Finite Group Databasebeta

← #7987496

Subgroups — #7987496

Order 512.

7399 conjugacy classes of subgroups.

The subgroup lattice has 1984 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic, complemented
4#59104C212yesmaximal, complemented
5#59079C211yesmaximal, characteristic, complemented
6#59058C212yesmaximal, complemented
7#59056C211yesmaximal, characteristic, complemented
8#51891C214yesmaximal, complemented
9#51782C214yesmaximal, complemented
10#45449C214yesmaximal, complemented
11#45423C212yesmaximal, complemented
12#45263C212yesmaximal, complemented
13#45159C212yesmaximal, complemented
14#45093C212yesmaximal, complemented
15#42677C212yesmaximal, complemented
16#42674C212yesmaximal, complemented
17#42438C212yesmaximal, complemented
18#42433C212yesmaximal, complemented
19#39362C211yesmaximal, characteristic, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39171C211yesmaximal, characteristic, complemented
22#39137C211yesmaximal, characteristic, complemented
23#37787C212yesmaximal, complemented
24#37758C212yesmaximal, complemented
25#37669C214yesmaximal, complemented
26#36444C211yesmaximal, characteristic, complemented
27#36404C211yesmaximal, characteristic, complemented
28#36162C212yesmaximal, complemented
29#36160C212yesmaximal, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35226C212yesmaximal, complemented
32#35168C212yesmaximal, complemented
33#34727C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yescomplemented
38#3481—216no—
39C2×#559C2211yescharacteristic
40C2×#555C2212yes—
41C2×#555C2211yescharacteristic, complemented
42C2×#554C2211yescharacteristic
43C2×#554C2211yescharacteristic
44C2×#553C2212yes—
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#552C2212yescomplemented
48C2×#551C2214yes—
49C2×D4×Q8C2211yescharacteristic, complemented
50C2×#548C2212yes—
51C2×#548C2212yescomplemented
52C2×#547C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×D42C2211yescharacteristic
56C2×#544C2212yescomplemented
57C2×#542C2214yescomplemented
58C2×#540C2212yes—
59C2×#537C2212yescomplemented
60C2×#536C2212yescomplemented
61C2×#535C2212yes—
62C2×#535C2212yes—
63C2×#533C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic, complemented
69C2×#525C2214yes—
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C22×C4×D4C2212yes—
73C22×C4×D4C2212yes—
74#2858C2211yescharacteristic
75#2857C2211yescharacteristic, complemented
76#2857C2212yescomplemented
77#2856C2211yescharacteristic
78#2855C2212yescomplemented
79#2849C2214yescomplemented
80#2847C2214yescomplemented
81#2847C2214yescomplemented
82#2815C2214yescomplemented
83#2813C2214yescomplemented
84#2733C2214yescomplemented
85#2730C2214yescomplemented
86#2728C2214yescomplemented
87#2727C2214yescomplemented
88#2725C2214yescomplemented
89#2723C2214yescomplemented
90#2716C2214yescomplemented
91#2714C2214yescomplemented
92#2710C2214yescomplemented
93#2710C2214yescomplemented
94#2707C2214yescomplemented
95#2706C2214yescomplemented
96#2705C2214yescomplemented
97#2705C2214yescomplemented
98#2705C2214yescomplemented
99#2703C2214yescomplemented
100#2696C2214yescomplemented
101#2696C2214yescomplemented
102#2696C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2678C2214yes—
106#2678C2214yes—
107#2678C2214yescomplemented
108#2676C2214yescomplemented
109#2674C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2670C2214yes—
113#2670C2214yescomplemented
114#2670C2214yescomplemented
115#2669C2214yes—
116#2669C2214yescomplemented
117#2640C2212yescomplemented
118#2635C2214yescomplemented
119#2630C2214yescomplemented
120#2624C2214yescomplemented
121#2620C2212yes—
122#2620C2212yescomplemented
123#2619C2214yescomplemented
124#2617C2214yescomplemented
125#2617C2214yescomplemented
126#2615C2212yes—
127#2568C2211yescharacteristic, complemented
128#2563C2212yescomplemented
129#2560C2214yescomplemented
130#2548C2212yescomplemented
131#2547C2211yescharacteristic
132#2547C2212yescomplemented
133#2544C2212yescomplemented
134#2541C2211yescharacteristic
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2212yescomplemented
138#2541C2212yescomplemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2538C2211yescharacteristic, complemented
143#2537C2211yescharacteristic
144#2537C2212yescomplemented
145#2537C2212yescomplemented
146#2491C2212yes—
147#2491C2214yescomplemented
148#2490C2212yescomplemented
149#2490C2212yescomplemented
150#2489C2212yescomplemented
151#2489C2212yescomplemented
152#2485C2214yescomplemented
153#2482C2214yescomplemented
154#2479C2212yescomplemented
155#2477C2214yescomplemented
156#2476C2212yescomplemented
157#2474C2212yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2471C2212yescomplemented
161#2471C2214yescomplemented
162#2470C2214yescomplemented
163#2467C2212yescomplemented
164#2467C2214yescomplemented
165#2467C2214yescomplemented
166#2467C2214yescomplemented
167#2464C2214yescomplemented
168#2460C2214yescomplemented
169#2460C2214yescomplemented
170#2459C2212yescomplemented
171#2459C2214yescomplemented
172#2459C2214yescomplemented
173#2457C2214yescomplemented
174#2457C2214yescomplemented
175#2456C2212yescomplemented
176#2456C2212yescomplemented
177#2456C2214yescomplemented
178#2454C2211yescharacteristic
179#2454C2212yescomplemented
180#2454C2212yescomplemented
181#2453C2212yescomplemented
182#2451C2211yescharacteristic, complemented
183#2448C2212yescomplemented
184#2448C2211yescharacteristic, complemented
185#2445C2211yescharacteristic
186#2445C2214yescomplemented
187#2442C2212yescomplemented
188#2441C2212yescomplemented
189#2441C2211yescharacteristic, complemented
190#2439C2214yescomplemented
191#2439C2211yescharacteristic, complemented
192#2436C2212yescomplemented
193#2436C2212yescomplemented
194#2435C2212yes—
195#2433C2212yes—
196#2431C2211yescharacteristic
197#2431C2211yescharacteristic
198#2431C2212yes—
199#2431C2214yescomplemented
200#2428C2212yes—
201#2428C2211yescharacteristic
202#2428C2214yescomplemented
203#2428C2214yescomplemented
204#2428C2214yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2427C2212yes—
209#2427C2212yes—
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2427C2214yescomplemented
213#2427C2214yescomplemented
214#2427C2212yescomplemented
215#2427C2214yescomplemented
216#2426C2214yescomplemented
217#2426C2212yescomplemented
218#2426C2212yescomplemented
219#2426C2212yescomplemented
220#2426C2211yescharacteristic, complemented
221#2424C2214yescomplemented
222#2423C2211yescharacteristic, complemented
223#2421C2214yescomplemented
224#2420C2212yes—
225#2420C2211yescharacteristic
226#2418C2214yescomplemented
227#2416C2212yes—
228#2416C2212yes—
229#2416C2212yescomplemented
230#2415C2212yescomplemented
231#2415C2212yescomplemented
232#2415C2214yescomplemented
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2414C2212yes—
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2214yescomplemented
239#2414C2212yescomplemented
240#2414C2211yescharacteristic, complemented
241#2414C2211yescharacteristic, complemented
242#2411C2214yescomplemented
243#2408C2212yes—
244#2408C2212yes—
245#2408C2212yes—
246#2408C2212yes—
247#2407C2211yescharacteristic
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2397C2212yescomplemented
253#2392C2212yescomplemented
254#2392C2212yescomplemented
255#2388C2212yescomplemented
256#2378C2214yescomplemented
257#2370C2212yescomplemented
258#2369C2211yescharacteristic, complemented
259#2367C2212yes—
260#2367C2212yescomplemented
261#2363C2212yes—
262#2363C2214yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2363C2212yescomplemented
266#2362C2212yescomplemented
267#2360C2212yescomplemented
268#2354C2211yescharacteristic
269#2354C2212yes—
270#2352C2212yescomplemented
271#2352C2212yescomplemented
272#2352C2212yescomplemented
273Q8×C4⋊C4C2211yescharacteristic, complemented
274#2344C2212yescomplemented
275#2341C2212yescomplemented
276Q8×C22⋊C4C2212yescomplemented
277#2330C2212yescomplemented
278#2328C2212yescomplemented
279#2324C2212yescomplemented
280#2323C2214yescomplemented
281#2323C2212yescomplemented
282#2319C2212yes—
283#2316C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#127C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#123C2212yescomplemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293C4×#121C2211yescharacteristic, complemented
294#2297C2212yescomplemented
295#2297C2212yescomplemented
296#2295C2211yescharacteristic, complemented
297#2293C2211yescharacteristic
298#2290C2212yescomplemented
299#2280C2214yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C24×C4C2314yes—
310#562—232no—
311#559—28no—
312#555—28no—
313#555—216no—
314#554—28no—
315#554D4116yescomplemented
316#553—216no—
317#553—216no—
318#553—216no—
319#552—216no—
320#551—232no—
321D4×Q8—28no—
322#548—216no—
323#548—48no—
324#547—28no—
325#546—216no—
326#546—216no—
327D42—28no—
328#544—216no—
329#542—232no—
330#540—216no—
331#537—216no—
332#536—216no—
333#535—48no—
334#535—48no—
335#533—28no—
336#532—28no—
337#532—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×#127C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2314yes—
348C2×#127C2312yes—
349C2×#127C2314yes—
350#529—216no—
351#529—216no—
352#529—28no—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2311yescharacteristic
376#525—232no—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2311yescharacteristic
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2314yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444C2×#120C2314yes—
445C2×#120C2314yes—
446C4×#41—28no—
447C4×#41—28no—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×D4—216no—
457C2×C4×D4—216no—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2314yes—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2314yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#399C2312yes—
517#399C2314yes—
518#399C2314yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2314yes—
523#398C2314yes—
524#398C2312yes—
525#398C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2312yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2312yes—
547#396C2312yes—
548#396C2314yes—
549#395C2312yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2312yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2312yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2312yes—
603#392C2312yes—
604#392C2312yes—
605#392C2312yes—
606#392C2312yes—
607#392C2312yes—
608#392C2312yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#391C2314yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2311yescharacteristic
621#391C2314yes—
622#391C2312yes—
623#391C2314yes—
624#391C2312yes—
625#391C2311yescharacteristic
626#391C2311yescharacteristic
627#391C2311yescharacteristic
628#391C2312yes—
629#391C2312yes—
630#390C2314yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2312yes—
647#390C2312yes—
648#390C2311yescharacteristic
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2311yescharacteristic
658#390C2314yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2314yes—
663#390C2311yescharacteristic
664#390C2312yes—
665#390C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2311yescharacteristic
669#389C2314yes—
670#389C2312yes—
671#389C2312yes—
672#389C2314yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2311yescharacteristic
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2311yescharacteristic
689#389C2311yescharacteristic
690#389C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#387C2312yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#387C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2312yes—
745#386C2314yes—
746#386C2312yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#386C2312yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2312yes—
769#385C2314yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#384C2311yescharacteristic
779#384C2311yescharacteristic
780#384C2312yes—
781#382C2311yescharacteristic
782#382C2312yes—
783#382C2314yes—
784#381C2314yes—
785#381C2314yes—
786#381C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2312yes—
793#380C2314yes—
794#380C2314yes—
795#380C2314yes—
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2314yes—
808#380C2312yes—
809#379C2314yes—
810#379C2314yes—
811#379C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846#376C2312yes—
847C43C2311yescharacteristic
848C25C2414yes—
849C2×#41—24no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—82no—
864C22×Q8—28no—
865C22×Q8—44no—
866C22×Q8—44no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C23×C4—216no—
911C23×C4—48no—
912C23×C4—84no—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C4⋊Q8—24no—
934C4⋊Q8—216no—
935C4⋊Q8—24no—
936C4⋊Q8—28no—
937C4⋊Q8C2×D418yes—
938#127—24no—
939#127—24no—
940#127—24no—
941#127—44no—
942#127—44no—
943#127—48no—
944#127—84no—
945#126—28no—
946#126—216no—
947#126—216no—
948#126—216no—
949#125—24no—
950#125—28no—
951#125—28no—
952#125—216no—
953#125C2×D4116yes—
954#124—28no—
955#124—24no—
956#124—28no—
957#124—216no—
958#124—28no—
959#124—28no—
960#124—216no—
961#124—216no—
962#124—28no—
963#124—42no—
964#124—44no—
965#124—44no—
966#124—48no—
967#124—48no—
968#123—216no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—28no—
973#123—216no—
974#123—216no—
975#123—216no—
976#123—216no—
977#123—44no—
978C22⋊Q8—216no—
979C22⋊Q8—24no—
980C22⋊Q8—28no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—28no—
986C22⋊Q8—216no—
987C22⋊Q8—216no—
988C22⋊Q8—48no—
989C22⋊Q8—42no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8C2×D4132yes—
993C22⋊Q8C2×D4116yes—
994#121—24no—
995#121—28no—
996#121—24no—
997#121—28no—
998#121—216no—
999#121—28no—
1000#121—216no—
1001#121—216no—
1002#121—216no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121—28no—
1007#121—24no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—44no—
1014#121—48no—
1015#121—48no—
1016#121—48no—
1017#121—48no—
1018#121—44no—
1019#121—42no—
1020#121—42no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—44no—
1025#121—44no—
1026#121—44no—
1027#121—82no—
1028#121—84no—
1029#121—84no—
1030#120—216no—
1031#120—216no—
1032#120—48no—
1033#120—48no—
1034#120—48no—
1035#120—48no—
1036#120—84no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—28no—
1041C4×Q8—24no—
1042C4×Q8—44no—
1043C4×Q8—82no—
1044C4×Q8C2×D418yes—
1045C4×D4—24no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—216no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—216no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—42no—
1068C4×D4—44no—
1069C4×D4—44no—
1070C4×D4—44no—
1071C4×D4—44no—
1072C4×D4—42no—
1073C4×D4—44no—
1074C4×D4—42no—
1075C4×D4—48no—
1076C4×D4C2×D4116yes—
1077C4×D4C2×D418yes—
1078#117—216no—
1079#117—28no—
1080#117—24no—
1081#117—24no—
1082#117—216no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—44no—
1089#117—44no—
1090#117—84no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4C2×D4116yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—216no—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C42—28no—
1229C2×C42—28no—
1230C2×C42—24no—
1231C2×C42—24no—
1232C2×C42C2411yescharacteristic
1233C2×C42C2414yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2414yes—
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2414yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2414yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305C24—28no—
1306C24—28no—
1307C24—44no—
1308C24—44no—
1309C24—44no—
1310C24—44no—
1311C24—44no—
1312C24C2514yes—
1313C24C2512yes—
1314C24C2511yescharacteristic
1315C24C2512yes—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2512yes—
1319#41—416no—
1320#41—416no—
1321#41—816no—
1322#41—816no—
1323#41—816no—
1324C2×Q8—22no—
1325C2×Q8—24no—
1326C2×Q8—28no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—24no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—24no—
1334C2×Q8—42no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—42no—
1338C2×Q8—44no—
1339C2×Q8—42no—
1340C2×Q8—816no—
1341C2×Q8C22×D414yes—
1342C2×Q8C22×D418yes—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—432no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
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—44no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—44no—
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—42no—
1413C2×D4—44no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—44no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—432no—
1436C2×D4C22×D414yes—
1437C2×D4H(5,𝔽2)14yes—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—28no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—28no—
1474C22×C4—28no—
1475C22×C4—28no—
1476C22×C4—28no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—41no—
1486C22×C4—44no—
1487C22×C4—41no—
1488C22×C4—44no—
1489C22×C4—41no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—832no—
1497C22×C4C22×D418yes—
1498C22×C4C22×D4116yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2514yes—
1510C22×C4C2512yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2514yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2511yescharacteristic
1520C22×C4C2512yes—
1521C22×C4C2514yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—28no—
1530C4⋊C4—28no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—28no—
1544C4⋊C4—28no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—22no—
1552C4⋊C4—24no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—44no—
1557C4⋊C4—41no—
1558C4⋊C4—41no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4C22×D414yes—
1574C4⋊C4C22×D418yes—
1575C4⋊C4C22×D414yes—
1576C4⋊C4C22×D418yes—
1577C4⋊C4C22×D4116yes—
1578C4⋊C4C22×D418yes—
1579C4⋊C4C22×D4116yes—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—24no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—22no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—41no—
1619C22⋊C4—42no—
1620C22⋊C4—41no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—41no—
1624C22⋊C4—41no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—41no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4C22×D4116yes—
1658C22⋊C4C22×D418yes—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—22no—
1667C42—24no—
1668C42—22no—
1669C42—22no—
1670C42—28no—
1671C42—28no—
1672C42—22no—
1673C42—24no—
1674C42—22no—
1675C42—22no—
1676C42—24no—
1677C42—22no—
1678C42—44no—
1679C42—44no—
1680C42—44no—
1681C42—41no—
1682C42—44no—
1683C42—41no—
1684C42C22×D414yes—
1685C42C22×D418yes—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—22no—
1700C23—22no—
1701C23—24no—
1702C23—21no—
1703C23—21no—
1704C23—24no—
1705C23—22no—
1706C23—21no—
1707C23—22no—
1708C23—22no—
1709C23—21no—
1710C23—22no—
1711C23—21no—
1712C23—22no—
1713C23—22no—
1714C23—24no—
1715C23—22no—
1716C23—21no—
1717C23—22no—
1718C23—24no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—22no—
1725C23—24no—
1726C23—22no—
1727C23—24no—
1728C23—21no—
1729C23—22no—
1730C23—24no—
1731C23—22no—
1732C23—21no—
1733C23—416no—
1734C23—416no—
1735C23—88no—
1736C23—88no—
1737C23—88no—
1738C23—88no—
1739C23—88no—
1740C23C23×D414yes—
1741C23C2×H(5,𝔽2)14yes—
1742C23C2611yescharacteristic
1743Q8—28no—
1744Q8—48no—
1745Q8—44no—
1746Q8—48no—
1747Q8—88no—
1748Q8—84no—
1749D4—28no—
1750D4—28no—
1751D4—416no—
1752D4—48no—
1753D4—416no—
1754D4—48no—
1755D4—44no—
1756D4—44no—
1757D4—48no—
1758D4—48no—
1759D4—44no—
1760D4—84no—
1761D4—88no—
1762D4—88no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—84no—
1769D4—88no—
1770D4—84no—
1771D4—84no—
1772D4—88no—
1773D4—84no—
1774D4—84no—
1775D4—164no—
1776D4—164no—
1777D4—164no—
1778D4—164no—
1779D4—164no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—216no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—416no—
1854C2×C4—48no—
1855C2×C4—416no—
1856C2×C4—44no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—48no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—44no—
1864C2×C4—48no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—82no—
1868C2×C4—88no—
1869C2×C4—88no—
1870C2×C4—88no—
1871C2×C4—88no—
1872C2×C4C23×D412yes—
1873C2×C4C23×D418yes—
1874C2×C4C23×D414yes—
1875C2×C4C23×D414yes—
1876C2×C4C23×D414yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C2×H(5,𝔽2)12yes—
1880C2×C4#58512yes—
1881C2×C4#58512yes—
1882C2×C4#58512yes—
1883C2×C4#58512yes—
1884C22—24no—
1885C22—24no—
1886C22—24no—
1887C22—24no—
1888C22—24no—
1889C22—24no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—41no—
1900C22—41no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—41no—
1909C22—42no—
1910C22—42no—
1911C22—44no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—42no—
1916C22—44no—
1917C22—42no—
1918C22—42no—
1919C22—41no—
1920C22—41no—
1921C22—42no—
1922C22—44no—
1923C22—42no—
1924C22—41no—
1925C22—42no—
1926C22—41no—
1927C22—44no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—44no—
1932C22—41no—
1933C22—832no—
1934C22C24×D411yescharacteristic
1935C22C22×H(5,𝔽2)11yescharacteristic
1936C22C2×#58511yescharacteristic
1937C22C2×#58511yescharacteristic
1938C22C2×#58511yescharacteristic
1939C22C2×#58511yescharacteristic
1940C22H(7,𝔽2)11yescharacteristic
1941C4—22no—
1942C4—24no—
1943C4—28no—
1944C4—22no—
1945C4—24no—
1946C4—24no—
1947C4—42no—
1948C4—41no—
1949C4—41no—
1950C4—41no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—41no—
1956C4—42no—
1957C4—42no—
1958C4—41no—
1959C4—41no—
1960C4—42no—
1961C4—44no—
1962C4—41no—
1963C4—44no—
1964C4—42no—
1965C4—41no—
1966C4—42no—
1967C4#348714yes—
1968C4#348814yes—
1969C2—44no—
1970C2—44no—
1971C2—81no—
1972C2—81no—
1973C2—82no—
1974C2—82no—
1975C2—84no—
1976C2#6276211yescharacteristic
1977C2C2×#348711yescharacteristic
1978C2C2×#348811yescharacteristic
1979C2#6292011yescharacteristic
1980C2#6293811yescharacteristic
1981C2#6298711yescharacteristic
1982C2#6302411yescharacteristic
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×#3547C2semidirect
2. C2×#3481C2semidirect
3. #59652C2semidirect
4. #59104C2semidirect
5. #59079C2semidirect
6. #59058C2semidirect
7. #59056C2semidirect
8. #51891C2semidirect
9. #51782C2semidirect
10. #45449C2semidirect
11. #45423C2semidirect
12. #45263C2semidirect
13. #45159C2semidirect
14. #45093C2semidirect
15. #42677C2semidirect
16. #42674C2semidirect
17. #42438C2semidirect
18. #42433C2semidirect
19. #39362C2semidirect
20. #39342C2semidirect
21. #39171C2semidirect
22. #39137C2semidirect
23. #37787C2semidirect
24. #37758C2semidirect
25. #37669C2semidirect
26. #36444C2semidirect
27. #36404C2semidirect
28. #36162C2semidirect
29. #36160C2semidirect
30. #36150C2semidirect
31. #35226C2semidirect
32. #35168C2semidirect
33. #34727C2semidirect
34. #34715C2semidirect
35. #34484C2semidirect
37. C2×#562C22semidirect
41. C2×#555C22semidirect
46. C2×#553C22semidirect
47. C2×#552C22semidirect
49. C2×D4×Q8C22semidirect
51. C2×#548C22semidirect
56. C2×#544C22semidirect
57. C2×#542C22semidirect
59. C2×#537C22semidirect
60. C2×#536C22semidirect
63. C2×#533C22semidirect
68. C2×#529C22semidirect
75. #2857C22semidirect
76. #2857C22semidirect
78. #2855C22semidirect
79. #2849C22semidirect
80. #2847C22semidirect
81. #2847C22semidirect
82. #2815C22semidirect
83. #2813C22semidirect
84. #2733C22semidirect
85. #2730C22semidirect
86. #2728C22semidirect
87. #2727C22semidirect
88. #2725C22semidirect
89. #2723C22semidirect
90. #2716C22semidirect
91. #2714C22semidirect
92. #2710C22semidirect
93. #2710C22semidirect
94. #2707C22semidirect
95. #2706C22semidirect
96. #2705C22semidirect
97. #2705C22semidirect
98. #2705C22semidirect
99. #2703C22semidirect
100. #2696C22semidirect
101. #2696C22semidirect
102. #2696C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
107. #2678C22semidirect
108. #2676C22semidirect
109. #2674C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
113. #2670C22semidirect
114. #2670C22semidirect
116. #2669C22semidirect
117. #2640C22semidirect
118. #2635C22semidirect
119. #2630C22semidirect
120. #2624C22semidirect
122. #2620C22semidirect
123. #2619C22semidirect
124. #2617C22semidirect
125. #2617C22semidirect
127. #2568C22semidirect
128. #2563C22semidirect
129. #2560C22semidirect
130. #2548C22semidirect
132. #2547C22semidirect
133. #2544C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2538C22semidirect
144. #2537C22semidirect
145. #2537C22semidirect
147. #2491C22semidirect
148. #2490C22semidirect
149. #2490C22semidirect
150. #2489C22semidirect
151. #2489C22semidirect
152. #2485C22semidirect
153. #2482C22semidirect
154. #2479C22semidirect
155. #2477C22semidirect
156. #2476C22semidirect
157. #2474C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2471C22semidirect
161. #2471C22semidirect
162. #2470C22semidirect
163. #2467C22semidirect
164. #2467C22semidirect
165. #2467C22semidirect
166. #2467C22semidirect
167. #2464C22semidirect
168. #2460C22semidirect
169. #2460C22semidirect
170. #2459C22semidirect
171. #2459C22semidirect
172. #2459C22semidirect
173. #2457C22semidirect
174. #2457C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2456C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2453C22semidirect
182. #2451C22semidirect
183. #2448C22semidirect
184. #2448C22semidirect
186. #2445C22semidirect
187. #2442C22semidirect
188. #2441C22semidirect
189. #2441C22semidirect
190. #2439C22semidirect
191. #2439C22semidirect
192. #2436C22semidirect
193. #2436C22semidirect
199. #2431C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
214. #2427C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
218. #2426C22semidirect
219. #2426C22semidirect
220. #2426C22semidirect
221. #2424C22semidirect
222. #2423C22semidirect
223. #2421C22semidirect
226. #2418C22semidirect
229. #2416C22semidirect
230. #2415C22semidirect
231. #2415C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2411C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2397C22semidirect
253. #2392C22semidirect
254. #2392C22semidirect
255. #2388C22semidirect
256. #2378C22semidirect
257. #2370C22semidirect
258. #2369C22semidirect
260. #2367C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2363C22semidirect
266. #2362C22semidirect
267. #2360C22semidirect
270. #2352C22semidirect
271. #2352C22semidirect
272. #2352C22semidirect
273. Q8×C4⋊C4C22semidirect
274. #2344C22semidirect
275. #2341C22semidirect
276. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
278. #2328C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
283. #2316C22semidirect
284. C4×C4⋊Q8C22semidirect
286. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×#123C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. #2297C22semidirect
295. #2297C22semidirect
296. #2295C22semidirect
298. #2290C22semidirect
299. #2280C22semidirect
300. C42×D4C22semidirect
315. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34812
#596522
#591042
#590792
#590582
#590562
#518912
#517822
#454492
#454232
#452632
#451592
#450932
#426772
#426742
#424382
#424332
#393622
#393422
#391712
#391372
#377872
#377582
#376692
#364442
#364042
#361622
#361602
#361502
#352262
#351682
#347272
#347152
#344842