Finite Group Databasebeta

← #7650721

Subgroups — #7650721

Order 512.

7136 conjugacy classes of subgroups.

The subgroup lattice has 1988 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3492C211yesmaximal, characteristic, complemented
3#42980C212yesmaximal, complemented
4#42952C212yesmaximal, complemented
5#42803C212yesmaximal, complemented
6#42790C212yesmaximal, complemented
7#42675C212yesmaximal, complemented
8#42476C212yesmaximal, complemented
9#42445C212yesmaximal, complemented
10#42424C212yesmaximal, complemented
11#41372C214yesmaximal, complemented
12#40518C214yesmaximal, complemented
13#39962C212yesmaximal, complemented
14#39962C212yesmaximal, complemented
15#39883C212yesmaximal, complemented
16#39856C212yesmaximal, complemented
17#39165C212yesmaximal, complemented
18#39126C212yesmaximal, complemented
19#38950C212yesmaximal, complemented
20#38908C212yesmaximal, complemented
21#38357C214yesmaximal, complemented
22#37836C214yesmaximal, complemented
23#35639C211yesmaximal, characteristic, complemented
24#35620C211yesmaximal, characteristic, complemented
25#35564C211yesmaximal, characteristic, complemented
26#35564C211yesmaximal, characteristic, complemented
27#35518C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#35328C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35223C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic, complemented
33#34743C211yesmaximal, characteristic, complemented
34C2×#2442C211yesmaximal, characteristic, complemented
35#34250C211yesmaximal, characteristic, complemented
36#3512—216no—
37#3492—216no—
38C2×#554C2212yes—
39C2×#554C2212yes—
40C2×#553C2212yes—
41C2×#553C2212yes—
42C2×#553C2214yes—
43C2×#553C2214yes—
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yescomplemented
49C2×#552C2212yescomplemented
50C2×#547C2212yes—
51C2×#547C2212yes—
52C2×#544C2211yescharacteristic
53C2×#541C2212yescomplemented
54C2×#540C2212yescomplemented
55C2×#539C2214yes—
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic
59C2×#537C2211yescharacteristic
60C2×#532C2211yescharacteristic
61C2×#532C2211yescharacteristic
62C2×#529C2212yescomplemented
63C2×#529C2212yescomplemented
64C22×#125C2211yescharacteristic
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C2×#525C2214yes—
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C23×C4⋊C4C2211yescharacteristic
77#2857C2212yescomplemented
78#2851C2212yescomplemented
79#2850C2212yescomplemented
80#2850C2212yescomplemented
81#2847C2214yes—
82#2823C2214yescomplemented
83#2822C2214yescomplemented
84#2814C2214yescomplemented
85#2813C2214yescomplemented
86#2726C2214yescomplemented
87#2725C2214yescomplemented
88#2725C2214yescomplemented
89#2722C2214yescomplemented
90#2707C2214yes—
91#2707C2214yescomplemented
92#2705C2214yes—
93#2705C2214yes—
94#2704C2214yes—
95#2704C2214yescomplemented
96#2702C2214yes—
97#2702C2214yes—
98#2702C2214yescomplemented
99#2702C2214yescomplemented
100#2695C2214yes—
101#2695C2214yescomplemented
102#2695C2214yescomplemented
103#2695C2214yescomplemented
104#2693C2214yes—
105#2693C2214yes—
106#2693C2214yescomplemented
107#2693C2214yescomplemented
108#2691C2214yes—
109#2691C2214yescomplemented
110#2682C2214yes—
111#2681C2214yes—
112#2681C2214yescomplemented
113#2675C2214yes—
114#2671C2214yes—
115#2671C2214yes—
116#2671C2214yes—
117#2671C2214yescomplemented
118#2664C2214yescomplemented
119#2664C2214yescomplemented
120#2639C2214yescomplemented
121#2636C2214yes—
122#2636C2214yescomplemented
123#2630C2214yes—
124#2630C2214yescomplemented
125#2629C2214yes—
126#2629C2212yescomplemented
127#2629C2214yescomplemented
128#2628C2212yescomplemented
129#2625C2214yescomplemented
130#2621C2212yescomplemented
131#2619C2212yescomplemented
132#2618C2214yes—
133#2618C2214yescomplemented
134#2615C2214yes—
135#2609C2214yes—
136#2601C2214yes—
137#2601C2214yescomplemented
138#2579C2214yes—
139#2568C2212yescomplemented
140#2566C2212yescomplemented
141#2565C2212yescomplemented
142#2563C2212yescomplemented
143#2562C2214yes—
144#2562C2214yescomplemented
145#2543C2214yes—
146#2543C2214yes—
147#2543C2214yes—
148#2543C2214yes—
149#2538C2212yes—
150#2538C2212yes—
151#2537C2212yes—
152#2537C2212yes—
153#2537C2214yes—
154#2536C2212yes—
155#2536C2212yes—
156#2536C2212yescomplemented
157#2536C2212yescomplemented
158#2535C2212yes—
159#2535C2212yes—
160#2535C2212yescomplemented
161#2535C2212yescomplemented
162#2498C2214yescomplemented
163#2487C2214yes—
164#2485C2214yes—
165#2454C2212yescomplemented
166#2454C2212yescomplemented
167#2454C2212yescomplemented
168#2453C2212yescomplemented
169#2453C2212yescomplemented
170#2453C2212yescomplemented
171#2452C2212yescomplemented
172#2451C2212yescomplemented
173#2450C2214yes—
174#2450C2214yes—
175#2450C2214yes—
176#2449C2214yes—
177#2442C2212yes—
178#2442C2212yes—
179#2442C2212yes—
180#2442C2212yes—
181#2442C2212yes—
182#2442C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2442C2212yescomplemented
186#2442C2212yescomplemented
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2441C2212yescomplemented
190#2441C2212yescomplemented
191#2439C2212yescomplemented
192#2439C2212yescomplemented
193#2430C2214yes—
194#2429C2211yescharacteristic
195#2429C2211yescharacteristic
196#2429C2211yescharacteristic
197#2429C2211yescharacteristic
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2428C2211yescharacteristic
201#2428C2211yescharacteristic
202#2428C2211yescharacteristic
203#2428C2211yescharacteristic
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2427C2211yescharacteristic
207#2427C2211yescharacteristic
208#2427C2211yescharacteristic
209#2427C2211yescharacteristic
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2426C2211yescharacteristic
213#2426C2211yescharacteristic
214#2426C2211yescharacteristic
215#2426C2211yescharacteristic
216#2426C2212yescomplemented
217#2426C2212yescomplemented
218#2425C2212yes—
219#2425C2212yes—
220#2425C2214yes—
221#2425C2214yes—
222#2425C2212yes—
223#2425C2212yes—
224#2424C2212yes—
225#2424C2212yes—
226#2424C2212yes—
227#2424C2212yes—
228#2424C2214yes—
229#2424C2214yes—
230#2417C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2417C2212yes—
236#2417C2212yescomplemented
237#2417C2214yescomplemented
238#2417C2212yescomplemented
239#2416C2212yes—
240#2416C2212yes—
241#2416C2214yes—
242#2416C2214yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2214yes—
248#2416C2212yescomplemented
249#2416C2212yescomplemented
250#2415C2212yes—
251#2415C2212yes—
252#2415C2212yescomplemented
253#2415C2212yescomplemented
254#2414C2212yes—
255#2414C2212yes—
256#2414C2212yescomplemented
257#2414C2212yescomplemented
258#2407C2214yes—
259C2×#400C2212yes—
260#2392C2212yes—
261#2392C2212yes—
262#2392C2212yes—
263#2392C2212yes—
264C2×#398C2212yes—
265#2351C2212yescomplemented
266Q8×C4⋊C4C2212yescomplemented
267#2349C2214yes—
268#2349C2212yescomplemented
269D4×C4⋊C4C2214yes—
270D4×C4⋊C4C2212yescomplemented
271#2325C2214yes—
272#2324C2214yes—
273#2324C2214yes—
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2317C2212yescomplemented
277#2316C2211yescharacteristic
278#2316C2212yescomplemented
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2214yes—
283#2311C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291#2296C2211yescharacteristic
292#2296C2212yescomplemented
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#389C2212yescomplemented
296C2×#385C2212yes—
297C2×#382C2211yescharacteristic
298C2×#380C2211yescharacteristic
299C2×#380C2212yes—
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308#554—216no—
309#554—216no—
310#553—216no—
311#553—232no—
312#553—232no—
313#553—216no—
314#553—216no—
315#553—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#552—216no—
320#547—216no—
321#547—216no—
322#544—28no—
323#541—216no—
324#540—216no—
325#539—232no—
326#537—28no—
327#537—28no—
328#537—28no—
329#537—44no—
330#532—28no—
331#532—44no—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2311yescharacteristic
336C2×#127C2311yescharacteristic
337C2×#127C2311yescharacteristic
338#529—216no—
339#529—216no—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#125—28no—
347C2×#125C2314yes—
348C2×#125C2314yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#124C2311yescharacteristic
358C2×#124C2311yescharacteristic
359C2×#124C2311yescharacteristic
360C2×#124C2311yescharacteristic
361#525—28no—
362#525—232no—
363#525—28no—
364#525—44no—
365#525—44no—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2312yes—
370C2×#123C2312yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2314yes—
405C2×#121C2311yescharacteristic
406C2×#121C2314yes—
407C2×#121C2311yescharacteristic
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440#520—28no—
441#520—28no—
442#520—44no—
443#520D4116yescomplemented
444C4×#41—28no—
445C4×#41—44no—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2314yes—
490C2×#117C2314yes—
491C2×#117C2314yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C22×C4⋊C4—28no—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2311yescharacteristic
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2312yes—
518C22×C22⋊C4C2311yescharacteristic
519C22×C22⋊C4C2311yescharacteristic
520C22×C22⋊C4C2312yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2312yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#400C2314yes—
531#400C2314yes—
532#400C2314yes—
533#400C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2312yes—
540#398C2312yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2312yes—
565#397C2312yes—
566#397C2314yes—
567#397C2312yes—
568#397C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2314yes—
595#395C2314yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#393C2314yes—
625#393C2314yes—
626#393C2314yes—
627#392C2312yes—
628#392C2312yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2312yes—
635#392C2312yes—
636#392C2314yes—
637#391C2311yescharacteristic
638#391C2312yes—
639#391C2314yes—
640#391C2312yes—
641#391C2312yes—
642#391C2314yes—
643#391C2312yes—
644#391C2311yescharacteristic
645#391C2314yes—
646#391C2311yescharacteristic
647#391C2311yescharacteristic
648#390C2311yescharacteristic
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2311yescharacteristic
663#390C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2314yes—
678#389C2314yes—
679#389C2311yescharacteristic
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2311yescharacteristic
684#389C2314yes—
685#389C2312yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2314yes—
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2311yescharacteristic
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2311yescharacteristic
701#389C2311yescharacteristic
702#389C2312yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2312yes—
752#386C2312yes—
753#386C2314yes—
754#386C2312yes—
755#386C2312yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2312yes—
760#386C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2312yes—
775#385C2314yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2312yes—
781#384C2312yes—
782#384C2314yes—
783#384C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2314yes—
788#382C2312yes—
789#382C2312yes—
790#382C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2312yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C2×#95C2314yes—
844C2×#95C2312yes—
845C2×#95C2311yescharacteristic
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#95C2311yescharacteristic
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2411yescharacteristic
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—216no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—48no—
865C2×#41—84no—
866C2×#41C2×D418yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—28no—
900C23×C4—44no—
901C23×C4—82no—
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—28no—
933C4⋊Q8—42no—
934#127—24no—
935#127—42no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—216no—
940#126—216no—
941#126—216no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—28no—
946#125—216no—
947#125—216no—
948#125—28no—
949#125—216no—
950#125—216no—
951#125—28no—
952#124—24no—
953#124—24no—
954#124—42no—
955#124—42no—
956#123—28no—
957#123—216no—
958#123—216no—
959#123—216no—
960#123—216no—
961#123—28no—
962#123—216no—
963#123—216no—
964#123—216no—
965#123—216no—
966#123—44no—
967#123—44no—
968C22⋊Q8—24no—
969C22⋊Q8—24no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—24no—
976C22⋊Q8—216no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—42no—
983C22⋊Q8—42no—
984C22⋊Q8—42no—
985C22⋊Q8—42no—
986C22⋊Q8—44no—
987C22⋊Q8—44no—
988C22⋊Q8—84no—
989#121—216no—
990#121—24no—
991#121—24no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—216no—
997#121—28no—
998#121—216no—
999#121—28no—
1000#121—216no—
1001#121—24no—
1002#121—24no—
1003#121—28no—
1004#121—28no—
1005#121—216no—
1006#121—216no—
1007#121—44no—
1008#121—44no—
1009#121—48no—
1010#121—44no—
1011#121—44no—
1012#121—48no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017#121—44no—
1018#121—44no—
1019#121—48no—
1020#121—44no—
1021#121—44no—
1022#121—48no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—28no—
1027#120—28no—
1028#120—44no—
1029#120—44no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—28no—
1033C4×Q8—28no—
1034C4×Q8—42no—
1035C4×Q8—42no—
1036C4×Q8—44no—
1037C4×Q8C2×D4116yes—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—216no—
1041C4×D4—28no—
1042C4×D4—216no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—42no—
1057C4×D4—42no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—44no—
1067C4×D4—48no—
1068C4×D4C2×D4132yes—
1069C4×D4C2×D4116yes—
1070#117—24no—
1071#117—216no—
1072#117—24no—
1073#117—24no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—216no—
1078#117—216no—
1079#117—44no—
1080#117—44no—
1081#117C2×D418yes—
1082#117C2×D4116yes—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—24no—
1086C2×C4⋊C4—28no—
1087C2×C4⋊C4—28no—
1088C2×C4⋊C4—24no—
1089C2×C4⋊C4—28no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—44no—
1096C2×C4⋊C4—82no—
1097C2×C4⋊C4—84no—
1098C2×C4⋊C4—82no—
1099C2×C4⋊C4C2×D418yes—
1100C2×C4⋊C4C2×D4116yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2414yes—
1168C2×C22⋊C4—42no—
1169C2×C22⋊C4—44no—
1170C2×C22⋊C4—42no—
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C42—24no—
1242C2×C42—24no—
1243C2×C42—28no—
1244C2×C42—44no—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2414yes—
1264C2×C42C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313C24—22no—
1314C24—22no—
1315C24—22no—
1316C24—22no—
1317C24—22no—
1318C24—41no—
1319C24—41no—
1320C24C2512yes—
1321C24C2512yes—
1322C24C2512yes—
1323C24C2512yes—
1324C24C2511yescharacteristic
1325C24C2511yescharacteristic
1326C24C2511yescharacteristic
1327#41—232no—
1328#41—416no—
1329#41—416no—
1330#41—416no—
1331#41—832no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—28no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8C22×D414yes—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
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—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—28no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4C22×D418yes—
1418C2×D4C22×D414yes—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—28no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—28no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—28no—
1457C22×C4—28no—
1458C22×C4—28no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—44no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—44no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—41no—
1491C22×C4—41no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—416no—
1498C22×C4—816no—
1499C22×C4C22×D418yes—
1500C22×C4C22×D418yes—
1501C22×C4C22×D4116yes—
1502C22×C4C22×D414yes—
1503C22×C4H(5,𝔽2)14yes—
1504C22×C42−1+414yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2514yes—
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2512yes—
1517C22×C4C2514yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—28no—
1536C4⋊C4—28no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—28no—
1540C4⋊C4—28no—
1541C4⋊C4—24no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—28no—
1545C4⋊C4—28no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—28no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—42no—
1585C4⋊C4—42no—
1586C4⋊C4—44no—
1587C4⋊C4—42no—
1588C4⋊C4—44no—
1589C4⋊C4—42no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—42no—
1595C4⋊C4C22×D418yes—
1596C4⋊C4C22×D418yes—
1597C4⋊C4C22×D414yes—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D4116yes—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—22no—
1611C22⋊C4—22no—
1612C22⋊C4—22no—
1613C22⋊C4—28no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—41no—
1631C22⋊C4—41no—
1632C22⋊C4—44no—
1633C22⋊C4—41no—
1634C22⋊C4—41no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4C22×D418yes—
1669C22⋊C4C22×D4116yes—
1670C42—22no—
1671C42—24no—
1672C42—24no—
1673C42—22no—
1674C42—22no—
1675C42—22no—
1676C42—28no—
1677C42—28no—
1678C42—24no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—24no—
1684C42—24no—
1685C42—42no—
1686C42—42no—
1687C42—44no—
1688C42C22×D418yes—
1689C42C22×D4116yes—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—28no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—22no—
1700C23—21no—
1701C23—21no—
1702C23—22no—
1703C23—21no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—44no—
1735C23—44no—
1736C23—44no—
1737C23—44no—
1738C23—44no—
1739C23—44no—
1740C23C23×D414yes—
1741C23C23×D412yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2×2−1+412yes—
1744C23#58512yes—
1745C23#58512yes—
1746C23C2611yescharacteristic
1747Q8—28no—
1748Q8—44no—
1749Q8—44no—
1750Q8—44no—
1751Q8—88no—
1752D4—216no—
1753D4—28no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—48no—
1759D4—48no—
1760D4—48no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—88no—
1765D4—84no—
1766D4—88no—
1767D4—84no—
1768D4—84no—
1769D4—84no—
1770D4—84no—
1771D4—84no—
1772D4—88no—
1773D4—84no—
1774D4—84no—
1775D4—164no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—24no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—216no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—24no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—24no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—48no—
1852C2×C4—416no—
1853C2×C4—416no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—88no—
1865C2×C4—88no—
1866C2×C4—88no—
1867C2×C4—82no—
1868C2×C4—82no—
1869C2×C4—84no—
1870C2×C4—82no—
1871C2×C4—82no—
1872C2×C4—84no—
1873C2×C4—84no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4—164no—
1877C2×C4#537116yes—
1878C2×C4C23×D414yes—
1879C2×C4C23×D414yes—
1880C2×C4C23×D418yes—
1881C2×C4C23×D414yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C2×H(5,𝔽2)12yes—
1885C2×C4C2×H(5,𝔽2)12yes—
1886C2×C4C2×2−1+412yes—
1887C2×C4C2×2−1+412yes—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—24no—
1896C22—22no—
1897C22—24no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—24no—
1902C22—22no—
1903C22—416no—
1904C22—41no—
1905C22—41no—
1906C22—42no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—42no—
1915C22—41no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22C2×#53714yes—
1938C22C24×D411yescharacteristic
1939C22C22×H(5,𝔽2)11yescharacteristic
1940C22C22×2−1+411yescharacteristic
1941C22C2×#58511yescharacteristic
1942C22C2×#58511yescharacteristic
1943C22H(7,𝔽2)11yescharacteristic
1944C222−1+611yescharacteristic
1945C4—28no—
1946C4—24no—
1947C4—24no—
1948C4—24no—
1949C4—44no—
1950C4—41no—
1951C4—42no—
1952C4—41no—
1953C4—41no—
1954C4—44no—
1955C4—41no—
1956C4—42no—
1957C4—41no—
1958C4—42no—
1959C4—41no—
1960C4—42no—
1961C4—41no—
1962C4—41no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4—41no—
1967C4—44no—
1968C4—42no—
1969C4—41no—
1970C4—42no—
1971C4C2×#53714yes—
1972C4C2×#53714yes—
1973C2—24no—
1974C2—44no—
1975C2—42no—
1976C2—42no—
1977C2—82no—
1978C2—82no—
1979C2—82no—
1980C2C22×#53711yescharacteristic
1981C2#6282511yescharacteristic
1982C2#6287711yescharacteristic
1983C2#6292711yescharacteristic
1984C2#6295711yescharacteristic
1985C2#6298711yescharacteristic
1986C2#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×#3512C2semidirect
2. C2×#3492C2semidirect
3. #42980C2semidirect
4. #42952C2semidirect
5. #42803C2semidirect
6. #42790C2semidirect
7. #42675C2semidirect
8. #42476C2semidirect
9. #42445C2semidirect
10. #42424C2semidirect
11. #41372C2semidirect
12. #40518C2semidirect
13. #39962C2semidirect
14. #39962C2semidirect
15. #39883C2semidirect
16. #39856C2semidirect
17. #39165C2semidirect
18. #39126C2semidirect
19. #38950C2semidirect
20. #38908C2semidirect
21. #38357C2semidirect
22. #37836C2semidirect
23. #35639C2semidirect
24. #35620C2semidirect
25. #35564C2semidirect
26. #35564C2semidirect
27. #35518C2semidirect
28. #35518C2semidirect
29. #35328C2semidirect
30. #35257C2semidirect
31. #35223C2semidirect
32. #34743C2semidirect
33. #34743C2semidirect
34. C2×#2442C2semidirect
35. #34250C2semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
53. C2×#541C22semidirect
54. C2×#540C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
77. #2857C22semidirect
78. #2851C22semidirect
79. #2850C22semidirect
80. #2850C22semidirect
82. #2823C22semidirect
83. #2822C22semidirect
84. #2814C22semidirect
85. #2813C22semidirect
86. #2726C22semidirect
87. #2725C22semidirect
88. #2725C22semidirect
89. #2722C22semidirect
91. #2707C22semidirect
95. #2704C22semidirect
98. #2702C22semidirect
99. #2702C22semidirect
101. #2695C22semidirect
102. #2695C22semidirect
103. #2695C22semidirect
106. #2693C22semidirect
107. #2693C22semidirect
109. #2691C22semidirect
112. #2681C22semidirect
117. #2671C22semidirect
118. #2664C22semidirect
119. #2664C22semidirect
120. #2639C22semidirect
122. #2636C22semidirect
124. #2630C22semidirect
126. #2629C22semidirect
127. #2629C22semidirect
128. #2628C22semidirect
129. #2625C22semidirect
130. #2621C22semidirect
131. #2619C22semidirect
133. #2618C22semidirect
137. #2601C22semidirect
139. #2568C22semidirect
140. #2566C22semidirect
141. #2565C22semidirect
142. #2563C22semidirect
144. #2562C22semidirect
156. #2536C22semidirect
157. #2536C22semidirect
160. #2535C22semidirect
161. #2535C22semidirect
162. #2498C22semidirect
165. #2454C22semidirect
166. #2454C22semidirect
167. #2454C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
171. #2452C22semidirect
172. #2451C22semidirect
185. #2442C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2439C22semidirect
192. #2439C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
238. #2417C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
252. #2415C22semidirect
253. #2415C22semidirect
256. #2414C22semidirect
257. #2414C22semidirect
265. #2351C22semidirect
266. Q8×C4⋊C4C22semidirect
268. #2349C22semidirect
270. D4×C4⋊C4C22semidirect
276. #2317C22semidirect
278. #2316C22semidirect
292. #2296C22semidirect
295. C2×#389C22semidirect
443. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#34922
#429802
#429522
#428032
#427902
#426752
#424762
#424452
#424242
#413722
#405182
#399622
#398832
#398562
#391652
#391262
#389502
#389082
#383572
#378362
#356392
#356202
#355642
#355182
#353282
#352572
#352232
#347432
C2×#24422
#342502