Finite Group Databasebeta

← #7654832

Subgroups — #7654832

Order 512.

8390 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#41961C214yesmaximal, complemented
4#41950C214yesmaximal, complemented
5#41932C214yesmaximal, complemented
6#39739C212yesmaximal, complemented
7#39161C212yesmaximal, complemented
8#39130C214yesmaximal, complemented
9#38089C212yesmaximal, complemented
10#38078C212yesmaximal, complemented
11#37681C212yesmaximal, complemented
12#37674C212yesmaximal, complemented
13#37657C214yesmaximal, complemented
14#37648C214yesmaximal, complemented
15#37618C211yesmaximal, characteristic, complemented
16#37616C211yesmaximal, characteristic, complemented
17#37614C211yesmaximal, characteristic, complemented
18#36362C212yesmaximal, complemented
19#36121C212yesmaximal, complemented
20#36096C214yesmaximal, complemented
21#35683C214yesmaximal, complemented
22#35241C211yesmaximal, characteristic, complemented
23#35240C211yesmaximal, characteristic, complemented
24#35191C211yesmaximal, characteristic, complemented
25#35190C211yesmaximal, characteristic, complemented
26#35166C211yesmaximal, characteristic, complemented
27#35165C211yesmaximal, characteristic, complemented
28#34937C211yesmaximal, characteristic, complemented
29#34936C211yesmaximal, characteristic, complemented
30C2×#2541C211yesmaximal, characteristic, complemented
31#34127C211yesmaximal, characteristic, complemented
32#3508—216no—
33#3481—216no—
34C2×#559C2211yescharacteristic, complemented
35C2×#559C2212yescomplemented
36C2×#559C2212yescomplemented
37C2×#554C2211yescharacteristic
38C2×#554C2211yescharacteristic, complemented
39C2×#553C2211yescharacteristic
40C2×#553C2211yescharacteristic, complemented
41C2×#553C2212yescomplemented
42C2×#551C2212yes—
43C2×#551C2212yescomplemented
44C2×#550C2212yescomplemented
45C2×#550C2212yescomplemented
46C2×#546C2212yes—
47C2×#546C2211yescharacteristic
48C2×#546C2212yes—
49C2×#546C2212yes—
50C2×#546C2212yescomplemented
51C2×#546C2212yescomplemented
52C2×#546C2211yescharacteristic, complemented
53C2×D42C2211yescharacteristic
54C2×#540C2212yescomplemented
55C2×#540C2212yescomplemented
56C2×#537C2214yescomplemented
57C2×#535C2212yes—
58C2×#535C2212yescomplemented
59C2×#533C2211yescharacteristic, complemented
60C2×#532C2211yescharacteristic, complemented
61C2×#532C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic, complemented
65C2×#532C2212yescomplemented
66C22×#127C2212yes—
67C22×#127C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic, complemented
70C2×#529C2212yescomplemented
71C2×#525C2212yes—
72C2×#525C2212yescomplemented
73C2×#525C2214yescomplemented
74C22×#121C2214yescomplemented
75C2×#518C2212yescomplemented
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic, complemented
78C22×C4×D4C2212yes—
79C22×C4×D4C2211yescharacteristic
80C22×C4×D4C2211yescharacteristic, complemented
81#2861C2212yescomplemented
82#2858C2212yescomplemented
83#2857C2212yescomplemented
84#2856C2212yescomplemented
85#2856C2212yescomplemented
86#2850C2212yes—
87#2850C2214yescomplemented
88#2848C2214yescomplemented
89#2847C2214yescomplemented
90#2818C2214yescomplemented
91#2815C2214yescomplemented
92#2813C2214yescomplemented
93#2733C2218yescomplemented
94#2730C2218yescomplemented
95#2694C2218yescomplemented
96#2682C2218yescomplemented
97#2681C2218yescomplemented
98#2681C2218yescomplemented
99#2675C2218yescomplemented
100#2673C2218yescomplemented
101#2673C2218yescomplemented
102#2671C2218yescomplemented
103#2669C2218yescomplemented
104#2669C2218yescomplemented
105#2664C2214yescomplemented
106#2661C2214yescomplemented
107#2657C2212yescomplemented
108#2657C2212yescomplemented
109#2656C2214yescomplemented
110#2641C2212yescomplemented
111#2640C2212yescomplemented
112#2636C2214yescomplemented
113#2635C2214yescomplemented
114#2633C2214yescomplemented
115#2631C2214yescomplemented
116#2620C2214yescomplemented
117#2620C2212yescomplemented
118#2619C2214yescomplemented
119#2619C2212yescomplemented
120#2617C2214yescomplemented
121#2615C2214yescomplemented
122#2613C2214yescomplemented
123#2603C2214yescomplemented
124#2598C2214yescomplemented
125#2568C2211yescharacteristic, complemented
126#2566C2212yescomplemented
127#2565C2212yescomplemented
128#2554C2218yescomplemented
129#2548C2211yescharacteristic, complemented
130#2548C2211yescharacteristic, complemented
131#2547C2211yescharacteristic, complemented
132#2547C2211yescharacteristic, complemented
133#2547C2211yescharacteristic, complemented
134#2546C2211yescharacteristic, complemented
135#2545C2212yescomplemented
136#2545C2212yescomplemented
137#2544C2212yescomplemented
138#2544C2212yescomplemented
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2543C2214yescomplemented
142#2542C2211yescharacteristic, complemented
143#2542C2211yescharacteristic, complemented
144#2542C2212yescomplemented
145#2542C2211yescharacteristic, complemented
146#2541C2212yes—
147#2541C2211yescharacteristic
148#2541C2211yescharacteristic
149#2541C2214yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2211yescharacteristic, complemented
153#2541C2211yescharacteristic, complemented
154#2541C2214yescomplemented
155#2541C2211yescharacteristic, complemented
156#2541C2211yescharacteristic, complemented
157#2540C2214yescomplemented
158#2540C2214yescomplemented
159#2540C2214yescomplemented
160#2539C2214yescomplemented
161#2537C2214yescomplemented
162#2536C2214yescomplemented
163#2535C2214yescomplemented
164#2535C2214yescomplemented
165#2502C2212yescomplemented
166#2501C2212yescomplemented
167#2500C2212yescomplemented
168#2498C2214yescomplemented
169#2482C2214yescomplemented
170#2467C2218yescomplemented
171#2464C2218yescomplemented
172#2464C2218yescomplemented
173#2463C2218yescomplemented
174#2456C2218yescomplemented
175#2456C2218yescomplemented
176#2456C2218yescomplemented
177#2445C2218yescomplemented
178#2443C2218yescomplemented
179#2437C2218yescomplemented
180#2435C2212yes—
181#2435C2212yescomplemented
182#2433C2212yes—
183#2433C2212yescomplemented
184#2432C2212yescomplemented
185#2431C2212yescomplemented
186#2431C2212yescomplemented
187#2431C2212yescomplemented
188#2431C2212yescomplemented
189#2428C2218yescomplemented
190#2424C2218yescomplemented
191#2424C2218yescomplemented
192#2418C2218yes—
193#2417C2214yescomplemented
194#2416C2214yescomplemented
195#2414C2214yescomplemented
196#2410C2218yes—
197#2408C2214yescomplemented
198#2408C2218yescomplemented
199#2407C2214yescomplemented
200#2407C2214yescomplemented
201#2403C2218yes—
202#2397C2214yescomplemented
203#2392C2214yescomplemented
204C2×#392C2214yescomplemented
205#2358C2218yescomplemented
206#2355C2212yescomplemented
207#2352C2212yes—
208#2352C2212yescomplemented
209D4×C4⋊C4C2212yescomplemented
210#2347C2212yescomplemented
211#2343C2212yescomplemented
212#2343C2212yescomplemented
213#2339C2212yes—
214D4×C22⋊C4C2218yescomplemented
215#2328C2212yescomplemented
216#2326C2212yescomplemented
217#2326C2212yescomplemented
218#2326C2212yescomplemented
219#2324C2214yescomplemented
220#2323C2214yescomplemented
221#2311C2212yescomplemented
222C4×#127C2212yescomplemented
223C4×#127C2212yescomplemented
224C4×#121C2214yescomplemented
225#2297C2212yescomplemented
226#2295C2212yescomplemented
227C2×#390C2212yescomplemented
228#2290C2212yes—
229#2290C2212yescomplemented
230#2285C2211yescharacteristic, complemented
231#2283C2211yescharacteristic, complemented
232#2283C2211yescharacteristic, complemented
233C42×D4C2212yescomplemented
234C4×#117C2211yescharacteristic, complemented
235C2×C4×C4⋊C4C2211yescharacteristic, complemented
236C2×C4×C4⋊C4C2211yescharacteristic, complemented
237C22×#41C2311yescharacteristic
238C22×#41C2312yes—
239C22×#41C2312yes—
240C22×#41C2312yes—
241C22×#41C2312yes—
242C22×#41C2312yes—
243C22×#41C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2312yes—
247C23×D4C2312yes—
248C23×D4C2312yes—
249C23×D4C2312yes—
250C23×D4C2318yes—
251C24×C4C2312yes—
252C24×C4C2312yes—
253#559—28no—
254#559—216no—
255#559—216no—
256#554—28no—
257#554—28no—
258#553—28no—
259#553—28no—
260#553—216no—
261#551—216no—
262#551—216no—
263#550—216no—
264#550—216no—
265#546—216no—
266#546—28no—
267#546—216no—
268#546—216no—
269#546—216no—
270#546—216no—
271#546—28no—
272D42—28no—
273#540—216no—
274#540—216no—
275#537—416no—
276#535—216no—
277#535—48no—
278#533—28no—
279#532—28no—
280#532—28no—
281#532—28no—
282#532—28no—
283#532—28no—
284#532—48no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2311yescharacteristic
288C2×C4⋊Q8C2312yes—
289C2×#127—28no—
290C2×#127—48no—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2312yes—
295C2×#127C2312yes—
296C2×#127C2311yescharacteristic
297C2×#127C2314yes—
298C2×#127C2311yescharacteristic
299C2×#127C2311yescharacteristic
300C2×#127C2312yes—
301C2×#127C2312yes—
302C2×#127C2312yes—
303C2×#127C2312yes—
304C2×#127C2318yes—
305#529—216no—
306#529—28no—
307#529—28no—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330#525—216no—
331#525—216no—
332#525—416no—
333C2×#123C2312yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2318yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2318yes—
359C2×#121—416no—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2318yes—
387C2×#121C2318yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2318yes—
391C2×#121C2318yes—
392C2×#121C2318yes—
393C2×#121C2318yes—
394C2×#121C2318yes—
395C2×#120C2314yes—
396C2×#120C2312yes—
397C2×#120C2314yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×#120C2318yes—
402C2×#120C2318yes—
403C2×#120C2318yes—
404#518—216no—
405C4×#41—28no—
406C4×#41D4116yescomplemented
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×D4—216no—
414C2×C4×D4—28no—
415C2×C4×D4—28no—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2318yes—
448C2×C4×D4C2318yes—
449C2×C4×D4C2318yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2311yescharacteristic
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2314yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2314yes—
478C22×C22⋊C4C2318yes—
479C22×C42C2312yes—
480C22×C42C2312yes—
481C22×C42C2312yes—
482C22×C42C2311yescharacteristic
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485#400C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2318yes—
490#399C2318yes—
491#398C2318yes—
492#398C2314yes—
493#398C2318yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2318yes—
498#396C2318yes—
499#396C2318yes—
500#396C2318yes—
501#396C2318yes—
502#394C2314yes—
503#394C2314yes—
504#394C2318yes—
505#394C2318yes—
506#394C2318yes—
507#394C2318yes—
508#394C2318yes—
509#394C2318yes—
510#394C2318yes—
511#394C2318yes—
512#394C2318yes—
513#394C2318yes—
514#394C2318yes—
515#394C2318yes—
516#393C2318yes—
517#392C2314yes—
518#392C2314yes—
519#392C2318yes—
520#392C2318yes—
521#392C2314yes—
522#392C2314yes—
523#392C2318yes—
524#392C2318yes—
525#392C2318yes—
526#392C2318yes—
527#392C2318yes—
528#392C2314yes—
529#392C2318yes—
530#392C2314yes—
531#392C2318yes—
532#392C2318yes—
533#392C2318yes—
534#392C2318yes—
535#392C2318yes—
536#392C2318yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2318yes—
548#390C2318yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2318yes—
556#390C2312yes—
557#390C2312yes—
558#390C2318yes—
559#390C2318yes—
560#390C2312yes—
561#390C2318yes—
562#390C2314yes—
563#390C2318yes—
564#389C2314yes—
565#389C2318yes—
566#389C2314yes—
567#388C2318yes—
568#388C2318yes—
569#388C2318yes—
570#388C2318yes—
571#388C2318yes—
572#388C2318yes—
573#388C2318yes—
574#388C2314yes—
575#388C2314yes—
576#388C2318yes—
577#388C2318yes—
578#387C2318yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#386C2318yes—
584#386C2318yes—
585#386C2318yes—
586#386C2318yes—
587#386C2318yes—
588#386C2318yes—
589#386C2318yes—
590#386C2318yes—
591#386C2318yes—
592#386C2318yes—
593#386C2314yes—
594#386C2314yes—
595#386C2318yes—
596#386C2318yes—
597#386C2318yes—
598#385C2318yes—
599#385C2318yes—
600#385C2318yes—
601#385C2318yes—
602#385C2318yes—
603#385C2318yes—
604#385C2314yes—
605#385C2314yes—
606#384C2312yes—
607#384C2312yes—
608#384C2312yes—
609#384C2312yes—
610#383C2312yes—
611#383C2312yes—
612#382C2312yes—
613#382C2312yes—
614#382C2312yes—
615#382C2312yes—
616#381C2312yes—
617#381C2312yes—
618#380C2318yes—
619#380C2314yes—
620#380C2314yes—
621#380C2312yes—
622#380C2314yes—
623#380C2312yes—
624#380C2318yes—
625#380C2312yes—
626#380C2312yes—
627#379C2318yes—
628#379C2318yes—
629C4×C4⋊C4C2312yes—
630C4×C4⋊C4C2312yes—
631C4×C4⋊C4C2311yescharacteristic
632C4×C4⋊C4C2312yes—
633C4×C4⋊C4C2312yes—
634C4×C4⋊C4C2312yes—
635C4×C4⋊C4C2312yes—
636C4×C4⋊C4C2314yes—
637C4×C4⋊C4C2312yes—
638C4×C4⋊C4C2311yescharacteristic
639C4×C4⋊C4C2311yescharacteristic
640C4×C4⋊C4C2312yes—
641C4×C4⋊C4C2311yescharacteristic
642C4×C22⋊C4C2314yes—
643C4×C22⋊C4C2312yes—
644C4×C22⋊C4C2314yes—
645C4×C22⋊C4C2318yes—
646C4×C22⋊C4C2312yes—
647C4×C22⋊C4C2312yes—
648C4×C22⋊C4C2312yes—
649#376C2312yes—
650#376C2312yes—
651#376C2312yes—
652C2×#95C2312yes—
653C2×#95C2312yes—
654C43C2312yes—
655C25C2412yes—
656C25C2414yes—
657C25C2412yes—
658C2×#41—24no—
659C2×#41—24no—
660C2×#41—28no—
661C2×#41—28no—
662C2×#41—28no—
663C2×#41—28no—
664C2×#41—28no—
665C2×#41—48no—
666C2×#41—44no—
667C2×#41—42no—
668C2×#41—48no—
669C2×#41—44no—
670C2×#41—44no—
671C2×#41—48no—
672C2×#41—44no—
673C2×#41—44no—
674C2×#41C2×D418yes—
675C22×Q8C2411yescharacteristic
676C22×Q8C2412yes—
677C22×Q8C2412yes—
678C22×Q8C2412yes—
679C22×Q8C2411yescharacteristic
680C22×D4—28no—
681C22×D4—24no—
682C22×D4—24no—
683C22×D4—24no—
684C22×D4—24no—
685C22×D4—28no—
686C22×D4—28no—
687C22×D4—28no—
688C22×D4—42no—
689C22×D4—42no—
690C22×D4—48no—
691C22×D4—416no—
692C22×D4—44no—
693C22×D4—44no—
694C22×D4—48no—
695C22×D4—416no—
696C22×D4—48no—
697C22×D4—416no—
698C22×D4C2412yes—
699C22×D4C2411yescharacteristic
700C22×D4C2411yescharacteristic
701C22×D4C2412yes—
702C22×D4C2412yes—
703C22×D4C2412yes—
704C22×D4C2412yes—
705C22×D4C2412yes—
706C22×D4C2412yes—
707C22×D4C2418yes—
708C22×D4C2412yes—
709C22×D4C2411yescharacteristic
710C22×D4C2411yescharacteristic
711C22×D4C2411yescharacteristic
712C22×D4C2412yes—
713C22×D4C2412yes—
714C22×D4C2412yes—
715C22×D4C2412yes—
716C22×D4C2414yes—
717C22×D4C2414yes—
718C22×D4C2414yes—
719C22×D4C2412yes—
720C22×D4C2412yes—
721C22×D4C2412yes—
722C22×D4C2414yes—
723C22×D4C2414yes—
724C22×D4C2418yes—
725C22×D4C2414yes—
726C22×D4C2418yes—
727C22×D4C2414yes—
728C22×D4C2418yes—
729C22×D4C2418yes—
730C22×D4C2418yes—
731C22×D4C2411yescharacteristic
732C23×C4—28no—
733C23×C4—28no—
734C23×C4—48no—
735C23×C4—48no—
736C23×C4C2412yes—
737C23×C4C2412yes—
738C23×C4C2412yes—
739C23×C4C2414yes—
740C23×C4C2412yes—
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2414yes—
753C23×C4C2414yes—
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C4⋊Q8—24no—
763C4⋊Q8—24no—
764C4⋊Q8—24no—
765C4⋊Q8—44no—
766#127—216no—
767#127—28no—
768#127—28no—
769#127—24no—
770#127—24no—
771#127—28no—
772#127—28no—
773#127—28no—
774#127—24no—
775#127—44no—
776#127—44no—
777#127—44no—
778#127—44no—
779#127—416no—
780#126—28no—
781#126—28no—
782#126—28no—
783#126—28no—
784#125—28no—
785#125—24no—
786#125—24no—
787#125—28no—
788#124—28no—
789#124—216no—
790#124—28no—
791#124—24no—
792#124—24no—
793#124—28no—
794#124—28no—
795#124—28no—
796#124—28no—
797#124—28no—
798#124—44no—
799#124—44no—
800#124—44no—
801#124—44no—
802#123—28no—
803#123—28no—
804#123—28no—
805#123—28no—
806#123—28no—
807#123—28no—
808#123—216no—
809#123—216no—
810#123—216no—
811#123—216no—
812#123—28no—
813#123—28no—
814#123—416no—
815C22⋊Q8—28no—
816C22⋊Q8—24no—
817C22⋊Q8—24no—
818C22⋊Q8—28no—
819C22⋊Q8—28no—
820C22⋊Q8—28no—
821C22⋊Q8—28no—
822C22⋊Q8—216no—
823C22⋊Q8—28no—
824C22⋊Q8—28no—
825C22⋊Q8—416no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828#121—28no—
829#121—28no—
830#121—24no—
831#121—24no—
832#121—28no—
833#121—28no—
834#121—28no—
835#121—28no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—24no—
841#121—24no—
842#121—28no—
843#121—28no—
844#121—216no—
845#121—216no—
846#121—28no—
847#121—28no—
848#121—216no—
849#121—216no—
850#121—216no—
851#121—216no—
852#121—416no—
853#121—416no—
854#121—416no—
855#121—416no—
856#121—416no—
857#121—416no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—416no—
863#120—28no—
864#120—28no—
865#120—216no—
866#120—216no—
867#120—28no—
868#120—28no—
869#120—416no—
870#120—416no—
871#120—416no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8C2×D418yescomplemented
877C4×Q8C2×D418yescomplemented
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—216no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—416no—
910C4×D4—416no—
911C4×D4—48no—
912C4×D4—416no—
913C4×D4C2×D418yes—
914C4×D4C2×D418yes—
915C4×D4C2×D418yes—
916C4×D4C2×D418yes—
917C4×D4C2×D418yescomplemented
918C4×D4C2×D418yescomplemented
919#117—24no—
920#117—28no—
921#117—28no—
922#117—28no—
923#117—28no—
924#117—28no—
925#117—44no—
926#117C2×D418yes—
927#117C2×D418yescomplemented
928#117C2×D418yescomplemented
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2418yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2418yes—
963C2×C4⋊C4C2418yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2418yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C22⋊C4—28no—
974C2×C22⋊C4—28no—
975C2×C22⋊C4—28no—
976C2×C22⋊C4—28no—
977C2×C22⋊C4—216no—
978C2×C22⋊C4—216no—
979C2×C22⋊C4—416no—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2418yes—
999C2×C22⋊C4C2418yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2418yes—
1009C2×C22⋊C4C2418yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2418yes—
1015C2×C22⋊C4C2418yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2418yes—
1018C2×C22⋊C4C2418yes—
1019C2×C22⋊C4C2418yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2418yes—
1022C2×C22⋊C4C2418yes—
1023C2×C22⋊C4C2418yes—
1024C2×C22⋊C4C2418yes—
1025C2×C22⋊C4C2418yes—
1026C2×C22⋊C4C2418yes—
1027C2×C22⋊C4C2418yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C42—28no—
1035C2×C42—44no—
1036C2×C42—44no—
1037C2×C42C2×D418yes—
1038C2×C42C2×D418yescomplemented
1039C2×C42C2×D418yescomplemented
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2418yes—
1077#95C2418yes—
1078#95C2418yes—
1079#95C2418yes—
1080#95C2418yes—
1081#95C2418yes—
1082C24—24no—
1083C24—24no—
1084C24—24no—
1085C24—28no—
1086C24—28no—
1087C24—24no—
1088C24—216no—
1089C24—44no—
1090C24—42no—
1091C24—42no—
1092C24—44no—
1093C24—48no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24C2512yes—
1098C24C2512yes—
1099C24C2514yes—
1100C24C2514yes—
1101C24C2511yescharacteristic
1102C24C2511yescharacteristic
1103C24C2512yes—
1104C24C2511yescharacteristic
1105#41—416no—
1106#41—416no—
1107#41—816no—
1108#41—816no—
1109#41—816no—
1110#41—816no—
1111#41—816no—
1112C2×Q8—22no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—24no—
1116C2×Q8—28no—
1117C2×Q8—24no—
1118C2×Q8—22no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—42no—
1122C2×Q8—44no—
1123C2×Q8C22×D414yes—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—216no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—216no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—216no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—216no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—416no—
1171C2×D4—416no—
1172C2×D4—48no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—48no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—432no—
1183C2×D4—48no—
1184C2×D4—44no—
1185C2×D4—48no—
1186C2×D4—48no—
1187C2×D4—48no—
1188C2×D4—48no—
1189C2×D4—48no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—48no—
1194C2×D4—44no—
1195C2×D4—48no—
1196C2×D4—44no—
1197C2×D4—48no—
1198C2×D4—48no—
1199C2×D4—48no—
1200C2×D4—44no—
1201C2×D4—48no—
1202C2×D4—48no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—48no—
1206C2×D4—48no—
1207C2×D4—48no—
1208C2×D4—432no—
1209C2×D4—816no—
1210C2×D4—816no—
1211C2×D4—864no—
1212C2×D4C22×D414yes—
1213C2×D4C22×D414yes—
1214C2×D4C22×D414yes—
1215C2×D4H(5,𝔽2)14yes—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—48no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—48no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—816no—
1268C22×C4—816no—
1269C22×C4C22×D414yes—
1270C22×C4C22×D414yes—
1271C22×C4C22×D414yes—
1272C22×C4C22×D414yes—
1273C22×C4C22×D414yes—
1274C22×C4C22×D414yes—
1275C22×C4C22×D414yes—
1276C22×C4C22×D414yes—
1277C22×C4C22×D414yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—216no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—48no—
1331C4⋊C4—48no—
1332C4⋊C4—48no—
1333C4⋊C4C22×D414yes—
1334C4⋊C4C22×D414yes—
1335C4⋊C4C22×D414yes—
1336C4⋊C4C22×D414yes—
1337C4⋊C4C22×D414yes—
1338C4⋊C4C22×D414yes—
1339C4⋊C4H(5,𝔽2)18yes—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—216no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—216no—
1371C22⋊C4—216no—
1372C22⋊C4—28no—
1373C22⋊C4—216no—
1374C22⋊C4—48no—
1375C22⋊C4—48no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—48no—
1379C22⋊C4—48no—
1380C22⋊C4—48no—
1381C22⋊C4—48no—
1382C22⋊C4—48no—
1383C22⋊C4—48no—
1384C22⋊C4—48no—
1385C22⋊C4—48no—
1386C22⋊C4—48no—
1387C22⋊C4—48no—
1388C22⋊C4C22×D414yes—
1389C22⋊C4C22×D414yes—
1390C22⋊C4C22×D414yes—
1391C22⋊C4C22×D414yes—
1392C22⋊C4C22×D414yes—
1393C22⋊C4C22×D414yes—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—28no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—24no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42C22×D414yes—
1407C42C22×D414yes—
1408C42C22×D414yes—
1409C42C22×D414yes—
1410C42C22×D414yes—
1411C42C22×D414yes—
1412C42C22×D414yes—
1413C42C22×D414yes—
1414C42C22×D414yes—
1415C42C22×D414yes—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—22no—
1420C23—22no—
1421C23—21no—
1422C23—24no—
1423C23—22no—
1424C23—21no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—28no—
1437C23—28no—
1438C23—22no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—28no—
1446C23—28no—
1447C23—24no—
1448C23—24no—
1449C23—22no—
1450C23—24no—
1451C23—48no—
1452C23—48no—
1453C23—416no—
1454C23—48no—
1455C23—48no—
1456C23—416no—
1457C23—84no—
1458C23—84no—
1459C23—88no—
1460C23—88no—
1461C23—816no—
1462C23—88no—
1463C23—88no—
1464C23—816no—
1465C23—88no—
1466C23C23×D412yes—
1467C23C23×D412yes—
1468C23C23×D412yes—
1469C23C2×H(5,𝔽2)14yes—
1470C23#58514yes—
1471C23C2611yescharacteristic
1472Q8—44no—
1473Q8—44no—
1474Q8—48no—
1475Q8—48no—
1476Q8—84no—
1477D4—28no—
1478D4—28no—
1479D4—28no—
1480D4—44no—
1481D4—48no—
1482D4—48no—
1483D4—432no—
1484D4—48no—
1485D4—48no—
1486D4—416no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—44no—
1492D4—44no—
1493D4—48no—
1494D4—48no—
1495D4—48no—
1496D4—48no—
1497D4—816no—
1498D4—88no—
1499D4—88no—
1500D4—84no—
1501D4—816no—
1502D4—88no—
1503D4—88no—
1504D4—84no—
1505D4—84no—
1506D4—88no—
1507D4—88no—
1508D4—816no—
1509D4—816no—
1510D4—168no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—28no—
1527C2×C4—28no—
1528C2×C4—28no—
1529C2×C4—28no—
1530C2×C4—28no—
1531C2×C4—28no—
1532C2×C4—28no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—28no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—416no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—88no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4—84no—
1576C2×C4—84no—
1577C2×C4C23×D412yes—
1578C2×C4C23×D412yes—
1579C2×C4C23×D412yes—
1580C2×C4C23×D412yes—
1581C2×C4C23×D412yes—
1582C2×C4C23×D412yes—
1583C2×C4C23×D412yes—
1584C2×C4C23×D412yes—
1585C2×C4C23×D412yes—
1586C2×C4C23×D412yes—
1587C2×C4C23×D412yes—
1588C2×C4C23×D412yes—
1589C2×C4C2×H(5,𝔽2)18yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×H(5,𝔽2)14yes—
1592C2×C4#58512yes—
1593C22—24no—
1594C22—24no—
1595C22—22no—
1596C22—22no—
1597C22—28no—
1598C22—22no—
1599C22—22no—
1600C22—24no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—48no—
1613C22—44no—
1614C22—48no—
1615C22—44no—
1616C22—44no—
1617C22—48no—
1618C22—44no—
1619C22—48no—
1620C22—44no—
1621C22—44no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—44no—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—44no—
1632C22—816no—
1633C22—816no—
1634C22—1616no—
1635C22#344914yes—
1636C22C24×D411yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)12yes—
1639C22C2×#58512yes—
1640C22C2×#58511yescharacteristic
1641C4—28no—
1642C4—22no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—44no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4#348814yes—
1663C4#349814yes—
1664C2—24no—
1665C2—42no—
1666C2—44no—
1667C2—42no—
1668C2—82no—
1669C2—82no—
1670C2—84no—
1671C2—84no—
1672C2C2×#344911yescharacteristic
1673C2C2×#348811yescharacteristic
1674C2C2×#349811yescharacteristic
1675C2#6301212yes—
1676C2#6301912yes—
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×#3508C2semidirect
2. C2×#3481C2semidirect
3. #41961C2semidirect
4. #41950C2semidirect
5. #41932C2semidirect
6. #39739C2semidirect
7. #39161C2semidirect
8. #39130C2semidirect
9. #38089C2semidirect
10. #38078C2semidirect
11. #37681C2semidirect
12. #37674C2semidirect
13. #37657C2semidirect
14. #37648C2semidirect
15. #37618C2semidirect
16. #37616C2semidirect
17. #37614C2semidirect
18. #36362C2semidirect
19. #36121C2semidirect
20. #36096C2semidirect
21. #35683C2semidirect
22. #35241C2semidirect
23. #35240C2semidirect
24. #35191C2semidirect
25. #35190C2semidirect
26. #35166C2semidirect
27. #35165C2semidirect
28. #34937C2semidirect
29. #34936C2semidirect
30. C2×#2541C2semidirect
31. #34127C2semidirect
34. C2×#559C22semidirect
35. C2×#559C22semidirect
36. C2×#559C22semidirect
38. C2×#554C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
43. C2×#551C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
54. C2×#540C22semidirect
55. C2×#540C22semidirect
56. C2×#537C22semidirect
58. C2×#535C22semidirect
59. C2×#533C22semidirect
60. C2×#532C22semidirect
61. C2×#532C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
67. C22×#127C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
72. C2×#525C22semidirect
73. C2×#525C22semidirect
74. C22×#121C22semidirect
75. C2×#518C22semidirect
77. C2×C4×#41C22semidirect
80. C22×C4×D4C22semidirect
81. #2861C22semidirect
82. #2858C22semidirect
83. #2857C22semidirect
84. #2856C22semidirect
85. #2856C22semidirect
87. #2850C22semidirect
88. #2848C22semidirect
89. #2847C22semidirect
90. #2818C22semidirect
91. #2815C22semidirect
92. #2813C22semidirect
93. #2733C22semidirect
94. #2730C22semidirect
95. #2694C22semidirect
96. #2682C22semidirect
97. #2681C22semidirect
98. #2681C22semidirect
99. #2675C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2671C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2664C22semidirect
106. #2661C22semidirect
107. #2657C22semidirect
108. #2657C22semidirect
109. #2656C22semidirect
110. #2641C22semidirect
111. #2640C22semidirect
112. #2636C22semidirect
113. #2635C22semidirect
114. #2633C22semidirect
115. #2631C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
118. #2619C22semidirect
119. #2619C22semidirect
120. #2617C22semidirect
121. #2615C22semidirect
122. #2613C22semidirect
123. #2603C22semidirect
124. #2598C22semidirect
125. #2568C22semidirect
126. #2566C22semidirect
127. #2565C22semidirect
128. #2554C22semidirect
129. #2548C22semidirect
130. #2548C22semidirect
131. #2547C22semidirect
132. #2547C22semidirect
133. #2547C22semidirect
134. #2546C22semidirect
135. #2545C22semidirect
136. #2545C22semidirect
137. #2544C22semidirect
138. #2544C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2543C22semidirect
142. #2542C22semidirect
143. #2542C22semidirect
144. #2542C22semidirect
145. #2542C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2539C22semidirect
161. #2537C22semidirect
162. #2536C22semidirect
163. #2535C22semidirect
164. #2535C22semidirect
165. #2502C22semidirect
166. #2501C22semidirect
167. #2500C22semidirect
168. #2498C22semidirect
169. #2482C22semidirect
170. #2467C22semidirect
171. #2464C22semidirect
172. #2464C22semidirect
173. #2463C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2445C22semidirect
178. #2443C22semidirect
179. #2437C22semidirect
181. #2435C22semidirect
183. #2433C22semidirect
184. #2432C22semidirect
185. #2431C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
188. #2431C22semidirect
189. #2428C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
193. #2417C22semidirect
194. #2416C22semidirect
195. #2414C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2407C22semidirect
200. #2407C22semidirect
202. #2397C22semidirect
203. #2392C22semidirect
204. C2×#392C22semidirect
205. #2358C22semidirect
206. #2355C22semidirect
208. #2352C22semidirect
209. D4×C4⋊C4C22semidirect
210. #2347C22semidirect
211. #2343C22semidirect
212. #2343C22semidirect
214. D4×C22⋊C4C22semidirect
215. #2328C22semidirect
216. #2326C22semidirect
217. #2326C22semidirect
218. #2326C22semidirect
219. #2324C22semidirect
220. #2323C22semidirect
221. #2311C22semidirect
222. C4×#127C22semidirect
223. C4×#127C22semidirect
224. C4×#121C22semidirect
225. #2297C22semidirect
226. #2295C22semidirect
227. C2×#390C22semidirect
229. #2290C22semidirect
230. #2285C22semidirect
231. #2283C22semidirect
232. #2283C22semidirect
233. C42×D4C22semidirect
234. C4×#117C22semidirect
235. C2×C4×C4⋊C4C22semidirect
236. C2×C4×C4⋊C4C22semidirect
406. C4×#41D4semidirect
876. C4×Q8C2×D4semidirect
877. C4×Q8C2×D4semidirect
917. C4×D4C2×D4semidirect
918. C4×D4C2×D4semidirect
927. #117C2×D4semidirect
928. #117C2×D4semidirect
1038. C2×C42C2×D4semidirect
1039. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#34812
#419612
#419502
#419322
#397392
#391612
#391302
#380892
#380782
#376812
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