Finite Group Databasebeta

← #8424369

Subgroups — #8424369

Order 512.

6474 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59224C212yesmaximal, complemented
3#59126C211yesmaximal, characteristic, complemented
4#59056C211yesmaximal, characteristic, complemented
5#59026C212yesmaximal, complemented
6#58251C214yesmaximal, complemented
7#57581C214yesmaximal, complemented
8#53106C212yesmaximal, complemented
9#53102C212yesmaximal, complemented
10#53055C212yesmaximal, complemented
11#52969C212yesmaximal, complemented
12#52310C214yesmaximal, complemented
13#42977C212yesmaximal, complemented
14#42963C212yesmaximal, complemented
15#42736C212yesmaximal, complemented
16#42578C212yesmaximal, complemented
17#40485C214yesmaximal, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39342C211yesmaximal, characteristic, complemented
20#39338C212yesmaximal, complemented
21#39336C212yesmaximal, complemented
22#39201C211yesmaximal, characteristic, complemented
23#38953C211yesmaximal, characteristic, complemented
24#38026C212yesmaximal, complemented
25#37650C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37626C211yesmaximal, characteristic, complemented
28#37614C212yesmaximal, complemented
29#37437C212yesmaximal, complemented
30#36176C211yesmaximal, characteristic, complemented
31#36160C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33C2×#2541C211yesmaximal, characteristic, complemented
34#34763C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic, complemented
37C2×#555C2212yescomplemented
38C2×#546C2212yescomplemented
39C2×D42C2212yes—
40C2×D42C2212yes—
41C2×D42C2211yescharacteristic, complemented
42C2×#535C2212yescomplemented
43C2×#534C2214yescomplemented
44C2×#532C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic, complemented
46C22×#127C2211yescharacteristic
47C22×#127C2212yescomplemented
48C2×#529C2212yescomplemented
49C2×#525C2212yescomplemented
50C22×#121C2212yescomplemented
51C22×#121C2212yescomplemented
52C22×C4×D4C2211yescharacteristic, complemented
53#2858C2211yescharacteristic, complemented
54#2857C2211yescharacteristic, complemented
55#2856C2211yescharacteristic, complemented
56#2854C2212yes—
57#2847C2212yes—
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2824C2214yescomplemented
63#2819C2214yescomplemented
64#2819C2214yescomplemented
65#2818C2214yescomplemented
66#2818C2214yescomplemented
67#2816C2214yescomplemented
68#2815C2214yescomplemented
69#2815C2214yescomplemented
70#2813C2214yescomplemented
71#2812C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2753C2214yescomplemented
75#2737C2214yescomplemented
76#2733C2214yescomplemented
77#2733C2214yescomplemented
78#2714C2214yescomplemented
79#2712C2214yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2706C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2699C2214yescomplemented
86#2686C2214yescomplemented
87#2685C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2676C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2661C2214yescomplemented
110#2661C2214yescomplemented
111#2661C2214yescomplemented
112#2657C2214yescomplemented
113#2641C2214yescomplemented
114#2635C2214yescomplemented
115#2624C2212yescomplemented
116#2624C2212yescomplemented
117#2624C2212yescomplemented
118#2619C2212yescomplemented
119#2619C2212yescomplemented
120#2619C2212yescomplemented
121#2619C2214yescomplemented
122#2619C2212yescomplemented
123#2619C2212yescomplemented
124#2619C2212yescomplemented
125#2615C2212yescomplemented
126#2615C2214yescomplemented
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2613C2214yescomplemented
130#2613C2214yescomplemented
131#2613C2214yescomplemented
132#2610C2214yescomplemented
133#2580C2212yescomplemented
134#2571C2211yescharacteristic, complemented
135#2563C2211yescharacteristic, complemented
136#2563C2211yescharacteristic, complemented
137#2563C2212yescomplemented
138#2561C2214yescomplemented
139#2555C2214yescomplemented
140#2548C2212yescomplemented
141#2548C2212yescomplemented
142#2548C2212yescomplemented
143#2544C2212yescomplemented
144#2541C2211yescharacteristic
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic, complemented
147#2541C2212yescomplemented
148#2541C2211yescharacteristic, complemented
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2541C2214yescomplemented
155#2541C2211yescharacteristic, complemented
156#2541C2212yescomplemented
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2541C2211yescharacteristic, complemented
160#2539C2214yescomplemented
161#2537C2212yescomplemented
162#2537C2212yescomplemented
163#2537C2212yescomplemented
164#2537C2211yescharacteristic, complemented
165#2535C2212yescomplemented
166#2532C2214yescomplemented
167#2531C2214yescomplemented
168#2521C2212yescomplemented
169#2519C2212yescomplemented
170#2513C2212yescomplemented
171#2513C2212yescomplemented
172#2513C2212yescomplemented
173#2512C2211yescharacteristic, complemented
174#2508C2212yescomplemented
175#2506C2211yescharacteristic, complemented
176#2501C2211yescharacteristic
177#2500C2212yescomplemented
178#2500C2212yescomplemented
179#2496C2211yescharacteristic, complemented
180#2495C2212yescomplemented
181#2491C2212yescomplemented
182#2491C2212yescomplemented
183#2491C2211yescharacteristic, complemented
184#2488C2214yescomplemented
185#2488C2212yescomplemented
186#2486C2211yescharacteristic, complemented
187#2486C2212yescomplemented
188#2485C2212yescomplemented
189#2476C2214yescomplemented
190#2472C2214yescomplemented
191#2472C2214yescomplemented
192#2472C2212yescomplemented
193#2472C2214yescomplemented
194#2464C2212yescomplemented
195#2461C2212yescomplemented
196#2459C2214yescomplemented
197#2452C2211yescharacteristic, complemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2211yescharacteristic, complemented
203#2440C2211yescharacteristic, complemented
204#2440C2211yescharacteristic, complemented
205#2435C2212yescomplemented
206#2435C2214yescomplemented
207#2433C2211yescharacteristic
208#2433C2214yescomplemented
209#2433C2212yescomplemented
210#2433C2212yescomplemented
211#2433C2212yescomplemented
212#2433C2212yescomplemented
213#2431C2212yescomplemented
214#2431C2214yescomplemented
215#2428C2212yescomplemented
216#2428C2212yescomplemented
217#2428C2212yescomplemented
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2211yescharacteristic, complemented
223#2428C2212yescomplemented
224#2425C2212yescomplemented
225#2424C2212yescomplemented
226#2422C2212yescomplemented
227#2422C2212yescomplemented
228#2422C2211yescharacteristic, complemented
229#2420C2212yescomplemented
230#2420C2212yescomplemented
231#2420C2212yescomplemented
232#2416C2211yescharacteristic
233#2416C2211yescharacteristic
234#2414C2212yescomplemented
235#2414C2214yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2412C2214yescomplemented
245#2410C2214yescomplemented
246#2410C2214yescomplemented
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2211yescharacteristic, complemented
256#2408C2212yescomplemented
257#2405C2214yescomplemented
258#2403C2214yes—
259#2403C2214yescomplemented
260#2396C2212yescomplemented
261#2395C2212yescomplemented
262#2392C2212yescomplemented
263#2388C2212yescomplemented
264C2×#392C2214yescomplemented
265#2369C2211yescharacteristic, complemented
266#2366C2211yescharacteristic, complemented
267#2363C2212yescomplemented
268#2363C2212yescomplemented
269#2363C2212yescomplemented
270#2354C2211yescharacteristic, complemented
271#2354C2211yescharacteristic, complemented
272#2354C2212yescomplemented
273#2352C2212yescomplemented
274#2352C2212yescomplemented
275#2346C2212yescomplemented
276#2342C2214yescomplemented
277D4×C22⋊C4C2212yescomplemented
278D4×C22⋊C4C2212yescomplemented
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2309C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic, complemented
285C4×#123C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296#2280C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2314yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309C23×D4C2314yes—
310C24×C4C2312yes—
311#555—48no—
312#555—44no—
313#546—48no—
314D42—44no—
315D42—48no—
316D42—48no—
317#535—48no—
318#534—416no—
319#532—44no—
320#532—44no—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2311yescharacteristic
324C2×#127—44no—
325C2×#127—48no—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2314yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2314yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2314yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2311yescharacteristic
342C2×#127C2314yes—
343#529—48no—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#125C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2314yes—
354C2×#124C2314yes—
355C2×#124C2312yes—
356C2×#124C2314yes—
357#525—48no—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×#121—48no—
372C2×#121—48no—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2311yescharacteristic
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2311yescharacteristic
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#120C2312yes—
420C2×#120C2314yes—
421C2×#120C2312yes—
422C2×#120C2312yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×C4×Q8C2312yes—
436C2×C4×D4—44no—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C22⋊C4C2314yes—
474C22×C22⋊C4C2314yes—
475C22×C22⋊C4C2314yes—
476C22×C22⋊C4C2312yes—
477C22×C42C2312yes—
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480#400C2312yes—
481#400C2314yes—
482#400C2314yes—
483#400C2312yes—
484#399C2314yes—
485#399C2314yes—
486#399C2312yes—
487#399C2312yes—
488#398C2312yes—
489#398C2314yes—
490#398C2312yes—
491#398C2312yes—
492#398C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#396C2312yes—
507#396C2312yes—
508#396C2312yes—
509#396C2312yes—
510#395C2312yes—
511#395C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
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#394C2312yes—
536#394C2312yes—
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#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2312yes—
565#393C2312yes—
566#393C2314yes—
567#392C2312yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
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#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#390C2314yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2314yes—
647#390C2314yes—
648#390C2312yes—
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2312yes—
652#390C2312yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2311yescharacteristic
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#390C2311yescharacteristic
661#390C2311yescharacteristic
662#390C2311yescharacteristic
663#390C2314yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2312yes—
677#389C2311yescharacteristic
678#389C2311yescharacteristic
679#389C2311yescharacteristic
680#389C2311yescharacteristic
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#387C2314yes—
712#387C2314yes—
713#387C2312yes—
714#387C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
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#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#383C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#382C2312yes—
758#382C2312yes—
759#381C2314yes—
760#381C2312yes—
761#381C2314yes—
762#381C2314yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2312yes—
790#379C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824#376C2314yes—
825C2×#95C2312yes—
826C43C2311yescharacteristic
827C25C2414yes—
828C25C2412yes—
829C25C2414yes—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—82no—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4—24no—
840C22×D4—28no—
841C22×D4—28no—
842C22×D4—42no—
843C22×D4—42no—
844C22×D4—44no—
845C22×D4—48no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—48no—
857C22×D4—48no—
858C22×D4—48no—
859C22×D4—48no—
860C22×D4—44no—
861C22×D4—48no—
862C22×D4—48no—
863C22×D4—48no—
864C22×D4—82no—
865C22×D4—84no—
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C23×C4—28no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C4⋊Q8—24no—
931C4⋊Q8—24no—
932C4⋊Q8—42no—
933#127—24no—
934#127—24no—
935#127—44no—
936#127—44no—
937#127—44no—
938#127—44no—
939#127—44no—
940#127—44no—
941#127—44no—
942#127—48no—
943#127—48no—
944#127—42no—
945#127—42no—
946#127—48no—
947#127—44no—
948#127—44no—
949#127—84no—
950#126—44no—
951#126—44no—
952#125—44no—
953#124—44no—
954#124—44no—
955#124—48no—
956#124—44no—
957#124—44no—
958#124—48no—
959#124—48no—
960#124—48no—
961#124—82no—
962#124—84no—
963#123—28no—
964#123—48no—
965#123—48no—
966#123—44no—
967#123—44no—
968#123—48no—
969#123—44no—
970#123—44no—
971#123—48no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976#121—24no—
977#121—24no—
978#121—28no—
979#121—28no—
980#121—24no—
981#121—44no—
982#121—44no—
983#121—48no—
984#121—48no—
985#121—44no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—48no—
990#121—48no—
991#121—48no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—48no—
999#121—48no—
1000#121—44no—
1001#121—44no—
1002#121—42no—
1003#121—44no—
1004#121—42no—
1005#121—44no—
1006#121—44no—
1007#121—42no—
1008#121—48no—
1009#121—48no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—84no—
1022#120—28no—
1023#120—48no—
1024#120—48no—
1025#120—48no—
1026#120—48no—
1027#120—48no—
1028#120—48no—
1029#120—48no—
1030#120—44no—
1031#120—44no—
1032#120—48no—
1033#120—48no—
1034#120—48no—
1035#120—48no—
1036#120—84no—
1037#120—84no—
1038C4×Q8—44no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—44no—
1049C4×D4—42no—
1050C4×D4—42no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—44no—
1057C4×D4—44no—
1058C4×D4—44no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—44no—
1064#117—28no—
1065#117—44no—
1066#117—44no—
1067#117—44no—
1068#117—48no—
1069#117—44no—
1070#117—44no—
1071#117—44no—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—24no—
1074C2×C4⋊C4—42no—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C22⋊C4—216no—
1122C2×C22⋊C4—44no—
1123C2×C22⋊C4—48no—
1124C2×C22⋊C4—48no—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C42—28no—
1211C2×C42—24no—
1212C2×C42—24no—
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2414yes—
1216C2×C42C2412yes—
1217C2×C42C2412yes—
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2412yes—
1230C2×C42C2412yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2414yes—
1235C2×C42C2411yescharacteristic
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24—24no—
1279C24—28no—
1280C24—28no—
1281C24—24no—
1282C24—24no—
1283C24—28no—
1284C24—42no—
1285C24—42no—
1286C24—42no—
1287C24—42no—
1288C24—44no—
1289C24—44no—
1290C24—44no—
1291C24—44no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24—44no—
1296C24—44no—
1297C24—44no—
1298C24—44no—
1299C24C2512yes—
1300C24C2514yes—
1301C24C2512yes—
1302C24C2512yes—
1303C24C2514yes—
1304C24C2512yes—
1305C24C2511yescharacteristic
1306C24C2511yescharacteristic
1307#41—816no—
1308#41—816no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—42no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—42no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—22no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—28no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—416no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
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—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—42no—
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—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—816no—
1449C2×D4—816no—
1450C2×D4—816no—
1451C2×D4—816no—
1452C2×D4—816no—
1453C2×D4—832no—
1454C2×D4—832no—
1455C2×D4—832no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—42no—
1493C22×C4—41no—
1494C22×C4—41no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—816no—
1509C22×C4H(5,𝔽2)14yes—
1510C22×C4H(5,𝔽2)14yes—
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2512yes—
1514C22×C4C2511yescharacteristic
1515C22×C4C2514yes—
1516C22×C4C2512yes—
1517C22×C4C2514yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—22no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—22no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—42no—
1583C4⋊C4H(5,𝔽2)14yes—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—22no—
1587C22⋊C4—24no—
1588C22⋊C4—22no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—28no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—22no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
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—42no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—44no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4H(5,𝔽2)14yes—
1669C42—24no—
1670C42—22no—
1671C42—22no—
1672C42—22no—
1673C42—22no—
1674C42—22no—
1675C42—24no—
1676C42—22no—
1677C42—24no—
1678C42—24no—
1679C42—28no—
1680C42—22no—
1681C42—22no—
1682C42—24no—
1683C42—24no—
1684C42—22no—
1685C42—22no—
1686C42—22no—
1687C42—44no—
1688C42—44no—
1689C42—41no—
1690C42—44no—
1691C42H(5,𝔽2)14yes—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—22no—
1697C23—24no—
1698C23—22no—
1699C23—21no—
1700C23—22no—
1701C23—22no—
1702C23—24no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—24no—
1719C23—22no—
1720C23—22no—
1721C23—24no—
1722C23—24no—
1723C23—24no—
1724C23—24no—
1725C23—24no—
1726C23—21no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—24no—
1732C23—22no—
1733C23—22no—
1734C23—24no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—24no—
1740C23—22no—
1741C23—22no—
1742C23—21no—
1743C23—24no—
1744C23—22no—
1745C23—48no—
1746C23—48no—
1747C23—48no—
1748C23—416no—
1749C23—84no—
1750C23—84no—
1751C23—84no—
1752C23—84no—
1753C23—88no—
1754C23—88no—
1755C23—88no—
1756C23—88no—
1757C23—88no—
1758C23—88no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—164no—
1763C23—164no—
1764C23—164no—
1765C23—164no—
1766C23C2×H(5,𝔽2)12yes—
1767C23C2×H(5,𝔽2)12yes—
1768C23C2×H(5,𝔽2)12yes—
1769C23C2611yescharacteristic
1770Q8—84no—
1771Q8—84no—
1772Q8—84no—
1773D4—48no—
1774D4—48no—
1775D4—44no—
1776D4—48no—
1777D4—48no—
1778D4—44no—
1779D4—44no—
1780D4—48no—
1781D4—44no—
1782D4—48no—
1783D4—48no—
1784D4—44no—
1785D4—48no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—88no—
1790D4—84no—
1791D4—88no—
1792D4—88no—
1793D4—88no—
1794D4—84no—
1795D4—84no—
1796D4—88no—
1797D4—88no—
1798D4—88no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—88no—
1804D4—88no—
1805D4—88no—
1806D4—88no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—88no—
1811D4—164no—
1812D4—164no—
1813D4—164no—
1814D4—164no—
1815D4—164no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—28no—
1829C2×C4—28no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—24no—
1856C2×C4—24no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—24no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—44no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—48no—
1895C2×C4—48no—
1896C2×C4—44no—
1897C2×C4—88no—
1898C2×C4—84no—
1899C2×C4—84no—
1900C2×C4—88no—
1901C2×C4—84no—
1902C2×C4—88no—
1903C2×C4C2×H(5,𝔽2)12yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4C2×H(5,𝔽2)14yes—
1906C2×C4C2×H(5,𝔽2)12yes—
1907C2×C4C2×H(5,𝔽2)12yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4C2×H(5,𝔽2)12yes—
1911C2×C4C2×H(5,𝔽2)12yes—
1912C2×C4C2×H(5,𝔽2)12yes—
1913C2×C4C2×H(5,𝔽2)12yes—
1914C2×C4#58512yes—
1915C22—22no—
1916C22—22no—
1917C22—22no—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—42no—
1922C22—42no—
1923C22—41no—
1924C22—42no—
1925C22—44no—
1926C22—42no—
1927C22—44no—
1928C22—44no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—42no—
1934C22—44no—
1935C22—44no—
1936C22—42no—
1937C22—42no—
1938C22—41no—
1939C22—42no—
1940C22—42no—
1941C22—44no—
1942C22—41no—
1943C22—44no—
1944C22—42no—
1945C22—42no—
1946C22—44no—
1947C22—41no—
1948C22—44no—
1949C22—44no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—41no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—44no—
1961C22—42no—
1962C22—44no—
1963C22—41no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—44no—
1968C22—42no—
1969C22—44no—
1970C22—816no—
1971C22—1616no—
1972C22—1616no—
1973C22#354914yes—
1974C22C22×H(5,𝔽2)11yescharacteristic
1975C22C22×H(5,𝔽2)11yescharacteristic
1976C22C22×H(5,𝔽2)11yescharacteristic
1977C22C22×H(5,𝔽2)11yescharacteristic
1978C22C22×H(5,𝔽2)11yescharacteristic
1979C22C2×#58511yescharacteristic
1980C22H(7,𝔽2)11yescharacteristic
1981C4—22no—
1982C4—22no—
1983C4—22no—
1984C4—22no—
1985C4—24no—
1986C4—22no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—41no—
1996C4—44no—
1997C4—41no—
1998C4—42no—
1999C4—44no—
2000C4—42no—
2001C4—41no—
2002C4—41no—
2003C4—42no—
2004C4—41no—
2005C4—42no—
2006C4#354214yes—
2007C4#354314yes—
2008C2—24no—
2009C2—81no—
2010C2—82no—
2011C2—82no—
2012C2—84no—
2013C2—82no—
2014C2—84no—
2015C2—82no—
2016C2C2×#354211yescharacteristic
2017C2C2×#354311yescharacteristic
2018C2C2×#354911yescharacteristic
2019C2#6291211yescharacteristic
2020C2#6291211yescharacteristic
2021C2#6295511yescharacteristic
2022C2#6301411yescharacteristic
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. #59822C2semidirect
2. #59224C2semidirect
3. #59126C2semidirect
4. #59056C2semidirect
5. #59026C2semidirect
6. #58251C2semidirect
7. #57581C2semidirect
8. #53106C2semidirect
9. #53102C2semidirect
10. #53055C2semidirect
11. #52969C2semidirect
12. #52310C2semidirect
13. #42977C2semidirect
14. #42963C2semidirect
15. #42736C2semidirect
16. #42578C2semidirect
17. #40485C2semidirect
18. #39735C2semidirect
19. #39342C2semidirect
20. #39338C2semidirect
21. #39336C2semidirect
22. #39201C2semidirect
23. #38953C2semidirect
24. #38026C2semidirect
25. #37650C2semidirect
26. #37639C2semidirect
27. #37626C2semidirect
28. #37614C2semidirect
29. #37437C2semidirect
30. #36176C2semidirect
31. #36160C2semidirect
32. #36121C2semidirect
33. C2×#2541C2semidirect
34. #34763C2semidirect
35. #34681C2semidirect
36. C2×#555C22semidirect
37. C2×#555C22semidirect
38. C2×#546C22semidirect
41. C2×D42C22semidirect
42. C2×#535C22semidirect
43. C2×#534C22semidirect
44. C2×#532C22semidirect
45. C2×#532C22semidirect
47. C22×#127C22semidirect
48. C2×#529C22semidirect
49. C2×#525C22semidirect
50. C22×#121C22semidirect
51. C22×#121C22semidirect
52. C22×C4×D4C22semidirect
53. #2858C22semidirect
54. #2857C22semidirect
55. #2856C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2824C22semidirect
63. #2819C22semidirect
64. #2819C22semidirect
65. #2818C22semidirect
66. #2818C22semidirect
67. #2816C22semidirect
68. #2815C22semidirect
69. #2815C22semidirect
70. #2813C22semidirect
71. #2812C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2753C22semidirect
75. #2737C22semidirect
76. #2733C22semidirect
77. #2733C22semidirect
78. #2714C22semidirect
79. #2712C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2706C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2699C22semidirect
86. #2686C22semidirect
87. #2685C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2676C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2661C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2657C22semidirect
113. #2641C22semidirect
114. #2635C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2619C22semidirect
119. #2619C22semidirect
120. #2619C22semidirect
121. #2619C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2613C22semidirect
130. #2613C22semidirect
131. #2613C22semidirect
132. #2610C22semidirect
133. #2580C22semidirect
134. #2571C22semidirect
135. #2563C22semidirect
136. #2563C22semidirect
137. #2563C22semidirect
138. #2561C22semidirect
139. #2555C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
142. #2548C22semidirect
143. #2544C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2539C22semidirect
161. #2537C22semidirect
162. #2537C22semidirect
163. #2537C22semidirect
164. #2537C22semidirect
165. #2535C22semidirect
166. #2532C22semidirect
167. #2531C22semidirect
168. #2521C22semidirect
169. #2519C22semidirect
170. #2513C22semidirect
171. #2513C22semidirect
172. #2513C22semidirect
173. #2512C22semidirect
174. #2508C22semidirect
175. #2506C22semidirect
177. #2500C22semidirect
178. #2500C22semidirect
179. #2496C22semidirect
180. #2495C22semidirect
181. #2491C22semidirect
182. #2491C22semidirect
183. #2491C22semidirect
184. #2488C22semidirect
185. #2488C22semidirect
186. #2486C22semidirect
187. #2486C22semidirect
188. #2485C22semidirect
189. #2476C22semidirect
190. #2472C22semidirect
191. #2472C22semidirect
192. #2472C22semidirect
193. #2472C22semidirect
194. #2464C22semidirect
195. #2461C22semidirect
196. #2459C22semidirect
197. #2452C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2435C22semidirect
206. #2435C22semidirect
208. #2433C22semidirect
209. #2433C22semidirect
210. #2433C22semidirect
211. #2433C22semidirect
212. #2433C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2425C22semidirect
225. #2424C22semidirect
226. #2422C22semidirect
227. #2422C22semidirect
228. #2422C22semidirect
229. #2420C22semidirect
230. #2420C22semidirect
231. #2420C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2412C22semidirect
245. #2410C22semidirect
246. #2410C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2405C22semidirect
259. #2403C22semidirect
260. #2396C22semidirect
261. #2395C22semidirect
262. #2392C22semidirect
263. #2388C22semidirect
264. C2×#392C22semidirect
265. #2369C22semidirect
266. #2366C22semidirect
267. #2363C22semidirect
268. #2363C22semidirect
269. #2363C22semidirect
270. #2354C22semidirect
271. #2354C22semidirect
272. #2354C22semidirect
273. #2352C22semidirect
274. #2352C22semidirect
275. #2346C22semidirect
276. #2342C22semidirect
277. D4×C22⋊C4C22semidirect
278. D4×C22⋊C4C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2309C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#123C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. C2×#390C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2280C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#592242
#591262
#590562
#590262
#582512
#575812
#531062
#531022
#530552
#529692
#523102
#429772
#429632
#427362
#425782
#404852
#397352
#393422
#393382
#393362
#392012
#389532
#380262
#376502
#376392
#376262
#376142
#374372
#361762
#361602
#361212
C2×#25412
#347632
#346812