Finite Group Databasebeta

← #7692373

Subgroups — #7692373

Order 512.

7798 conjugacy classes of subgroups.

The subgroup lattice has 2014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59654C211yesmaximal, characteristic, complemented
4#59412C212yesmaximal, complemented
5#59186C214yesmaximal, complemented
6#59131C212yesmaximal, complemented
7#59051C211yesmaximal, characteristic, complemented
8#59044C212yesmaximal, complemented
9#59036C211yesmaximal, characteristic, complemented
10#59003C212yesmaximal, complemented
11#45023C212yesmaximal, complemented
12#45016C212yesmaximal, complemented
13#44143C214yesmaximal, complemented
14#44140C214yesmaximal, complemented
15#39950C212yesmaximal, complemented
16#39883C212yesmaximal, complemented
17#38953C211yesmaximal, characteristic, complemented
18#38922C211yesmaximal, characteristic, complemented
19#37737C214yesmaximal, complemented
20#37669C212yesmaximal, complemented
21#36496C211yesmaximal, characteristic, complemented
22#36493C211yesmaximal, characteristic, complemented
23#36492C211yesmaximal, characteristic, complemented
24#36430C212yesmaximal, complemented
25#36235C212yesmaximal, complemented
26#36150C211yesmaximal, characteristic, complemented
27#36111C212yesmaximal, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29#35995C212yesmaximal, complemented
30#35830C212yesmaximal, complemented
31#34727C212yesmaximal, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34322C211yesmaximal, characteristic, complemented
34#34204C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic, complemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#555C2212yescomplemented
42C2×#554C2211yescharacteristic, complemented
43C2×#553C2212yescomplemented
44C2×#552C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#551C2214yescomplemented
47C2×#551C2214yescomplemented
48C2×#550C2211yescharacteristic
49C2×#550C2212yescomplemented
50C2×D4×Q8C2211yescharacteristic, complemented
51C2×#548C2212yescomplemented
52C2×#548C2212yescomplemented
53C2×#547C2211yescharacteristic, complemented
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×#546C2212yescomplemented
57C2×D42C2211yescharacteristic
58C2×D42C2212yes—
59C2×#542C2212yescomplemented
60C2×#538C2214yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2214yescomplemented
66C2×#529C2212yescomplemented
67C22×#124C2212yes—
68C2×#525C2212yescomplemented
69C22×#121C2212yes—
70C2×#518C2212yescomplemented
71C2×C4×#41C2211yescharacteristic, complemented
72C2×C4×#41C2212yescomplemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic
75C22×#117C2212yescomplemented
76#2861C2212yescomplemented
77#2858C2211yescharacteristic, complemented
78#2857C2211yescharacteristic, complemented
79#2856C2211yescharacteristic
80#2851C2212yescomplemented
81#2850C2212yescomplemented
82#2850C2214yescomplemented
83#2847C2212yes—
84#2725C2214yescomplemented
85#2720C2214yescomplemented
86#2715C2214yescomplemented
87#2711C2214yescomplemented
88#2707C2214yescomplemented
89#2705C2214yescomplemented
90#2696C2214yescomplemented
91#2695C2214yescomplemented
92#2692C2214yescomplemented
93#2685C2214yescomplemented
94#2682C2214yescomplemented
95#2681C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2672C2214yescomplemented
101#2672C2214yescomplemented
102#2670C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2214yescomplemented
105#2662C2214yescomplemented
106#2636C2214yescomplemented
107#2624C2212yescomplemented
108#2619C2212yescomplemented
109#2610C2214yescomplemented
110#2609C2214yescomplemented
111#2603C2214yescomplemented
112#2601C2214yescomplemented
113#2567C2211yescharacteristic, complemented
114#2566C2212yescomplemented
115#2563C2211yescharacteristic, complemented
116#2562C2212yescomplemented
117#2557C2214yescomplemented
118#2555C2214yescomplemented
119#2550C2212yescomplemented
120#2544C2214yescomplemented
121#2544C2212yescomplemented
122#2541C2211yescharacteristic
123#2541C2211yescharacteristic, complemented
124#2541C2212yescomplemented
125#2540C2212yescomplemented
126#2540C2212yescomplemented
127#2538C2211yescharacteristic, complemented
128#2538C2212yescomplemented
129#2537C2211yescharacteristic
130#2537C2212yes—
131#2536C2212yescomplemented
132#2535C2212yescomplemented
133#2535C2212yescomplemented
134#2535C2214yescomplemented
135#2521C2214yescomplemented
136#2500C2212yescomplemented
137#2491C2212yescomplemented
138#2490C2212yescomplemented
139#2485C2212yescomplemented
140#2480C2214yescomplemented
141#2480C2212yescomplemented
142#2479C2214yescomplemented
143#2477C2214yescomplemented
144#2476C2214yescomplemented
145#2474C2214yescomplemented
146#2472C2214yescomplemented
147#2471C2214yescomplemented
148#2471C2214yescomplemented
149#2468C2212yescomplemented
150#2467C2214yescomplemented
151#2465C2214yescomplemented
152#2464C2214yescomplemented
153#2463C2214yescomplemented
154#2461C2214yescomplemented
155#2461C2214yescomplemented
156#2461C2214yescomplemented
157#2459C2214yescomplemented
158#2457C2214yescomplemented
159#2457C2212yescomplemented
160#2456C2214yescomplemented
161#2456C2214yescomplemented
162#2456C2214yescomplemented
163#2454C2212yescomplemented
164#2454C2211yescharacteristic, complemented
165#2454C2212yescomplemented
166#2448C2212yescomplemented
167#2448C2212yescomplemented
168#2447C2211yescharacteristic
169#2442C2211yescharacteristic, complemented
170#2441C2212yescomplemented
171#2440C2212yescomplemented
172#2439C2212yescomplemented
173#2435C2211yescharacteristic
174#2433C2214yescomplemented
175#2433C2212yescomplemented
176#2431C2212yescomplemented
177#2431C2212yescomplemented
178#2428C2212yes—
179#2428C2212yescomplemented
180#2428C2214yescomplemented
181#2428C2212yescomplemented
182#2428C2214yescomplemented
183#2427C2212yes—
184#2427C2214yescomplemented
185#2427C2212yescomplemented
186#2427C2211yescharacteristic, complemented
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2426C2212yescomplemented
190#2426C2212yescomplemented
191#2426C2212yescomplemented
192#2424C2214yes—
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2423C2212yescomplemented
198#2422C2214yescomplemented
199#2421C2212yescomplemented
200#2420C2211yescharacteristic
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2418C2212yescomplemented
204#2418C2214yescomplemented
205#2417C2211yescharacteristic, complemented
206#2416C2212yes—
207#2416C2212yes—
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2415C2214yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2214yescomplemented
216#2410C2214yes—
217#2410C2214yescomplemented
218#2409C2212yescomplemented
219#2409C2212yescomplemented
220#2408C2212yes—
221#2408C2211yescharacteristic
222#2408C2212yes—
223#2408C2212yes—
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2397C2214yescomplemented
229#2395C2212yescomplemented
230#2392C2214yescomplemented
231#2392C2212yescomplemented
232#2373C2214yescomplemented
233#2367C2212yes—
234#2367C2212yescomplemented
235#2366C2212yescomplemented
236#2366C2211yescharacteristic, complemented
237#2366C2212yescomplemented
238#2365C2211yescharacteristic, complemented
239#2363C2211yescharacteristic
240#2363C2212yes—
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2211yescharacteristic, complemented
245#2363C2212yescomplemented
246#2361C2212yescomplemented
247#2361C2212yescomplemented
248#2361C2212yescomplemented
249#2361C2212yescomplemented
250#2361C2212yescomplemented
251#2360C2212yescomplemented
252#2358C2214yescomplemented
253#2355C2211yescharacteristic, complemented
254#2354C2212yescomplemented
255#2354C2211yescharacteristic, complemented
256#2352C2212yescomplemented
257#2351C2212yescomplemented
258Q8×C4⋊C4C2211yescharacteristic, complemented
259D4×C4⋊C4C2211yescharacteristic
260#2346C2212yescomplemented
261#2342C2214yescomplemented
262#2342C2214yescomplemented
263#2341C2211yescharacteristic, complemented
264#2341C2212yescomplemented
265#2341C2211yescharacteristic, complemented
266Q8×C22⋊C4C2212yescomplemented
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2214yescomplemented
269D4×C22⋊C4C2214yescomplemented
270#2334C2214yescomplemented
271#2324C2214yescomplemented
272#2324C2214yescomplemented
273#2323C2212yescomplemented
274#2316C2212yescomplemented
275#2309C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic, complemented
278C4×#127C2212yescomplemented
279C4×#127C2212yescomplemented
280C4×#124C2212yes—
281C4×#124C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic, complemented
285C4×#121C2214yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2214yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#120C2212yescomplemented
293#2295C2212yescomplemented
294#2293C2211yescharacteristic
295#2290C2214yescomplemented
296#2280C2212yescomplemented
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2212yescomplemented
300C42×D4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×Q8C2312yes—
306C23×D4C2312yes—
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2314yes—
310C24×C4C2312yes—
311#559—28no—
312#556D4116yescomplemented
313#555—28no—
314#555—216no—
315#554—28no—
316#553—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320#551—232no—
321#550—28no—
322#550—48no—
323D4×Q8—28no—
324#548—216no—
325#548—48no—
326#547—28no—
327#546—216no—
328#546—216no—
329#546—216no—
330D42—28no—
331D42—48no—
332#542—216no—
333#538—232no—
334#533—28no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×#127C2312yes—
340C2×#127C2311yescharacteristic
341C2×#127C2312yes—
342C2×#127C2311yescharacteristic
343C2×#127C2312yes—
344C2×#127C2314yes—
345#529—232no—
346#529—216no—
347#529—216no—
348#529—28no—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2311yescharacteristic
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#124—216no—
359C2×#124C2312yes—
360C2×#124C2314yes—
361C2×#124C2311yescharacteristic
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372#525—216no—
373C2×#123C2314yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×#121—216no—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#121C2311yescharacteristic
408C2×#121C2311yescharacteristic
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2312yes—
435C2×#120C2314yes—
436#518—216no—
437C4×#41—216no—
438C4×#41—28no—
439C4×#41—28no—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×D4—28no—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2314yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2311yescharacteristic
495C2×#117—216no—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2314yes—
500C2×#117C2314yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2314yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2312yes—
520C22×C42C2314yes—
521C22×C42C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525#400C2314yes—
526#400C2312yes—
527#399C2314yes—
528#399C2312yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2312yes—
554#396C2312yes—
555#396C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#394C2314yes—
560#394C2314yes—
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#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2312yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2312yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2312yes—
637#390C2314yes—
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2312yes—
644#390C2312yes—
645#390C2314yes—
646#390C2312yes—
647#390C2314yes—
648#390C2312yes—
649#390C2311yescharacteristic
650#390C2311yescharacteristic
651#390C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2314yes—
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2311yescharacteristic
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2312yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2312yes—
764#385C2312yes—
765#384C2312yes—
766#384C2312yes—
767#384C2311yescharacteristic
768#384C2311yescharacteristic
769#382C2312yes—
770#382C2311yescharacteristic
771#382C2314yes—
772#382C2312yes—
773#381C2312yes—
774#381C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2314yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#379C2314yes—
798#379C2314yes—
799#379C2314yes—
800#379C2312yes—
801#379C2312yes—
802#379C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847#376C2314yes—
848C43C2312yes—
849C43C2311yescharacteristic
850C25C2412yes—
851C25C2414yes—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—28no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C22×Q8—28no—
865C22×Q8—44no—
866C22×Q8—44no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×Q8C2414yes—
872C22×D4—24no—
873C22×D4—28no—
874C22×D4—24no—
875C22×D4—28no—
876C22×D4—216no—
877C22×D4—28no—
878C22×D4—44no—
879C22×D4—42no—
880C22×D4—44no—
881C22×D4—44no—
882C22×D4—48no—
883C22×D4—84no—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C23×C4—28no—
913C23×C4—28no—
914C23×C4—44no—
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2414yes—
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C4⋊Q8—28no—
939C4⋊Q8—24no—
940C4⋊Q8C2×D418yescomplemented
941#127—28no—
942#127—24no—
943#127—28no—
944#127—24no—
945#127—44no—
946#127—48no—
947#126—216no—
948#126—28no—
949#126—216no—
950#126—216no—
951#126C2×D4132yescomplemented
952#125—24no—
953#125—216no—
954#125—28no—
955#125—28no—
956#124—28no—
957#124—28no—
958#124—24no—
959#124—24no—
960#124—216no—
961#124—216no—
962#124—216no—
963#124—28no—
964#124—216no—
965#124—44no—
966#124—48no—
967#124—82no—
968#124C2×D4116yes—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—28no—
974#123—216no—
975#123—216no—
976#123—216no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—216no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—48no—
987C22⋊Q8—42no—
988C22⋊Q8—44no—
989C22⋊Q8—82no—
990C22⋊Q8C2×D4116yescomplemented
991#121—24no—
992#121—28no—
993#121—28no—
994#121—216no—
995#121—28no—
996#121—28no—
997#121—24no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—216no—
1006#121—28no—
1007#121—24no—
1008#121—216no—
1009#121—216no—
1010#121—216no—
1011#121—28no—
1012#121—48no—
1013#121—48no—
1014#121—48no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—48no—
1020#121—82no—
1021#121—84no—
1022#121#4118yescomplemented
1023#120—216no—
1024#120—216no—
1025#120—216no—
1026#120—44no—
1027#120—48no—
1028#120—48no—
1029#120—48no—
1030#120—84no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—28no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—42no—
1038C4×Q8—44no—
1039C4×Q8—44no—
1040C4×Q8C2×D418yescomplemented
1041C4×Q8C2×D4116yescomplemented
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—216no—
1068C4×D4—28no—
1069C4×D4—48no—
1070C4×D4—44no—
1071C4×D4—42no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—44no—
1075C4×D4—42no—
1076C4×D4—44no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—48no—
1080C4×D4—48no—
1081C4×D4—84no—
1082C4×D4—84no—
1083C4×D4—84no—
1084C4×D4C2×D418yes—
1085#117—28no—
1086#117—28no—
1087#117—24no—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—216no—
1092#117—28no—
1093#117—24no—
1094#117—216no—
1095#117—216no—
1096#117—216no—
1097#117—44no—
1098#117C2×D4116yescomplemented
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—28no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C22⋊C4—216no—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—216no—
1159C2×C22⋊C4—216no—
1160C2×C22⋊C4—216no—
1161C2×C22⋊C4—216no—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C42—216no—
1242C2×C42—24no—
1243C2×C42—28no—
1244C2×C42—28no—
1245C2×C42—24no—
1246C2×C42C2412yes—
1247C2×C42C2414yes—
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2414yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2412yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2414yes—
1272C2×C42C2412yes—
1273C2×C42C2411yescharacteristic
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2411yescharacteristic
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2411yescharacteristic
1292#95C2412yes—
1293#95C2411yescharacteristic
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319C24—24no—
1320C24—24no—
1321C24—24no—
1322C24—28no—
1323C24—28no—
1324C24—42no—
1325C24—42no—
1326C24—42no—
1327C24—44no—
1328C24—42no—
1329C24—44no—
1330C24—44no—
1331C24—44no—
1332C24—44no—
1333C24C2514yes—
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2512yes—
1337C24C2511yescharacteristic
1338C24C2512yes—
1339C24C2512yes—
1340#41—416no—
1341#41—416no—
1342#41—432no—
1343#41—816no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—28no—
1347C2×Q8—22no—
1348C2×Q8—24no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—24no—
1352C2×Q8—22no—
1353C2×Q8—44no—
1354C2×Q8—42no—
1355C2×Q8—42no—
1356C2×Q8—44no—
1357C2×Q8—816no—
1358C2×Q8C22×D414yes—
1359C2×Q8C22×D418yes—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—28no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—28no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—22no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—28no—
1390C2×D4—24no—
1391C2×D4—22no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—432no—
1404C2×D4—42no—
1405C2×D4—41no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—416no—
1442C2×D4—816no—
1443C2×D4—832no—
1444C2×D4C22×D414yes—
1445C2×D4C2×#4114yes—
1446C2×D4C2×#4118yes—
1447C2×D4H(5,𝔽2)14yes—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—28no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—28no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—28no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—28no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—44no—
1497C22×C4—432no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—41no—
1506C22×C4—41no—
1507C22×C4—42no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—42no—
1511C22×C4—41no—
1512C22×C4—44no—
1513C22×C4—41no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4C22×D418yes—
1517C22×C4C2×#4114yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2514yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2511yescharacteristic
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2512yes—
1540C22×C4C2514yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C4⋊C4—22no—
1547C4⋊C4—24no—
1548C4⋊C4—28no—
1549C4⋊C4—28no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—28no—
1559C4⋊C4—24no—
1560C4⋊C4—28no—
1561C4⋊C4—22no—
1562C4⋊C4—28no—
1563C4⋊C4—28no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—24no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—41no—
1578C4⋊C4—44no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—42no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—42no—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D418yes—
1595C4⋊C4C22×D418yes—
1596C4⋊C4C22×D4116yes—
1597C4⋊C4C22×D418yes—
1598C4⋊C4C2×#4114yes—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—28no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—22no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—41no—
1640C22⋊C4—41no—
1641C22⋊C4—42no—
1642C22⋊C4—41no—
1643C22⋊C4—41no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4C22×D4116yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D4116yes—
1677C22⋊C4C2×#4118yes—
1678C42—24no—
1679C42—22no—
1680C42—22no—
1681C42—24no—
1682C42—28no—
1683C42—22no—
1684C42—28no—
1685C42—22no—
1686C42—22no—
1687C42—24no—
1688C42—22no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—22no—
1693C42—24no—
1694C42—22no—
1695C42—22no—
1696C42—24no—
1697C42—22no—
1698C42—24no—
1699C42—22no—
1700C42—44no—
1701C42—44no—
1702C42—42no—
1703C42—44no—
1704C42—42no—
1705C42—41no—
1706C42C22×D418yes—
1707C42C22×D414yes—
1708C42C22×D4116yes—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—21no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—21no—
1733C23—22no—
1734C23—24no—
1735C23—21no—
1736C23—24no—
1737C23—21no—
1738C23—22no—
1739C23—22no—
1740C23—21no—
1741C23—24no—
1742C23—24no—
1743C23—21no—
1744C23—22no—
1745C23—21no—
1746C23—21no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—21no—
1752C23—24no—
1753C23—22no—
1754C23—48no—
1755C23—48no—
1756C23—48no—
1757C23—416no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23—88no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—84no—
1766C23—164no—
1767C23—164no—
1768C23C23×D414yes—
1769C23C22×#4114yes—
1770C23C22×#4112yes—
1771C23C2×H(5,𝔽2)14yes—
1772C23C2611yescharacteristic
1773Q8—28no—
1774Q8—216no—
1775Q8—44no—
1776Q8—84no—
1777Q8—88no—
1778D4—28no—
1779D4—28no—
1780D4—28no—
1781D4—48no—
1782D4—44no—
1783D4—48no—
1784D4—416no—
1785D4—416no—
1786D4—416no—
1787D4—48no—
1788D4—48no—
1789D4—48no—
1790D4—416no—
1791D4—48no—
1792D4—44no—
1793D4—48no—
1794D4—84no—
1795D4—84no—
1796D4—88no—
1797D4—84no—
1798D4—84no—
1799D4—88no—
1800D4—88no—
1801D4—84no—
1802D4—88no—
1803D4—88no—
1804D4—88no—
1805D4—164no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—28no—
1823C2×C4—216no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—24no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—24no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—24no—
1874C2×C4—21no—
1875C2×C4—24no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—48no—
1879C2×C4—48no—
1880C2×C4—48no—
1881C2×C4—48no—
1882C2×C4—416no—
1883C2×C4—48no—
1884C2×C4—48no—
1885C2×C4—44no—
1886C2×C4—44no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—44no—
1890C2×C4—84no—
1891C2×C4—84no—
1892C2×C4—88no—
1893C2×C4—88no—
1894C2×C4—82no—
1895C2×C4—82no—
1896C2×C4—88no—
1897C2×C4—88no—
1898C2×C4—88no—
1899C2×C4C23×D414yes—
1900C2×C4C23×D414yes—
1901C2×C4C23×D414yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D418yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C22×#4114yes—
1907C2×C4C22×#4112yes—
1908C2×C4C22×#4112yes—
1909C2×C4C2×H(5,𝔽2)12yes—
1910C2×C4#58512yes—
1911C2×C4#58512yes—
1912C2×C4#58512yes—
1913C22—24no—
1914C22—24no—
1915C22—22no—
1916C22—24no—
1917C22—24no—
1918C22—24no—
1919C22—24no—
1920C22—22no—
1921C22—24no—
1922C22—22no—
1923C22—24no—
1924C22—24no—
1925C22—42no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—41no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—41no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—44no—
1942C22—41no—
1943C22—42no—
1944C22—42no—
1945C22—41no—
1946C22—44no—
1947C22—41no—
1948C22—44no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—44no—
1953C22—41no—
1954C22—42no—
1955C22—44no—
1956C22—42no—
1957C22—44no—
1958C22—41no—
1959C22—42no—
1960C22—41no—
1961C22—44no—
1962C22—816no—
1963C22—1616no—
1964C22C24×D411yescharacteristic
1965C22C23×#4111yescharacteristic
1966C22C22×H(5,𝔽2)11yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22C2×#58511yescharacteristic
1969C22C2×#58511yescharacteristic
1970C22H(7,𝔽2)11yescharacteristic
1971C4—24no—
1972C4—24no—
1973C4—22no—
1974C4—28no—
1975C4—22no—
1976C4—22no—
1977C4—24no—
1978C4—24no—
1979C4—44no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—42no—
1984C4—44no—
1985C4—41no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—41no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—41no—
1994C4—42no—
1995C4—41no—
1996C4—42no—
1997C4D4×#4114yes—
1998C4#348814yes—
1999C2—44no—
2000C2—42no—
2001C2—44no—
2002C2—44no—
2003C2—81no—
2004C2—82no—
2005C2—84no—
2006C2C2×D4×#4111yescharacteristic
2007C2C2×#348811yescharacteristic
2008C2#6281611yescharacteristic
2009C2#6293811yescharacteristic
2010C2#6298311yescharacteristic
2011C2#6300311yescharacteristic
2012C2#6302411yescharacteristic
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×#3475C2semidirect
3. #59654C2semidirect
4. #59412C2semidirect
5. #59186C2semidirect
6. #59131C2semidirect
7. #59051C2semidirect
8. #59044C2semidirect
9. #59036C2semidirect
10. #59003C2semidirect
11. #45023C2semidirect
12. #45016C2semidirect
13. #44143C2semidirect
14. #44140C2semidirect
15. #39950C2semidirect
16. #39883C2semidirect
17. #38953C2semidirect
18. #38922C2semidirect
19. #37737C2semidirect
20. #37669C2semidirect
21. #36496C2semidirect
22. #36493C2semidirect
23. #36492C2semidirect
24. #36430C2semidirect
25. #36235C2semidirect
26. #36150C2semidirect
27. #36111C2semidirect
28. D4×#121C2semidirect
29. #35995C2semidirect
30. #35830C2semidirect
31. #34727C2semidirect
32. #34700C2semidirect
33. #34322C2semidirect
34. #34204C2semidirect
35. C4×#550C2semidirect
37. C2×#559C22semidirect
41. C2×#555C22semidirect
42. C2×#554C22semidirect
43. C2×#553C22semidirect
44. C2×#552C22semidirect
45. C2×#552C22semidirect
46. C2×#551C22semidirect
47. C2×#551C22semidirect
49. C2×#550C22semidirect
50. C2×D4×Q8C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
53. C2×#547C22semidirect
56. C2×#546C22semidirect
59. C2×#542C22semidirect
60. C2×#538C22semidirect
61. C2×#533C22semidirect
62. C2×#532C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
68. C2×#525C22semidirect
70. C2×#518C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
75. C22×#117C22semidirect
76. #2861C22semidirect
77. #2858C22semidirect
78. #2857C22semidirect
80. #2851C22semidirect
81. #2850C22semidirect
82. #2850C22semidirect
84. #2725C22semidirect
85. #2720C22semidirect
86. #2715C22semidirect
87. #2711C22semidirect
88. #2707C22semidirect
89. #2705C22semidirect
90. #2696C22semidirect
91. #2695C22semidirect
92. #2692C22semidirect
93. #2685C22semidirect
94. #2682C22semidirect
95. #2681C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2672C22semidirect
101. #2672C22semidirect
102. #2670C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2662C22semidirect
106. #2636C22semidirect
107. #2624C22semidirect
108. #2619C22semidirect
109. #2610C22semidirect
110. #2609C22semidirect
111. #2603C22semidirect
112. #2601C22semidirect
113. #2567C22semidirect
114. #2566C22semidirect
115. #2563C22semidirect
116. #2562C22semidirect
117. #2557C22semidirect
118. #2555C22semidirect
119. #2550C22semidirect
120. #2544C22semidirect
121. #2544C22semidirect
123. #2541C22semidirect
124. #2541C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
127. #2538C22semidirect
128. #2538C22semidirect
131. #2536C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2521C22semidirect
136. #2500C22semidirect
137. #2491C22semidirect
138. #2490C22semidirect
139. #2485C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2479C22semidirect
143. #2477C22semidirect
144. #2476C22semidirect
145. #2474C22semidirect
146. #2472C22semidirect
147. #2471C22semidirect
148. #2471C22semidirect
149. #2468C22semidirect
150. #2467C22semidirect
151. #2465C22semidirect
152. #2464C22semidirect
153. #2463C22semidirect
154. #2461C22semidirect
155. #2461C22semidirect
156. #2461C22semidirect
157. #2459C22semidirect
158. #2457C22semidirect
159. #2457C22semidirect
160. #2456C22semidirect
161. #2456C22semidirect
162. #2456C22semidirect
163. #2454C22semidirect
164. #2454C22semidirect
165. #2454C22semidirect
166. #2448C22semidirect
167. #2448C22semidirect
169. #2442C22semidirect
170. #2441C22semidirect
171. #2440C22semidirect
172. #2439C22semidirect
174. #2433C22semidirect
175. #2433C22semidirect
176. #2431C22semidirect
177. #2431C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2423C22semidirect
198. #2422C22semidirect
199. #2421C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
217. #2410C22semidirect
218. #2409C22semidirect
219. #2409C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2397C22semidirect
229. #2395C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2373C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2365C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2363C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2361C22semidirect
249. #2361C22semidirect
250. #2361C22semidirect
251. #2360C22semidirect
252. #2358C22semidirect
253. #2355C22semidirect
254. #2354C22semidirect
255. #2354C22semidirect
256. #2352C22semidirect
257. #2351C22semidirect
258. Q8×C4⋊C4C22semidirect
260. #2346C22semidirect
261. #2342C22semidirect
262. #2342C22semidirect
263. #2341C22semidirect
264. #2341C22semidirect
265. #2341C22semidirect
266. Q8×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. #2334C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2316C22semidirect
275. #2309C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#120C22semidirect
293. #2295C22semidirect
295. #2290C22semidirect
296. #2280C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
312. #556D4semidirect
940. C4⋊Q8C2×D4semidirect
951. #126C2×D4semidirect
990. C22⋊Q8C2×D4semidirect
1022. #121#41semidirect
1040. C4×Q8C2×D4semidirect
1041. C4×Q8C2×D4semidirect
1098. #117C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34752
#596542
#594122
#591862
#591312
#590512
#590442
#590362
#590032
#450232
#450162
#441432
#441402
#399502
#398832
#389532
#389222
#377372
#376692
#364962
#364932
#364922
#364302
#362352
#361502
#361112
D4×#1212
#359952
#358302
#347272
#347002
#343222
#342042
C4×#5502