Finite Group Databasebeta

← #7680474

Subgroups — #7680474

Order 512.

6931 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic
3#59833C212yesmaximal, complemented
4#59656C212yesmaximal, complemented
5#59428C212yesmaximal, complemented
6#59416C212yesmaximal, complemented
7#59119C212yesmaximal, complemented
8#59116C212yesmaximal, complemented
9#59103C212yesmaximal, complemented
10#59098C212yesmaximal, complemented
11#44775C214yesmaximal, complemented
12#44772C214yesmaximal, complemented
13#43538C214yesmaximal, complemented
14#43536C214yesmaximal, complemented
15#39724C211yesmaximal, characteristic, complemented
16#39599C211yesmaximal, characteristic, complemented
17#38923C211yesmaximal, characteristic, complemented
18#38915C212yesmaximal, complemented
19#38911C211yesmaximal, characteristic, complemented
20#38911C212yesmaximal, complemented
21#37847C212yesmaximal, complemented
22#37651C212yesmaximal, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36445C211yesmaximal, characteristic, complemented
25#36161C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35663C212yesmaximal, complemented
28#35635C212yesmaximal, complemented
29#35310C212yesmaximal, complemented
30#35297C211yesmaximal, characteristic, complemented
31#34979C211yesmaximal, characteristic, complemented
32#34952C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34203C212yesmaximal, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36#3523—216no—
37C2×#557C2212yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40#3475—216no—
41C2×#556C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#555C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#552C2211yescharacteristic
48C2×#552C2212yes—
49C2×#552C2211yescharacteristic
50C2×#552C2212yescomplemented
51C2×#552C2214yescomplemented
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#541C2212yescomplemented
60C2×#541C2214yescomplemented
61C2×#536C2211yescharacteristic
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic, complemented
64C2×#533C2212yescomplemented
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#525C2212yes—
71C22×C22⋊Q8C2212yes—
72C2×#519C2212yescomplemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic, complemented
77C22×C4×D4C2211yescharacteristic
78C22×#117C2212yes—
79#2857C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic, complemented
82#2857C2211yescharacteristic, complemented
83#2857C2212yescomplemented
84#2851C2212yescomplemented
85#2848C2212yes—
86#2848C2212yes—
87#2726C2214yescomplemented
88#2722C2214yescomplemented
89#2720C2214yescomplemented
90#2719C2214yescomplemented
91#2719C2214yescomplemented
92#2717C2214yescomplemented
93#2708C2214yes—
94#2704C2214yes—
95#2701C2214yescomplemented
96#2697C2214yes—
97#2695C2214yescomplemented
98#2690C2214yes—
99#2689C2214yescomplemented
100#2689C2214yescomplemented
101#2689C2214yescomplemented
102#2689C2214yescomplemented
103#2687C2214yes—
104#2687C2214yescomplemented
105#2687C2214yescomplemented
106#2685C2214yes—
107#2681C2214yescomplemented
108#2680C2214yes—
109#2677C2214yescomplemented
110#2674C2214yes—
111#2629C2212yes—
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2625C2212yescomplemented
115#2621C2212yes—
116#2616C2212yes—
117#2611C2214yescomplemented
118#2584C2212yescomplemented
119#2584C2212yescomplemented
120#2582C2211yescharacteristic, complemented
121#2582C2212yescomplemented
122#2582C2211yescharacteristic, complemented
123#2581C2212yescomplemented
124#2581C2212yescomplemented
125#2581C2212yescomplemented
126#2580C2212yes—
127#2579C2214yescomplemented
128#2568C2212yescomplemented
129#2568C2211yescharacteristic, complemented
130#2562C2212yes—
131#2562C2212yescomplemented
132#2559C2214yes—
133#2558C2214yes—
134#2558C2214yescomplemented
135#2556C2214yescomplemented
136#2556C2214yescomplemented
137#2553C2214yes—
138#2553C2214yes—
139#2550C2214yescomplemented
140#2550C2212yescomplemented
141#2550C2212yescomplemented
142#2547C2212yes—
143#2547C2211yescharacteristic
144#2546C2211yescharacteristic, complemented
145#2546C2212yescomplemented
146#2542C2211yescharacteristic
147#2542C2212yescomplemented
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2212yescomplemented
151#2536C2212yes—
152#2536C2212yescomplemented
153#2521C2214yescomplemented
154#2519C2214yescomplemented
155#2506C2214yescomplemented
156#2499C2212yescomplemented
157#2496C2214yescomplemented
158#2496C2214yescomplemented
159#2492C2212yescomplemented
160#2492C2214yescomplemented
161#2489C2212yes—
162#2487C2212yescomplemented
163#2485C2212yes—
164#2485C2212yes—
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2480C2214yes—
168#2480C2214yes—
169#2480C2214yes—
170#2478C2214yescomplemented
171#2478C2214yescomplemented
172#2478C2214yescomplemented
173#2478C2214yescomplemented
174#2476C2214yes—
175#2476C2214yescomplemented
176#2475C2214yes—
177#2475C2214yes—
178#2475C2214yescomplemented
179#2474C2214yescomplemented
180#2473C2214yescomplemented
181#2473C2214yescomplemented
182#2472C2214yes—
183#2470C2214yes—
184#2470C2214yes—
185#2470C2214yescomplemented
186#2469C2214yescomplemented
187#2466C2214yes—
188#2465C2214yescomplemented
189#2462C2214yescomplemented
190#2460C2214yescomplemented
191#2458C2214yescomplemented
192#2454C2212yes—
193#2454C2214yescomplemented
194#2453C2212yescomplemented
195#2452C2212yes—
196#2451C2212yescomplemented
197#2449C2214yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2214yescomplemented
201#2446C2212yescomplemented
202#2446C2212yescomplemented
203#2443C2214yescomplemented
204#2441C2212yescomplemented
205#2441C2214yescomplemented
206#2440C2212yes—
207#2440C2214yescomplemented
208#2437C2214yes—
209#2435C2212yes—
210#2432C2212yes—
211#2432C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yescomplemented
215#2427C2212yes—
216#2421C2212yes—
217#2420C2214yes—
218#2420C2212yes—
219#2418C2214yes—
220#2417C2212yes—
221#2417C2212yescomplemented
222#2415C2212yes—
223#2415C2212yes—
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2415C2212yescomplemented
227#2415C2212yescomplemented
228#2409C2212yes—
229#2409C2212yescomplemented
230#2409C2212yescomplemented
231#2396C2214yescomplemented
232#2395C2214yescomplemented
233#2373C2214yescomplemented
234#2367C2212yes—
235#2367C2212yes—
236#2363C2212yes—
237#2362C2214yes—
238#2362C2214yes—
239#2362C2212yescomplemented
240#2362C2212yescomplemented
241#2360C2212yes—
242#2360C2214yescomplemented
243#2360C2214yescomplemented
244#2355C2211yescharacteristic, complemented
245#2354C2211yescharacteristic
246#2354C2212yescomplemented
247#2352C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252#2344C2214yescomplemented
253#2344C2214yescomplemented
254#2342C2214yes—
255#2342C2214yes—
256#2341C2212yes—
257D4×C22⋊C4C2212yes—
258#2335C2214yescomplemented
259#2327C2212yescomplemented
260#2326C2212yes—
261#2323C2212yes—
262#2323C2211yescharacteristic
263#2323C2211yescharacteristic
264#2323C2212yes—
265#2323C2212yes—
266#2323C2211yescharacteristic, complemented
267#2323C2211yescharacteristic, complemented
268#2323C2212yescomplemented
269#2322C2212yes—
270#2322C2212yescomplemented
271#2317C2211yescharacteristic, complemented
272#2316C2212yescomplemented
273#2314C2212yescomplemented
274#2311C2211yescharacteristic
275#2310C2211yescharacteristic, complemented
276#2310C2212yescomplemented
277C4×C4⋊Q8C2212yescomplemented
278C4×C4⋊Q8C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2212yescomplemented
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×C22⋊Q8C2212yescomplemented
293C4×#123C2212yes—
294C4×#123C2212yescomplemented
295#2297C2212yes—
296#2296C2212yescomplemented
297#2285C2211yescharacteristic, complemented
298#2280C2212yes—
299#2274C2212yescomplemented
300C4×#117C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C24×C4C2312yes—
308#557—216no—
309#557—28no—
310#557—28no—
311#556—28no—
312#556—216no—
313#556—28no—
314#555—28no—
315#554—28no—
316#553—216no—
317#552—216no—
318#552—28no—
319#552—232no—
320#552—28no—
321#552—216no—
322#551—216no—
323#551—216no—
324D4×Q8—28no—
325D4×Q8—216no—
326#547—28no—
327#546—28no—
328#546—28no—
329#541—232no—
330#541—216no—
331#536—28no—
332#533—216no—
333#533—28no—
334#533—28no—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345#529—216no—
346#529—216no—
347#529—28no—
348#529—216no—
349#529D4116yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#126C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2314yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#125C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380#525—216no—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×C22⋊Q8—216no—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#120C2312yes—
430C2×#120C2312yes—
431#519—216no—
432C4×#41—28no—
433C4×#41—28no—
434C4×#41—28no—
435C2×C4×Q8—28no—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2314yes—
455C2×C4×Q8C2314yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4—28no—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×#117—216no—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2311yescharacteristic
491C2×#117C2314yes—
492C2×#117C2314yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2314yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2314yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#400C2314yes—
531#400C2314yes—
532#400C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#398C2314yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#395C2314yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#395C2314yes—
581#395C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2314yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2314yes—
619#391C2312yes—
620#391C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2314yes—
627#390C2314yes—
628#390C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2314yes—
665#389C2314yes—
666#389C2314yes—
667#389C2314yes—
668#389C2314yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#387C2312yes—
711#387C2314yes—
712#387C2312yes—
713#387C2312yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#384C2312yes—
767#384C2312yes—
768#384C2312yes—
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2314yes—
772#382C2312yes—
773#382C2312yes—
774#382C2314yes—
775#382C2312yes—
776#382C2312yes—
777#381C2312yes—
778#381C2312yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2314yes—
807#380C2312yes—
808#379C2314yes—
809#379C2314yes—
810#379C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851#376C2312yes—
852C43C2312yes—
853C25C2412yes—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—42no—
863C22×Q8—28no—
864C22×Q8—24no—
865C22×Q8—24no—
866C22×Q8—28no—
867C22×Q8—44no—
868C22×Q8—42no—
869C22×Q8C2412yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×D4—24no—
880C22×D4—24no—
881C22×D4—42no—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C23×C4—28no—
893C23×C4—28no—
894C23×C4—44no—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2412yes—
906C23×C4C2412yes—
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C4⋊Q8—24no—
918C4⋊Q8—28no—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—216no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—44no—
927#126—28no—
928#126—216no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—216no—
934#126—216no—
935#126—216no—
936#126C2×D4116yes—
937#125—28no—
938#125—28no—
939#125—24no—
940#125—28no—
941#125—216no—
942#125—28no—
943#125—216no—
944#125—216no—
945#125—216no—
946#125—216no—
947#125—28no—
948#125—28no—
949#125C2×D418yes—
950#124—24no—
951#124—28no—
952#124—28no—
953#124—28no—
954#124—28no—
955#124—28no—
956#124C2×D418yes—
957#123—216no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123C2×D4116yes—
968C22⋊Q8—24no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—28no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—28no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—28no—
984C22⋊Q8—216no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—216no—
990C22⋊Q8—216no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8C2×D418yes—
997C22⋊Q8#4118yescomplemented
998#121—28no—
999#121—28no—
1000#121—24no—
1001#121—28no—
1002#121—28no—
1003#121C2×D418yes—
1004#120—28no—
1005#120—28no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—216no—
1009C4×Q8—216no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—24no—
1013C4×Q8—28no—
1014C4×Q8—24no—
1015C4×Q8—24no—
1016C4×Q8—28no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×Q8—28no—
1026C4×Q8—28no—
1027C4×Q8—44no—
1028C4×Q8C2×D418yes—
1029C4×D4—24no—
1030C4×D4—216no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—24no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—44no—
1050C4×D4C2×D418yes—
1051C4×D4C2×D4116yes—
1052#117—28no—
1053#117—24no—
1054#117—24no—
1055#117—28no—
1056#117—28no—
1057#117—28no—
1058#117—28no—
1059#117—28no—
1060#117—24no—
1061#117—24no—
1062#117—28no—
1063#117—28no—
1064#117—216no—
1065#117—216no—
1066#117—216no—
1067#117—24no—
1068#117—28no—
1069#117—24no—
1070#117—28no—
1071#117—44no—
1072#117—42no—
1073#117—44no—
1074#117C2×D4116yes—
1075C2×C4⋊C4—24no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—24no—
1080C2×C4⋊C4—28no—
1081C2×C4⋊C4—216no—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—216no—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C42—28no—
1221C2×C42—28no—
1222C2×C42—28no—
1223C2×C42—24no—
1224C2×C42—24no—
1225C2×C42C2×D418yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2414yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312C24—24no—
1313C24—24no—
1314C24—24no—
1315C24—42no—
1316C24—42no—
1317C24—42no—
1318C24—42no—
1319C24C2511yescharacteristic
1320C24C2512yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323C24C2512yes—
1324#41—416no—
1325#41—416no—
1326#41—416no—
1327C2×Q8—22no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—28no—
1332C2×Q8—24no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—28no—
1337C2×Q8—24no—
1338C2×Q8—22no—
1339C2×Q8—24no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—24no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—44no—
1351C2×Q8—42no—
1352C2×Q8—41no—
1353C2×Q8—42no—
1354C2×Q8—42no—
1355C2×Q8—432no—
1356C2×Q8—416no—
1357C2×Q8C22×D414yes—
1358C2×Q8C2×#4114yes—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—416no—
1387C2×D4C22×D414yes—
1388C2×D4C22×D418yes—
1389C2×D42−1+414yes—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—24no—
1413C22×C4—28no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—28no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—432no—
1442C22×C4—44no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—42no—
1452C22×C4C22×D414yes—
1453C22×C4C22×D414yes—
1454C22×C4C22×D418yes—
1455C22×C4C22×D414yes—
1456C22×C4C2×#4114yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2514yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2514yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2514yes—
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2514yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—28no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—28no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—28no—
1529C4⋊C4—24no—
1530C4⋊C4—28no—
1531C4⋊C4—28no—
1532C4⋊C4—28no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—24no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4C22×D418yes—
1560C4⋊C4C22×D418yes—
1561C4⋊C4C22×D414yes—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D418yes—
1564C4⋊C4C22×D418yes—
1565C4⋊C4C2×#4114yes—
1566C4⋊C4C2×#4118yes—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4—22no—
1573C22⋊C4—24no—
1574C22⋊C4—22no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—22no—
1583C22⋊C4—22no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—24no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4C22×D418yes—
1616C22⋊C4C22×D418yes—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C22×D418yes—
1619C22⋊C4C22×D418yes—
1620C22⋊C4C2×#4118yes—
1621C42—22no—
1622C42—24no—
1623C42—24no—
1624C42—22no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—22no—
1629C42—24no—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—24no—
1634C42—24no—
1635C42—24no—
1636C42—28no—
1637C42—28no—
1638C42—28no—
1639C42—28no—
1640C42—24no—
1641C42—24no—
1642C42—24no—
1643C42—42no—
1644C42—42no—
1645C42—44no—
1646C42—44no—
1647C42—44no—
1648C42—42no—
1649C42—44no—
1650C42C22×D414yes—
1651C42C22×D414yes—
1652C42C22×D418yes—
1653C42C22×D414yes—
1654C42C22×D414yes—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—21no—
1659C23—22no—
1660C23—21no—
1661C23—21no—
1662C23—22no—
1663C23—22no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—21no—
1668C23—22no—
1669C23—21no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—21no—
1678C23—22no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—48no—
1687C23—48no—
1688C23—48no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23C23×D414yes—
1694C23C23×D412yes—
1695C23C22×#4112yes—
1696C23C2×2−1+414yes—
1697C23C2611yescharacteristic
1698Q8—28no—
1699Q8—28no—
1700Q8—416no—
1701Q8—48no—
1702Q8—44no—
1703Q8—44no—
1704Q8—48no—
1705Q8—48no—
1706Q8—44no—
1707Q8—84no—
1708D4—28no—
1709D4—28no—
1710D4—48no—
1711D4—48no—
1712D4—44no—
1713D4—44no—
1714D4—48no—
1715D4—48no—
1716D4—44no—
1717D4—84no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—28no—
1739C2×C4—216no—
1740C2×C4—28no—
1741C2×C4—28no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—24no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—44no—
1797C2×C4—48no—
1798C2×C4—48no—
1799C2×C4—48no—
1800C2×C4—416no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—48no—
1804C2×C4—48no—
1805C2×C4—48no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—88no—
1810C2×C4—82no—
1811C2×C4—84no—
1812C2×C4—82no—
1813C2×C4—84no—
1814C2×C4C23×D412yes—
1815C2×C4C23×D412yes—
1816C2×C4C23×D414yes—
1817C2×C4C23×D414yes—
1818C2×C4C23×D412yes—
1819C2×C4C23×D414yes—
1820C2×C4C23×D412yes—
1821C2×C4C23×D412yes—
1822C2×C4C23×D412yes—
1823C2×C4C22×#4114yes—
1824C2×C4C22×#4114yes—
1825C2×C4C22×#4112yes—
1826C2×C4C22×#4112yes—
1827C2×C4C2×2−1+412yes—
1828C2×C4#58512yes—
1829C2×C4#58512yes—
1830C22—22no—
1831C22—24no—
1832C22—22no—
1833C22—22no—
1834C22—24no—
1835C22—24no—
1836C22—22no—
1837C22—24no—
1838C22—24no—
1839C22—24no—
1840C22—22no—
1841C22—22no—
1842C22—41no—
1843C22—42no—
1844C22—42no—
1845C22—41no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—41no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—816no—
1866C22C24×D411yescharacteristic
1867C22C23×#4111yescharacteristic
1868C22C22×2−1+411yescharacteristic
1869C22C2×#58511yescharacteristic
1870C22C2×#58511yescharacteristic
1871C222−1+611yescharacteristic
1872C222−1+611yescharacteristic
1873C4—24no—
1874C4—22no—
1875C4—24no—
1876C4—22no—
1877C4—22no—
1878C4—24no—
1879C4—22no—
1880C4—24no—
1881C4—22no—
1882C4—24no—
1883C4—42no—
1884C4—44no—
1885C4—41no—
1886C4—41no—
1887C4—42no—
1888C4—44no—
1889C4—42no—
1890C4—42no—
1891C4—41no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—44no—
1899C4—42no—
1900C4—44no—
1901C4D4×#4114yes—
1902C4#348914yes—
1903C2—42no—
1904C2—44no—
1905C2—44no—
1906C2—42no—
1907C2—81no—
1908C2C2×D4×#4111yescharacteristic
1909C2C2×#348911yescharacteristic
1910C2#6285911yescharacteristic
1911C2#6295011yescharacteristic
1912C2#6296711yescharacteristic
1913C2#6299811yescharacteristic
1914C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3475C2
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×#3523C2semidirect
3. #59833C2semidirect
4. #59656C2semidirect
5. #59428C2semidirect
6. #59416C2semidirect
7. #59119C2semidirect
8. #59116C2semidirect
9. #59103C2semidirect
10. #59098C2semidirect
11. #44775C2semidirect
12. #44772C2semidirect
13. #43538C2semidirect
14. #43536C2semidirect
15. #39724C2semidirect
16. #39599C2semidirect
17. #38923C2semidirect
18. #38915C2semidirect
19. #38911C2semidirect
20. #38911C2semidirect
21. #37847C2semidirect
22. #37651C2semidirect
23. #36505C2semidirect
24. #36445C2semidirect
25. #36161C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35663C2semidirect
28. #35635C2semidirect
29. #35310C2semidirect
30. #35297C2semidirect
31. #34979C2semidirect
32. #34952C2semidirect
33. #34242C2semidirect
34. #34203C2semidirect
35. C4×#536C2semidirect
37. C2×#557C22semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
55. C2×D4×Q8C22semidirect
59. C2×#541C22semidirect
60. C2×#541C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
72. C2×#519C22semidirect
76. C22×C4×Q8C22semidirect
81. #2857C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2851C22semidirect
87. #2726C22semidirect
88. #2722C22semidirect
89. #2720C22semidirect
90. #2719C22semidirect
91. #2719C22semidirect
92. #2717C22semidirect
95. #2701C22semidirect
97. #2695C22semidirect
99. #2689C22semidirect
100. #2689C22semidirect
101. #2689C22semidirect
102. #2689C22semidirect
104. #2687C22semidirect
105. #2687C22semidirect
107. #2681C22semidirect
109. #2677C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
114. #2625C22semidirect
117. #2611C22semidirect
118. #2584C22semidirect
119. #2584C22semidirect
120. #2582C22semidirect
121. #2582C22semidirect
122. #2582C22semidirect
123. #2581C22semidirect
124. #2581C22semidirect
125. #2581C22semidirect
127. #2579C22semidirect
128. #2568C22semidirect
129. #2568C22semidirect
131. #2562C22semidirect
134. #2558C22semidirect
135. #2556C22semidirect
136. #2556C22semidirect
139. #2550C22semidirect
140. #2550C22semidirect
141. #2550C22semidirect
144. #2546C22semidirect
145. #2546C22semidirect
147. #2542C22semidirect
150. #2538C22semidirect
152. #2536C22semidirect
153. #2521C22semidirect
154. #2519C22semidirect
155. #2506C22semidirect
156. #2499C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
162. #2487C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
170. #2478C22semidirect
171. #2478C22semidirect
172. #2478C22semidirect
173. #2478C22semidirect
175. #2476C22semidirect
178. #2475C22semidirect
179. #2474C22semidirect
180. #2473C22semidirect
181. #2473C22semidirect
185. #2470C22semidirect
186. #2469C22semidirect
188. #2465C22semidirect
189. #2462C22semidirect
190. #2460C22semidirect
191. #2458C22semidirect
193. #2454C22semidirect
194. #2453C22semidirect
196. #2451C22semidirect
200. #2447C22semidirect
201. #2446C22semidirect
202. #2446C22semidirect
203. #2443C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
207. #2440C22semidirect
214. #2429C22semidirect
221. #2417C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
226. #2415C22semidirect
227. #2415C22semidirect
229. #2409C22semidirect
230. #2409C22semidirect
231. #2396C22semidirect
232. #2395C22semidirect
233. #2373C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2355C22semidirect
246. #2354C22semidirect
247. #2352C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
252. #2344C22semidirect
253. #2344C22semidirect
258. #2335C22semidirect
259. #2327C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
270. #2322C22semidirect
271. #2317C22semidirect
272. #2316C22semidirect
273. #2314C22semidirect
275. #2310C22semidirect
276. #2310C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#125C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
294. C4×#123C22semidirect
296. #2296C22semidirect
297. #2285C22semidirect
299. #2274C22semidirect
300. C4×#117C22semidirect
997. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#34752
#598332
#596562
#594282
#594162
#591192
#591162
#591032
#590982
#447752
#447722
#435382
#435362
#397242
#395992
#389232
#389152
#389112
#378472
#376512
#365052
#364452
#361612
D4×C22⋊Q82
#356632
#356352
#353102
#352972
#349792
#349522
#342422
#342032
C4×#5362