Finite Group Databasebeta

← #7690019

Subgroups — #7690019

Order 512.

7557 conjugacy classes of subgroups.

The subgroup lattice has 1957 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59818C212yesmaximal, complemented
4#59817C211yesmaximal, characteristic, complemented
5#59164C214yesmaximal, complemented
6#59130C212yesmaximal, complemented
7#59094C212yesmaximal, complemented
8#59080C211yesmaximal, characteristic, complemented
9#59042C211yesmaximal, characteristic, complemented
10#59038C212yesmaximal, complemented
11#44987C212yesmaximal, complemented
12#44892C212yesmaximal, complemented
13#44593C214yesmaximal, complemented
14#44581C214yesmaximal, complemented
15#39950C212yesmaximal, complemented
16#39883C212yesmaximal, complemented
17#39362C211yesmaximal, characteristic, complemented
18#38908C211yesmaximal, characteristic, complemented
19#37805C214yesmaximal, complemented
20#37795C212yesmaximal, complemented
21#36538C211yesmaximal, characteristic, complemented
22#36505C211yesmaximal, characteristic, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36434C212yesmaximal, complemented
25#36258C211yesmaximal, characteristic, complemented
26#36231C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36111C212yesmaximal, complemented
29#36075C212yesmaximal, complemented
30#36028C212yesmaximal, complemented
31#34724C211yesmaximal, characteristic, complemented
32#34708C212yesmaximal, complemented
33#34322C211yesmaximal, characteristic, complemented
34#34269C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3482—216no—
38C2×#559C2211yescharacteristic
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#556C2212yescomplemented
42C2×#555C2212yes—
43C2×#552C2212yescomplemented
44C2×#552C2214yescomplemented
45C2×#551C2214yes—
46C2×#550C2211yescharacteristic
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic, complemented
49C2×D4×Q8C2212yescomplemented
50C2×#548C2212yes—
51C2×#548C2212yes—
52C2×#548C2212yescomplemented
53C2×#547C2211yescharacteristic
54C2×#547C2212yescomplemented
55C2×#546C2212yes—
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×D42C2211yescharacteristic
59C2×#542C2212yes—
60C2×#538C2214yes—
61C2×#535C2212yes—
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2212yescomplemented
64C2×#532C2211yescharacteristic
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2214yescomplemented
69C22×#124C2212yes—
70C2×#518C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic, complemented
74C2×C4×#41C2212yescomplemented
75C22×C4×Q8C2212yescomplemented
76#2861C2212yescomplemented
77#2858C2211yescharacteristic
78#2857C2211yescharacteristic, complemented
79#2856C2211yescharacteristic
80#2854C2212yes—
81#2851C2212yescomplemented
82#2850C2212yescomplemented
83#2850C2214yescomplemented
84#2725C2214yescomplemented
85#2720C2214yescomplemented
86#2711C2214yescomplemented
87#2707C2214yescomplemented
88#2705C2214yescomplemented
89#2696C2214yescomplemented
90#2695C2214yescomplemented
91#2693C2214yescomplemented
92#2693C2214yescomplemented
93#2690C2214yescomplemented
94#2683C2214yescomplemented
95#2682C2214yescomplemented
96#2680C2214yescomplemented
97#2678C2214yes—
98#2678C2214yes—
99#2678C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2674C2214yescomplemented
103#2673C2214yescomplemented
104#2669C2214yescomplemented
105#2662C2214yescomplemented
106#2636C2214yescomplemented
107#2625C2212yescomplemented
108#2620C2212yes—
109#2610C2214yescomplemented
110#2609C2214yescomplemented
111#2603C2214yescomplemented
112#2601C2214yescomplemented
113#2568C2211yescharacteristic, complemented
114#2566C2212yescomplemented
115#2562C2212yescomplemented
116#2559C2214yescomplemented
117#2558C2214yescomplemented
118#2558C2214yescomplemented
119#2557C2214yescomplemented
120#2555C2214yescomplemented
121#2551C2212yescomplemented
122#2548C2211yescharacteristic
123#2547C2211yescharacteristic
124#2545C2214yescomplemented
125#2545C2212yescomplemented
126#2545C2212yescomplemented
127#2545C2212yescomplemented
128#2541C2211yescharacteristic
129#2540C2212yescomplemented
130#2540C2212yescomplemented
131#2538C2211yescharacteristic
132#2538C2211yescharacteristic, complemented
133#2538C2212yescomplemented
134#2536C2214yescomplemented
135#2536C2212yescomplemented
136#2536C2212yescomplemented
137#2535C2212yes—
138#2535C2212yescomplemented
139#2521C2214yescomplemented
140#2492C2212yescomplemented
141#2491C2214yescomplemented
142#2491C2212yescomplemented
143#2490C2212yescomplemented
144#2481C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2478C2212yescomplemented
148#2477C2214yescomplemented
149#2475C2214yescomplemented
150#2474C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2471C2214yescomplemented
155#2470C2214yescomplemented
156#2470C2212yescomplemented
157#2469C2214yescomplemented
158#2466C2212yescomplemented
159#2464C2214yescomplemented
160#2464C2214yescomplemented
161#2463C2214yescomplemented
162#2461C2214yescomplemented
163#2460C2214yescomplemented
164#2459C2214yescomplemented
165#2458C2214yescomplemented
166#2456C2214yescomplemented
167#2456C2214yescomplemented
168#2455C2212yescomplemented
169#2454C2212yescomplemented
170#2453C2211yescharacteristic, complemented
171#2452C2212yes—
172#2452C2214yescomplemented
173#2452C2212yescomplemented
174#2452C2212yescomplemented
175#2451C2212yescomplemented
176#2448C2212yescomplemented
177#2448C2212yescomplemented
178#2447C2211yescharacteristic
179#2446C2212yescomplemented
180#2443C2214yescomplemented
181#2442C2212yescomplemented
182#2441C2211yescharacteristic, complemented
183#2437C2214yescomplemented
184#2436C2212yescomplemented
185#2435C2212yes—
186#2432C2212yes—
187#2432C2211yescharacteristic
188#2431C2212yes—
189#2431C2212yescomplemented
190#2429C2214yescomplemented
191#2429C2211yescharacteristic, complemented
192#2428C2212yescomplemented
193#2427C2212yes—
194#2427C2212yes—
195#2427C2212yescomplemented
196#2426C2212yes—
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2214yescomplemented
201#2424C2214yes—
202#2424C2214yescomplemented
203#2422C2211yescharacteristic
204#2421C2212yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2417C2214yescomplemented
208#2417C2212yescomplemented
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2214yescomplemented
213#2415C2211yescharacteristic, complemented
214#2414C2212yes—
215#2414C2212yescomplemented
216#2411C2214yes—
217#2411C2214yescomplemented
218#2409C2212yescomplemented
219#2409C2212yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2407C2211yescharacteristic
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2398C2214yescomplemented
229#2396C2214yescomplemented
230#2395C2212yescomplemented
231#2392C2212yescomplemented
232#2373C2214yescomplemented
233#2367C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2212yes—
240#2366C2211yescharacteristic
241#2366C2212yescomplemented
242#2366C2212yescomplemented
243#2366C2212yescomplemented
244#2365C2211yescharacteristic, complemented
245#2363C2211yescharacteristic
246#2363C2212yescomplemented
247#2363C2212yescomplemented
248#2363C2212yescomplemented
249#2363C2211yescharacteristic, complemented
250#2363C2212yescomplemented
251#2362C2212yescomplemented
252#2360C2212yescomplemented
253#2358C2214yescomplemented
254#2358C2214yescomplemented
255#2358C2214yescomplemented
256#2358C2214yescomplemented
257#2355C2211yescharacteristic, complemented
258#2354C2212yescomplemented
259#2354C2211yescharacteristic, complemented
260#2351C2212yescomplemented
261Q8×C4⋊C4C2211yescharacteristic, complemented
262D4×C4⋊C4C2211yescharacteristic
263#2346C2212yescomplemented
264#2342C2214yescomplemented
265#2341C2211yescharacteristic
266#2341C2212yescomplemented
267#2341C2211yescharacteristic, complemented
268Q8×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yes—
270#2334C2214yescomplemented
271#2324C2214yescomplemented
272#2324C2214yescomplemented
273#2323C2212yescomplemented
274#2311C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×#127C2212yescomplemented
279C4×#124C2212yes—
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#123C2212yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2214yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2214yescomplemented
292#2296C2212yescomplemented
293#2295C2212yescomplemented
294#2293C2211yescharacteristic
295C2×#390C2212yes—
296#2290C2214yescomplemented
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×Q8C2312yes—
308C23×D4C2312yes—
309C23×D4C2312yes—
310#559—28no—
311#557—28no—
312#556—216no—
313#556D4116yescomplemented
314#555—216no—
315#552—232no—
316#552—216no—
317#551—232no—
318#550—28no—
319D4×Q8—28no—
320D4×Q8—28no—
321D4×Q8—48no—
322#548—216no—
323#548—216no—
324#548—48no—
325#547—216no—
326#547—28no—
327#546—216no—
328#546—216no—
329#546—48no—
330D42—28no—
331#542—216no—
332#538—232no—
333#535—216no—
334#533—28no—
335#533—216no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348#529—232no—
349#529—216no—
350#529—216no—
351#529—28no—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2314yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#124—216no—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2311yescharacteristic
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432#518—216no—
433C4×#41—28no—
434C4×#41—28no—
435C4×#41—28no—
436C4×#41—216no—
437C2×C4×Q8—216no—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2314yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2314yes—
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2314yes—
506C22×C4⋊C4C2312yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C42C2312yes—
513C22×C42C2314yes—
514C22×C42C2312yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518#400C2314yes—
519#400C2314yes—
520#400C2314yes—
521#400C2312yes—
522#400C2314yes—
523#399C2312yes—
524#399C2314yes—
525#399C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2312yes—
530#398C2312yes—
531#398C2314yes—
532#397C2312yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2314yes—
606#391C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#390C2314yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2311yescharacteristic
647#390C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2312yes—
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2314yes—
766#385C2312yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#384C2311yescharacteristic
771#384C2312yes—
772#384C2311yescharacteristic
773#384C2311yescharacteristic
774#382C2312yes—
775#382C2314yes—
776#382C2312yes—
777#381C2312yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#379C2314yes—
797#379C2314yes—
798#379C2314yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2314yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847#376C2314yes—
848C43C2311yescharacteristic
849C43C2312yes—
850C25C2414yes—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—42no—
864C2×#41—44no—
865C2×#41—44no—
866C22×Q8—28no—
867C22×Q8—28no—
868C22×Q8—28no—
869C22×Q8—44no—
870C22×Q8—44no—
871C22×Q8—44no—
872C22×Q8C2412yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2414yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2414yes—
879C22×D4—28no—
880C22×D4—28no—
881C22×D4—28no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2411yescharacteristic
927C23×C4C2414yes—
928C4⋊Q8—28no—
929C4⋊Q8—24no—
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—48no—
934C4⋊Q8C2×D418yes—
935#127—28no—
936#127—28no—
937#127—24no—
938#127#4118yescomplemented
939#126—216no—
940#126—28no—
941#126—216no—
942#126—216no—
943#126C2×D4132yes—
944#125—24no—
945#125—216no—
946#125—28no—
947#125—216no—
948#125—28no—
949#124—28no—
950#124—28no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—216no—
955#124—216no—
956#124—216no—
957#124—28no—
958#124—216no—
959#124—28no—
960#124—44no—
961#124—48no—
962#124C2×D4116yes—
963#123—216no—
964#123—216no—
965#123—216no—
966#123—28no—
967#123—216no—
968#123—216no—
969#123—216no—
970#123—44no—
971#123—48no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—216no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—216no—
984C22⋊Q8—48no—
985C22⋊Q8—48no—
986C22⋊Q8—48no—
987C22⋊Q8—44no—
988C22⋊Q8—42no—
989C22⋊Q8—44no—
990C22⋊Q8C2×D4116yes—
991#121—24no—
992#121—28no—
993#121—216no—
994#121—216no—
995#121—24no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—216no—
1004#121—216no—
1005#121—216no—
1006#121—44no—
1007#121—48no—
1008#121—48no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#120—216no—
1014#120—216no—
1015#120—216no—
1016#120—216no—
1017#120—48no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—24no—
1022C4×Q8—216no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—216no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—42no—
1031C4×Q8—44no—
1032C4×Q8—44no—
1033C4×Q8C2×D4116yes—
1034C4×Q8C2×D418yes—
1035C4×D4—24no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—216no—
1050C4×D4—216no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—216no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—44no—
1060C4×D4—44no—
1061C4×D4—42no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4—44no—
1066C4×D4—48no—
1067C4×D4—42no—
1068C4×D4—48no—
1069C4×D4—48no—
1070C4×D4C2×D418yes—
1071#117—28no—
1072#117—28no—
1073#117—24no—
1074#117—28no—
1075#117—24no—
1076#117—24no—
1077#117—28no—
1078#117—28no—
1079#117—216no—
1080#117—216no—
1081#117—216no—
1082#117—28no—
1083#117C2×D4116yes—
1084C2×C4⋊C4—216no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4—44no—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—216no—
1149C2×C22⋊C4—216no—
1150C2×C22⋊C4—48no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C42—28no—
1225C2×C42—28no—
1226C2×C42—216no—
1227C2×C42—24no—
1228C2×C42—28no—
1229C2×C42—24no—
1230C2×C42C2412yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2411yescharacteristic
1251C2×C42C2411yescharacteristic
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2414yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2411yescharacteristic
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2411yescharacteristic
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310C24—28no—
1311C24—28no—
1312C24—44no—
1313C24—44no—
1314C24—44no—
1315C24—44no—
1316C24—44no—
1317C24C2514yes—
1318C24C2511yescharacteristic
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2512yes—
1322C24C2512yes—
1323#41—432no—
1324#41—416no—
1325#41—416no—
1326#41—416no—
1327#41—816no—
1328C2×Q8—22no—
1329C2×Q8—28no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—28no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—28no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—22no—
1343C2×Q8—44no—
1344C2×Q8—44no—
1345C2×Q8—44no—
1346C2×Q8—432no—
1347C2×Q8—816no—
1348C2×Q8C22×D414yes—
1349C2×Q8C22×D418yes—
1350C2×Q8H(5,𝔽2)14yes—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—28no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—432no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—41no—
1386C2×D4—42no—
1387C2×D4—41no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—816no—
1414C2×D4C22×D414yes—
1415C2×D4C2×#4114yes—
1416C2×D4C2×#4114yes—
1417C2×D4C2×#4118yes—
1418C2×D4C2×#4118yes—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—28no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—28no—
1458C22×C4—28no—
1459C22×C4—28no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—41no—
1473C22×C4—44no—
1474C22×C4—42no—
1475C22×C4—41no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4C22×D418yes—
1482C22×C4C2512yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2514yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2512yes—
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—28no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—28no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—28no—
1543C4⋊C4—24no—
1544C4⋊C4—22no—
1545C4⋊C4—24no—
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—44no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—41no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4C22×D414yes—
1566C4⋊C4C22×D4116yes—
1567C4⋊C4C22×D414yes—
1568C4⋊C4C22×D418yes—
1569C4⋊C4C22×D418yes—
1570C4⋊C4C22×D418yes—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—22no—
1600C22⋊C4—22no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—28no—
1605C22⋊C4—28no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—22no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—41no—
1619C22⋊C4—41no—
1620C22⋊C4—42no—
1621C22⋊C4—41no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4C22×D4116yes—
1641C22⋊C4C22×D4116yes—
1642C22⋊C4C22×D418yes—
1643C42—24no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—24no—
1648C42—22no—
1649C42—24no—
1650C42—22no—
1651C42—22no—
1652C42—24no—
1653C42—28no—
1654C42—24no—
1655C42—24no—
1656C42—28no—
1657C42—24no—
1658C42—24no—
1659C42—24no—
1660C42—24no—
1661C42—24no—
1662C42—22no—
1663C42—22no—
1664C42—22no—
1665C42—41no—
1666C42—42no—
1667C42—42no—
1668C42—41no—
1669C42—44no—
1670C42—44no—
1671C42—44no—
1672C42—42no—
1673C42C22×D418yes—
1674C42C22×D414yes—
1675C42C22×D4116yes—
1676C42C2×#4114yes—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—24no—
1697C23—21no—
1698C23—24no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—24no—
1703C23—21no—
1704C23—21no—
1705C23—24no—
1706C23—21no—
1707C23—21no—
1708C23—24no—
1709C23—21no—
1710C23—21no—
1711C23—24no—
1712C23—21no—
1713C23—21no—
1714C23—24no—
1715C23—21no—
1716C23—416no—
1717C23—88no—
1718C23—88no—
1719C23—88no—
1720C23—88no—
1721C23—164no—
1722C23—164no—
1723C23C23×D414yes—
1724C23C22×#4114yes—
1725C23C22×#4114yes—
1726C23C2611yescharacteristic
1727Q8—28no—
1728Q8—28no—
1729Q8—216no—
1730Q8—416no—
1731Q8—48no—
1732Q8—44no—
1733Q8—88no—
1734D4—28no—
1735D4—28no—
1736D4—28no—
1737D4—48no—
1738D4—48no—
1739D4—416no—
1740D4—48no—
1741D4—48no—
1742D4—48no—
1743D4—44no—
1744D4—416no—
1745D4—48no—
1746D4—48no—
1747D4—84no—
1748D4—88no—
1749D4—84no—
1750D4—88no—
1751D4—84no—
1752D4—84no—
1753D4—88no—
1754D4—88no—
1755D4—164no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—216no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—48no—
1830C2×C4—44no—
1831C2×C4—416no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—416no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—84no—
1844C2×C4—88no—
1845C2×C4—82no—
1846C2×C4—88no—
1847C2×C4—88no—
1848C2×C4—164no—
1849C2×C4C23×D414yes—
1850C2×C4C23×D414yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D414yes—
1853C2×C4C23×D418yes—
1854C2×C4C23×D412yes—
1855C2×C4C23×D412yes—
1856C2×C4C22×#4112yes—
1857C2×C4C22×#4112yes—
1858C2×C4C22×#4112yes—
1859C2×C4C2×H(5,𝔽2)14yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4#58512yes—
1862C2×C4#58512yes—
1863C2×C4#58512yes—
1864C22—24no—
1865C22—24no—
1866C22—24no—
1867C22—24no—
1868C22—24no—
1869C22—24no—
1870C22—24no—
1871C22—24no—
1872C22—24no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—41no—
1887C22—44no—
1888C22—41no—
1889C22—41no—
1890C22—44no—
1891C22—41no—
1892C22—44no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—44no—
1897C22—41no—
1898C22—41no—
1899C22—44no—
1900C22—41no—
1901C22—41no—
1902C22—44no—
1903C22—41no—
1904C22—41no—
1905C22—44no—
1906C22—1616no—
1907C22C24×D411yescharacteristic
1908C22C23×#4111yescharacteristic
1909C22C22×H(5,𝔽2)11yescharacteristic
1910C22C2×#58511yescharacteristic
1911C22C2×#58511yescharacteristic
1912C22C2×#58511yescharacteristic
1913C222−1+611yescharacteristic
1914C4—22no—
1915C4—22no—
1916C4—24no—
1917C4—22no—
1918C4—22no—
1919C4—24no—
1920C4—28no—
1921C4—24no—
1922C4—24no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—41no—
1927C4—42no—
1928C4—41no—
1929C4—42no—
1930C4—44no—
1931C4—42no—
1932C4—41no—
1933C4—41no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—41no—
1938C4—41no—
1939C4—44no—
1940C4—41no—
1941C4D4×#4114yes—
1942C4#348814yes—
1943C2—44no—
1944C2—44no—
1945C2—44no—
1946C2—81no—
1947C2—81no—
1948C2—84no—
1949C2C2×D4×#4111yescharacteristic
1950C2#6278111yescharacteristic
1951C2C2×#348811yescharacteristic
1952C2#6296811yescharacteristic
1953C2#6298411yescharacteristic
1954C2#6300211yescharacteristic
1955C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3514C2semidirect
2. C2×#3482C2semidirect
3. #59818C2semidirect
4. #59817C2semidirect
5. #59164C2semidirect
6. #59130C2semidirect
7. #59094C2semidirect
8. #59080C2semidirect
9. #59042C2semidirect
10. #59038C2semidirect
11. #44987C2semidirect
12. #44892C2semidirect
13. #44593C2semidirect
14. #44581C2semidirect
15. #39950C2semidirect
16. #39883C2semidirect
17. #39362C2semidirect
18. #38908C2semidirect
19. #37805C2semidirect
20. #37795C2semidirect
21. #36538C2semidirect
22. #36505C2semidirect
23. #36493C2semidirect
24. #36434C2semidirect
25. #36258C2semidirect
26. #36231C2semidirect
27. #36150C2semidirect
28. #36111C2semidirect
29. #36075C2semidirect
30. #36028C2semidirect
31. #34724C2semidirect
32. #34708C2semidirect
33. #34322C2semidirect
34. #34269C2semidirect
35. C4×#550C2semidirect
39. C2×#557C22semidirect
41. C2×#556C22semidirect
43. C2×#552C22semidirect
44. C2×#552C22semidirect
48. C2×D4×Q8C22semidirect
49. C2×D4×Q8C22semidirect
52. C2×#548C22semidirect
54. C2×#547C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
68. C2×#529C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×Q8C22semidirect
76. #2861C22semidirect
78. #2857C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
83. #2850C22semidirect
84. #2725C22semidirect
85. #2720C22semidirect
86. #2711C22semidirect
87. #2707C22semidirect
88. #2705C22semidirect
89. #2696C22semidirect
90. #2695C22semidirect
91. #2693C22semidirect
92. #2693C22semidirect
93. #2690C22semidirect
94. #2683C22semidirect
95. #2682C22semidirect
96. #2680C22semidirect
99. #2678C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2674C22semidirect
103. #2673C22semidirect
104. #2669C22semidirect
105. #2662C22semidirect
106. #2636C22semidirect
107. #2625C22semidirect
109. #2610C22semidirect
110. #2609C22semidirect
111. #2603C22semidirect
112. #2601C22semidirect
113. #2568C22semidirect
114. #2566C22semidirect
115. #2562C22semidirect
116. #2559C22semidirect
117. #2558C22semidirect
118. #2558C22semidirect
119. #2557C22semidirect
120. #2555C22semidirect
121. #2551C22semidirect
124. #2545C22semidirect
125. #2545C22semidirect
126. #2545C22semidirect
127. #2545C22semidirect
129. #2540C22semidirect
130. #2540C22semidirect
132. #2538C22semidirect
133. #2538C22semidirect
134. #2536C22semidirect
135. #2536C22semidirect
136. #2536C22semidirect
138. #2535C22semidirect
139. #2521C22semidirect
140. #2492C22semidirect
141. #2491C22semidirect
142. #2491C22semidirect
143. #2490C22semidirect
144. #2481C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2478C22semidirect
148. #2477C22semidirect
149. #2475C22semidirect
150. #2474C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2471C22semidirect
155. #2470C22semidirect
156. #2470C22semidirect
157. #2469C22semidirect
158. #2466C22semidirect
159. #2464C22semidirect
160. #2464C22semidirect
161. #2463C22semidirect
162. #2461C22semidirect
163. #2460C22semidirect
164. #2459C22semidirect
165. #2458C22semidirect
166. #2456C22semidirect
167. #2456C22semidirect
168. #2455C22semidirect
169. #2454C22semidirect
170. #2453C22semidirect
172. #2452C22semidirect
173. #2452C22semidirect
174. #2452C22semidirect
175. #2451C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
179. #2446C22semidirect
180. #2443C22semidirect
181. #2442C22semidirect
182. #2441C22semidirect
183. #2437C22semidirect
184. #2436C22semidirect
189. #2431C22semidirect
190. #2429C22semidirect
191. #2429C22semidirect
192. #2428C22semidirect
195. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
202. #2424C22semidirect
204. #2421C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
215. #2414C22semidirect
217. #2411C22semidirect
218. #2409C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2398C22semidirect
229. #2396C22semidirect
230. #2395C22semidirect
231. #2392C22semidirect
232. #2373C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
241. #2366C22semidirect
242. #2366C22semidirect
243. #2366C22semidirect
244. #2365C22semidirect
246. #2363C22semidirect
247. #2363C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2363C22semidirect
251. #2362C22semidirect
252. #2360C22semidirect
253. #2358C22semidirect
254. #2358C22semidirect
255. #2358C22semidirect
256. #2358C22semidirect
257. #2355C22semidirect
258. #2354C22semidirect
259. #2354C22semidirect
260. #2351C22semidirect
261. Q8×C4⋊C4C22semidirect
263. #2346C22semidirect
264. #2342C22semidirect
266. #2341C22semidirect
267. #2341C22semidirect
268. Q8×C22⋊C4C22semidirect
270. #2334C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2311C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2296C22semidirect
293. #2295C22semidirect
296. #2290C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
313. #556D4semidirect
938. #127#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34822
#598182
#598172
#591642
#591302
#590942
#590802
#590422
#590382
#449872
#448922
#445932
#445812
#399502
#398832
#393622
#389082
#378052
#377952
#365382
#365052
#364932
#364342
#362582
#362312
#361502
#361112
#360752
#360282
#347242
#347082
#343222
#342692
C4×#5502