176#2451C2212yescomplemented
177#2442C2212yescomplemented
178#2442C2212yescomplemented
179#2442C2212yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2442C2212yescomplemented
183#2441C2212yescomplemented
184#2441C2212yescomplemented
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2440C2212yescomplemented
188#2440C2212yescomplemented
189#2440C2212yescomplemented
190#2440C2212yescomplemented
191#2439C2212yescomplemented
192#2439C2212yescomplemented
193#2438C2214yes—
194#2437C2214yes—
195#2437C2214yes—
196#2437C2214yes—
197#2430C2214yescomplemented
198#2430C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2427C2212yescomplemented
208#2427C2212yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2426C2212yescomplemented
215#2425C2214yes—
216#2424C2214yes—
217#2424C2214yes—
218#2424C2214yes—
219#2417C2214yes—
220#2417C2211yescharacteristic, complemented
221#2417C2214yescomplemented
222#2417C2211yescharacteristic, complemented
223#2417C2212yescomplemented
224#2416C2212yes—
225#2416C2212yes—
226#2416C2212yes—
227#2416C2212yes—
228#2416C2212yes—
229#2416C2212yes—
230#2416C2212yes—
231#2416C2212yes—
232#2416C2214yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2416C2211yescharacteristic, complemented
236#2416C2211yescharacteristic, complemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2415C2212yescomplemented
241#2415C2211yescharacteristic, complemented
242#2415C2211yescharacteristic, complemented
243#2414C2211yescharacteristic, complemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2414C2211yescharacteristic, complemented
250#2413C2212yes—
251#2412C2212yes—
252#2412C2214yes—
253#2411C2212yes—
254#2410C2212yes—
255#2410C2214yes—
256#2408C2212yes—
257#2408C2214yes—
258#2408C2214yes—
259#2407C2214yescomplemented
260#2407C2214yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2392C2212yescomplemented
264#2392C2212yescomplemented
265C2×#396C2212yes—
266C2×#394C2212yes—
267#2351C2212yescomplemented
268Q8×C4⋊C4C2212yescomplemented
269#2349C2214yes—
270#2349C2212yescomplemented
271D4×C4⋊C4C2214yes—
272D4×C4⋊C4C2212yescomplemented
273#2325C2214yescomplemented
274#2324C2214yescomplemented
275#2324C2214yescomplemented
276#2317C2211yescharacteristic
277#2317C2211yescharacteristic
278#2317C2211yescharacteristic
279#2317C2212yescomplemented
280#2316C2211yescharacteristic
281#2316C2211yescharacteristic
282#2316C2212yescomplemented
283#2311C2211yescharacteristic
284#2309C2211yescharacteristic
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291#2296C2212yescomplemented
292C2×#390C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2212yescomplemented
295C2×#386C2212yes—
296#2285C2211yescharacteristic
297#2280C2211yescharacteristic
298#2280C2211yescharacteristic
299#2280C2211yescharacteristic
300C2×#380C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2314yes—
304C22×#41C2314yes—
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311C24×C4C2312yes—
312#555—216no—
313#554—216no—
314#554—216no—
315#553—216no—
316#553—216no—
317#553—216no—
318#553—216no—
319#552—216no—
320#552—216no—
321#551—232no—
322#547—216no—
323#547—216no—
324#547—216no—
325#546—232no—
326#544—28no—
327#544—28no—
328#542—216no—
329#540—216no—
330#539—232no—
331#537—28no—
332#537—416no—
333#535—28no—
334#535—44no—
335#532—216no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342#529—216no—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#125C2314yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#124C2314yes—
354C2×#124C2312yes—
355C2×#124C2314yes—
356C2×#124C2312yes—
357#525—28no—
358#525—28no—
359#525—232no—
360#525—28no—
361#525—44no—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2312yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2312yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2311yescharacteristic
378C2×C22⋊Q8C2311yescharacteristic
379C2×C22⋊Q8C2311yescharacteristic
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×#121—28no—
397C2×#121—44no—
398C2×#121—48no—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2311yescharacteristic
412C2×#121C2314yes—
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2314yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449#520—28no—
450#520—44no—
451#520D4116yescomplemented
452#518—28no—
453C4×#41—44no—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×D4—44no—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2312yes—
494C2×#117—28no—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2314yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2312yes—
511C22×C4⋊C4—28no—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2314yes—
525C22×C4⋊C4C2311yescharacteristic
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C22⋊C4C2311yescharacteristic
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2311yescharacteristic
536C22×C22⋊C4C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2312yes—
540#400C2314yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2314yes—
547#399C2314yes—
548#398C2312yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2312yes—
557#398C2314yes—
558#398C2312yes—
559#398C2312yes—
560#398C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#396C2312yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2312yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2312yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2314yes—
599#395C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2312yes—
618#394C2312yes—
619#394C2314yes—
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#393C2314yes—
636#393C2314yes—
637#393C2314yes—
638#393C2314yes—
639#392C2312yes—
640#392C2312yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2312yes—
651#392C2314yes—
652#391C2312yes—
653#391C2311yescharacteristic
654#391C2314yes—
655#391C2311yescharacteristic
656#391C2314yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2312yes—
671#390C2311yescharacteristic
672#390C2314yes—
673#390C2311yescharacteristic
674#390C2312yes—
675#390C2314yes—
676#390C2314yes—
677#390C2312yes—
678#390C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2311yescharacteristic
698#389C2314yes—
699#389C2314yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2312yes—
704#389C2314yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2311yescharacteristic
710#389C2311yescharacteristic
711#389C2312yes—
712#388C2312yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2312yes—
720#388C2314yes—
721#388C2312yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2314yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2314yes—
778#385C2312yes—
779#385C2314yes—
780#384C2311yescharacteristic
781#384C2312yes—
782#384C2314yes—
783#384C2312yes—
784#384C2312yes—
785#384C2311yescharacteristic
786#382C2311yescharacteristic
787#382C2312yes—
788#382C2314yes—
789#382C2311yescharacteristic
790#382C2312yes—
791#382C2312yes—
792#381C2312yes—
793#381C2312yes—
794#381C2312yes—
795#380C2312yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2311yescharacteristic
811#380C2312yes—
812#380C2311yescharacteristic
813#380C2314yes—
814#380C2312yes—
815#380C2314yes—
816#380C2312yes—
817#380C2311yescharacteristic
818#380C2312yes—
819#380C2311yescharacteristic
820#380C2312yes—
821#380C2311yescharacteristic
822#380C2311yescharacteristic
823#380C2312yes—
824#380C2312yes—
825#380C2311yescharacteristic
826#380C2311yescharacteristic
827#380C2312yes—
828#380C2311yescharacteristic
829#380C2311yescharacteristic
830#380C2311yescharacteristic
831#380C2311yescharacteristic
832#379C2314yes—
833#379C2312yes—
834#379C2312yes—
835#379C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C2×#95C2312yes—
851C2×#95C2314yes—
852C2×#95C2312yes—
853C25C2411yescharacteristic
854C25C2411yescharacteristic
855C25C2412yes—
856C2×#41—24no—
857C2×#41—216no—
858C2×#41—216no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—48no—
864C2×#41—48no—
865C2×#41—84no—
866C2×#41—84no—
867C2×#41C2×D418yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—24no—
877C22×D4—42no—
878C22×D4—44no—
879C22×D4—42no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—44no—
883C22×D4—82no—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2411yescharacteristic
911C23×C4—24no—
912C23×C4—24no—
913C23×C4—24no—
914C23×C4—24no—
915C23×C4—24no—
916C23×C4—24no—
917C23×C4—28no—
918C23×C4—44no—
919C23×C4—82no—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2414yes—
941C23×C4C2412yes—
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2414yes—
948C23×C4C2411yescharacteristic
949C4⋊Q8—28no—
950C4⋊Q8—28no—
951C4⋊Q8—28no—
952C4⋊Q8—28no—
953#127—28no—
954#127—44no—
955#126—216no—
956#126—216no—
957#126—216no—
958#126—216no—
959#125—28no—
960#125—216no—
961#125—28no—
962#125—28no—
963#125—216no—
964#125—28no—
965#124—28no—
966#124—216no—
967#124—216no—
968#124—44no—
969#123—28no—
970#123—28no—
971#123—216no—
972#123—216no—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—44no—
981C22⋊Q8—24no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—24no—
990C22⋊Q8—216no—
991C22⋊Q8—24no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—48no—
996C22⋊Q8—48no—
997C22⋊Q8—48no—
998C22⋊Q8—48no—
999C22⋊Q8—42no—
1000C22⋊Q8—42no—
1001C22⋊Q8—84no—
1002C22⋊Q8—84no—
1003#121—24no—
1004#121—216no—
1005#121—24no—
1006#121—24no—
1007#121—24no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—28no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—28no—
1017#121—28no—
1018#121—28no—
1019#121—28no—
1020#121—24no—
1021#121—24no—
1022#121—216no—
1023#121—216no—
1024#121—216no—
1025#121—48no—
1026#121—48no—
1027#121—48no—
1028#121—44no—
1029#121—44no—
1030#121—48no—
1031#121—48no—
1032#121—48no—
1033#121—48no—
1034#121—48no—
1035#121—48no—
1036#121—44no—
1037#121—44no—
1038#121—44no—
1039#121—44no—
1040#121—42no—
1041#121—42no—
1042#121—44no—
1043#121—44no—
1044#121—48no—
1045#121—84no—
1046#121—84no—
1047#120—28no—
1048#120—28no—
1049#120—216no—
1050#120—28no—
1051#120—44no—
1052#120—48no—
1053C4×Q8—28no—
1054C4×Q8—42no—
1055C4×Q8—42no—
1056C4×Q8—44no—
1057C4×Q8C2×D4116yescomplemented
1058C4×D4—216no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—216no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—216no—
1073C4×D4—216no—
1074C4×D4—42no—
1075C4×D4—42no—
1076C4×D4—44no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—42no—
1082C4×D4—42no—
1083C4×D4—42no—
1084C4×D4—42no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—44no—
1089C4×D4—48no—
1090C4×D4C2×D4132yes—
1091C4×D4C2×D4116yescomplemented
1092#117—24no—
1093#117—24no—
1094#117—24no—
1095#117—24no—
1096#117—24no—
1097#117—24no—
1098#117—24no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—216no—
1103#117—216no—
1104#117—44no—
1105#117—44no—
1106#117C2×D418yes—
1107#117C2×D4116yescomplemented
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—24no—
1111C2×C4⋊C4—28no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—24no—
1117C2×C4⋊C4—28no—
1118C2×C4⋊C4—44no—
1119C2×C4⋊C4—44no—
1120C2×C4⋊C4—48no—
1121C2×C4⋊C4—42no—
1122C2×C4⋊C4C2×D418yes—
1123C2×C4⋊C4C2×D4116yescomplemented
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2414yes—
1190C2×C22⋊C4—28no—
1191C2×C22⋊C4—28no—
1192C2×C22⋊C4—216no—
1193C2×C22⋊C4—44no—
1194C2×C22⋊C4—44no—
1195C2×C22⋊C4—42no—
1196C2×C22⋊C4—42no—
1197C2×C22⋊C4—44no—
1198C2×C22⋊C4—82no—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2411yescharacteristic
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2411yescharacteristic
1240C2×C22⋊C4C2411yescharacteristic
1241C2×C22⋊C4C2411yescharacteristic
1242C2×C22⋊C4C2411yescharacteristic
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2414yes—
1276C2×C42—24no—
1277C2×C42—28no—
1278C2×C42—44no—
1279C2×C42C2412yes—
1280C2×C42C2414yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291C2×C42C2414yes—
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2414yes—
1295C2×C42C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—22no—
1343C24—22no—
1344C24—22no—
1345C24—24no—
1346C24—24no—
1347C24—24no—
1348C24—41no—
1349C24—41no—
1350C24—41no—
1351C24—41no—
1352C24—41no—
1353C24—42no—
1354C24—42no—
1355C24—42no—
1356C24—42no—
1357C24C2514yes—
1358C24C2511yescharacteristic
1359C24C2512yes—
1360C24C2512yes—
1361C24C2511yescharacteristic
1362C24C2511yescharacteristic
1363C24C2511yescharacteristic
1364C24C2511yescharacteristic
1365#41—232no—
1366#41—416no—
1367#41—832no—
1368#41—832no—
1369C2×Q8—22no—
1370C2×Q8—28no—
1371C2×Q8—28no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—22no—
1376C2×Q8—44no—
1377C2×Q8—44no—
1378C2×Q8—44no—
1379C2×Q8—44no—
1380C2×Q8C22×D414yes—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—28no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—28no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—22no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—44no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—44no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—42no—
1451C2×D4—44no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—416no—
1460C2×D4—416no—
1461C2×D4—816no—
1462C2×D4—816no—
1463C2×D4C22×D418yes—
1464C2×D4C22×D414yes—
1465C2×D4H(5,𝔽2)14yes—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—28no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—24no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—24no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—24no—
1510C22×C4—24no—
1511C22×C4—28no—
1512C22×C4—28no—
1513C22×C4—28no—
1514C22×C4—28no—
1515C22×C4—24no—
1516C22×C4—42no—
1517C22×C4—44no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—41no—
1521C22×C4—44no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—41no—
1528C22×C4—42no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—44no—
1539C22×C4—42no—
1540C22×C4—44no—
1541C22×C4—41no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—44no—
1545C22×C4—44no—
1546C22×C4—44no—
1547C22×C4—416no—
1548C22×C4—416no—
1549C22×C4—816no—
1550C22×C4C22×D418yes—
1551C22×C4C22×D418yes—
1552C22×C4C22×D4116yes—
1553C22×C4C22×D414yes—
1554C22×C4H(5,𝔽2)14yes—
1555C22×C42−1+414yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2512yes—
1558C22×C4C2512yes—
1559C22×C4C2512yes—
1560C22×C4C2514yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2512yes—
1567C22×C4C2512yes—
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C22×C4C2511yescharacteristic
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2514yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2514yes—
1579C22×C4C2512yes—
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—28no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—28no—
1593C4⋊C4—22no—
1594C4⋊C4—24no—
1595C4⋊C4—22no—
1596C4⋊C4—22no—
1597C4⋊C4—28no—
1598C4⋊C4—28no—
1599C4⋊C4—28no—
1600C4⋊C4—28no—
1601C4⋊C4—28no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—28no—
1606C4⋊C4—28no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—22no—
1612C4⋊C4—28no—
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—22no—
1616C4⋊C4—22no—
1617C4⋊C4—24no—
1618C4⋊C4—41no—
1619C4⋊C4—41no—
1620C4⋊C4—41no—
1621C4⋊C4—41no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—44no—
1634C4⋊C4—42no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—44no—
1640C4⋊C4—44no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—44no—
1644C4⋊C4C22×D418yes—
1645C4⋊C4C22×D418yes—
1646C4⋊C4C22×D414yes—
1647C4⋊C4C22×D414yes—
1648C4⋊C4C22×D4116yes—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—28no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—28no—
1668C22⋊C4—28no—
1669C22⋊C4—28no—
1670C22⋊C4—28no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—28no—
1674C22⋊C4—28no—
1675C22⋊C4—24no—
1676C22⋊C4—24no—
1677C22⋊C4—24no—
1678C22⋊C4—28no—
1679C22⋊C4—24no—
1680C22⋊C4—28no—
1681C22⋊C4—24no—
1682C22⋊C4—24no—
1683C22⋊C4—28no—
1684C22⋊C4—24no—
1685C22⋊C4—41no—
1686C22⋊C4—41no—
1687C22⋊C4—41no—
1688C22⋊C4—41no—
1689C22⋊C4—41no—
1690C22⋊C4—41no—
1691C22⋊C4—41no—
1692C22⋊C4—41no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—42no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—42no—
1704C22⋊C4—42no—
1705C22⋊C4—42no—
1706C22⋊C4—44no—
1707C22⋊C4—42no—
1708C22⋊C4—42no—
1709C22⋊C4—42no—
1710C22⋊C4—42no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—44no—
1714C22⋊C4—44no—
1715C22⋊C4—42no—
1716C22⋊C4—42no—
1717C22⋊C4—44no—
1718C22⋊C4—44no—
1719C22⋊C4—42no—
1720C22⋊C4—42no—
1721C22⋊C4—44no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4C22×D418yes—
1725C22⋊C4C22×D4116yes—
1726C42—24no—
1727C42—24no—
1728C42—24no—
1729C42—28no—
1730C42—24no—
1731C42—24no—
1732C42—22no—
1733C42—22no—
1734C42—22no—
1735C42—22no—
1736C42—24no—
1737C42—24no—
1738C42—42no—
1739C42—42no—
1740C42—44no—
1741C42C22×D418yes—
1742C42C22×D4116yes—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—28no—
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—22no—
1753C23—21no—
1754C23—21no—
1755C23—22no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—22no—
1761C23—22no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—22no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—22no—
1771C23—21no—
1772C23—22no—
1773C23—24no—
1774C23—21no—
1775C23—22no—
1776C23—24no—
1777C23—21no—
1778C23—21no—
1779C23—24no—
1780C23—22no—
1781C23—21no—
1782C23—22no—
1783C23—24no—
1784C23—22no—
1785C23—21no—
1786C23—24no—
1787C23—24no—
1788C23—21no—
1789C23—22no—
1790C23—24no—
1791C23—22no—
1792C23—21no—
1793C23—44no—
1794C23—44no—
1795C23—44no—
1796C23—44no—
1797C23—44no—
1798C23—44no—
1799C23—44no—
1800C23—44no—
1801C23—44no—
1802C23—44no—
1803C23—48no—
1804C23—82no—
1805C23—82no—
1806C23—82no—
1807C23—84no—
1808C23—84no—
1809C23—84no—
1810C23—84no—
1811C23—84no—
1812C23—84no—
1813C23C23×D414yes—
1814C23C23×D412yes—
1815C23C2×H(5,𝔽2)12yes—
1816C23C2×H(5,𝔽2)12yes—
1817C23C2×H(5,𝔽2)12yes—
1818C23C2×2−1+412yes—
1819C23#58512yes—
1820C23C2611yescharacteristic
1821Q8—28no—
1822Q8—44no—
1823Q8—88no—
1824Q8—88no—
1825D4—216no—
1826D4—28no—
1827D4—44no—
1828D4—48no—
1829D4—44no—
1830D4—416no—
1831D4—48no—
1832D4—48no—
1833D4—44no—
1834D4—48no—
1835D4—48no—
1836D4—44no—
1837D4—48no—
1838D4—48no—
1839D4—48no—
1840D4—44no—
1841D4—88no—
1842D4—84no—
1843D4—88no—
1844D4—84no—
1845D4—88no—
1846D4—88no—
1847D4—88no—
1848D4—88no—
1849D4—84no—
1850D4—164no—
1851D4—164no—
1852C2×C4—21no—
1853C2×C4—22no—
1854C2×C4—24no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—216no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—24no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—24no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—24no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—24no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—21no—
1923C2×C4—48no—
1924C2×C4—416no—
1925C2×C4—416no—
1926C2×C4—44no—
1927C2×C4—48no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—44no—
1932C2×C4—44no—
1933C2×C4—44no—
1934C2×C4—44no—
1935C2×C4—44no—
1936C2×C4—44no—
1937C2×C4—44no—
1938C2×C4—48no—
1939C2×C4—88no—
1940C2×C4—84no—
1941C2×C4—84no—
1942C2×C4—88no—
1943C2×C4—88no—
1944C2×C4—88no—
1945C2×C4—82no—
1946C2×C4—84no—
1947C2×C4—84no—
1948C2×C4—84no—
1949C2×C4—164no—
1950C2×C4#537116yescomplemented
1951C2×C4C23×D414yes—
1952C2×C4C23×D414yes—
1953C2×C4C23×D418yes—
1954C2×C4C23×D414yes—
1955C2×C4C23×D412yes—
1956C2×C4C23×D412yes—
1957C2×C4C2×H(5,𝔽2)12yes—
1958C2×C4C2×H(5,𝔽2)12yes—
1959C2×C4C2×H(5,𝔽2)12yes—
1960C2×C4C2×2−1+412yes—
1961C2×C4C2×2−1+412yes—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—22no—
1969C22—22no—
1970C22—24no—
1971C22—22no—
1972C22—24no—
1973C22—22no—
1974C22—22no—
1975C22—22no—
1976C22—22no—
1977C22—22no—
1978C22—24no—
1979C22—22no—
1980C22—416no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—42no—
1985C22—42no—
1986C22—41no—
1987C22—41no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—41no—
1994C22—42no—
1995C22—41no—
1996C22—41no—
1997C22—42no—
1998C22—44no—
1999C22—41no—
2000C22—44no—
2001C22—42no—
2002C22—41no—
2003C22—41no—
2004C22—44no—
2005C22—42no—
2006C22—41no—
2007C22—42no—
2008C22—44no—
2009C22—42no—
2010C22—41no—
2011C22—44no—
2012C22—41no—
2013C22—42no—
2014C22—44no—
2015C22—42no—
2016C22—41no—
2017C22—44no—
2018C22—88no—
2019C22—168no—
2020C22C2×#53714yes—
2021C22C24×D411yescharacteristic
2022C22C22×H(5,𝔽2)11yescharacteristic
2023C22C22×H(5,𝔽2)11yescharacteristic
2024C22C22×2−1+411yescharacteristic
2025C22C2×#58511yescharacteristic
2026C22H(7,𝔽2)11yescharacteristic
2027C222−1+611yescharacteristic
2028C4—28no—
2029C4—24no—
2030C4—24no—
2031C4—22no—
2032C4—24no—
2033C4—44no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—41no—
2041C4—44no—
2042C4—42no—
2043C4—42no—
2044C4—41no—
2045C4—41no—
2046C4—42no—
2047C4—42no—
2048C4—41no—
2049C4—41no—
2050C4—41no—
2051C4—41no—
2052C4—42no—
2053C4C2×#53714yes—
2054C4C2×#53714yes—
2055C2—24no—
2056C2—44no—
2057C2—42no—
2058C2—42no—
2059C2—42no—
2060C2—82no—
2061C2—81no—
2062C2—84no—
2063C2C22×#53711yescharacteristic
2064C2#6281811yescharacteristic
2065C2#6287511yescharacteristic
2066C2#6291511yescharacteristic
2067C2#6295811yescharacteristic
2068C2D4×H(5,𝔽2)11yescharacteristic
2069C2#6300211yescharacteristic
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×#3494C2semidirect
2. C2×#3492C2semidirect
3. #42970C2semidirect
4. #42952C2semidirect
5. #42798C2semidirect
6. #42794C2semidirect
7. #42477C2semidirect
8. #42476C2semidirect
9. #42445C2semidirect
10. #42424C2semidirect
11. #40519C2semidirect
12. #40492C2semidirect
13. #39962C2semidirect
14. #39958C2semidirect
15. #39883C2semidirect
16. #39852C2semidirect
17. #39359C2semidirect
18. #39340C2semidirect
19. #39165C2semidirect
20. #39126C2semidirect
21. #38356C2semidirect
22. #37648C2semidirect
23. #35575C2semidirect
24. #35563C2semidirect
25. #35563C2semidirect
26. #35529C2semidirect
27. #35518C2semidirect
28. #35514C2semidirect
29. #35256C2semidirect
30. #35253C2semidirect
31. #35224C2semidirect
32. #34935C2semidirect
33. #34737C2semidirect
34. C2×#2416C2semidirect
35. #34250C2semidirect
38. C2×#555C22semidirect
39. C2×#554C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
48. C2×#547C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
54. C2×#542C22semidirect
55. C2×#540C22semidirect
58. C2×#537C22semidirect
61. C2×#532C22semidirect
62. C2×#529C22semidirect
79. #2857C22semidirect
80. #2856C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
84. #2823C22semidirect
85. #2820C22semidirect
86. #2814C22semidirect
87. #2813C22semidirect
88. #2725C22semidirect
89. #2715C22semidirect
90. #2707C22semidirect
91. #2707C22semidirect
92. #2705C22semidirect
93. #2704C22semidirect
94. #2702C22semidirect
95. #2702C22semidirect
96. #2695C22semidirect
97. #2693C22semidirect
98. #2693C22semidirect
99. #2691C22semidirect
100. #2691C22semidirect
101. #2683C22semidirect
102. #2683C22semidirect
103. #2682C22semidirect
104. #2682C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2676C22semidirect
111. #2675C22semidirect
112. #2675C22semidirect
113. #2672C22semidirect
114. #2672C22semidirect
115. #2671C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
120. #2664C22semidirect
121. #2662C22semidirect
122. #2639C22semidirect
123. #2636C22semidirect
124. #2636C22semidirect
125. #2630C22semidirect
126. #2630C22semidirect
127. #2629C22semidirect
128. #2629C22semidirect
129. #2628C22semidirect
131. #2620C22semidirect
132. #2620C22semidirect
133. #2619C22semidirect
134. #2618C22semidirect
135. #2616C22semidirect
136. #2615C22semidirect
137. #2609C22semidirect
138. #2601C22semidirect
139. #2601C22semidirect
140. #2566C22semidirect
141. #2566C22semidirect
143. #2563C22semidirect
144. #2562C22semidirect
145. #2542C22semidirect
146. #2540C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2536C22semidirect
157. #2536C22semidirect
158. #2536C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2535C22semidirect
162. #2535C22semidirect
163. #2535C22semidirect
169. #2454C22semidirect
170. #2454C22semidirect
171. #2454C22semidirect
172. #2453C22semidirect
173. #2452C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2451C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2442C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
188. #2440C22semidirect
189. #2440C22semidirect
190. #2440C22semidirect
191. #2439C22semidirect
192. #2439C22semidirect
197. #2430C22semidirect
198. #2430C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2427C22semidirect
208. #2427C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
220. #2417C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
259. #2407C22semidirect
260. #2407C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
264. #2392C22semidirect
267. #2351C22semidirect
268. Q8×C4⋊C4C22semidirect
270. #2349C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2325C22semidirect
274. #2324C22semidirect
275. #2324C22semidirect
279. #2317C22semidirect
282. #2316C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
291. #2296C22semidirect
294. C2×#389C22semidirect
451. #520D4semidirect
1057. C4×Q8C2×D4semidirect
1091. C4×D4C2×D4semidirect
1107. #117C2×D4semidirect
1123. C2×C4⋊C4C2×D4semidirect
1950. C2×C4#537semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34922
#429702
#429522
#427982
#427942
#424772
#424762
#424452
#424242
#405192
#404922
#399622
#399582
#398832
#398522
#393592
#393402
#391652
#391262
#383562
#376482
#355752
#355632
#355292
#355182
#355142
#352562
#352532
#352242
#349352
#347372
C2×#24162
#342502