Finite Group Databasebeta

← #8094806

Subgroups — #8094806

Order 512.

6016 conjugacy classes of subgroups.

The subgroup lattice has 1968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53102C212yesmaximal, complemented
2#53095C212yesmaximal, complemented
3#53066C212yesmaximal, complemented
4#53060C212yesmaximal, complemented
5#53059C212yesmaximal, complemented
6#53018C212yesmaximal, complemented
7#52981C212yesmaximal, complemented
8#52977C212yesmaximal, complemented
9#52472C214yesmaximal, complemented
10#52471C214yesmaximal, complemented
11#46038C214yesmaximal, complemented
12#45970C214yesmaximal, complemented
13#45721C212yesmaximal, complemented
14#45647C212yesmaximal, complemented
15#45642C212yesmaximal, complemented
16#45628C212yesmaximal, complemented
17#45608C212yesmaximal, complemented
18#45522C212yesmaximal, complemented
19#45487C212yesmaximal, complemented
20#45483C212yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35533C211yesmaximal, characteristic, complemented
23#35530C211yesmaximal, characteristic, complemented
24#35513C211yesmaximal, characteristic, complemented
25#35513C211yesmaximal, characteristic, complemented
26#35513C211yesmaximal, characteristic, complemented
27#35273C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35166C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34C2×#2512C211yesmaximal, characteristic, complemented
35#34744C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C2×#560C2214yescomplemented
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#537C2211yescharacteristic, complemented
42C2×#537C2211yescharacteristic, complemented
43C2×#535C2211yescharacteristic
44C2×#535C2211yescharacteristic
45C2×#535C2211yescharacteristic
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic
49C2×#532C2211yescharacteristic, complemented
50C22×#126C2212yescomplemented
51C2×#520C2211yescharacteristic, complemented
52C2×C4×#41C2211yescharacteristic, complemented
53C2×C4×#41C2211yescharacteristic, complemented
54#2857C2212yescomplemented
55#2856C2212yescomplemented
56#2856C2212yescomplemented
57#2856C2214yescomplemented
58#2856C2212yescomplemented
59#2855C2212yescomplemented
60#2854C2212yescomplemented
61#2852C2214yescomplemented
62#2850C2212yescomplemented
63#2850C2212yescomplemented
64#2842C2214yescomplemented
65#2837C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2829C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2827C2214yescomplemented
74#2826C2214yescomplemented
75#2825C2214yescomplemented
76#2825C2214yescomplemented
77#2823C2214yescomplemented
78#2818C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2813C2214yescomplemented
83#2812C2214yescomplemented
84#2803C2214yescomplemented
85#2801C2214yescomplemented
86#2797C2214yescomplemented
87#2796C2214yescomplemented
88#2795C2214yescomplemented
89#2790C2214yescomplemented
90#2780C2214yescomplemented
91#2780C2214yescomplemented
92#2780C2214yescomplemented
93#2756C2214yescomplemented
94#2752C2214yescomplemented
95#2749C2214yescomplemented
96#2746C2214yescomplemented
97#2735C2214yescomplemented
98#2714C2214yescomplemented
99#2714C2214yescomplemented
100#2714C2214yescomplemented
101#2714C2214yescomplemented
102#2705C2214yescomplemented
103#2705C2214yescomplemented
104#2705C2214yescomplemented
105#2703C2214yescomplemented
106#2699C2214yescomplemented
107#2697C2214yescomplemented
108#2691C2214yescomplemented
109#2691C2214yescomplemented
110#2691C2214yescomplemented
111#2688C2214yescomplemented
112#2685C2214yescomplemented
113#2685C2214yescomplemented
114#2685C2214yescomplemented
115#2685C2214yescomplemented
116#2678C2214yescomplemented
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2678C2214yescomplemented
120#2675C2214yescomplemented
121#2673C2214yescomplemented
122#2669C2214yescomplemented
123#2668C2214yescomplemented
124#2656C2214yescomplemented
125#2643C2214yescomplemented
126#2625C2212yescomplemented
127#2624C2212yescomplemented
128#2620C2212yescomplemented
129#2620C2212yescomplemented
130#2620C2212yescomplemented
131#2620C2212yescomplemented
132#2619C2212yescomplemented
133#2619C2212yescomplemented
134#2548C2212yescomplemented
135#2548C2211yescharacteristic, complemented
136#2547C2211yescharacteristic, complemented
137#2546C2211yescharacteristic, complemented
138#2545C2211yescharacteristic, complemented
139#2545C2212yescomplemented
140#2545C2211yescharacteristic, complemented
141#2544C2211yescharacteristic, complemented
142#2544C2211yescharacteristic, complemented
143#2544C2212yescomplemented
144#2543C2212yescomplemented
145#2543C2212yescomplemented
146#2543C2214yescomplemented
147#2542C2212yescomplemented
148#2542C2212yescomplemented
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2211yescharacteristic, complemented
153#2540C2212yescomplemented
154#2540C2212yescomplemented
155#2540C2212yescomplemented
156#2540C2212yescomplemented
157#2538C2212yescomplemented
158#2538C2212yescomplemented
159#2537C2212yescomplemented
160#2537C2212yescomplemented
161#2514C2212yescomplemented
162#2513C2212yescomplemented
163#2512C2212yescomplemented
164#2512C2212yescomplemented
165#2512C2212yescomplemented
166#2512C2212yescomplemented
167#2512C2212yescomplemented
168#2512C2212yescomplemented
169#2512C2212yescomplemented
170#2512C2212yescomplemented
171#2512C2212yescomplemented
172#2511C2212yescomplemented
173#2502C2212yescomplemented
174#2501C2212yescomplemented
175#2500C2212yescomplemented
176#2499C2212yescomplemented
177#2497C2212yescomplemented
178#2496C2212yescomplemented
179#2495C2212yescomplemented
180#2494C2212yescomplemented
181#2448C2211yescharacteristic, complemented
182#2448C2211yescharacteristic, complemented
183#2447C2211yescharacteristic, complemented
184#2447C2211yescharacteristic, complemented
185#2446C2211yescharacteristic, complemented
186#2446C2211yescharacteristic, complemented
187#2445C2211yescharacteristic, complemented
188#2445C2211yescharacteristic, complemented
189#2444C2214yescomplemented
190#2444C2212yescomplemented
191#2444C2212yescomplemented
192#2443C2212yescomplemented
193#2443C2214yescomplemented
194#2443C2214yescomplemented
195#2443C2212yescomplemented
196#2443C2214yescomplemented
197#2435C2212yes—
198#2435C2212yes—
199#2435C2212yes—
200#2433C2212yes—
201#2433C2212yes—
202#2433C2212yes—
203#2432C2212yes—
204#2432C2212yes—
205#2432C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2212yes—
209#2429C2212yescomplemented
210#2428C2212yescomplemented
211#2428C2212yescomplemented
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2428C2212yescomplemented
215#2427C2212yescomplemented
216#2426C2212yescomplemented
217#2426C2212yescomplemented
218#2426C2212yescomplemented
219#2426C2212yescomplemented
220#2426C2212yescomplemented
221#2424C2214yescomplemented
222#2424C2214yescomplemented
223#2424C2214yescomplemented
224#2424C2214yescomplemented
225#2424C2214yescomplemented
226#2424C2214yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2423C2212yescomplemented
230#2422C2212yescomplemented
231#2422C2212yescomplemented
232#2422C2212yescomplemented
233#2421C2212yescomplemented
234#2420C2212yescomplemented
235#2417C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2214yescomplemented
242#2416C2214yescomplemented
243#2416C2214yescomplemented
244#2415C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2410C2214yes—
249#2410C2214yes—
250#2410C2214yes—
251#2410C2214yes—
252#2410C2214yes—
253#2410C2214yes—
254#2408C2212yes—
255#2408C2212yes—
256#2408C2212yes—
257#2408C2212yes—
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264#2407C2212yes—
265#2407C2212yes—
266#2395C2212yescomplemented
267#2395C2212yescomplemented
268#2392C2212yescomplemented
269#2392C2212yescomplemented
270C2×#397C2212yescomplemented
271C2×#396C2212yescomplemented
272#2383C2214yescomplemented
273#2377C2214yescomplemented
274#2375C2214yescomplemented
275#2317C2211yescharacteristic, complemented
276#2317C2211yescharacteristic, complemented
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic, complemented
289#2297C2211yescharacteristic, complemented
290#2296C2211yescharacteristic, complemented
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#390C2211yescharacteristic
294C2×#389C2211yescharacteristic, complemented
295C2×#388C2212yescomplemented
296C2×#384C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C2×H(5,𝔽2)—44no—
300C2×H(5,𝔽2)—44no—
301C2×H(5,𝔽2)—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C22×#41C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2312yes—
312C23×D4C2314yes—
313#560—416no—
314#537—44no—
315#537—44no—
316#537—44no—
317#537—44no—
318#537—44no—
319#535—44no—
320#535—44no—
321#535—44no—
322#532—44no—
323#532—44no—
324#532—44no—
325#532—44no—
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×#127C2314yes—
331C2×#127C2311yescharacteristic
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2311yescharacteristic
335C2×#127C2311yescharacteristic
336C2×#127C2311yescharacteristic
337C2×#127C2312yes—
338C2×#126—48no—
339C2×#126C2314yes—
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2311yescharacteristic
347C2×#124C2311yescharacteristic
348C2×#124C2311yescharacteristic
349C2×#124C2311yescharacteristic
350C2×#124C2311yescharacteristic
351C2×#124C2311yescharacteristic
352C2×#124C2311yescharacteristic
353C2×#124C2311yescharacteristic
354C2×#124C2312yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419#520—44no—
420C4×#41—44no—
421C4×#41—44no—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2311yescharacteristic
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C42C2311yescharacteristic
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2312yes—
470C22×C42C2312yes—
471C22×C42C2312yes—
472#401C2314yes—
473#400C2312yes—
474#400C2314yes—
475#400C2314yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#399C2314yes—
480#399C2314yes—
481#399C2314yes—
482#399C2314yes—
483#399C2314yes—
484#399C2314yes—
485#399C2312yes—
486#399C2314yes—
487#399C2312yes—
488#398C2312yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2312yes—
493#398C2314yes—
494#398C2312yes—
495#398C2312yes—
496#397C2312yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2312yes—
505#397C2314yes—
506#397C2312yes—
507#397C2312yes—
508#397C2312yes—
509#397C2312yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2312yes—
516#397C2314yes—
517#396C2312yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2312yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2312yes—
536#396C2312yes—
537#396C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#394C2312yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2314yes—
607#392C2314yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2314yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2311yescharacteristic
648#390C2312yes—
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2311yescharacteristic
657#390C2311yescharacteristic
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2312yes—
671#389C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2312yes—
719#387C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2312yes—
769#385C2312yes—
770#384C2314yes—
771#384C2312yes—
772#384C2312yes—
773#384C2312yes—
774#384C2312yes—
775#384C2312yes—
776#384C2312yes—
777#383C2314yes—
778#382C2312yes—
779#382C2312yes—
780#381C2314yes—
781#381C2312yes—
782#381C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#380C2312yes—
796#379C2314yes—
797#379C2314yes—
798#379C2314yes—
799#379C2314yes—
800#379C2314yes—
801#379C2314yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C2×#95C2312yes—
827C2×#95C2311yescharacteristic
828C2×#95C2312yes—
829C2×#95C2311yescharacteristic
830C25C2412yes—
831C25C2414yes—
832H(5,𝔽2)—464no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—24no—
844C2×#41—24no—
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×D4—24no—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4—48no—
869C22×D4—48no—
870C22×D4—48no—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C4⋊Q8—42no—
926C4⋊Q8—42no—
927C4⋊Q8—42no—
928C4⋊Q8—42no—
929#127—42no—
930#127—42no—
931#127—42no—
932#127—42no—
933#127—44no—
934#127—44no—
935#127—44no—
936#127—48no—
937#126—216no—
938#126—48no—
939#126—48no—
940#126—48no—
941#126—48no—
942#124—42no—
943#124—42no—
944#124—42no—
945#124—42no—
946#124—42no—
947#124—42no—
948#124—42no—
949#124—42no—
950#124—44no—
951#124—44no—
952#124—44no—
953#123—28no—
954#123—48no—
955#123—44no—
956#123—48no—
957#123—84no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—44no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968#121—28no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—44no—
973#121—48no—
974#121—48no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—48no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—48no—
1005#121—84no—
1006#121—84no—
1007#121—84no—
1008#120—48no—
1009#120—48no—
1010#120—48no—
1011#120—48no—
1012#120—48no—
1013#120—48no—
1014#120—48no—
1015#120—84no—
1016#120—84no—
1017C4×Q8—42no—
1018C4×Q8—42no—
1019C4×Q8—42no—
1020C4×Q8—42no—
1021C4×Q8—44no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—42no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—48no—
1040#117—24no—
1041#117—24no—
1042#117—24no—
1043#117—44no—
1044#117—44no—
1045#117—44no—
1046C2×C4⋊C4—24no—
1047C2×C4⋊C4—24no—
1048C2×C4⋊C4—24no—
1049C2×C4⋊C4—24no—
1050C2×C4⋊C4—42no—
1051C2×C4⋊C4—44no—
1052C2×C4⋊C4—44no—
1053C2×C4⋊C4—44no—
1054C2×C4⋊C4—82no—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C22⋊C4—44no—
1108C2×C22⋊C4—44no—
1109C2×C22⋊C4—44no—
1110C2×C22⋊C4—44no—
1111C2×C22⋊C4—82no—
1112C2×C22⋊C4—82no—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42—24no—
1196C2×C42—44no—
1197C2×C42—44no—
1198C2×C42—44no—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2412yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2414yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2414yes—
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2414yes—
1229#95C2414yes—
1230#95C2411yescharacteristic
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—44no—
1273C24—44no—
1274C24—44no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24C2514yes—
1284C24C2512yes—
1285C24C2512yes—
1286C24C2512yes—
1287C24C2512yes—
1288C24C2512yes—
1289C24C2511yescharacteristic
1290#41—432no—
1291#41—432no—
1292#41—416no—
1293#41—416no—
1294#41—416no—
1295#41—416no—
1296#41—416no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—464no—
1412C2×D4—432no—
1413C2×D4—432no—
1414C2×D4—416no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—41no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—41no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—41no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4H(5,𝔽2)14yes—
1476C22×C4H(5,𝔽2)14yes—
1477C22×C4H(5,𝔽2)14yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2514yes—
1495C22×C4C2514yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—41no—
1527C4⋊C4—41no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4H(5,𝔽2)14yescomplemented
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—24no—
1651C42—24no—
1652C42—28no—
1653C42—24no—
1654C42—42no—
1655C42—42no—
1656C42—42no—
1657C42—42no—
1658C42—44no—
1659C42—44no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—24no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—24no—
1686C23—24no—
1687C23—24no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—24no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—24no—
1706C23—416no—
1707C23—48no—
1708C23—84no—
1709C23—84no—
1710C23—84no—
1711C23—84no—
1712C23—84no—
1713C23—84no—
1714C23—164no—
1715C23—164no—
1716C23—164no—
1717C23—164no—
1718C23—164no—
1719C23—164no—
1720C23C2×H(5,𝔽2)12yes—
1721C23C2×H(5,𝔽2)12yes—
1722C23C2×H(5,𝔽2)12yes—
1723C23C2611yescharacteristic
1724Q8—44no—
1725Q8—44no—
1726Q8—44no—
1727Q8—44no—
1728Q8—44no—
1729D4—416no—
1730D4—416no—
1731D4—48no—
1732D4—48no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—44no—
1738D4—48no—
1739D4—44no—
1740D4—44no—
1741D4—44no—
1742D4—44no—
1743D4—84no—
1744D4—84no—
1745D4—84no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—84no—
1750D4—84no—
1751D4—164no—
1752D4—164no—
1753D4—164no—
1754D4—164no—
1755D4—164no—
1756D4—164no—
1757D4—164no—
1758D4—164no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—24no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—416no—
1841C2×C4—48no—
1842C2×C4—48no—
1843C2×C4—48no—
1844C2×C4—48no—
1845C2×C4—48no—
1846C2×C4—84no—
1847C2×C4—84no—
1848C2×C4—84no—
1849C2×C4—84no—
1850C2×C4—82no—
1851C2×C4—84no—
1852C2×C4—84no—
1853C2×C4—82no—
1854C2×C4—84no—
1855C2×C4—164no—
1856C2×C4#560116yescomplemented
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4#58512yes—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—44no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—44no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—44no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—44no—
1915C22—168no—
1916C22—1616no—
1917C22C2×#56014yes—
1918C22C22×H(5,𝔽2)11yescharacteristic
1919C22C22×H(5,𝔽2)11yescharacteristic
1920C22C22×H(5,𝔽2)11yescharacteristic
1921C22C22×H(5,𝔽2)11yescharacteristic
1922C22C2×#58511yescharacteristic
1923C22H(7,𝔽2)11yescharacteristic
1924C222−1+611yescharacteristic
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—41no—
1930C4—42no—
1931C4—44no—
1932C4—41no—
1933C4—41no—
1934C4—42no—
1935C4—41no—
1936C4—41no—
1937C4—42no—
1938C4—44no—
1939C4—44no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—41no—
1948C4—41no—
1949C4—41no—
1950C4—42no—
1951C4C2×#56014yes—
1952C4C2×#56014yes—
1953C2—24no—
1954C2—82no—
1955C2—82no—
1956C2—82no—
1957C2—82no—
1958C2—82no—
1959C2—84no—
1960C2C22×#56011yescharacteristic
1961C2#6283411yescharacteristic
1962C2#6287811yescharacteristic
1963C2#6291411yescharacteristic
1964C2#6291611yescharacteristic
1965C2#6293111yescharacteristic
1966C2#6295711yescharacteristic
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. #53102C2semidirect
2. #53095C2semidirect
3. #53066C2semidirect
4. #53060C2semidirect
5. #53059C2semidirect
6. #53018C2semidirect
7. #52981C2semidirect
8. #52977C2semidirect
9. #52472C2semidirect
10. #52471C2semidirect
11. #46038C2semidirect
12. #45970C2semidirect
13. #45721C2semidirect
14. #45647C2semidirect
15. #45642C2semidirect
16. #45628C2semidirect
17. #45608C2semidirect
18. #45522C2semidirect
19. #45487C2semidirect
20. #45483C2semidirect
21. #35564C2semidirect
22. #35533C2semidirect
23. #35530C2semidirect
24. #35513C2semidirect
25. #35513C2semidirect
26. #35513C2semidirect
27. #35273C2semidirect
28. #35256C2semidirect
29. #35256C2semidirect
30. #35255C2semidirect
31. #35166C2semidirect
32. #35160C2semidirect
33. #34937C2semidirect
34. C2×#2512C2semidirect
35. #34744C2semidirect
37. C2×#560C22semidirect
41. C2×#537C22semidirect
42. C2×#537C22semidirect
49. C2×#532C22semidirect
50. C22×#126C22semidirect
51. C2×#520C22semidirect
52. C2×C4×#41C22semidirect
53. C2×C4×#41C22semidirect
54. #2857C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2856C22semidirect
58. #2856C22semidirect
59. #2855C22semidirect
60. #2854C22semidirect
61. #2852C22semidirect
62. #2850C22semidirect
63. #2850C22semidirect
64. #2842C22semidirect
65. #2837C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2829C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2827C22semidirect
74. #2826C22semidirect
75. #2825C22semidirect
76. #2825C22semidirect
77. #2823C22semidirect
78. #2818C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
82. #2813C22semidirect
83. #2812C22semidirect
84. #2803C22semidirect
85. #2801C22semidirect
86. #2797C22semidirect
87. #2796C22semidirect
88. #2795C22semidirect
89. #2790C22semidirect
90. #2780C22semidirect
91. #2780C22semidirect
92. #2780C22semidirect
93. #2756C22semidirect
94. #2752C22semidirect
95. #2749C22semidirect
96. #2746C22semidirect
97. #2735C22semidirect
98. #2714C22semidirect
99. #2714C22semidirect
100. #2714C22semidirect
101. #2714C22semidirect
102. #2705C22semidirect
103. #2705C22semidirect
104. #2705C22semidirect
105. #2703C22semidirect
106. #2699C22semidirect
107. #2697C22semidirect
108. #2691C22semidirect
109. #2691C22semidirect
110. #2691C22semidirect
111. #2688C22semidirect
112. #2685C22semidirect
113. #2685C22semidirect
114. #2685C22semidirect
115. #2685C22semidirect
116. #2678C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
119. #2678C22semidirect
120. #2675C22semidirect
121. #2673C22semidirect
122. #2669C22semidirect
123. #2668C22semidirect
124. #2656C22semidirect
125. #2643C22semidirect
126. #2625C22semidirect
127. #2624C22semidirect
128. #2620C22semidirect
129. #2620C22semidirect
130. #2620C22semidirect
131. #2620C22semidirect
132. #2619C22semidirect
133. #2619C22semidirect
134. #2548C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
137. #2546C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
141. #2544C22semidirect
142. #2544C22semidirect
143. #2544C22semidirect
144. #2543C22semidirect
145. #2543C22semidirect
146. #2543C22semidirect
147. #2542C22semidirect
148. #2542C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2540C22semidirect
154. #2540C22semidirect
155. #2540C22semidirect
156. #2540C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
159. #2537C22semidirect
160. #2537C22semidirect
161. #2514C22semidirect
162. #2513C22semidirect
163. #2512C22semidirect
164. #2512C22semidirect
165. #2512C22semidirect
166. #2512C22semidirect
167. #2512C22semidirect
168. #2512C22semidirect
169. #2512C22semidirect
170. #2512C22semidirect
171. #2512C22semidirect
172. #2511C22semidirect
173. #2502C22semidirect
174. #2501C22semidirect
175. #2500C22semidirect
176. #2499C22semidirect
177. #2497C22semidirect
178. #2496C22semidirect
179. #2495C22semidirect
180. #2494C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2446C22semidirect
186. #2446C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2444C22semidirect
190. #2444C22semidirect
191. #2444C22semidirect
192. #2443C22semidirect
193. #2443C22semidirect
194. #2443C22semidirect
195. #2443C22semidirect
196. #2443C22semidirect
209. #2429C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
218. #2426C22semidirect
219. #2426C22semidirect
220. #2426C22semidirect
221. #2424C22semidirect
222. #2424C22semidirect
223. #2424C22semidirect
224. #2424C22semidirect
225. #2424C22semidirect
226. #2424C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2423C22semidirect
230. #2422C22semidirect
231. #2422C22semidirect
232. #2422C22semidirect
233. #2421C22semidirect
234. #2420C22semidirect
235. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
266. #2395C22semidirect
267. #2395C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. C2×#397C22semidirect
271. C2×#396C22semidirect
272. #2383C22semidirect
273. #2377C22semidirect
274. #2375C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
280. #2311C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. #2296C22semidirect
294. C2×#389C22semidirect
295. C2×#388C22semidirect
296. C2×#384C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1557. C4⋊C4H(5,𝔽2)semidirect
1856. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#531022
#530952
#530662
#530602
#530592
#530182
#529812
#529772
#524722
#524712
#460382
#459702
#457212
#456472
#456422
#456282
#456082
#455222
#454872
#454832
#355642
#355332
#355302
#355132
#352732
#352562
#352552
#351662
#351602
#349372
C2×#25122
#347442