Finite Group Databasebeta

← #7650120

Subgroups — #7650120

Order 512.

6224 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42977C212yesmaximal, complemented
2#42976C212yesmaximal, complemented
3#42893C212yesmaximal, complemented
4#42838C212yesmaximal, complemented
5#42581C212yesmaximal, complemented
6#42566C212yesmaximal, complemented
7#42520C212yesmaximal, complemented
8#42518C212yesmaximal, complemented
9#40783C214yesmaximal, complemented
10#40725C214yesmaximal, complemented
11#40164C212yesmaximal, complemented
12#40129C212yesmaximal, complemented
13#40033C212yesmaximal, complemented
14#40030C212yesmaximal, complemented
15#39396C212yesmaximal, complemented
16#39383C212yesmaximal, complemented
17#39218C212yesmaximal, complemented
18#39198C212yesmaximal, complemented
19#38564C214yesmaximal, complemented
20#37716C214yesmaximal, complemented
21#35541C211yesmaximal, characteristic, complemented
22#35533C211yesmaximal, characteristic, complemented
23#35531C211yesmaximal, characteristic, complemented
24#35528C211yesmaximal, characteristic, complemented
25#35527C211yesmaximal, characteristic, complemented
26#35513C211yesmaximal, characteristic, complemented
27#35266C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34955C211yesmaximal, characteristic, complemented
31#34952C211yesmaximal, characteristic, complemented
32C2×#2548C211yesmaximal, characteristic, complemented
33#34275C211yesmaximal, characteristic, complemented
34#34274C211yesmaximal, characteristic, complemented
35#34258C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C2×#538C2214yescomplemented
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C22×#124C2212yescomplemented
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic, complemented
48C2×#518C2211yescharacteristic, complemented
49C2×C4×#41C2211yescharacteristic
50C22×C4×Q8C2211yescharacteristic, complemented
51#2860C2212yescomplemented
52#2860C2212yescomplemented
53#2856C2212yescomplemented
54#2852C2214yescomplemented
55#2850C2212yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2826C2214yescomplemented
59#2825C2214yescomplemented
60#2803C2214yescomplemented
61#2803C2214yescomplemented
62#2797C2214yescomplemented
63#2781C2214yescomplemented
64#2780C2214yescomplemented
65#2778C2214yescomplemented
66#2778C2214yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2750C2214yescomplemented
70#2749C2214yescomplemented
71#2733C2214yescomplemented
72#2730C2214yescomplemented
73#2715C2214yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2710C2214yescomplemented
78#2708C2214yescomplemented
79#2703C2214yescomplemented
80#2697C2214yescomplemented
81#2688C2214yescomplemented
82#2686C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2684C2214yescomplemented
86#2682C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2676C2214yescomplemented
90#2670C2214yescomplemented
91#2668C2214yescomplemented
92#2662C2214yescomplemented
93#2661C2214yescomplemented
94#2661C2214yescomplemented
95#2649C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2644C2212yescomplemented
100#2644C2212yescomplemented
101#2643C2214yescomplemented
102#2636C2214yescomplemented
103#2635C2214yescomplemented
104#2631C2214yescomplemented
105#2622C2214yescomplemented
106#2620C2212yescomplemented
107#2619C2212yescomplemented
108#2617C2214yescomplemented
109#2597C2214yescomplemented
110#2592C2211yescharacteristic, complemented
111#2592C2211yescharacteristic, complemented
112#2592C2211yescharacteristic, complemented
113#2592C2211yescharacteristic, complemented
114#2591C2212yescomplemented
115#2591C2212yescomplemented
116#2582C2211yescharacteristic, complemented
117#2582C2211yescharacteristic, complemented
118#2581C2211yescharacteristic, complemented
119#2581C2211yescharacteristic, complemented
120#2580C2211yescharacteristic, complemented
121#2580C2211yescharacteristic, complemented
122#2579C2212yescomplemented
123#2579C2212yescomplemented
124#2576C2214yescomplemented
125#2568C2211yescharacteristic, complemented
126#2568C2211yescharacteristic, complemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2555C2214yescomplemented
130#2554C2214yescomplemented
131#2548C2212yescomplemented
132#2548C2212yescomplemented
133#2548C2212yescomplemented
134#2548C2212yescomplemented
135#2548C2212yescomplemented
136#2548C2212yescomplemented
137#2548C2212yescomplemented
138#2548C2212yescomplemented
139#2548C2212yescomplemented
140#2548C2211yescharacteristic, complemented
141#2548C2211yescharacteristic, complemented
142#2545C2212yescomplemented
143#2544C2212yescomplemented
144#2544C2212yescomplemented
145#2544C2212yescomplemented
146#2541C2212yescomplemented
147#2541C2212yescomplemented
148#2541C2212yescomplemented
149#2538C2211yescharacteristic, complemented
150#2538C2211yescharacteristic, complemented
151#2514C2212yescomplemented
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2513C2212yescomplemented
155#2512C2212yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2511C2212yescomplemented
159#2504C2212yescomplemented
160#2504C2212yescomplemented
161#2501C2212yescomplemented
162#2500C2212yescomplemented
163#2500C2212yescomplemented
164#2497C2212yescomplemented
165#2496C2212yescomplemented
166#2495C2212yescomplemented
167#2494C2212yescomplemented
168#2487C2212yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2472C2214yescomplemented
172#2459C2214yescomplemented
173#2456C2214yescomplemented
174#2448C2212yescomplemented
175#2448C2212yescomplemented
176#2447C2212yescomplemented
177#2447C2212yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2436C2212yescomplemented
183#2435C2212yescomplemented
184#2433C2212yes—
185#2433C2212yes—
186#2433C2212yes—
187#2433C2212yes—
188#2433C2212yescomplemented
189#2432C2212yescomplemented
190#2431C2212yes—
191#2431C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2431C2212yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2422C2212yescomplemented
210#2422C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2212yescomplemented
213#2418C2214yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2412C2214yescomplemented
221#2412C2214yescomplemented
222#2410C2214yes—
223#2410C2214yes—
224#2410C2214yescomplemented
225#2410C2214yescomplemented
226#2409C2212yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2403C2214yes—
232#2403C2214yes—
233#2398C2212yescomplemented
234#2398C2212yescomplemented
235#2396C2212yescomplemented
236#2396C2212yescomplemented
237C2×#394C2212yescomplemented
238C2×#394C2212yescomplemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2360C2212yescomplemented
250#2360C2212yescomplemented
251#2358C2214yescomplemented
252#2358C2214yescomplemented
253#2341C2212yescomplemented
254#2341C2212yescomplemented
255D4×C22⋊C4C2214yes—
256D4×C22⋊C4C2214yes—
257D4×C22⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259#2337C2214yescomplemented
260#2333C2214yescomplemented
261#2328C2212yescomplemented
262#2326C2212yescomplemented
263#2325C2214yescomplemented
264#2321C2214yescomplemented
265#2317C2211yescharacteristic, complemented
266#2317C2211yescharacteristic, complemented
267#2316C2211yescharacteristic, complemented
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2212yescomplemented
271#2309C2211yescharacteristic
272#2309C2211yescharacteristic
273#2309C2212yescomplemented
274C4×#127C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2214yescomplemented
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2212yescomplemented
286#2297C2211yescharacteristic, complemented
287#2297C2211yescharacteristic, complemented
288#2296C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#390C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#390C2212yescomplemented
293C2×#390C2212yescomplemented
294C2×#390C2211yescharacteristic, complemented
295C2×#390C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C2×H(5,𝔽2)—28no—
300C2×H(5,𝔽2)—44no—
301C2×H(5,𝔽2)—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2314yes—
312C23×D4C2312yes—
313C23×D4C2312yes—
314C23×D4C2312yes—
315#538—416no—
316#537—28no—
317#535—28no—
318#535—44no—
319#535—44no—
320#535—44no—
321#532—44no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127—44no—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2311yescharacteristic
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#126C2314yes—
336C2×#124—48no—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388#520—44no—
389#520—44no—
390#518—44no—
391C4×#41—44no—
392C2×C4×Q8—44no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2314yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2314yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2312yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2312yes—
452C22×C42C2312yes—
453#401C2314yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2314yes—
459#400C2312yes—
460#400C2312yes—
461#400C2314yes—
462#400C2314yes—
463#399C2312yes—
464#399C2314yes—
465#399C2312yes—
466#399C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2312yes—
498#396C2312yes—
499#396C2314yes—
500#396C2314yes—
501#395C2312yes—
502#395C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#393C2312yes—
540#393C2312yes—
541#393C2312yes—
542#393C2312yes—
543#393C2312yes—
544#393C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2312yes—
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2312yes—
582#391C2312yes—
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2314yes—
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#384C2312yes—
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#383C2314yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2311yescharacteristic
769#382C2311yescharacteristic
770#381C2314yes—
771#381C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
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—
824#376C2312yes—
825C2×#95C2312yes—
826C43C2312yes—
827C25C2412yes—
828C25C2412yes—
829C25C2414yes—
830H(5,𝔽2)—464no—
831C2×#41—28no—
832C2×#41—24no—
833C2×#41—28no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41#4118yes—
846C22×Q8—24no—
847C22×Q8—42no—
848C22×Q8—42no—
849C22×Q8C2411yescharacteristic
850C22×Q8C2411yescharacteristic
851C22×Q8C2411yescharacteristic
852C22×Q8C2411yescharacteristic
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×D4—216no—
857C22×D4—28no—
858C22×D4—24no—
859C22×D4—28no—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—24no—
863C22×D4—24no—
864C22×D4—24no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4—44no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—48no—
874C22×D4—48no—
875C22×D4—82no—
876C22×D4—82no—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2411yescharacteristic
923C4⋊Q8—42no—
924#127—28no—
925#127—44no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—42no—
930#127—44no—
931#127—44no—
932#127—44no—
933#126—48no—
934#126—48no—
935#126—84no—
936#124—28no—
937#124—216no—
938#124—28no—
939#124—48no—
940#124—42no—
941#124—42no—
942#124—44no—
943#124—44no—
944#124—44no—
945#124—48no—
946#124—48no—
947#124—44no—
948#123—48no—
949#123—48no—
950#123—84no—
951#123—84no—
952C22⋊Q8—28no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—44no—
956#121—28no—
957#121—216no—
958#121—28no—
959#121—28no—
960#121—28no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—84no—
974#121—84no—
975#121—84no—
976#121—84no—
977#120—216no—
978#120—48no—
979#120—48no—
980#120—48no—
981#120—48no—
982#120—48no—
983#120—48no—
984#120—84no—
985#120—84no—
986#120—84no—
987C4×Q8—42no—
988C4×Q8—42no—
989C4×Q8—42no—
990C4×Q8—42no—
991C4×Q8—42no—
992C4×Q8—42no—
993C4×Q8—42no—
994C4×Q8—42no—
995C4×Q8—42no—
996C4×Q8—42no—
997C4×Q8—44no—
998C4×Q8—44no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—48no—
1014C4×D4—48no—
1015C4×D4—84no—
1016#117—24no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—24no—
1021#117—44no—
1022#117—44no—
1023#117—44no—
1024C2×C4⋊C4—24no—
1025C2×C4⋊C4—24no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4—42no—
1029C2×C4⋊C4—42no—
1030C2×C4⋊C4—42no—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4—44no—
1084C2×C22⋊C4—44no—
1085C2×C22⋊C4—44no—
1086C2×C22⋊C4—48no—
1087C2×C22⋊C4—48no—
1088C2×C22⋊C4—84no—
1089C2×C22⋊C4—82no—
1090C2×C22⋊C4—82no—
1091C2×C22⋊C4—82no—
1092C2×C22⋊C4—82no—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42—24no—
1173C2×C42—44no—
1174C2×C42—44no—
1175C2×C42C2411yescharacteristic
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2414yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2414yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
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#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254C24—24no—
1255C24—28no—
1256C24—24no—
1257C24—24no—
1258C24—24no—
1259C24—24no—
1260C24—24no—
1261C24—44no—
1262C24—44no—
1263C24—42no—
1264C24—42no—
1265C24—42no—
1266C24—42no—
1267C24—42no—
1268C24—42no—
1269C24—42no—
1270C24—42no—
1271C24—44no—
1272C24—44no—
1273C24—44no—
1274C24—44no—
1275C24C2512yes—
1276C24C2514yes—
1277C24C2514yes—
1278C24C2512yes—
1279C24C2512yes—
1280C24C2511yescharacteristic
1281#41—232no—
1282#41—432no—
1283#41—432no—
1284#41—416no—
1285#41—416no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—41no—
1300C2×Q8—41no—
1301C2×Q8—41no—
1302C2×Q8—41no—
1303C2×Q8—41no—
1304C2×Q8—41no—
1305C2×Q8—416no—
1306C2×Q8C2×#4114yes—
1307C2×Q8H(5,𝔽2)14yescomplemented
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—22no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—28no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—432no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
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—464no—
1389C2×D4—432no—
1390C2×D4—416no—
1391C2×D4—416no—
1392C2×D4—816no—
1393C2×D4—816no—
1394C2×D4C2×#4118yes—
1395C2×D4C2×#4114yes—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4C2×#4118yes—
1450C22×C4C2×#4114yes—
1451C22×C4H(5,𝔽2)14yes—
1452C22×C4H(5,𝔽2)14yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2514yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2512yes—
1472C22×C4C2514yes—
1473C22×C4C2511yescharacteristic
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—41no—
1512C4⋊C4—41no—
1513C4⋊C4—41no—
1514C4⋊C4—41no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—28no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C42—24no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—22no—
1623C42—24no—
1624C42—28no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—24no—
1629C42—42no—
1630C42—42no—
1631C42—44no—
1632C42—44no—
1633C42—44no—
1634C42—42no—
1635C42—42no—
1636C42—42no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—24no—
1649C23—22no—
1650C23—24no—
1651C23—24no—
1652C23—22no—
1653C23—24no—
1654C23—22no—
1655C23—24no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—24no—
1661C23—22no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—24no—
1666C23—24no—
1667C23—24no—
1668C23—22no—
1669C23—24no—
1670C23—22no—
1671C23—22no—
1672C23—24no—
1673C23—24no—
1674C23—22no—
1675C23—416no—
1676C23—48no—
1677C23—48no—
1678C23—84no—
1679C23—84no—
1680C23—84no—
1681C23—84no—
1682C23—84no—
1683C23—84no—
1684C23—84no—
1685C23—84no—
1686C23—84no—
1687C23—84no—
1688C23—84no—
1689C23—84no—
1690C23—88no—
1691C23—88no—
1692C23—164no—
1693C23—164no—
1694C23—164no—
1695C23—164no—
1696C23C22×#4114yes—
1697C23C22×#4112yes—
1698C23C2×H(5,𝔽2)12yes—
1699C23C2×H(5,𝔽2)12yes—
1700C23C2611yescharacteristic
1701Q8—28no—
1702Q8—44no—
1703Q8—44no—
1704Q8—44no—
1705Q8—44no—
1706Q8—44no—
1707Q8—44no—
1708D4—216no—
1709D4—28no—
1710D4—416no—
1711D4—416no—
1712D4—48no—
1713D4—48no—
1714D4—48no—
1715D4—48no—
1716D4—48no—
1717D4—44no—
1718D4—48no—
1719D4—44no—
1720D4—84no—
1721D4—88no—
1722D4—88no—
1723D4—88no—
1724D4—88no—
1725D4—88no—
1726D4—84no—
1727D4—88no—
1728D4—88no—
1729D4—164no—
1730D4—164no—
1731D4—164no—
1732D4—164no—
1733D4—164no—
1734D4—164no—
1735C2×C4—28no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—216no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—44no—
1814C2×C4—44no—
1815C2×C4—416no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—84no—
1820C2×C4—84no—
1821C2×C4—82no—
1822C2×C4—82no—
1823C2×C4—84no—
1824C2×C4—84no—
1825C2×C4—164no—
1826C2×C4—164no—
1827C2×C4—164no—
1828C2×C4—164no—
1829C2×C4#538116yescomplemented
1830C2×C4C22×#4114yes—
1831C2×C4C22×#4112yes—
1832C2×C4C22×#4112yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×H(5,𝔽2)12yes—
1836C2×C4C2×H(5,𝔽2)12yes—
1837C2×C4C2×H(5,𝔽2)12yes—
1838C2×C4C2×H(5,𝔽2)12yes—
1839C2×C4C2×H(5,𝔽2)12yes—
1840C2×C4#58512yes—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—24no—
1848C22—24no—
1849C22—24no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—44no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—44no—
1863C22—44no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—44no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—44no—
1874C22—44no—
1875C22—42no—
1876C22—42no—
1877C22—44no—
1878C22—44no—
1879C22—42no—
1880C22—42no—
1881C22—44no—
1882C22—168no—
1883C22—168no—
1884C22—1616no—
1885C22C2×#53814yes—
1886C22C23×#4111yescharacteristic
1887C22C22×H(5,𝔽2)11yescharacteristic
1888C22C22×H(5,𝔽2)11yescharacteristic
1889C22C22×H(5,𝔽2)11yescharacteristic
1890C22C2×#58511yescharacteristic
1891C22H(7,𝔽2)11yescharacteristic
1892C22H(7,𝔽2)11yescharacteristic
1893C4—22no—
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—24no—
1898C4—44no—
1899C4—42no—
1900C4—42no—
1901C4—41no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—42no—
1911C4—44no—
1912C4—42no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—42no—
1920C4C2×#53814yes—
1921C4C2×#53814yes—
1922C2—24no—
1923C2—44no—
1924C2—82no—
1925C2—84no—
1926C2—84no—
1927C2—82no—
1928C2C22×#53811yescharacteristic
1929C2#6281811yescharacteristic
1930C2#6287411yescharacteristic
1931C2#6291611yescharacteristic
1932C2#6296111yescharacteristic
1933C2#6298611yescharacteristic
1934C2#6301011yescharacteristic
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. #42977C2semidirect
2. #42976C2semidirect
3. #42893C2semidirect
4. #42838C2semidirect
5. #42581C2semidirect
6. #42566C2semidirect
7. #42520C2semidirect
8. #42518C2semidirect
9. #40783C2semidirect
10. #40725C2semidirect
11. #40164C2semidirect
12. #40129C2semidirect
13. #40033C2semidirect
14. #40030C2semidirect
15. #39396C2semidirect
16. #39383C2semidirect
17. #39218C2semidirect
18. #39198C2semidirect
19. #38564C2semidirect
20. #37716C2semidirect
21. #35541C2semidirect
22. #35533C2semidirect
23. #35531C2semidirect
24. #35528C2semidirect
25. #35527C2semidirect
26. #35513C2semidirect
27. #35266C2semidirect
28. #35256C2semidirect
29. #35160C2semidirect
30. #34955C2semidirect
31. #34952C2semidirect
32. C2×#2548C2semidirect
33. #34275C2semidirect
34. #34274C2semidirect
35. #34258C2semidirect
37. C2×#538C22semidirect
42. C2×#535C22semidirect
45. C22×#124C22semidirect
47. C2×#520C22semidirect
48. C2×#518C22semidirect
50. C22×C4×Q8C22semidirect
51. #2860C22semidirect
52. #2860C22semidirect
53. #2856C22semidirect
54. #2852C22semidirect
55. #2850C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
58. #2826C22semidirect
59. #2825C22semidirect
60. #2803C22semidirect
61. #2803C22semidirect
62. #2797C22semidirect
63. #2781C22semidirect
64. #2780C22semidirect
65. #2778C22semidirect
66. #2778C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2750C22semidirect
70. #2749C22semidirect
71. #2733C22semidirect
72. #2730C22semidirect
73. #2715C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2710C22semidirect
78. #2708C22semidirect
79. #2703C22semidirect
80. #2697C22semidirect
81. #2688C22semidirect
82. #2686C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
85. #2684C22semidirect
86. #2682C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2676C22semidirect
90. #2670C22semidirect
91. #2668C22semidirect
92. #2662C22semidirect
93. #2661C22semidirect
94. #2661C22semidirect
95. #2649C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
99. #2644C22semidirect
100. #2644C22semidirect
101. #2643C22semidirect
102. #2636C22semidirect
103. #2635C22semidirect
104. #2631C22semidirect
105. #2622C22semidirect
106. #2620C22semidirect
107. #2619C22semidirect
108. #2617C22semidirect
109. #2597C22semidirect
110. #2592C22semidirect
111. #2592C22semidirect
112. #2592C22semidirect
113. #2592C22semidirect
114. #2591C22semidirect
115. #2591C22semidirect
116. #2582C22semidirect
117. #2582C22semidirect
118. #2581C22semidirect
119. #2581C22semidirect
120. #2580C22semidirect
121. #2580C22semidirect
122. #2579C22semidirect
123. #2579C22semidirect
124. #2576C22semidirect
125. #2568C22semidirect
126. #2568C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2555C22semidirect
130. #2554C22semidirect
131. #2548C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2548C22semidirect
135. #2548C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
139. #2548C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2545C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2514C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2513C22semidirect
155. #2512C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2511C22semidirect
159. #2504C22semidirect
160. #2504C22semidirect
161. #2501C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2497C22semidirect
165. #2496C22semidirect
166. #2495C22semidirect
167. #2494C22semidirect
168. #2487C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2472C22semidirect
172. #2459C22semidirect
173. #2456C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2436C22semidirect
183. #2435C22semidirect
188. #2433C22semidirect
189. #2432C22semidirect
194. #2431C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2418C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2412C22semidirect
221. #2412C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2409C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
233. #2398C22semidirect
234. #2398C22semidirect
235. #2396C22semidirect
236. #2396C22semidirect
237. C2×#394C22semidirect
238. C2×#394C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2360C22semidirect
250. #2360C22semidirect
251. #2358C22semidirect
252. #2358C22semidirect
253. #2341C22semidirect
254. #2341C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. #2337C22semidirect
260. #2333C22semidirect
261. #2328C22semidirect
262. #2326C22semidirect
263. #2325C22semidirect
264. #2321C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
267. #2316C22semidirect
270. #2311C22semidirect
273. #2309C22semidirect
274. C4×#127C22semidirect
275. C4×#124C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#121C22semidirect
285. #2297C22semidirect
286. #2297C22semidirect
287. #2297C22semidirect
288. #2296C22semidirect
289. #2296C22semidirect
292. C2×#390C22semidirect
293. C2×#390C22semidirect
294. C2×#390C22semidirect
295. C2×#390C22semidirect
296. #2285C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1307. C2×Q8H(5,𝔽2)semidirect
1829. C2×C4#538semidirect

Maximal subgroups

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

subgroupindex
#429772
#429762
#428932
#428382
#425812
#425662
#425202
#425182
#407832
#407252
#401642
#401292
#400332
#400302
#393962
#393832
#392182
#391982
#385642
#377162
#355412
#355332
#355312
#355282
#355272
#355132
#352662
#352562
#351602
#349552
#349522
C2×#25482
#342752
#342742
#342582