Finite Group Databasebeta

← #7657502

Subgroups — #7657502

Order 512.

7132 conjugacy classes of subgroups.

The subgroup lattice has 2025 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42151C212yesmaximal, complemented
4#41954C212yesmaximal, complemented
5#41416C214yesmaximal, complemented
6#41381C212yesmaximal, complemented
7#41380C212yesmaximal, complemented
8#41371C212yesmaximal, complemented
9#41370C212yesmaximal, complemented
10#40596C214yesmaximal, complemented
11#40585C214yesmaximal, complemented
12#38914C212yesmaximal, complemented
13#38902C212yesmaximal, complemented
14#38050C212yesmaximal, complemented
15#38040C212yesmaximal, complemented
16#38033C212yesmaximal, complemented
17#38026C212yesmaximal, complemented
18#37619C211yesmaximal, characteristic, complemented
19#37551C211yesmaximal, characteristic, complemented
20#37445C211yesmaximal, characteristic, complemented
21#37444C211yesmaximal, characteristic, complemented
22#37439C211yesmaximal, characteristic, complemented
23#37437C211yesmaximal, characteristic, complemented
24#36361C212yesmaximal, complemented
25#36360C212yesmaximal, complemented
26#36010C212yesmaximal, complemented
27#35840C212yesmaximal, complemented
28#35764C214yesmaximal, complemented
29#35342C211yesmaximal, characteristic, complemented
30#35263C211yesmaximal, characteristic, complemented
31#35262C211yesmaximal, characteristic, complemented
32#34635C211yesmaximal, characteristic, complemented
33#34609C211yesmaximal, characteristic, complemented
34C2×#2624C211yesmaximal, characteristic, complemented
35#34185C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#555C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic, complemented
43C2×#553C2211yescharacteristic
44C2×#553C2211yescharacteristic
45C2×#553C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2211yescharacteristic, complemented
48C2×#552C2211yescharacteristic
49C2×#552C2211yescharacteristic, complemented
50C2×#552C2212yescomplemented
51C2×#551C2212yescomplemented
52C2×#551C2212yescomplemented
53C2×#550C2211yescharacteristic
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×#546C2212yes—
58C2×#546C2211yescharacteristic
59C2×#546C2212yes—
60C2×D42C2212yes—
61C2×D42C2211yescharacteristic
62C2×#540C2212yes—
63C2×#538C2212yes—
64C2×#538C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2212yescomplemented
70C2×#529C2212yescomplemented
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic
73C2×#525C2211yescharacteristic, complemented
74C2×#525C2211yescharacteristic, complemented
75C22×#121C2211yescharacteristic
76C22×#121C2211yescharacteristic
77C2×#518C2212yes—
78C2×C4×#41C2212yescomplemented
79C2×C4×#41C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic
81C22×#117C2211yescharacteristic, complemented
82C22×#117C2211yescharacteristic, complemented
83#2855C2212yescomplemented
84#2854C2212yescomplemented
85#2854C2212yescomplemented
86#2854C2212yescomplemented
87#2851C2212yescomplemented
88#2850C2212yescomplemented
89#2821C2212yescomplemented
90#2821C2212yescomplemented
91#2816C2212yescomplemented
92#2816C2214yescomplemented
93#2815C2212yescomplemented
94#2814C2212yescomplemented
95#2813C2214yescomplemented
96#2813C2212yescomplemented
97#2812C2214yescomplemented
98#2723C2214yescomplemented
99#2721C2214yescomplemented
100#2721C2214yescomplemented
101#2719C2214yescomplemented
102#2714C2214yescomplemented
103#2711C2214yescomplemented
104#2710C2214yescomplemented
105#2709C2214yescomplemented
106#2708C2214yescomplemented
107#2703C2214yescomplemented
108#2696C2214yescomplemented
109#2694C2214yescomplemented
110#2689C2214yescomplemented
111#2686C2214yescomplemented
112#2685C2214yescomplemented
113#2684C2214yescomplemented
114#2674C2214yescomplemented
115#2674C2214yescomplemented
116#2673C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2670C2214yescomplemented
121#2668C2214yescomplemented
122#2663C2212yescomplemented
123#2663C2214yescomplemented
124#2661C2214yescomplemented
125#2661C2212yescomplemented
126#2658C2212yescomplemented
127#2656C2212yescomplemented
128#2640C2212yescomplemented
129#2639C2212yescomplemented
130#2638C2212yescomplemented
131#2638C2214yescomplemented
132#2635C2212yescomplemented
133#2635C2214yescomplemented
134#2633C2212yescomplemented
135#2633C2212yescomplemented
136#2632C2212yescomplemented
137#2631C2212yescomplemented
138#2630C2214yescomplemented
139#2628C2212yescomplemented
140#2626C2212yescomplemented
141#2625C2211yescharacteristic, complemented
142#2625C2211yescharacteristic, complemented
143#2625C2211yescharacteristic, complemented
144#2625C2212yescomplemented
145#2624C2211yescharacteristic
146#2624C2211yescharacteristic
147#2624C2211yescharacteristic
148#2624C2212yescomplemented
149#2624C2212yescomplemented
150#2624C2211yescharacteristic, complemented
151#2624C2211yescharacteristic, complemented
152#2624C2214yescomplemented
153#2624C2212yescomplemented
154#2624C2212yescomplemented
155#2624C2212yescomplemented
156#2624C2211yescharacteristic, complemented
157#2624C2211yescharacteristic, complemented
158#2624C2211yescharacteristic, complemented
159#2624C2211yescharacteristic, complemented
160#2623C2212yescomplemented
161#2623C2212yescomplemented
162#2622C2214yescomplemented
163#2619C2212yescomplemented
164#2617C2212yescomplemented
165#2617C2214yescomplemented
166#2616C2211yescharacteristic, complemented
167#2615C2211yescharacteristic
168#2615C2211yescharacteristic, complemented
169#2615C2211yescharacteristic, complemented
170#2613C2214yescomplemented
171#2611C2212yescomplemented
172#2611C2212yescomplemented
173#2604C2212yescomplemented
174#2603C2212yescomplemented
175#2602C2214yescomplemented
176#2602C2214yescomplemented
177#2600C2214yescomplemented
178#2599C2212yescomplemented
179#2598C2212yescomplemented
180#2592C2212yescomplemented
181#2584C2212yescomplemented
182#2581C2212yescomplemented
183#2580C2212yescomplemented
184#2580C2212yescomplemented
185#2580C2212yescomplemented
186#2564C2212yescomplemented
187#2561C2212yescomplemented
188#2559C2214yescomplemented
189#2559C2214yescomplemented
190#2555C2214yescomplemented
191#2553C2214yescomplemented
192#2548C2212yescomplemented
193#2546C2212yescomplemented
194#2543C2212yescomplemented
195#2539C2212yescomplemented
196#2539C2214yescomplemented
197#2521C2214yescomplemented
198#2504C2212yescomplemented
199#2501C2212yescomplemented
200#2500C2214yescomplemented
201#2498C2212yescomplemented
202#2498C2212yescomplemented
203#2491C2214yescomplemented
204#2488C2214yescomplemented
205#2487C2212yescomplemented
206#2487C2212yescomplemented
207#2486C2212yescomplemented
208#2486C2212yescomplemented
209#2485C2212yescomplemented
210#2485C2212yescomplemented
211#2485C2214yescomplemented
212#2482C2212yescomplemented
213#2482C2212yescomplemented
214#2480C2214yescomplemented
215#2479C2214yescomplemented
216#2479C2214yescomplemented
217#2476C2214yescomplemented
218#2475C2214yescomplemented
219#2472C2214yescomplemented
220#2471C2214yescomplemented
221#2470C2214yescomplemented
222#2469C2214yescomplemented
223#2467C2214yescomplemented
224#2466C2214yescomplemented
225#2464C2214yescomplemented
226#2460C2214yescomplemented
227#2458C2214yescomplemented
228#2456C2214yescomplemented
229#2455C2214yescomplemented
230#2455C2214yescomplemented
231#2443C2214yes—
232#2443C2214yescomplemented
233#2440C2214yescomplemented
234#2432C2214yescomplemented
235#2430C2214yescomplemented
236#2422C2214yescomplemented
237#2419C2214yes—
238#2418C2214yescomplemented
239#2418C2214yescomplemented
240#2417C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2415C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2412C2214yescomplemented
249#2410C2214yes—
250#2410C2214yescomplemented
251#2408C2212yescomplemented
252#2408C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2405C2214yes—
256#2405C2214yescomplemented
257#2404C2214yescomplemented
258#2398C2212yescomplemented
259#2397C2212yescomplemented
260#2395C2212yescomplemented
261#2395C2212yescomplemented
262#2395C2214yescomplemented
263C2×#399C2212yescomplemented
264C2×#397C2212yescomplemented
265#2388C2214yescomplemented
266C2×#394C2214yescomplemented
267#2361C2214yescomplemented
268#2359C2214yescomplemented
269#2358C2214yescomplemented
270#2353C2212yes—
271#2353C2212yescomplemented
272#2353C2212yescomplemented
273#2353C2212yescomplemented
274#2352C2212yes—
275#2352C2212yescomplemented
276#2352C2212yescomplemented
277#2352C2212yescomplemented
278#2342C2214yescomplemented
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2317C2212yescomplemented
282#2316C2212yescomplemented
283#2313C2212yescomplemented
284#2312C2212yescomplemented
285#2311C2212yescomplemented
286#2309C2212yescomplemented
287#2308C2212yes—
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290#2297C2212yescomplemented
291#2296C2212yescomplemented
292C2×#390C2212yescomplemented
293C2×#389C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2280C2211yescharacteristic, complemented
297#2280C2211yescharacteristic, complemented
298C2×#380C2211yescharacteristic, complemented
299C2×#380C2211yescharacteristic, complemented
300#2273C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C24×C4C2311yescharacteristic
313C24×C4C2311yescharacteristic
314#556—28no—
315#555—28no—
316#555—28no—
317#554—28no—
318#554—28no—
319#553—28no—
320#553—28no—
321#553—28no—
322#553—28no—
323#553—216no—
324#552—28no—
325#552—28no—
326#552—216no—
327#551—216no—
328#551—216no—
329#550—28no—
330#547—28no—
331#546—216no—
332#546—28no—
333#546—28no—
334#546—216no—
335#546—216no—
336D42—216no—
337D42—28no—
338#540—216no—
339#538—216no—
340#538—216no—
341#533—28no—
342#532—28no—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2314yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349#529—216no—
350#529—216no—
351#529—216no—
352#529—28no—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377#525—28no—
378#525—28no—
379#525—28no—
380#525—28no—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×#121—28no—
416C2×#121—28no—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×#120C2312yes—
457C2×#120C2312yes—
458C2×#120C2312yes—
459C2×#120C2312yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462#518—216no—
463C4×#41—216no—
464C4×#41—28no—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×D4D4116yescomplemented
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×#117—28no—
507C2×#117—28no—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2311yescharacteristic
522C2×#117C2311yescharacteristic
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2311yescharacteristic
527C2×#117C2312yes—
528C2×#117C2312yes—
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2311yescharacteristic
532C22×C4⋊C4C2311yescharacteristic
533C22×C4⋊C4C2311yescharacteristic
534C22×C4⋊C4C2311yescharacteristic
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2314yes—
538C22×C4⋊C4C2311yescharacteristic
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2312yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2314yes—
548C22×C22⋊C4C2314yes—
549C22×C22⋊C4C2311yescharacteristic
550C22×C22⋊C4C2311yescharacteristic
551C22×C42C2312yes—
552C22×C42C2312yes—
553C22×C42C2312yes—
554C22×C42C2311yescharacteristic
555#400C2312yes—
556#400C2314yes—
557#400C2312yes—
558#400C2312yes—
559#400C2314yes—
560#400C2314yes—
561#400C2314yes—
562#399C2312yes—
563#399C2314yes—
564#399C2314yes—
565#399C2312yes—
566#399C2312yes—
567#399C2314yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2314yes—
573#399C2312yes—
574#399C2314yes—
575#399C2314yes—
576#399C2312yes—
577#399C2314yes—
578#399C2314yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2314yes—
587#398C2314yes—
588#397C2312yes—
589#397C2312yes—
590#397C2314yes—
591#397C2312yes—
592#397C2312yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2312yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#397C2312yes—
601#397C2314yes—
602#397C2312yes—
603#397C2314yes—
604#397C2314yes—
605#397C2312yes—
606#397C2312yes—
607#397C2314yes—
608#397C2314yes—
609#397C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#395C2312yes—
615#395C2314yes—
616#395C2314yes—
617#395C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2312yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#393C2312yes—
653#393C2312yes—
654#393C2314yes—
655#393C2314yes—
656#393C2314yes—
657#393C2314yes—
658#393C2312yes—
659#393C2314yes—
660#392C2312yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2312yes—
667#392C2312yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2314yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2312yes—
686#390C2314yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2314yes—
691#390C2314yes—
692#390C2314yes—
693#390C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2314yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2312yes—
715#389C2314yes—
716#389C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2314yes—
796#383C2312yes—
797#383C2312yes—
798#382C2314yes—
799#382C2312yes—
800#382C2312yes—
801#381C2312yes—
802#381C2312yes—
803#381C2314yes—
804#381C2312yes—
805#381C2314yes—
806#381C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2314yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2311yescharacteristic
823#380C2311yescharacteristic
824#380C2311yescharacteristic
825#380C2312yes—
826#380C2312yes—
827#380C2311yescharacteristic
828#379C2314yes—
829#379C2312yes—
830#379C2312yes—
831#379C2314yes—
832#379C2314yes—
833#379C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2314yes—
852#376C2312yes—
853#376C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2411yescharacteristic
859C25C2412yes—
860C25C2411yescharacteristic
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—84no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4—28no—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—24no—
881C22×D4—24no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—42no—
885C22×D4—42no—
886C22×D4—44no—
887C22×D4—44no—
888C22×D4—84no—
889C22×D4—84no—
890C22×D4C2×D418yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2411yescharacteristic
921C22×D4C2411yescharacteristic
922C23×C4—44no—
923C23×C4—44no—
924C23×C4C2×D418yes—
925C23×C4C2×D418yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2414yes—
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2411yescharacteristic
954C23×C4C2411yescharacteristic
955C4⋊Q8—24no—
956C4⋊Q8—24no—
957C4⋊Q8—24no—
958C4⋊Q8—84no—
959#127—28no—
960#127—24no—
961#126—28no—
962#126—28no—
963#126—28no—
964#126—28no—
965#126—28no—
966#126—28no—
967#126—28no—
968#126—28no—
969#126—28no—
970#125—28no—
971#125—28no—
972#125—28no—
973#125—28no—
974#125—24no—
975#125—24no—
976#125—24no—
977#124—28no—
978#124—28no—
979#124—28no—
980#124—28no—
981#124—28no—
982#124—24no—
983#124—28no—
984#124—84no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—48no—
1001#123—84no—
1002#123—84no—
1003#123—84no—
1004C22⋊Q8—24no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—24no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—44no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—24no—
1026#121—24no—
1027#121—24no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—24no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—24no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—44no—
1049#121—44no—
1050#121—44no—
1051#121—48no—
1052#121—84no—
1053#121—84no—
1054#120—28no—
1055#120—28no—
1056#120—28no—
1057#120—28no—
1058#120—28no—
1059#120—28no—
1060#120—28no—
1061#120—28no—
1062#120—48no—
1063#120—84no—
1064C4×Q8—28no—
1065C4×Q8—28no—
1066C4×Q8—24no—
1067C4×Q8—24no—
1068C4×Q8—28no—
1069C4×Q8—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—28no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—84no—
1095C4×D4—84no—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098C4×D4C2×D418yes—
1099C4×D4C2×D418yes—
1100C4×D4C2×D418yes—
1101C4×D4C2×D418yes—
1102C4×D4C2×D418yes—
1103C4×D4C2×D418yes—
1104#117—24no—
1105#117—24no—
1106#117—24no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—28no—
1111#117—24no—
1112#117—24no—
1113#117—24no—
1114#117—24no—
1115#117—24no—
1116#117—24no—
1117#117—28no—
1118#117—28no—
1119#117—28no—
1120#117—28no—
1121#117—28no—
1122#117—28no—
1123#117—44no—
1124#117—44no—
1125C2×C4⋊C4—24no—
1126C2×C4⋊C4—24no—
1127C2×C4⋊C4—24no—
1128C2×C4⋊C4—24no—
1129C2×C4⋊C4—24no—
1130C2×C4⋊C4—24no—
1131C2×C4⋊C4—44no—
1132C2×C4⋊C4—44no—
1133C2×C4⋊C4—84no—
1134C2×C4⋊C4C2×D418yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C22⋊C4—28no—
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—44no—
1200C2×C22⋊C4—48no—
1201C2×C22⋊C4—44no—
1202C2×C22⋊C4—84no—
1203C2×C22⋊C4C2×D418yes—
1204C2×C22⋊C4C2×D418yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
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×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2411yescharacteristic
1278C2×C22⋊C4C2411yescharacteristic
1279C2×C22⋊C4C2411yescharacteristic
1280C2×C22⋊C4C2411yescharacteristic
1281C2×C22⋊C4C2411yescharacteristic
1282C2×C22⋊C4C2411yescharacteristic
1283C2×C22⋊C4C2411yescharacteristic
1284C2×C22⋊C4C2411yescharacteristic
1285C2×C42—28no—
1286C2×C42—28no—
1287C2×C42—28no—
1288C2×C42C2×D418yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2412yes—
1295C2×C42C2412yes—
1296C2×C42C2412yes—
1297C2×C42C2412yes—
1298C2×C42C2412yes—
1299C2×C42C2412yes—
1300C2×C42C2412yes—
1301C2×C42C2414yes—
1302C2×C42C2414yes—
1303C2×C42C2414yes—
1304C2×C42C2414yes—
1305C2×C42C2411yescharacteristic
1306C2×C42C2411yescharacteristic
1307C2×C42C2411yescharacteristic
1308C2×C42C2411yescharacteristic
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345C24—22no—
1346C24—22no—
1347C24—24no—
1348C24—24no—
1349C24—24no—
1350C24—24no—
1351C24—42no—
1352C24—42no—
1353C24—41no—
1354C24—41no—
1355C24—42no—
1356C24—42no—
1357C24—42no—
1358C24—42no—
1359C24—44no—
1360C24—44no—
1361C24—44no—
1362C24—44no—
1363C24C22×D414yes—
1364C24C22×D414yes—
1365C24C2512yes—
1366C24C2512yes—
1367C24C2512yes—
1368C24C2512yes—
1369C24C2511yescharacteristic
1370C24C2511yescharacteristic
1371C24C2511yescharacteristic
1372C24C2511yescharacteristic
1373C24C2511yescharacteristic
1374#41—416no—
1375#41—432no—
1376#41—88no—
1377#41—88no—
1378#41—816no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—24no—
1383C2×Q8—24no—
1384C2×Q8—24no—
1385C2×Q8—42no—
1386C2×Q8—42no—
1387C2×Q8—42no—
1388C2×Q8—42no—
1389C2×Q8—42no—
1390C2×Q8—44no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—416no—
1465C2×D4—432no—
1466C2×D4—88no—
1467C2×D4—88no—
1468C2×D4—816no—
1469C2×D4—816no—
1470C2×D4C22×D414yes—
1471C2×D4C22×D414yes—
1472C2×D4C22×D414yes—
1473C2×D4C22×D414yes—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—28no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—416no—
1499C22×C4—416no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—42no—
1519C22×C4—44no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4C22×D414yes—
1533C22×C4C22×D414yes—
1534C22×C4C22×D414yes—
1535C22×C4C22×D414yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D414yes—
1538C22×C4C22×D414yes—
1539C22×C4C22×D414yes—
1540C22×C4C22×D414yes—
1541C22×C4C22×D414yes—
1542C22×C4C22×D414yes—
1543C22×C4C22×D414yes—
1544C22×C4C22×D414yes—
1545C22×C4C2514yes—
1546C22×C4C2514yes—
1547C22×C4C2514yes—
1548C22×C4C2512yes—
1549C22×C4C2514yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2512yes—
1558C22×C4C2512yes—
1559C22×C4C2512yes—
1560C22×C4C2512yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C22×C4C2511yescharacteristic
1571C4⋊C4—22no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—44no—
1623C4⋊C4—44no—
1624C4⋊C4—44no—
1625C4⋊C4C22×D414yes—
1626C4⋊C4C22×D414yes—
1627C4⋊C4C22×D414yes—
1628C4⋊C4C22×D414yes—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4C22×D414yes—
1702C22⋊C4C22×D414yes—
1703C22⋊C4C22×D414yes—
1704C22⋊C4C22×D414yes—
1705C22⋊C4C22×D414yes—
1706C22⋊C4C22×D414yes—
1707C22⋊C4C22×D414yes—
1708C22⋊C4C22×D414yes—
1709C42—24no—
1710C42—24no—
1711C42—24no—
1712C42—24no—
1713C42—24no—
1714C42—24no—
1715C42—24no—
1716C42—24no—
1717C42—24no—
1718C42—24no—
1719C42—24no—
1720C42—24no—
1721C42—44no—
1722C42—44no—
1723C42—44no—
1724C42—44no—
1725C42C22×D414yes—
1726C42C22×D414yes—
1727C42C22×D414yes—
1728C42C22×D414yes—
1729C23—22no—
1730C23—22no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—28no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—24no—
1761C23—24no—
1762C23—24no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—24no—
1767C23—24no—
1768C23—24no—
1769C23—22no—
1770C23—44no—
1771C23—44no—
1772C23—44no—
1773C23—44no—
1774C23—44no—
1775C23—48no—
1776C23—48no—
1777C23—84no—
1778C23—84no—
1779C23—84no—
1780C23—84no—
1781C23—84no—
1782C23—84no—
1783C23—88no—
1784C23—88no—
1785C23—84no—
1786C23—84no—
1787C23—164no—
1788C23—164no—
1789C23C23×D412yes—
1790C23C23×D412yes—
1791C23C23×D412yes—
1792C23C23×D412yes—
1793C23C23×D412yes—
1794C23#58512yes—
1795C23#58512yes—
1796C23C2611yescharacteristic
1797Q8—44no—
1798Q8—48no—
1799Q8—44no—
1800Q8—84no—
1801Q8—84no—
1802D4—28no—
1803D4—28no—
1804D4—44no—
1805D4—44no—
1806D4—48no—
1807D4—44no—
1808D4—48no—
1809D4—48no—
1810D4—48no—
1811D4—48no—
1812D4—48no—
1813D4—48no—
1814D4—48no—
1815D4—48no—
1816D4—44no—
1817D4—44no—
1818D4—44no—
1819D4—84no—
1820D4—84no—
1821D4—84no—
1822D4—84no—
1823D4—84no—
1824D4—84no—
1825D4—84no—
1826D4—84no—
1827D4—84no—
1828D4—84no—
1829D4—84no—
1830D4—88no—
1831D4—88no—
1832D4—164no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—28no—
1845C2×C4—28no—
1846C2×C4—28no—
1847C2×C4—28no—
1848C2×C4—28no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—24no—
1863C2×C4—24no—
1864C2×C4—24no—
1865C2×C4—24no—
1866C2×C4—24no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—24no—
1879C2×C4—22no—
1880C2×C4—24no—
1881C2×C4—24no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—24no—
1890C2×C4—24no—
1891C2×C4—24no—
1892C2×C4—22no—
1893C2×C4—44no—
1894C2×C4—44no—
1895C2×C4—44no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—48no—
1902C2×C4—48no—
1903C2×C4—48no—
1904C2×C4—48no—
1905C2×C4—48no—
1906C2×C4—84no—
1907C2×C4—84no—
1908C2×C4—84no—
1909C2×C4—84no—
1910C2×C4—84no—
1911C2×C4—84no—
1912C2×C4—84no—
1913C2×C4—88no—
1914C2×C4—84no—
1915C2×C4—84no—
1916C2×C4—164no—
1917C2×C4C23×D412yes—
1918C2×C4C23×D412yes—
1919C2×C4C23×D412yes—
1920C2×C4C23×D412yes—
1921C2×C4C23×D412yes—
1922C2×C4C23×D412yes—
1923C2×C4C23×D412yes—
1924C2×C4C23×D412yes—
1925C2×C4C23×D412yes—
1926C2×C4C23×D412yes—
1927C2×C4#58514yes—
1928C22—22no—
1929C22—22no—
1930C22—24no—
1931C22—24no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—22no—
1939C22—22no—
1940C22—22no—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—44no—
1966C22—42no—
1967C22—44no—
1968C22—44no—
1969C22—42no—
1970C22—44no—
1971C22—42no—
1972C22—44no—
1973C22—44no—
1974C22—88no—
1975C22—88no—
1976C22—168no—
1977C22—168no—
1978C22#344914yes—
1979C22C24×D411yescharacteristic
1980C22C2×#58512yes—
1981C22C2×#58511yescharacteristic
1982C22C2×#58511yescharacteristic
1983C22H(7,𝔽2)12yes—
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—22no—
1992C4—22no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—44no—
2006C4—44no—
2007C4—44no—
2008C4—44no—
2009C4#348514yes—
2010C2—24no—
2011C2—42no—
2012C2—42no—
2013C2—42no—
2014C2—42no—
2015C2—82no—
2016C2—82no—
2017C2—82no—
2018C2—82no—
2019C2C2×#344911yescharacteristic
2020C2C2×#348511yescharacteristic
2021C2#6285211yescharacteristic
2022C2#6294112yes—
2023C2#6297012yes—
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×#3519C2semidirect
2. C2×#3475C2semidirect
3. #42151C2semidirect
4. #41954C2semidirect
5. #41416C2semidirect
6. #41381C2semidirect
7. #41380C2semidirect
8. #41371C2semidirect
9. #41370C2semidirect
10. #40596C2semidirect
11. #40585C2semidirect
12. #38914C2semidirect
13. #38902C2semidirect
14. #38050C2semidirect
15. #38040C2semidirect
16. #38033C2semidirect
17. #38026C2semidirect
18. #37619C2semidirect
19. #37551C2semidirect
20. #37445C2semidirect
21. #37444C2semidirect
22. #37439C2semidirect
23. #37437C2semidirect
24. #36361C2semidirect
25. #36360C2semidirect
26. #36010C2semidirect
27. #35840C2semidirect
28. #35764C2semidirect
29. #35342C2semidirect
30. #35263C2semidirect
31. #35262C2semidirect
32. #34635C2semidirect
33. #34609C2semidirect
34. C2×#2624C2semidirect
35. #34185C2semidirect
38. C2×#556C22semidirect
40. C2×#555C22semidirect
42. C2×#554C22semidirect
47. C2×#553C22semidirect
49. C2×#552C22semidirect
50. C2×#552C22semidirect
51. C2×#551C22semidirect
52. C2×#551C22semidirect
54. C2×#547C22semidirect
65. C2×#533C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
73. C2×#525C22semidirect
74. C2×#525C22semidirect
78. C2×C4×#41C22semidirect
79. C2×C4×#41C22semidirect
81. C22×#117C22semidirect
82. C22×#117C22semidirect
83. #2855C22semidirect
84. #2854C22semidirect
85. #2854C22semidirect
86. #2854C22semidirect
87. #2851C22semidirect
88. #2850C22semidirect
89. #2821C22semidirect
90. #2821C22semidirect
91. #2816C22semidirect
92. #2816C22semidirect
93. #2815C22semidirect
94. #2814C22semidirect
95. #2813C22semidirect
96. #2813C22semidirect
97. #2812C22semidirect
98. #2723C22semidirect
99. #2721C22semidirect
100. #2721C22semidirect
101. #2719C22semidirect
102. #2714C22semidirect
103. #2711C22semidirect
104. #2710C22semidirect
105. #2709C22semidirect
106. #2708C22semidirect
107. #2703C22semidirect
108. #2696C22semidirect
109. #2694C22semidirect
110. #2689C22semidirect
111. #2686C22semidirect
112. #2685C22semidirect
113. #2684C22semidirect
114. #2674C22semidirect
115. #2674C22semidirect
116. #2673C22semidirect
117. #2672C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
120. #2670C22semidirect
121. #2668C22semidirect
122. #2663C22semidirect
123. #2663C22semidirect
124. #2661C22semidirect
125. #2661C22semidirect
126. #2658C22semidirect
127. #2656C22semidirect
128. #2640C22semidirect
129. #2639C22semidirect
130. #2638C22semidirect
131. #2638C22semidirect
132. #2635C22semidirect
133. #2635C22semidirect
134. #2633C22semidirect
135. #2633C22semidirect
136. #2632C22semidirect
137. #2631C22semidirect
138. #2630C22semidirect
139. #2628C22semidirect
140. #2626C22semidirect
141. #2625C22semidirect
142. #2625C22semidirect
143. #2625C22semidirect
144. #2625C22semidirect
148. #2624C22semidirect
149. #2624C22semidirect
150. #2624C22semidirect
151. #2624C22semidirect
152. #2624C22semidirect
153. #2624C22semidirect
154. #2624C22semidirect
155. #2624C22semidirect
156. #2624C22semidirect
157. #2624C22semidirect
158. #2624C22semidirect
159. #2624C22semidirect
160. #2623C22semidirect
161. #2623C22semidirect
162. #2622C22semidirect
163. #2619C22semidirect
164. #2617C22semidirect
165. #2617C22semidirect
166. #2616C22semidirect
168. #2615C22semidirect
169. #2615C22semidirect
170. #2613C22semidirect
171. #2611C22semidirect
172. #2611C22semidirect
173. #2604C22semidirect
174. #2603C22semidirect
175. #2602C22semidirect
176. #2602C22semidirect
177. #2600C22semidirect
178. #2599C22semidirect
179. #2598C22semidirect
180. #2592C22semidirect
181. #2584C22semidirect
182. #2581C22semidirect
183. #2580C22semidirect
184. #2580C22semidirect
185. #2580C22semidirect
186. #2564C22semidirect
187. #2561C22semidirect
188. #2559C22semidirect
189. #2559C22semidirect
190. #2555C22semidirect
191. #2553C22semidirect
192. #2548C22semidirect
193. #2546C22semidirect
194. #2543C22semidirect
195. #2539C22semidirect
196. #2539C22semidirect
197. #2521C22semidirect
198. #2504C22semidirect
199. #2501C22semidirect
200. #2500C22semidirect
201. #2498C22semidirect
202. #2498C22semidirect
203. #2491C22semidirect
204. #2488C22semidirect
205. #2487C22semidirect
206. #2487C22semidirect
207. #2486C22semidirect
208. #2486C22semidirect
209. #2485C22semidirect
210. #2485C22semidirect
211. #2485C22semidirect
212. #2482C22semidirect
213. #2482C22semidirect
214. #2480C22semidirect
215. #2479C22semidirect
216. #2479C22semidirect
217. #2476C22semidirect
218. #2475C22semidirect
219. #2472C22semidirect
220. #2471C22semidirect
221. #2470C22semidirect
222. #2469C22semidirect
223. #2467C22semidirect
224. #2466C22semidirect
225. #2464C22semidirect
226. #2460C22semidirect
227. #2458C22semidirect
228. #2456C22semidirect
229. #2455C22semidirect
230. #2455C22semidirect
232. #2443C22semidirect
233. #2440C22semidirect
234. #2432C22semidirect
235. #2430C22semidirect
236. #2422C22semidirect
238. #2418C22semidirect
239. #2418C22semidirect
240. #2417C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2412C22semidirect
250. #2410C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
256. #2405C22semidirect
257. #2404C22semidirect
258. #2398C22semidirect
259. #2397C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
262. #2395C22semidirect
263. C2×#399C22semidirect
264. C2×#397C22semidirect
265. #2388C22semidirect
266. C2×#394C22semidirect
267. #2361C22semidirect
268. #2359C22semidirect
269. #2358C22semidirect
271. #2353C22semidirect
272. #2353C22semidirect
273. #2353C22semidirect
275. #2352C22semidirect
276. #2352C22semidirect
277. #2352C22semidirect
278. #2342C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2317C22semidirect
282. #2316C22semidirect
283. #2313C22semidirect
284. #2312C22semidirect
285. #2311C22semidirect
286. #2309C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2297C22semidirect
291. #2296C22semidirect
292. C2×#390C22semidirect
293. C2×#389C22semidirect
294. #2283C22semidirect
295. #2283C22semidirect
296. #2280C22semidirect
297. #2280C22semidirect
298. C2×#380C22semidirect
299. C2×#380C22semidirect
300. #2273C22semidirect
471. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#34752
#421512
#419542
#414162
#413812
#413802
#413712
#413702
#405962
#405852
#389142
#389022
#380502
#380402
#380332
#380262
#376192
#375512
#374452
#374442
#374392
#374372
#363612
#363602
#360102
#358402
#357642
#353422
#352632
#352622
#346352
#346092
C2×#26242
#341852