Finite Group Databasebeta

← #8094787

Subgroups — #8094787

Order 512.

6264 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53102C212yesmaximal, complemented
2#53096C212yesmaximal, complemented
3#53088C212yesmaximal, complemented
4#53088C212yesmaximal, complemented
5#53063C212yesmaximal, complemented
6#53000C212yesmaximal, complemented
7#53000C212yesmaximal, complemented
8#52971C212yesmaximal, complemented
9#52313C214yesmaximal, complemented
10#52313C214yesmaximal, complemented
11#46063C212yesmaximal, complemented
12#46061C212yesmaximal, complemented
13#46010C212yesmaximal, complemented
14#45992C212yesmaximal, complemented
15#45727C214yesmaximal, complemented
16#45716C212yesmaximal, complemented
17#45655C212yesmaximal, complemented
18#45593C212yesmaximal, complemented
19#45483C212yesmaximal, complemented
20#45455C214yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35533C211yesmaximal, characteristic, complemented
23#35531C211yesmaximal, characteristic, complemented
24#35527C211yesmaximal, characteristic, complemented
25#35513C211yesmaximal, characteristic, complemented
26#35513C211yesmaximal, characteristic, complemented
27#35274C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic, complemented
31#35168C211yesmaximal, characteristic, complemented
32#35165C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34816C211yesmaximal, characteristic, complemented
35C2×#2445C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C2×#560C2214yescomplemented
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#535C2211yescharacteristic
44C2×#535C2211yescharacteristic, complemented
45C2×#535C2211yescharacteristic, complemented
46C2×#532C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#532C2211yescharacteristic, complemented
49C22×#127C2211yescharacteristic
50C22×#123C2212yescomplemented
51C2×#520C2211yescharacteristic, complemented
52C2×C4×#41C2211yescharacteristic, complemented
53C22×C4×D4C2211yescharacteristic, complemented
54#2867C2212yescomplemented
55#2863C2212yescomplemented
56#2860C2212yescomplemented
57#2858C2212yescomplemented
58#2856C2212yescomplemented
59#2854C2212yescomplemented
60#2854C2212yescomplemented
61#2850C2212yescomplemented
62#2847C2214yescomplemented
63#2847C2214yescomplemented
64#2829C2214yescomplemented
65#2829C2214yescomplemented
66#2828C2214yescomplemented
67#2828C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2826C2214yescomplemented
71#2826C2214yescomplemented
72#2825C2214yescomplemented
73#2825C2214yescomplemented
74#2825C2214yescomplemented
75#2825C2214yescomplemented
76#2818C2214yescomplemented
77#2818C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2813C2214yescomplemented
81#2813C2214yescomplemented
82#2812C2214yescomplemented
83#2812C2214yescomplemented
84#2803C2214yescomplemented
85#2803C2214yescomplemented
86#2778C2214yescomplemented
87#2778C2214yescomplemented
88#2778C2214yescomplemented
89#2778C2214yescomplemented
90#2757C2214yescomplemented
91#2757C2214yescomplemented
92#2756C2214yescomplemented
93#2756C2214yescomplemented
94#2748C2214yescomplemented
95#2709C2214yescomplemented
96#2709C2214yescomplemented
97#2709C2214yescomplemented
98#2705C2214yescomplemented
99#2705C2214yescomplemented
100#2703C2214yescomplemented
101#2703C2214yescomplemented
102#2703C2214yescomplemented
103#2703C2214yescomplemented
104#2697C2214yescomplemented
105#2693C2214yescomplemented
106#2693C2214yescomplemented
107#2685C2214yescomplemented
108#2685C2214yescomplemented
109#2678C2214yescomplemented
110#2678C2214yescomplemented
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2673C2214yescomplemented
114#2673C2214yescomplemented
115#2673C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2668C2214yescomplemented
123#2668C2214yescomplemented
124#2657C2212yescomplemented
125#2657C2212yescomplemented
126#2645C2212yescomplemented
127#2644C2212yescomplemented
128#2624C2212yescomplemented
129#2624C2212yescomplemented
130#2620C2212yescomplemented
131#2619C2212yescomplemented
132#2617C2214yescomplemented
133#2617C2214yescomplemented
134#2548C2211yescharacteristic, complemented
135#2548C2212yescomplemented
136#2547C2212yescomplemented
137#2547C2211yescharacteristic, complemented
138#2546C2211yescharacteristic, complemented
139#2545C2211yescharacteristic, complemented
140#2545C2212yescomplemented
141#2545C2211yescharacteristic, complemented
142#2544C2211yescharacteristic, complemented
143#2544C2212yescomplemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2544C2211yescharacteristic, complemented
147#2543C2212yescomplemented
148#2543C2214yescomplemented
149#2543C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2212yescomplemented
155#2541C2211yescharacteristic, complemented
156#2541C2212yescomplemented
157#2537C2212yescomplemented
158#2537C2212yescomplemented
159#2535C2212yescomplemented
160#2535C2212yescomplemented
161#2514C2211yescharacteristic, complemented
162#2514C2211yescharacteristic, complemented
163#2513C2211yescharacteristic, complemented
164#2513C2211yescharacteristic, complemented
165#2512C2211yescharacteristic, complemented
166#2512C2211yescharacteristic, complemented
167#2511C2211yescharacteristic, complemented
168#2511C2211yescharacteristic, complemented
169#2510C2212yescomplemented
170#2510C2212yescomplemented
171#2510C2214yescomplemented
172#2504C2212yescomplemented
173#2501C2212yescomplemented
174#2500C2212yescomplemented
175#2500C2212yescomplemented
176#2497C2212yescomplemented
177#2496C2212yescomplemented
178#2495C2212yescomplemented
179#2494C2212yescomplemented
180#2481C2212yescomplemented
181#2481C2212yescomplemented
182#2481C2214yescomplemented
183#2448C2212yescomplemented
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2448C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2212yescomplemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2435C2212yescomplemented
200#2435C2212yescomplemented
201#2433C2212yes—
202#2433C2212yes—
203#2433C2212yes—
204#2433C2212yes—
205#2433C2212yescomplemented
206#2433C2212yescomplemented
207#2433C2214yescomplemented
208#2433C2214yescomplemented
209#2432C2212yescomplemented
210#2432C2212yescomplemented
211#2431C2212yes—
212#2431C2212yes—
213#2431C2212yes—
214#2431C2212yes—
215#2431C2212yescomplemented
216#2431C2212yescomplemented
217#2429C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2427C2212yescomplemented
226#2427C2212yescomplemented
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2427C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2424C2214yescomplemented
234#2424C2214yescomplemented
235#2424C2214yescomplemented
236#2424C2214yescomplemented
237#2418C2214yescomplemented
238#2418C2214yescomplemented
239#2418C2214yescomplemented
240#2418C2214yescomplemented
241#2417C2212yescomplemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2416C2214yescomplemented
245#2416C2212yescomplemented
246#2416C2212yescomplemented
247#2416C2212yescomplemented
248#2415C2212yescomplemented
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2410C2214yes—
253#2410C2214yes—
254#2410C2214yes—
255#2410C2214yes—
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2408C2212yescomplemented
259#2408C2212yescomplemented
260#2407C2212yescomplemented
261#2407C2212yescomplemented
262#2407C2212yescomplemented
263#2407C2212yescomplemented
264#2403C2214yes—
265#2403C2214yes—
266#2401C2212yescomplemented
267#2401C2212yescomplemented
268#2392C2212yescomplemented
269#2392C2212yescomplemented
270C2×#394C2212yescomplemented
271C2×#394C2212yescomplemented
272#2380C2214yescomplemented
273#2376C2214yescomplemented
274#2375C2214yescomplemented
275#2317C2211yescharacteristic, complemented
276#2316C2211yescharacteristic, complemented
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic, complemented
280#2309C2211yescharacteristic
281C4×#126C2212yescomplemented
282C4×#126C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic, complemented
290#2296C2211yescharacteristic, complemented
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#390C2211yescharacteristic, complemented
294C2×#389C2211yescharacteristic, complemented
295C2×#386C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, 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×#41C2312yes—
307C22×#41C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2314yes—
311C23×D4C2312yes—
312C23×D4C2312yes—
313C23×D4C2312yes—
314C23×D4C2312yes—
315C24×C4C2312yes—
316#560—416no—
317#537—44no—
318#537—44no—
319#535—44no—
320#535—44no—
321#535—44no—
322#535—44no—
323#535—44no—
324#535—44no—
325#532—44no—
326#532—44no—
327#532—44no—
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2311yescharacteristic
331C2×#127—44no—
332C2×#127C2314yes—
333C2×#127C2314yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2311yescharacteristic
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2311yescharacteristic
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2314yes—
348C2×#127C2314yes—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2311yescharacteristic
358C2×#124C2311yescharacteristic
359C2×#124C2311yescharacteristic
360C2×#124C2311yescharacteristic
361C2×#124C2311yescharacteristic
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#123—48no—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426#520—44no—
427C4×#41—44no—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×D4—44no—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2311yescharacteristic
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C2×#117C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2312yes—
471#401C2314yes—
472#401C2312yes—
473#401C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#400C2314yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#399C2314yes—
484#399C2314yes—
485#399C2314yes—
486#399C2314yes—
487#398C2312yes—
488#398C2314yes—
489#398C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2312yes—
506#397C2312yes—
507#397C2314yes—
508#397C2312yes—
509#397C2312yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2312yes—
519#396C2312yes—
520#396C2312yes—
521#396C2312yes—
522#396C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
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#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
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#392C2314yes—
606#392C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2314yes—
637#390C2314yes—
638#390C2314yes—
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2312yes—
647#390C2311yescharacteristic
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2314yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2312yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2312yes—
753#386C2312yes—
754#386C2312yes—
755#386C2312yes—
756#386C2312yes—
757#386C2314yes—
758#386C2314yes—
759#386C2312yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#384C2312yes—
768#384C2311yescharacteristic
769#384C2311yescharacteristic
770#383C2312yes—
771#383C2312yes—
772#383C2314yes—
773#382C2312yes—
774#382C2311yescharacteristic
775#382C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2312yes—
792#379C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2314yes—
796#379C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
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—
825#376C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C2×#95C2311yescharacteristic
829C43C2312yes—
830C25C2412yes—
831C25C2412yes—
832C25C2414yes—
833H(5,𝔽2)—464no—
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—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—44no—
852C22×Q8C2411yescharacteristic
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×D4—24no—
857C22×D4—24no—
858C22×D4—24no—
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—44no—
869C22×D4—44no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—48no—
873C22×D4—48no—
874C22×D4—48no—
875C22×D4—82no—
876C22×D4—82no—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4—82no—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2411yescharacteristic
937C4⋊Q8—42no—
938C4⋊Q8—42no—
939C4⋊Q8—42no—
940#127—44no—
941#127—44no—
942#127—44no—
943#127—44no—
944#127—48no—
945#127—42no—
946#127—42no—
947#127—42no—
948#127—44no—
949#127—44no—
950#127—44no—
951#127—44no—
952#127—44no—
953#127—44no—
954#127—48no—
955#127—84no—
956#127—84no—
957#126—28no—
958#126—44no—
959#126—48no—
960#124—42no—
961#124—42no—
962#124—42no—
963#124—42no—
964#124—42no—
965#124—42no—
966#124—44no—
967#124—44no—
968#124—44no—
969#124—44no—
970#124—44no—
971#124—44no—
972#123—216no—
973#123—48no—
974#123—48no—
975#123—48no—
976#123—48no—
977#123—48no—
978#123—84no—
979#123—84no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982C22⋊Q8—44no—
983C22⋊Q8—44no—
984#121—28no—
985#121—48no—
986#121—48no—
987#121—44no—
988#121—48no—
989#121—48no—
990#121—44no—
991#121—44no—
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—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—48no—
1007#121—44no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—48no—
1014#121—48no—
1015#121—84no—
1016#121—84no—
1017#121—84no—
1018#121—84no—
1019#120—48no—
1020#120—48no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024#120—48no—
1025#120—48no—
1026#120—48no—
1027#120—48no—
1028#120—48no—
1029#120—84no—
1030#120—84no—
1031#120—84no—
1032#120—84no—
1033C4×Q8—42no—
1034C4×Q8—42no—
1035C4×Q8—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—42no—
1041C4×D4—42no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—48no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—24no—
1056#117—44no—
1057#117—44no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—24no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—42no—
1062C2×C4⋊C4—44no—
1063C2×C4⋊C4—44no—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C22⋊C4—44no—
1110C2×C22⋊C4—44no—
1111C2×C22⋊C4—44no—
1112C2×C22⋊C4—44no—
1113C2×C22⋊C4—82no—
1114C2×C22⋊C4—82no—
1115C2×C22⋊C4—82no—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C42—24no—
1196C2×C42—24no—
1197C2×C42—24no—
1198C2×C42—44no—
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
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×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2412yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
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#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274C24—24no—
1275C24—24no—
1276C24—24no—
1277C24—24no—
1278C24—24no—
1279C24—24no—
1280C24—42no—
1281C24—42no—
1282C24—42no—
1283C24—42no—
1284C24—44no—
1285C24—44no—
1286C24—44no—
1287C24—42no—
1288C24—42no—
1289C24—42no—
1290C24—42no—
1291C24—44no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24C2512yes—
1296C24C2514yes—
1297C24C2512yes—
1298C24C2514yes—
1299C24C2512yes—
1300C24C2512yes—
1301C24C2511yescharacteristic
1302#41—432no—
1303#41—432no—
1304#41—416no—
1305#41—416no—
1306#41—416no—
1307#41—416no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
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—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
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—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
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—464no—
1435C2×D4—432no—
1436C2×D4—432no—
1437C2×D4—416no—
1438C2×D4—416no—
1439C2×D4—816no—
1440C2×D4—816no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—28no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—41no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—816no—
1496C22×C4H(5,𝔽2)14yes—
1497C22×C4H(5,𝔽2)14yes—
1498C22×C4H(5,𝔽2)14yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2512yes—
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2514yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2511yescharacteristic
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—28no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—41no—
1548C4⋊C4—41no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4H(5,𝔽2)14yescomplemented
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C42—22no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—22no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—24no—
1667C42—24no—
1668C42—24no—
1669C42—42no—
1670C42—42no—
1671C42—44no—
1672C42—42no—
1673C42—42no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—22no—
1679C23—24no—
1680C23—22no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—24no—
1686C23—24no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—24no—
1697C23—24no—
1698C23—24no—
1699C23—22no—
1700C23—22no—
1701C23—24no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—24no—
1706C23—22no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—24no—
1714C23—22no—
1715C23—24no—
1716C23—22no—
1717C23—22no—
1718C23—24no—
1719C23—22no—
1720C23—48no—
1721C23—48no—
1722C23—416no—
1723C23—48no—
1724C23—48no—
1725C23—84no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23—84no—
1730C23—84no—
1731C23—84no—
1732C23—84no—
1733C23—84no—
1734C23—84no—
1735C23—164no—
1736C23—164no—
1737C23—164no—
1738C23—164no—
1739C23—164no—
1740C23—164no—
1741C23C2×H(5,𝔽2)12yes—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2×H(5,𝔽2)12yes—
1744C23C2611yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—44no—
1748Q8—44no—
1749D4—416no—
1750D4—416no—
1751D4—48no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—44no—
1759D4—48no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—84no—
1764D4—84no—
1765D4—84no—
1766D4—84no—
1767D4—88no—
1768D4—88no—
1769D4—84no—
1770D4—84no—
1771D4—88no—
1772D4—88no—
1773D4—164no—
1774D4—164no—
1775D4—164no—
1776D4—164no—
1777D4—164no—
1778D4—164no—
1779D4—164no—
1780D4—164no—
1781D4—164no—
1782D4—164no—
1783D4—164no—
1784D4—164no—
1785D4—164no—
1786D4—164no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
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—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—24no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—416no—
1866C2×C4—48no—
1867C2×C4—48no—
1868C2×C4—48no—
1869C2×C4—48no—
1870C2×C4—84no—
1871C2×C4—88no—
1872C2×C4—82no—
1873C2×C4—84no—
1874C2×C4—82no—
1875C2×C4—84no—
1876C2×C4—84no—
1877C2×C4—88no—
1878C2×C4—164no—
1879C2×C4#560116yescomplemented
1880C2×C4C2×H(5,𝔽2)12yes—
1881C2×C4C2×H(5,𝔽2)12yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4C2×H(5,𝔽2)12yes—
1884C2×C4C2×H(5,𝔽2)12yes—
1885C2×C4C2×H(5,𝔽2)12yes—
1886C2×C4C2×H(5,𝔽2)12yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4#58512yes—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—44no—
1906C22—42no—
1907C22—44no—
1908C22—44no—
1909C22—42no—
1910C22—44no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—44no—
1917C22—42no—
1918C22—42no—
1919C22—44no—
1920C22—42no—
1921C22—44no—
1922C22—44no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—44no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—44no—
1932C22—42no—
1933C22—42no—
1934C22—44no—
1935C22—42no—
1936C22—44no—
1937C22—42no—
1938C22—816no—
1939C22—168no—
1940C22—1616no—
1941C22C2×#56014yes—
1942C22C22×H(5,𝔽2)11yescharacteristic
1943C22C22×H(5,𝔽2)11yescharacteristic
1944C22C22×H(5,𝔽2)11yescharacteristic
1945C22C22×H(5,𝔽2)11yescharacteristic
1946C22C2×#58511yescharacteristic
1947C22H(7,𝔽2)11yescharacteristic
1948C22H(7,𝔽2)11yescharacteristic
1949C4—22no—
1950C4—22no—
1951C4—22no—
1952C4—22no—
1953C4—41no—
1954C4—42no—
1955C4—42no—
1956C4—41no—
1957C4—41no—
1958C4—42no—
1959C4—42no—
1960C4—41no—
1961C4—41no—
1962C4—44no—
1963C4—44no—
1964C4—42no—
1965C4—42no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4—42no—
1975C4C2×#56014yes—
1976C4C2×#56014yes—
1977C2—24no—
1978C2—82no—
1979C2—82no—
1980C2—84no—
1981C2—82no—
1982C2—82no—
1983C2—84no—
1984C2C22×#56011yescharacteristic
1985C2#6283411yescharacteristic
1986C2#6288011yescharacteristic
1987C2#6291211yescharacteristic
1988C2#6291611yescharacteristic
1989C2#6292411yescharacteristic
1990C2#6296111yescharacteristic
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. #53096C2semidirect
3. #53088C2semidirect
4. #53088C2semidirect
5. #53063C2semidirect
6. #53000C2semidirect
7. #53000C2semidirect
8. #52971C2semidirect
9. #52313C2semidirect
10. #52313C2semidirect
11. #46063C2semidirect
12. #46061C2semidirect
13. #46010C2semidirect
14. #45992C2semidirect
15. #45727C2semidirect
16. #45716C2semidirect
17. #45655C2semidirect
18. #45593C2semidirect
19. #45483C2semidirect
20. #45455C2semidirect
21. #35564C2semidirect
22. #35533C2semidirect
23. #35531C2semidirect
24. #35527C2semidirect
25. #35513C2semidirect
26. #35513C2semidirect
27. #35274C2semidirect
28. #35267C2semidirect
29. #35256C2semidirect
30. #35254C2semidirect
31. #35168C2semidirect
32. #35165C2semidirect
33. #34937C2semidirect
34. #34816C2semidirect
35. C2×#2445C2semidirect
37. C2×#560C22semidirect
44. C2×#535C22semidirect
45. C2×#535C22semidirect
48. C2×#532C22semidirect
50. C22×#123C22semidirect
51. C2×#520C22semidirect
52. C2×C4×#41C22semidirect
53. C22×C4×D4C22semidirect
54. #2867C22semidirect
55. #2863C22semidirect
56. #2860C22semidirect
57. #2858C22semidirect
58. #2856C22semidirect
59. #2854C22semidirect
60. #2854C22semidirect
61. #2850C22semidirect
62. #2847C22semidirect
63. #2847C22semidirect
64. #2829C22semidirect
65. #2829C22semidirect
66. #2828C22semidirect
67. #2828C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2826C22semidirect
71. #2826C22semidirect
72. #2825C22semidirect
73. #2825C22semidirect
74. #2825C22semidirect
75. #2825C22semidirect
76. #2818C22semidirect
77. #2818C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2813C22semidirect
81. #2813C22semidirect
82. #2812C22semidirect
83. #2812C22semidirect
84. #2803C22semidirect
85. #2803C22semidirect
86. #2778C22semidirect
87. #2778C22semidirect
88. #2778C22semidirect
89. #2778C22semidirect
90. #2757C22semidirect
91. #2757C22semidirect
92. #2756C22semidirect
93. #2756C22semidirect
94. #2748C22semidirect
95. #2709C22semidirect
96. #2709C22semidirect
97. #2709C22semidirect
98. #2705C22semidirect
99. #2705C22semidirect
100. #2703C22semidirect
101. #2703C22semidirect
102. #2703C22semidirect
103. #2703C22semidirect
104. #2697C22semidirect
105. #2693C22semidirect
106. #2693C22semidirect
107. #2685C22semidirect
108. #2685C22semidirect
109. #2678C22semidirect
110. #2678C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
113. #2673C22semidirect
114. #2673C22semidirect
115. #2673C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2668C22semidirect
123. #2668C22semidirect
124. #2657C22semidirect
125. #2657C22semidirect
126. #2645C22semidirect
127. #2644C22semidirect
128. #2624C22semidirect
129. #2624C22semidirect
130. #2620C22semidirect
131. #2619C22semidirect
132. #2617C22semidirect
133. #2617C22semidirect
134. #2548C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
137. #2547C22semidirect
138. #2546C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
141. #2545C22semidirect
142. #2544C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2544C22semidirect
147. #2543C22semidirect
148. #2543C22semidirect
149. #2543C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2537C22semidirect
158. #2537C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2514C22semidirect
162. #2514C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2512C22semidirect
166. #2512C22semidirect
167. #2511C22semidirect
168. #2511C22semidirect
169. #2510C22semidirect
170. #2510C22semidirect
171. #2510C22semidirect
172. #2504C22semidirect
173. #2501C22semidirect
174. #2500C22semidirect
175. #2500C22semidirect
176. #2497C22semidirect
177. #2496C22semidirect
178. #2495C22semidirect
179. #2494C22semidirect
180. #2481C22semidirect
181. #2481C22semidirect
182. #2481C22semidirect
183. #2448C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2435C22semidirect
200. #2435C22semidirect
205. #2433C22semidirect
206. #2433C22semidirect
207. #2433C22semidirect
208. #2433C22semidirect
209. #2432C22semidirect
210. #2432C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
217. #2429C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2427C22semidirect
226. #2427C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2427C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2424C22semidirect
234. #2424C22semidirect
235. #2424C22semidirect
236. #2424C22semidirect
237. #2418C22semidirect
238. #2418C22semidirect
239. #2418C22semidirect
240. #2418C22semidirect
241. #2417C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2415C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
258. #2408C22semidirect
259. #2408C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
262. #2407C22semidirect
263. #2407C22semidirect
266. #2401C22semidirect
267. #2401C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. C2×#394C22semidirect
271. C2×#394C22semidirect
272. #2380C22semidirect
273. #2376C22semidirect
274. #2375C22semidirect
275. #2317C22semidirect
276. #2316C22semidirect
279. #2311C22semidirect
281. C4×#126C22semidirect
282. C4×#126C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
289. #2297C22semidirect
290. #2296C22semidirect
293. C2×#390C22semidirect
294. C2×#389C22semidirect
295. C2×#386C22semidirect
296. #2285C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1571. C4⋊C4H(5,𝔽2)semidirect
1879. C2×C4#560semidirect

Maximal subgroups

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

subgroupindex
#531022
#530962
#530882
#530632
#530002
#529712
#523132
#460632
#460612
#460102
#459922
#457272
#457162
#456552
#455932
#454832
#454552
#355642
#355332
#355312
#355272
#355132
#352742
#352672
#352562
#352542
#351682
#351652
#349372
#348162
C2×#24452