Finite Group Databasebeta

← #7717517

Subgroups — #7717517

Order 512.

7474 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3560C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#50687C214yesmaximal, complemented
4#50685C214yesmaximal, complemented
5#50640C214yesmaximal, complemented
6#50638C214yesmaximal, complemented
7#44783C214yesmaximal, complemented
8#44333C214yesmaximal, complemented
9#44315C214yesmaximal, complemented
10#44184C214yesmaximal, complemented
11#39339C212yesmaximal, complemented
12#39332C212yesmaximal, complemented
13#39332C212yesmaximal, complemented
14#39128C212yesmaximal, complemented
15#38029C212yesmaximal, complemented
16#38023C212yesmaximal, complemented
17#36971C211yesmaximal, characteristic, complemented
18#36961C211yesmaximal, characteristic, complemented
19#36717C211yesmaximal, characteristic, complemented
20#36706C211yesmaximal, characteristic, complemented
21#36581C212yesmaximal, complemented
22#36316C212yesmaximal, complemented
23#35302C211yesmaximal, characteristic, complemented
24#35301C211yesmaximal, characteristic, complemented
25#35168C211yesmaximal, characteristic, complemented
26#35165C211yesmaximal, characteristic, complemented
27#34987C211yesmaximal, characteristic, complemented
28#34986C211yesmaximal, characteristic, complemented
29#34984C211yesmaximal, characteristic, complemented
30#34593C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3560—216no—
33C2×#563C2212yescomplemented
34C2×#560C2212yescomplemented
35C2×#553—216no—
36C2×#553C2212yes—
37C2×#553C2212yescomplemented
38C2×#553C2214yescomplemented
39C2×#553C2214yescomplemented
40C2×#553C2214yescomplemented
41C2×#553C2214yescomplemented
42C2×#551C2212yescomplemented
43C2×#547C2212yes—
44C2×#546C2212yes—
45C2×#546C2212yes—
46C2×#542C2212yescomplemented
47C2×#539C2211yescharacteristic
48C2×#539C2212yescomplemented
49C2×#538C2211yescharacteristic
50C2×#538C2212yescomplemented
51C2×#538C2212yescomplemented
52C2×#537C2211yescharacteristic
53C2×#535C2212yescomplemented
54C2×#535C2212yescomplemented
55C2×#534C2211yescharacteristic
56C2×#534C2212yes—
57C2×#532C2211yescharacteristic
58C2×#529C2211yescharacteristic
59C22×#126C2211yescharacteristic
60C22×#126C2211yescharacteristic, complemented
61C22×#125C2211yescharacteristic, complemented
62C22×#123C2211yescharacteristic
63C22×#123C2211yescharacteristic, complemented
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C22×#121C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic, complemented
71C22×C4×D4C2211yescharacteristic, complemented
72C22×#117C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74#2855C2211yescharacteristic, complemented
75#2854C2211yescharacteristic
76#2854C2211yescharacteristic
77#2854C2211yescharacteristic, complemented
78#2853C2212yescomplemented
79#2849C2212yes—
80#2848C2211yescharacteristic, complemented
81#2847C2211yescharacteristic
82#2847C2211yescharacteristic
83#2847C2212yes—
84#2847C2212yescomplemented
85#2847C2212yescomplemented
86#2847C2211yescharacteristic, complemented
87#2847C2212yescomplemented
88#2727C2214yescomplemented
89#2725C2214yescomplemented
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2714C2214yescomplemented
93#2714C2214yescomplemented
94#2713C2214yescomplemented
95#2711C2214yescomplemented
96#2710C2214yescomplemented
97#2707C2214yescomplemented
98#2706C2214yescomplemented
99#2705C2214yescomplemented
100#2705C2214yescomplemented
101#2704C2214yescomplemented
102#2703C2214yescomplemented
103#2703C2214yescomplemented
104#2703C2214yescomplemented
105#2703C2214yescomplemented
106#2702C2214yescomplemented
107#2694C2214yescomplemented
108#2691C2214yescomplemented
109#2682C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2675C2214yescomplemented
114#2675C2214yescomplemented
115#2675C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2672C2214yescomplemented
120#2672C2214yescomplemented
121#2671C2214yescomplemented
122#2671C2214yescomplemented
123#2671C2214yescomplemented
124#2669C2214yescomplemented
125#2669C2214yescomplemented
126#2669C2214yescomplemented
127#2669C2214yescomplemented
128#2636C2214yescomplemented
129#2633C2212yescomplemented
130#2631C2212yescomplemented
131#2629C2212yescomplemented
132#2628C2212yescomplemented
133#2626C2211yescharacteristic, complemented
134#2626C2211yescharacteristic, complemented
135#2623C2212yescomplemented
136#2620C2212yescomplemented
137#2619C2212yescomplemented
138#2618C2212yes—
139#2617C2211yescharacteristic
140#2617C2211yescharacteristic
141#2617C2211yescharacteristic
142#2617C2211yescharacteristic
143#2617C2211yescharacteristic, complemented
144#2617C2211yescharacteristic, complemented
145#2617C2212yescomplemented
146#2613C2212yes—
147#2613C2212yescomplemented
148#2613C2212yescomplemented
149#2610C2214yescomplemented
150#2609C2214yescomplemented
151#2601C2214yescomplemented
152#2598C2214yescomplemented
153#2591C2212yes—
154#2591C2212yescomplemented
155#2579C2212yescomplemented
156#2579C2212yescomplemented
157#2558C2214yescomplemented
158#2556C2214yescomplemented
159#2555C2214yescomplemented
160#2555C2214yescomplemented
161#2554C2214yescomplemented
162#2547C2212yescomplemented
163#2544C2214yescomplemented
164#2541C2212yescomplemented
165#2541C2214yescomplemented
166#2539C2212yescomplemented
167#2539C2214yescomplemented
168#2539C2212yescomplemented
169#2537C2214yescomplemented
170#2535C2212yescomplemented
171#2535C2212yescomplemented
172#2534C2212yescomplemented
173#2534C2212yescomplemented
174#2504C2212yescomplemented
175#2491C2214yescomplemented
176#2488C2214yescomplemented
177#2487C2212yescomplemented
178#2481C2214yescomplemented
179#2481C2214yescomplemented
180#2473C2214yescomplemented
181#2471C2214yescomplemented
182#2467C2214yescomplemented
183#2466C2214yescomplemented
184#2464C2214yescomplemented
185#2464C2214yescomplemented
186#2464C2214yescomplemented
187#2463C2214yescomplemented
188#2460C2214yescomplemented
189#2460C2214yescomplemented
190#2459C2214yescomplemented
191#2459C2214yescomplemented
192#2457C2214yescomplemented
193#2456C2214yescomplemented
194#2456C2214yescomplemented
195#2456C2214yescomplemented
196#2456C2214yescomplemented
197#2455C2214yescomplemented
198#2450C2214yescomplemented
199#2445C2214yescomplemented
200#2443C2214yescomplemented
201#2443C2214yescomplemented
202#2442C2214yescomplemented
203#2433C2212yes—
204#2428C2214yescomplemented
205#2428C2214yescomplemented
206#2428C2214yescomplemented
207#2428C2214yescomplemented
208#2428C2214yescomplemented
209#2427C2214yescomplemented
210#2427C2214yescomplemented
211#2425C2214yescomplemented
212#2425C2214yescomplemented
213#2425C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2416C2214yescomplemented
220#2416C2214yescomplemented
221#2413C2212yescomplemented
222#2413C2212yescomplemented
223#2412C2214yescomplemented
224#2411C2212yescomplemented
225#2411C2212yescomplemented
226#2410C2212yes—
227#2410C2212yes—
228#2408C2212yescomplemented
229#2406C2212yescomplemented
230#2406C2212yescomplemented
231#2404C2212yescomplemented
232#2404C2212yescomplemented
233#2403C2212yes—
234#2403C2212yes—
235#2398C2212yescomplemented
236#2397C2212yescomplemented
237#2392C2214yescomplemented
238#2383C2214yescomplemented
239#2373C2214yescomplemented
240#2364C2214yescomplemented
241#2361C2214yescomplemented
242#2358C2214yescomplemented
243#2352C2214yescomplemented
244#2345C2212yescomplemented
245#2344C2212yescomplemented
246#2342C2212yes—
247#2342C2212yes—
248#2334C2214yescomplemented
249#2334C2214yescomplemented
250#2324C2212yescomplemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2323C2212yescomplemented
254#2322C2212yescomplemented
255#2321C2212yescomplemented
256#2316C2211yescharacteristic, complemented
257#2315C2211yescharacteristic
258#2313C2211yescharacteristic, complemented
259#2312C2211yescharacteristic
260#2311C2212yescomplemented
261C4×#120C2212yescomplemented
262C4×#120C2212yescomplemented
263C4×#120C2212yescomplemented
264C4×#120C2212yescomplemented
265#2297C2212yescomplemented
266C2×#386C2212yes—
267#2285C2211yescharacteristic, complemented
268#2283C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C23×D4C2312yes—
276C23×D4C2311yescharacteristic
277C23×D4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284#563—216no—
285#560—216no—
286#553—232no—
287#553—232no—
288#553—232no—
289#553—232no—
290#553—216no—
291#553—216no—
292#551—216no—
293#547—216no—
294#546—216no—
295#546—216no—
296#542—216no—
297#539—216no—
298#539—28no—
299#538—216no—
300#538—216no—
301#538—28no—
302#537—28no—
303#535—48no—
304#535—48no—
305#534—28no—
306#534—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2314yes—
312C2×#127C2314yes—
313C2×#127C2314yes—
314#529—28no—
315C2×#126—28no—
316C2×#126D4116yescomplemented
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2312yes—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#125—28no—
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#123—28no—
342C2×#123—28no—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×#121—28no—
374C2×#121—28no—
375C2×#121—28no—
376C2×#121—28no—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2312yes—
420C2×#120C2312yes—
421C2×#120C2312yes—
422C2×#120C2312yes—
423C2×#120C2312yes—
424C2×#120C2312yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×#120C2312yes—
428C2×#120C2312yes—
429C2×#120C2312yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×D4—28no—
435C2×C4×D4—28no—
436C2×C4×D4—28no—
437C2×C4×D4—28no—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×#117—28no—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4—28no—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2314yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2314yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2311yescharacteristic
486C22×C22⋊C4C2311yescharacteristic
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2311yescharacteristic
491C22×C22⋊C4C2311yescharacteristic
492C22×C22⋊C4C2311yescharacteristic
493C22×C22⋊C4C2311yescharacteristic
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2312yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2311yescharacteristic
498C22×C22⋊C4C2311yescharacteristic
499C22×C22⋊C4C2311yescharacteristic
500C22×C42C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2311yescharacteristic
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#400C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2312yes—
510#399C2312yes—
511#399C2314yes—
512#399C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#397C2312yes—
520#397C2312yes—
521#397C2312yes—
522#397C2312yes—
523#397C2314yes—
524#397C2312yes—
525#397C2312yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#395C2314yes—
542#395C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#393C2314yes—
570#393C2312yes—
571#393C2312yes—
572#393C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2312yes—
582#392C2312yes—
583#392C2312yes—
584#392C2312yes—
585#392C2314yes—
586#392C2312yes—
587#392C2312yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#391C2314yes—
600#391C2312yes—
601#391C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#384C2312yes—
728#383C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#381C2312yes—
733#381C2312yes—
734#381C2314yes—
735#381C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#379C2312yes—
755#379C2312yes—
756#379C2312yes—
757#379C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774#376C2312yes—
775C2×#95C2314yes—
776C25C2411yescharacteristic
777C25C2411yescharacteristic
778C25C2411yescharacteristic
779C25C2411yescharacteristic
780C25C2412yes—
781C2×#41—28no—
782C2×#41—28no—
783C2×#41—44no—
784C2×#41—44no—
785C2×#41—44no—
786C2×#41—44no—
787C22×Q8C2411yescharacteristic
788C22×Q8C2412yes—
789C22×Q8C2412yes—
790C22×D4—24no—
791C22×D4—24no—
792C22×D4—24no—
793C22×D4—24no—
794C22×D4—24no—
795C22×D4—24no—
796C22×D4—28no—
797C22×D4—24no—
798C22×D4—24no—
799C22×D4—24no—
800C22×D4—44no—
801C22×D4—42no—
802C22×D4—42no—
803C22×D4—42no—
804C22×D4—44no—
805C22×D4—44no—
806C22×D4—82no—
807C22×D4—82no—
808C22×D4C2412yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—44no—
846C23×C4—44no—
847C23×C4—82no—
848C23×C4—82no—
849C23×C4—82no—
850C23×C4—82no—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C4⋊Q8—28no—
881C4⋊Q8—24no—
882#127—24no—
883#127—48no—
884#127—48no—
885#127—84no—
886#126—216no—
887#126—216no—
888#126—28no—
889#126—28no—
890#126—28no—
891#126—28no—
892#126—28no—
893#126C2×D4116yes—
894#126C2×D4116yes—
895#126C2×D4116yes—
896#126C2×D4116yes—
897#125—216no—
898#125—216no—
899#125—28no—
900#125—28no—
901#125—24no—
902#124—28no—
903#124—28no—
904#124—28no—
905#124—24no—
906#124—28no—
907#124—48no—
908#124—48no—
909#123—28no—
910#123—28no—
911#123—216no—
912#123—216no—
913#123—28no—
914#123—28no—
915#123—28no—
916#123—28no—
917#123—28no—
918#123—216no—
919#123—216no—
920#123—28no—
921#123—28no—
922#123—28no—
923#123—28no—
924#123—28no—
925#123—48no—
926#123—44no—
927#123—44no—
928#123—44no—
929#123—84no—
930C22⋊Q8—24no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—28no—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—44no—
939#121—24no—
940#121—24no—
941#121—24no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—216no—
946#121—216no—
947#121—28no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—216no—
952#121—216no—
953#121—216no—
954#121—216no—
955#121—216no—
956#121—216no—
957#121—28no—
958#121—28no—
959#121—28no—
960#121—28no—
961#121—28no—
962#121—44no—
963#121—44no—
964#121—48no—
965#121—44no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—84no—
974#121—84no—
975#121—84no—
976#121—84no—
977#121—84no—
978#120—28no—
979#120—28no—
980#120—28no—
981#120—28no—
982#120—28no—
983#120—28no—
984#120—28no—
985#120—28no—
986#120—48no—
987#120—44no—
988#120—44no—
989#120—44no—
990#120—44no—
991#120—44no—
992#120—44no—
993#120—48no—
994#120—84no—
995C4×Q8—24no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—216no—
1000C4×D4—216no—
1001C4×D4—28no—
1002C4×D4—28no—
1003C4×D4—216no—
1004C4×D4—216no—
1005C4×D4—216no—
1006C4×D4—216no—
1007C4×D4—28no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—24no—
1014C4×D4—28no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—48no—
1018C4×D4—84no—
1019C4×D4—84no—
1020C4×D4—84no—
1021#117—28no—
1022#117—28no—
1023#117—28no—
1024#117—28no—
1025#117—28no—
1026#117—28no—
1027#117—44no—
1028#117—44no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—24no—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—24no—
1036C2×C4⋊C4—216no—
1037C2×C4⋊C4—216no—
1038C2×C4⋊C4—28no—
1039C2×C4⋊C4C2×D418yes—
1040C2×C4⋊C4C2×D418yes—
1041C2×C4⋊C4C2×D418yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C22⋊C4—24no—
1090C2×C22⋊C4—24no—
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4—24no—
1094C2×C22⋊C4—24no—
1095C2×C22⋊C4—24no—
1096C2×C22⋊C4—28no—
1097C2×C22⋊C4—28no—
1098C2×C22⋊C4—44no—
1099C2×C22⋊C4—84no—
1100C2×C22⋊C4C2×D418yes—
1101C2×C22⋊C4C2×D418yes—
1102C2×C22⋊C4C2×D418yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C42—24no—
1177C2×C42—24no—
1178C2×C42C2×D418yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—22no—
1235C24—22no—
1236C24—24no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—44no—
1247C24—44no—
1248C24—42no—
1249C24C22×D414yes—
1250C24H(5,𝔽2)14yes—
1251C24C2512yes—
1252C24C2512yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2512yes—
1256C24C2512yes—
1257C24C2512yes—
1258C24C2511yescharacteristic
1259#41—816no—
1260#41—816no—
1261C2×Q8—22no—
1262C2×Q8—24no—
1263C2×Q8—24no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—28no—
1304C2×D4—28no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—416no—
1311C2×D4—416no—
1312C2×D4—416no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—416no—
1358C2×D4—88no—
1359C2×D4—88no—
1360C2×D4—816no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—28no—
1374C22×C4—24no—
1375C22×C4—28no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—416no—
1428C22×C4—416no—
1429C22×C4—88no—
1430C22×C4—88no—
1431C22×C4—88no—
1432C22×C4—88no—
1433C22×C4C22×D414yes—
1434C22×C4C22×D414yes—
1435C22×C4C22×D414yes—
1436C22×C4C22×D414yes—
1437C22×C4C22×D414yes—
1438C22×C4C22×D414yes—
1439C22×C4C2514yes—
1440C22×C4C2514yes—
1441C22×C4C2514yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—28no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4C22×D418yes—
1504C4⋊C4C22×D418yes—
1505C4⋊C4C22×D418yes—
1506C4⋊C4C22×D418yes—
1507C4⋊C4C22×D418yes—
1508C4⋊C4C22×D418yes—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4C22×D418yes—
1577C22⋊C4C22×D418yes—
1578C22⋊C4C22×D418yes—
1579C22⋊C4C22×D418yes—
1580C22⋊C4C22×D418yes—
1581C22⋊C4C22×D418yes—
1582C42—24no—
1583C42—24no—
1584C42—28no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—44no—
1589C42—44no—
1590C42—44no—
1591C42—44no—
1592C42—44no—
1593C42C22×D414yes—
1594C42C22×D414yes—
1595C42C22×D414yes—
1596C42C22×D414yes—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—24no—
1602C23—24no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—24no—
1607C23—28no—
1608C23—28no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—24no—
1621C23—24no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—24no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—48no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—48no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—84no—
1649C23—84no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—84no—
1655C23—84no—
1656C23—84no—
1657C23—88no—
1658C23—164no—
1659C23C23×D414yes—
1660C23C23×D412yes—
1661C23C2×H(5,𝔽2)14yes—
1662C23C2×H(5,𝔽2)12yes—
1663C23#58512yes—
1664C23C2611yescharacteristic
1665Q8—82no—
1666Q8—84no—
1667Q8—84no—
1668D4—48no—
1669D4—416no—
1670D4—48no—
1671D4—416no—
1672D4—416no—
1673D4—48no—
1674D4—48no—
1675D4—48no—
1676D4—84no—
1677D4—82no—
1678D4—82no—
1679D4—82no—
1680D4—84no—
1681D4—84no—
1682D4—88no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—84no—
1691D4—84no—
1692D4—88no—
1693D4—88no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698D4—164no—
1699C2×C4—28no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—28no—
1715C2×C4—28no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—416no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—88no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—84no—
1776C2×C4—164no—
1777C2×C4C23×D412yes—
1778C2×C4C23×D412yes—
1779C2×C4C23×D412yes—
1780C2×C4C23×D414yes—
1781C2×C4C23×D414yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D412yes—
1784C2×C4C23×D412yes—
1785C2×C4C23×D412yes—
1786C2×C4#58514yes—
1787C22—22no—
1788C22—22no—
1789C22—24no—
1790C22—24no—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—24no—
1795C22—28no—
1796C22—416no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—44no—
1801C22—44no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—44no—
1819C22—44no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—42no—
1826C22—44no—
1827C22—44no—
1828C22—42no—
1829C22—88no—
1830C22—88no—
1831C22—88no—
1832C22—168no—
1833C22#348814yes—
1834C22C24×D411yescharacteristic
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C2×#58511yescharacteristic
1837C22C2×#58512yes—
1838C22H(7,𝔽2)12yes—
1839C4—22no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—24no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—24no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—44no—
1859C4—44no—
1860C4—44no—
1861C4—44no—
1862C2—24no—
1863C2—44no—
1864C2—44no—
1865C2—82no—
1866C2—82no—
1867C2—82no—
1868C2—82no—
1869C2—82no—
1870C2C2×#348811yescharacteristic
1871C2#6281111yescharacteristic
1872C2#6285211yescharacteristic
1873C2#6290512yes—
1874C2#6293512yes—
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×#3560C2semidirect
2. C22×#553C2semidirect
3. #50687C2semidirect
4. #50685C2semidirect
5. #50640C2semidirect
6. #50638C2semidirect
7. #44783C2semidirect
8. #44333C2semidirect
9. #44315C2semidirect
10. #44184C2semidirect
11. #39339C2semidirect
12. #39332C2semidirect
13. #39332C2semidirect
14. #39128C2semidirect
15. #38029C2semidirect
16. #38023C2semidirect
17. #36971C2semidirect
18. #36961C2semidirect
19. #36717C2semidirect
20. #36706C2semidirect
21. #36581C2semidirect
22. #36316C2semidirect
23. #35302C2semidirect
24. #35301C2semidirect
25. #35168C2semidirect
26. #35165C2semidirect
27. #34987C2semidirect
28. #34986C2semidirect
29. #34984C2semidirect
30. #34593C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#560C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
39. C2×#553C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#551C22semidirect
46. C2×#542C22semidirect
48. C2×#539C22semidirect
50. C2×#538C22semidirect
51. C2×#538C22semidirect
53. C2×#535C22semidirect
54. C2×#535C22semidirect
60. C22×#126C22semidirect
61. C22×#125C22semidirect
63. C22×#123C22semidirect
67. C22×#121C22semidirect
70. C22×C4×D4C22semidirect
71. C22×C4×D4C22semidirect
72. C22×#117C22semidirect
73. C23×C4⋊C4C22semidirect
74. #2855C22semidirect
77. #2854C22semidirect
78. #2853C22semidirect
80. #2848C22semidirect
84. #2847C22semidirect
85. #2847C22semidirect
86. #2847C22semidirect
87. #2847C22semidirect
88. #2727C22semidirect
89. #2725C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2714C22semidirect
93. #2714C22semidirect
94. #2713C22semidirect
95. #2711C22semidirect
96. #2710C22semidirect
97. #2707C22semidirect
98. #2706C22semidirect
99. #2705C22semidirect
100. #2705C22semidirect
101. #2704C22semidirect
102. #2703C22semidirect
103. #2703C22semidirect
104. #2703C22semidirect
105. #2703C22semidirect
106. #2702C22semidirect
107. #2694C22semidirect
108. #2691C22semidirect
109. #2682C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2675C22semidirect
114. #2675C22semidirect
115. #2675C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2672C22semidirect
120. #2672C22semidirect
121. #2671C22semidirect
122. #2671C22semidirect
123. #2671C22semidirect
124. #2669C22semidirect
125. #2669C22semidirect
126. #2669C22semidirect
127. #2669C22semidirect
128. #2636C22semidirect
129. #2633C22semidirect
130. #2631C22semidirect
131. #2629C22semidirect
132. #2628C22semidirect
133. #2626C22semidirect
134. #2626C22semidirect
135. #2623C22semidirect
136. #2620C22semidirect
137. #2619C22semidirect
143. #2617C22semidirect
144. #2617C22semidirect
145. #2617C22semidirect
147. #2613C22semidirect
148. #2613C22semidirect
149. #2610C22semidirect
150. #2609C22semidirect
151. #2601C22semidirect
152. #2598C22semidirect
154. #2591C22semidirect
155. #2579C22semidirect
156. #2579C22semidirect
157. #2558C22semidirect
158. #2556C22semidirect
159. #2555C22semidirect
160. #2555C22semidirect
161. #2554C22semidirect
162. #2547C22semidirect
163. #2544C22semidirect
164. #2541C22semidirect
165. #2541C22semidirect
166. #2539C22semidirect
167. #2539C22semidirect
168. #2539C22semidirect
169. #2537C22semidirect
170. #2535C22semidirect
171. #2535C22semidirect
172. #2534C22semidirect
173. #2534C22semidirect
174. #2504C22semidirect
175. #2491C22semidirect
176. #2488C22semidirect
177. #2487C22semidirect
178. #2481C22semidirect
179. #2481C22semidirect
180. #2473C22semidirect
181. #2471C22semidirect
182. #2467C22semidirect
183. #2466C22semidirect
184. #2464C22semidirect
185. #2464C22semidirect
186. #2464C22semidirect
187. #2463C22semidirect
188. #2460C22semidirect
189. #2460C22semidirect
190. #2459C22semidirect
191. #2459C22semidirect
192. #2457C22semidirect
193. #2456C22semidirect
194. #2456C22semidirect
195. #2456C22semidirect
196. #2456C22semidirect
197. #2455C22semidirect
198. #2450C22semidirect
199. #2445C22semidirect
200. #2443C22semidirect
201. #2443C22semidirect
202. #2442C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2425C22semidirect
212. #2425C22semidirect
213. #2425C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2413C22semidirect
222. #2413C22semidirect
223. #2412C22semidirect
224. #2411C22semidirect
225. #2411C22semidirect
228. #2408C22semidirect
229. #2406C22semidirect
230. #2406C22semidirect
231. #2404C22semidirect
232. #2404C22semidirect
235. #2398C22semidirect
236. #2397C22semidirect
237. #2392C22semidirect
238. #2383C22semidirect
239. #2373C22semidirect
240. #2364C22semidirect
241. #2361C22semidirect
242. #2358C22semidirect
243. #2352C22semidirect
244. #2345C22semidirect
245. #2344C22semidirect
248. #2334C22semidirect
249. #2334C22semidirect
250. #2324C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2323C22semidirect
254. #2322C22semidirect
255. #2321C22semidirect
256. #2316C22semidirect
258. #2313C22semidirect
260. #2311C22semidirect
261. C4×#120C22semidirect
262. C4×#120C22semidirect
263. C4×#120C22semidirect
264. C4×#120C22semidirect
265. #2297C22semidirect
267. #2285C22semidirect
268. #2283C22semidirect
316. C2×#126D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35602
C22×#5532
#506872
#506852
#506402
#506382
#447832
#443332
#443152
#441842
#393392
#393322
#391282
#380292
#380232
#369712
#369612
#367172
#367062
#365812
#363162
#353022
#353012
#351682
#351652
#349872
#349862
#349842
#345932
#343812