Finite Group Databasebeta

← #7632136

Subgroups — #7632136

Order 512.

8573 conjugacy classes of subgroups.

The subgroup lattice has 1977 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3475C211yesmaximal, characteristic, complemented
2C2×C4×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3#36229C212yesmaximal, complemented
4#36228C212yesmaximal, complemented
5#36221C214yesmaximal, complemented
6#36220C214yesmaximal, complemented
7#36215C212yesmaximal, complemented
8#36214C212yesmaximal, complemented
9#36087C211yesmaximal, characteristic, complemented
10#36080C211yesmaximal, characteristic, complemented
11#36070C212yesmaximal, complemented
12#36067C211yesmaximal, characteristic, complemented
13#36004C211yesmaximal, characteristic, complemented
14#35990C212yesmaximal, complemented
15#35987C211yesmaximal, characteristic, complemented
16#35982C211yesmaximal, characteristic, complemented
17#35753C212yesmaximal, complemented
18#35750C211yesmaximal, characteristic, complemented
19#35683C212yesmaximal, complemented
20#35680C211yesmaximal, characteristic, complemented
21#35526C212yesmaximal, complemented
22#35525C212yesmaximal, complemented
23#35449C214yesmaximal, complemented
24#35352C214yesmaximal, complemented
25#35342C211yesmaximal, characteristic, complemented
26#35233C211yesmaximal, characteristic, complemented
27#35144C212yesmaximal, complemented
28#35102C212yesmaximal, complemented
29#34963C211yesmaximal, characteristic, complemented
30#34909C211yesmaximal, characteristic, complemented
31#34875C212yesmaximal, complemented
32C2×#2598C212yesmaximal, complemented
33#34292C212yesmaximal, complemented
34#34290C212yesmaximal, complemented
35#34195C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37#3475—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic, complemented
41C2×#553C2212yescomplemented
42C2×#552C2211yescharacteristic, complemented
43C2×#552C2211yescharacteristic, complemented
44C2×#552C2212yescomplemented
45C2×#551C2212yescomplemented
46C2×#551C2212yescomplemented
47C2×#547C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#546C2212yes—
50C2×#546C2211yescharacteristic, complemented
51C2×D42C2212yes—
52C2×#533C2211yescharacteristic, complemented
53C2×#529C2211yescharacteristic, complemented
54C2×#529C2212yescomplemented
55C2×#529C2212yescomplemented
56C2×#529C2211yescharacteristic, complemented
57C2×#525C2212yescomplemented
58C4×H(5,𝔽2)—216no—
59C2×#520C2211yescharacteristic
60C2×#520C2212yescomplemented
61C2×#520C2212yescomplemented
62C2×#520C2211yescharacteristic, complemented
63C2×#518C2212yes—
64C2×#518C2214yescomplemented
65C2×#518C2212yescomplemented
66C2×#518C2211yescharacteristic, complemented
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2211yescharacteristic, complemented
69C2×C4×#41C2212yescomplemented
70C2×C4×#41C2211yescharacteristic, complemented
71C2×C4×#41C2212yescomplemented
72C2×C4×#41C2211yescharacteristic, complemented
73C22×C4×D4C2212yes—
74C22×C4×D4C2212yescomplemented
75C22×C4×D4C2214yescomplemented
76C22×C4×D4C2211yescharacteristic, complemented
77C22×C4×D4C2211yescharacteristic, complemented
78C22×#117C2212yescomplemented
79#2852C2214yescomplemented
80#2852C2214yescomplemented
81#2851C2212yescomplemented
82#2850C2212yescomplemented
83#2849C2214yescomplemented
84#2848C2214yescomplemented
85#2847C2214yescomplemented
86#2636C2212yescomplemented
87#2636C2212yescomplemented
88#2634C2212yescomplemented
89#2633C2212yescomplemented
90#2632C2212yescomplemented
91#2631C2212yescomplemented
92#2625C2211yescharacteristic, complemented
93#2624C2211yescharacteristic, complemented
94#2623C2212yescomplemented
95#2623C2212yescomplemented
96#2616C2211yescharacteristic, complemented
97#2615C2211yescharacteristic
98#2613C2212yes—
99#2613C2212yescomplemented
100#2609C2214yescomplemented
101#2609C2214yescomplemented
102#2604C2212yescomplemented
103#2603C2212yescomplemented
104#2603C2214yescomplemented
105#2603C2214yescomplemented
106#2602C2214yescomplemented
107#2600C2214yescomplemented
108#2600C2212yescomplemented
109#2600C2212yescomplemented
110#2599C2212yescomplemented
111#2599C2211yescharacteristic, complemented
112#2599C2211yescharacteristic, complemented
113#2599C2214yescomplemented
114#2598C2212yescomplemented
115#2598C2214yescomplemented
116#2598C2214yescomplemented
117#2598C2211yescharacteristic, complemented
118#2598C2212yescomplemented
119#2598C2212yescomplemented
120#2598C2211yescharacteristic, complemented
121#2598C2212yescomplemented
122#2598C2212yescomplemented
123#2598C2212yescomplemented
124#2598C2214yescomplemented
125#2598C2214yescomplemented
126#2598C2214yescomplemented
127#2598C2212yescomplemented
128#2598C2212yescomplemented
129#2598C2212yescomplemented
130#2581C2211yescharacteristic, complemented
131#2580C2211yescharacteristic, complemented
132#2580C2212yescomplemented
133#2579C2214yescomplemented
134#2566C2212yescomplemented
135#2564C2214yescomplemented
136#2562C2212yescomplemented
137#2562C2212yescomplemented
138#2544C2212yescomplemented
139#2543C2214yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2536C2214yescomplemented
143#2536C2211yescharacteristic, complemented
144#2535C2214yescomplemented
145#2535C2211yescharacteristic, complemented
146#2535C2212yescomplemented
147#2534C2214yescomplemented
148#2534C2214yescomplemented
149#2503C2211yescharacteristic, complemented
150#2501C2211yescharacteristic, complemented
151#2498C2212yescomplemented
152#2498C2212yescomplemented
153#2487C2211yescharacteristic, complemented
154#2487C2211yescharacteristic, complemented
155#2485C2212yescomplemented
156#2484C2212yescomplemented
157#2482C2212yescomplemented
158#2482C2212yescomplemented
159#2481C2214yescomplemented
160#2480C2214yescomplemented
161#2479C2214yescomplemented
162#2477C2214yescomplemented
163#2475C2214yescomplemented
164#2473C2214yescomplemented
165#2472C2214yescomplemented
166#2471C2214yescomplemented
167#2468C2214yescomplemented
168#2467C2214yescomplemented
169#2467C2214yescomplemented
170#2464C2214yescomplemented
171#2463C2214yescomplemented
172#2463C2214yescomplemented
173#2461C2214yescomplemented
174#2460C2214yescomplemented
175#2460C2214yescomplemented
176#2457C2214yescomplemented
177#2456C2214yescomplemented
178#2456C2214yescomplemented
179#2454C2212yescomplemented
180#2452C2212yescomplemented
181#2450C2214yescomplemented
182#2449C2214yescomplemented
183#2449C2214yescomplemented
184#2448C2212yescomplemented
185#2446C2212yescomplemented
186#2444C2214yescomplemented
187#2443C2214yescomplemented
188#2443C2214yescomplemented
189#2442C2212yescomplemented
190#2440C2212yescomplemented
191#2437C2214yescomplemented
192#2437C2214yescomplemented
193#2435C2211yescharacteristic, complemented
194#2433C2211yescharacteristic
195#2432C2212yescomplemented
196#2431C2212yes—
197#2430C2212yes—
198#2430C2212yescomplemented
199#2428C2212yescomplemented
200#2427C2212yescomplemented
201#2425C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2423C2212yescomplemented
205#2421C2212yescomplemented
206#2419C2214yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2417C2212yescomplemented
210#2416C2212yescomplemented
211#2412C2214yescomplemented
212#2410C2214yes—
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2408C2211yescharacteristic
216#2408C2211yescharacteristic, complemented
217#2407C2212yes—
218#2407C2212yescomplemented
219#2407C2212yescomplemented
220#2406C2212yescomplemented
221#2405C2214yescomplemented
222#2404C2212yes—
223#2404C2212yescomplemented
224#2403C2214yes—
225#2398C2212yescomplemented
226#2397C2212yescomplemented
227#2396C2212yescomplemented
228#2396C2212yescomplemented
229#2395C2211yescharacteristic, complemented
230#2395C2211yescharacteristic, complemented
231C2×#400C2212yescomplemented
232C2×#399C2212yescomplemented
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2388C2211yescharacteristic
236#2388C2211yescharacteristic, complemented
237C2×#394C2212yescomplemented
238C2×#392C2212yes—
239#2367C2212yescomplemented
240#2366C2212yescomplemented
241#2364C2214yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2362C2212yescomplemented
245#2361C2214yescomplemented
246#2361C2212yescomplemented
247#2359C2214yescomplemented
248#2358C2214yescomplemented
249#2358C2214yescomplemented
250#2358C2214yescomplemented
251#2356C2212yescomplemented
252#2354C2212yescomplemented
253#2353C2214yescomplemented
254#2352C2212yescomplemented
255#2349C2212yescomplemented
256#2349C2212yescomplemented
257D4×C4⋊C4C2212yescomplemented
258#2347C2211yescharacteristic, complemented
259#2347C2211yescharacteristic, complemented
260#2343C2212yescomplemented
261#2343C2212yescomplemented
262#2342C2214yescomplemented
263#2339C2211yescharacteristic
264#2339C2211yescharacteristic
265#2339C2212yescomplemented
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2214yescomplemented
269D4×C22⋊C4C2212yescomplemented
270#2328C2212yescomplemented
271#2326C2212yescomplemented
272#2325C2214yescomplemented
273#2325C2214yescomplemented
274#2324C2212yescomplemented
275#2323C2212yescomplemented
276#2321C2214yescomplemented
277#2321C2214yescomplemented
278#2320C2212yescomplemented
279#2318C2214yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2214yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#120C2214yescomplemented
286C4×#120C2212yescomplemented
287C4×#120C2212yescomplemented
288#2290C2214yescomplemented
289#2290C2214yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292C2×#388C2214yescomplemented
293C2×#386C2214yescomplemented
294C2×#386C2214yescomplemented
295C2×#385C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298#2283C2211yescharacteristic, complemented
299C2×#383C2212yescomplemented
300#2275C2212yescomplemented
301C2×H(5,𝔽2)—28no—
302C2×H(5,𝔽2)—216no—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2314yes—
311C23×D4C2311yescharacteristic
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C23×D4C2314yes—
315C24×C4C2312yes—
316C24×C4C2314yes—
317C24×C4C2312yes—
318#556—28no—
319#555—28no—
320#554—28no—
321#553—216no—
322#552—28no—
323#552—216no—
324#552—28no—
325#551—216no—
326#551—216no—
327#547—28no—
328#546—28no—
329#546—216no—
330#546—28no—
331D42—216no—
332#533—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×#127C2312yes—
336#529—28no—
337#529—216no—
338#529—216no—
339#529—28no—
340C2×#126C2312yes—
341C2×#126C2312yes—
342C2×#126C2312yes—
343C2×#126C2312yes—
344C2×#126C2312yes—
345C2×#126C2312yes—
346C2×#125C2312yes—
347C2×#125C2311yescharacteristic
348C2×#125C2311yescharacteristic
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#124C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2311yescharacteristic
355C2×#124C2312yes—
356#525—216no—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×#123C2314yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2311yescharacteristic
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×#120C2314yes—
402#520—28no—
403#520—216no—
404#520—216no—
405#520—28no—
406#518—216no—
407#518—232no—
408#518—216no—
409#518—28no—
410C4×#41—216no—
411C4×#41—28no—
412C4×#41—216no—
413C4×#41—28no—
414C4×#41—28no—
415C4×#41D4116yescomplemented
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2311yescharacteristic
418C2×C4×Q8C2311yescharacteristic
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×D4—216no—
428C2×C4×D4—28no—
429C2×C4×D4—232no—
430C2×C4×D4—216no—
431C2×C4×D4—28no—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2314yes—
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×#117—216no—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2314yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2314yes—
512C22×C4⋊C4C2314yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2314yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2314yes—
524C22×C22⋊C4C2314yes—
525C22×C42C2312yes—
526C22×C42C2314yes—
527C22×C42C2312yes—
528C22×C42C2311yescharacteristic
529C22×C42C2311yescharacteristic
530C22×C42C2312yes—
531C22×C42C2311yescharacteristic
532#400C2311yescharacteristic
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2314yes—
537#400C2311yescharacteristic
538#400C2312yes—
539#400C2312yes—
540#400C2314yes—
541#400C2314yes—
542#399C2314yes—
543#399C2311yescharacteristic
544#399C2311yescharacteristic
545#399C2314yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2314yes—
550#399C2314yes—
551#399C2312yes—
552#399C2312yes—
553#398C2314yes—
554#398C2314yes—
555#398C2312yes—
556#398C2311yescharacteristic
557#398C2314yes—
558#398C2311yescharacteristic
559#398C2314yes—
560#398C2314yes—
561#397C2312yes—
562#397C2311yescharacteristic
563#397C2314yes—
564#397C2311yescharacteristic
565#397C2314yes—
566#397C2312yes—
567#397C2312yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#395C2314yes—
578#395C2311yescharacteristic
579#395C2311yescharacteristic
580#395C2312yes—
581#394C2311yescharacteristic
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2311yescharacteristic
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#393C2314yes—
604#393C2311yescharacteristic
605#393C2311yescharacteristic
606#393C2314yes—
607#393C2312yes—
608#392C2311yescharacteristic
609#392C2312yes—
610#392C2312yes—
611#392C2312yes—
612#392C2314yes—
613#392C2314yes—
614#392C2312yes—
615#392C2311yescharacteristic
616#392C2312yes—
617#392C2314yes—
618#392C2314yes—
619#392C2312yes—
620#392C2312yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#384C2312yes—
779#383C2314yes—
780#383C2314yes—
781#383C2311yescharacteristic
782#383C2312yes—
783#383C2311yescharacteristic
784#383C2312yes—
785#383C2312yes—
786#382C2312yes—
787#382C2314yes—
788#382C2312yes—
789#382C2311yescharacteristic
790#382C2311yescharacteristic
791#381C2312yes—
792#381C2312yes—
793#381C2314yes—
794#381C2312yes—
795#381C2312yes—
796#381C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2314yes—
806#380C2312yes—
807#380C2312yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#379C2314yes—
814#379C2314yes—
815#379C2314yes—
816#379C2314yes—
817#379C2312yes—
818#379C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845#376C2312yes—
846#376C2312yes—
847#376C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2314yes—
853C2×#95C2314yes—
854C25C2412yes—
855C25C2412yes—
856C25C2414yes—
857H(5,𝔽2)—2128no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—42no—
870C2×#41—42no—
871C2×#41C2×D418yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×D4—216no—
878C22×D4—216no—
879C22×D4—216no—
880C22×D4—28no—
881C22×D4—216no—
882C22×D4—28no—
883C22×D4—28no—
884C22×D4—216no—
885C22×D4—24no—
886C22×D4—28no—
887C22×D4—28no—
888C22×D4—24no—
889C22×D4—48no—
890C22×D4—84no—
891C22×D4#41116yescomplemented
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2411yescharacteristic
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2411yescharacteristic
915C23×C4—28no—
916C23×C4—216no—
917C23×C4—28no—
918C23×C4—44no—
919C23×C4—44no—
920C23×C4—84no—
921C23×C4—84no—
922C23×C4—84no—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2411yescharacteristic
938C23×C4C2414yes—
939C23×C4C2412yes—
940C23×C4C2414yes—
941C23×C4C2414yes—
942C23×C4C2414yes—
943C23×C4C2412yes—
944C23×C4C2414yes—
945C23×C4C2412yes—
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2414yes—
949C23×C4C2412yes—
950C23×C4C2411yescharacteristic
951C23×C4C2412yes—
952C23×C4C2412yes—
953C23×C4C2411yescharacteristic
954C4⋊Q8—24no—
955C4⋊Q8—24no—
956#127—28no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—28no—
963#125—28no—
964#125—24no—
965#125—28no—
966#125—28no—
967#125—24no—
968#124—24no—
969#124—28no—
970#124—28no—
971#124—24no—
972#124—28no—
973#123—28no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—84no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—44no—
994C22⋊Q8—84no—
995C22⋊Q8—84no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—24no—
1004#121—28no—
1005#121—24no—
1006#121—28no—
1007#121—44no—
1008#121—84no—
1009#121—84no—
1010#120—216no—
1011#120—216no—
1012#120—28no—
1013#120—216no—
1014#120—28no—
1015#120—44no—
1016#120—44no—
1017#120—84no—
1018C4×Q8—28no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8C2×D418yescomplemented
1028C4×Q8C2×D418yescomplemented
1029C4×D4—216no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—216no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—28no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—216no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—216no—
1053C4×D4—216no—
1054C4×D4—216no—
1055C4×D4—216no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—216no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—216no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—48no—
1074C4×D4—48no—
1075C4×D4—84no—
1076C4×D4—84no—
1077C4×D4C2×D418yes—
1078C4×D4C2×D418yes—
1079C4×D4C2×D4116yescomplemented
1080C4×D4C2×D4116yescomplemented
1081#117—28no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—216no—
1086#117—24no—
1087#117—28no—
1088#117—24no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—216no—
1098#117—24no—
1099#117C2×D4116yescomplemented
1100#117C2×D418yescomplemented
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—28no—
1104C2×C4⋊C4—24no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—216no—
1107C2×C4⋊C4—24no—
1108C2×C4⋊C4—84no—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C22⋊C4—216no—
1163C2×C22⋊C4—28no—
1164C2×C22⋊C4—28no—
1165C2×C22⋊C4—216no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—216no—
1168C2×C22⋊C4—216no—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4—48no—
1172C2×C22⋊C4—84no—
1173C2×C22⋊C4—84no—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C42—28no—
1248C2×C42—216no—
1249C2×C42—28no—
1250C2×C42—24no—
1251C2×C42—24no—
1252C2×C42C2×D4116yescomplemented
1253C2×C42C2×D418yescomplemented
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2414yes—
1257C2×C42C2412yes—
1258C2×C42C2414yes—
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2411yescharacteristic
1266C2×C42C2412yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2414yes—
1271C2×C42C2414yes—
1272C2×C42C2414yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2411yescharacteristic
1280#95C2412yes—
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2411yescharacteristic
1313#95C2411yescharacteristic
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—24no—
1330C24—28no—
1331C24—28no—
1332C24—28no—
1333C24—24no—
1334C24—24no—
1335C24—28no—
1336C24—44no—
1337C24—44no—
1338C24—44no—
1339C24—42no—
1340C24—44no—
1341C24—44no—
1342C24—42no—
1343C24—42no—
1344C24—44no—
1345C24C2×#41116yes—
1346C24C2512yes—
1347C24C2511yescharacteristic
1348C24C2511yescharacteristic
1349C24C2512yes—
1350C24C2514yes—
1351C24C2511yescharacteristic
1352C24C2512yes—
1353#41—264no—
1354#41—264no—
1355#41—232no—
1356#41—232no—
1357#41—416no—
1358#41—416no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—22no—
1367C2×Q8—41no—
1368C2×Q8—44no—
1369C2×Q8C22×D414yes—
1370C2×D4—2128no—
1371C2×D4—264no—
1372C2×D4—232no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—28no—
1382C2×D4—264no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—28no—
1398C2×D4—28no—
1399C2×D4—28no—
1400C2×D4—28no—
1401C2×D4—28no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—22no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—416no—
1430C2×D4—832no—
1431C2×D4C22×D418yes—
1432C2×D4C22×D414yes—
1433C2×D4C2×#41116yes—
1434C2×D4C2×#4118yes—
1435C2×D4C2×#4118yes—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—22no—
1439C22×C4—28no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—28no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—28no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—28no—
1468C22×C4—24no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—28no—
1472C22×C4—28no—
1473C22×C4—28no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—42no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—41no—
1490C22×C4—41no—
1491C22×C4—44no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—42no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—432no—
1512C22×C4—816no—
1513C22×C4—832no—
1514C22×C4C22×D418yes—
1515C22×C4C22×D414yes—
1516C22×C4C22×D418yes—
1517C22×C4C22×D414yes—
1518C22×C4C22×D418yes—
1519C22×C4C22×D414yes—
1520C22×C4C2×#4118yes—
1521C22×C4C2512yes—
1522C22×C4C2514yes—
1523C22×C4C2512yes—
1524C22×C4C2514yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2512yes—
1533C22×C4C2514yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—42no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4C22×D414yes—
1599C4⋊C4C22×D418yes—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D418yes—
1602C22⋊C4—24no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—28no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—22no—
1620C22⋊C4—22no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—28no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—22no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4C22×D418yes—
1673C22⋊C4C22×D418yes—
1674C22⋊C4C22×D418yes—
1675C42—22no—
1676C42—24no—
1677C42—24no—
1678C42—28no—
1679C42—24no—
1680C42—28no—
1681C42—24no—
1682C42—22no—
1683C42—24no—
1684C42—24no—
1685C42—22no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—24no—
1690C42—24no—
1691C42—44no—
1692C42—44no—
1693C42—44no—
1694C42C22×D414yes—
1695C42C22×D418yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C42C22×D418yes—
1699C42C22×D418yes—
1700C42C22×D414yes—
1701C23—22no—
1702C23—22no—
1703C23—24no—
1704C23—216no—
1705C23—21no—
1706C23—24no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—22no—
1712C23—22no—
1713C23—24no—
1714C23—24no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—24no—
1722C23—24no—
1723C23—22no—
1724C23—22no—
1725C23—232no—
1726C23—22no—
1727C23—21no—
1728C23—22no—
1729C23—24no—
1730C23—22no—
1731C23—21no—
1732C23—22no—
1733C23—21no—
1734C23—22no—
1735C23—24no—
1736C23—416no—
1737C23—416no—
1738C23—48no—
1739C23—416no—
1740C23—48no—
1741C23—88no—
1742C23—84no—
1743C23—88no—
1744C23—88no—
1745C23—88no—
1746C23—88no—
1747C23—84no—
1748C23—88no—
1749C23—88no—
1750C23—84no—
1751C23C23×D412yes—
1752C23C23×D414yes—
1753C23C22×#4118yes—
1754C23C22×#4114yes—
1755C23C22×#4118yes—
1756C23#58512yes—
1757C23C2611yescharacteristic
1758Q8—28no—
1759Q8—28no—
1760Q8—44no—
1761Q8—44no—
1762Q8—84no—
1763D4—232no—
1764D4—216no—
1765D4—28no—
1766D4—216no—
1767D4—216no—
1768D4—232no—
1769D4—216no—
1770D4—44no—
1771D4—44no—
1772D4—416no—
1773D4—48no—
1774D4—44no—
1775D4—48no—
1776D4—48no—
1777D4—44no—
1778D4—84no—
1779D4—84no—
1780D4—88no—
1781D4—88no—
1782D4—84no—
1783D4—88no—
1784D4—88no—
1785D4#525116yes—
1786C2×C4—28no—
1787C2×C4—232no—
1788C2×C4—22no—
1789C2×C4—21no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—216no—
1804C2×C4—28no—
1805C2×C4—216no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—24no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—24no—
1850C2×C4—22no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—48no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—48no—
1859C2×C4—48no—
1860C2×C4—416no—
1861C2×C4—44no—
1862C2×C4—48no—
1863C2×C4—44no—
1864C2×C4—44no—
1865C2×C4—88no—
1866C2×C4—84no—
1867C2×C4—82no—
1868C2×C4—82no—
1869C2×C4—88no—
1870C2×C4—88no—
1871C2×C4—88no—
1872C2×C4—88no—
1873C2×C4—84no—
1874C2×C4—88no—
1875C2×C4—84no—
1876C2×C4—88no—
1877C2×C4C23×D412yes—
1878C2×C4C23×D414yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D414yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D414yes—
1885C2×C4C23×D412yes—
1886C2×C4C22×#4114yes—
1887C2×C4C22×#4114yes—
1888C2×C4#58512yes—
1889C22—28no—
1890C22—28no—
1891C22—24no—
1892C22—24no—
1893C22—24no—
1894C22—24no—
1895C22—28no—
1896C22—28no—
1897C22—24no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—28no—
1903C22—24no—
1904C22—44no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—44no—
1913C22—42no—
1914C22—44no—
1915C22—41no—
1916C22—41no—
1917C22—44no—
1918C22—42no—
1919C22—42no—
1920C22—44no—
1921C22—42no—
1922C22—41no—
1923C22—41no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—832no—
1928C22—816no—
1929C22—816no—
1930C22C2×#52518yes—
1931C22C24×D411yescharacteristic
1932C22C23×#4112yes—
1933C22C2×#58511yescharacteristic
1934C22C2×#58511yescharacteristic
1935C22H(7,𝔽2)12yes—
1936C4—22no—
1937C4—22no—
1938C4—24no—
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—24no—
1943C4—24no—
1944C4—22no—
1945C4—24no—
1946C4—42no—
1947C4—44no—
1948C4—42no—
1949C4—42no—
1950C4—44no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4—42no—
1955C4—42no—
1956C4—44no—
1957C4—41no—
1958C4—42no—
1959C4—41no—
1960C4—41no—
1961C4—41no—
1962C4—42no—
1963C4C2×#52514yes—
1964C2—28no—
1965C2—42no—
1966C2—44no—
1967C2—48no—
1968C2—42no—
1969C2—81no—
1970C2—82no—
1971C2C22×#52511yescharacteristic
1972C2#6281111yescharacteristic
1973C2#6285211yescharacteristic
1974C2#6299012yes—
1975C2#6299212yes—
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×#3475C2semidirect
2. C2×C4×H(5,𝔽2)C2semidirect
3. #36229C2semidirect
4. #36228C2semidirect
5. #36221C2semidirect
6. #36220C2semidirect
7. #36215C2semidirect
8. #36214C2semidirect
9. #36087C2semidirect
10. #36080C2semidirect
11. #36070C2semidirect
12. #36067C2semidirect
13. #36004C2semidirect
14. #35990C2semidirect
15. #35987C2semidirect
16. #35982C2semidirect
17. #35753C2semidirect
18. #35750C2semidirect
19. #35683C2semidirect
20. #35680C2semidirect
21. #35526C2semidirect
22. #35525C2semidirect
23. #35449C2semidirect
24. #35352C2semidirect
25. #35342C2semidirect
26. #35233C2semidirect
27. #35144C2semidirect
28. #35102C2semidirect
29. #34963C2semidirect
30. #34909C2semidirect
31. #34875C2semidirect
32. C2×#2598C2semidirect
33. #34292C2semidirect
34. #34290C2semidirect
35. #34195C2semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
40. C2×#554C22semidirect
41. C2×#553C22semidirect
42. C2×#552C22semidirect
43. C2×#552C22semidirect
44. C2×#552C22semidirect
45. C2×#551C22semidirect
46. C2×#551C22semidirect
50. C2×#546C22semidirect
52. C2×#533C22semidirect
53. C2×#529C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
56. C2×#529C22semidirect
57. C2×#525C22semidirect
60. C2×#520C22semidirect
61. C2×#520C22semidirect
62. C2×#520C22semidirect
64. C2×#518C22semidirect
65. C2×#518C22semidirect
66. C2×#518C22semidirect
68. C2×C4×#41C22semidirect
69. C2×C4×#41C22semidirect
70. C2×C4×#41C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. C22×C4×D4C22semidirect
78. C22×#117C22semidirect
79. #2852C22semidirect
80. #2852C22semidirect
81. #2851C22semidirect
82. #2850C22semidirect
83. #2849C22semidirect
84. #2848C22semidirect
85. #2847C22semidirect
86. #2636C22semidirect
87. #2636C22semidirect
88. #2634C22semidirect
89. #2633C22semidirect
90. #2632C22semidirect
91. #2631C22semidirect
92. #2625C22semidirect
93. #2624C22semidirect
94. #2623C22semidirect
95. #2623C22semidirect
96. #2616C22semidirect
99. #2613C22semidirect
100. #2609C22semidirect
101. #2609C22semidirect
102. #2604C22semidirect
103. #2603C22semidirect
104. #2603C22semidirect
105. #2603C22semidirect
106. #2602C22semidirect
107. #2600C22semidirect
108. #2600C22semidirect
109. #2600C22semidirect
110. #2599C22semidirect
111. #2599C22semidirect
112. #2599C22semidirect
113. #2599C22semidirect
114. #2598C22semidirect
115. #2598C22semidirect
116. #2598C22semidirect
117. #2598C22semidirect
118. #2598C22semidirect
119. #2598C22semidirect
120. #2598C22semidirect
121. #2598C22semidirect
122. #2598C22semidirect
123. #2598C22semidirect
124. #2598C22semidirect
125. #2598C22semidirect
126. #2598C22semidirect
127. #2598C22semidirect
128. #2598C22semidirect
129. #2598C22semidirect
130. #2581C22semidirect
131. #2580C22semidirect
132. #2580C22semidirect
133. #2579C22semidirect
134. #2566C22semidirect
135. #2564C22semidirect
136. #2562C22semidirect
137. #2562C22semidirect
138. #2544C22semidirect
139. #2543C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2536C22semidirect
143. #2536C22semidirect
144. #2535C22semidirect
145. #2535C22semidirect
146. #2535C22semidirect
147. #2534C22semidirect
148. #2534C22semidirect
149. #2503C22semidirect
150. #2501C22semidirect
151. #2498C22semidirect
152. #2498C22semidirect
153. #2487C22semidirect
154. #2487C22semidirect
155. #2485C22semidirect
156. #2484C22semidirect
157. #2482C22semidirect
158. #2482C22semidirect
159. #2481C22semidirect
160. #2480C22semidirect
161. #2479C22semidirect
162. #2477C22semidirect
163. #2475C22semidirect
164. #2473C22semidirect
165. #2472C22semidirect
166. #2471C22semidirect
167. #2468C22semidirect
168. #2467C22semidirect
169. #2467C22semidirect
170. #2464C22semidirect
171. #2463C22semidirect
172. #2463C22semidirect
173. #2461C22semidirect
174. #2460C22semidirect
175. #2460C22semidirect
176. #2457C22semidirect
177. #2456C22semidirect
178. #2456C22semidirect
179. #2454C22semidirect
180. #2452C22semidirect
181. #2450C22semidirect
182. #2449C22semidirect
183. #2449C22semidirect
184. #2448C22semidirect
185. #2446C22semidirect
186. #2444C22semidirect
187. #2443C22semidirect
188. #2443C22semidirect
189. #2442C22semidirect
190. #2440C22semidirect
191. #2437C22semidirect
192. #2437C22semidirect
193. #2435C22semidirect
195. #2432C22semidirect
198. #2430C22semidirect
199. #2428C22semidirect
200. #2427C22semidirect
201. #2425C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2423C22semidirect
205. #2421C22semidirect
206. #2419C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2417C22semidirect
210. #2416C22semidirect
211. #2412C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
216. #2408C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2406C22semidirect
221. #2405C22semidirect
223. #2404C22semidirect
225. #2398C22semidirect
226. #2397C22semidirect
227. #2396C22semidirect
228. #2396C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
231. C2×#400C22semidirect
232. C2×#399C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
236. #2388C22semidirect
237. C2×#394C22semidirect
239. #2367C22semidirect
240. #2366C22semidirect
241. #2364C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2362C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2359C22semidirect
248. #2358C22semidirect
249. #2358C22semidirect
250. #2358C22semidirect
251. #2356C22semidirect
252. #2354C22semidirect
253. #2353C22semidirect
254. #2352C22semidirect
255. #2349C22semidirect
256. #2349C22semidirect
257. D4×C4⋊C4C22semidirect
258. #2347C22semidirect
259. #2347C22semidirect
260. #2343C22semidirect
261. #2343C22semidirect
262. #2342C22semidirect
265. #2339C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. #2328C22semidirect
271. #2326C22semidirect
272. #2325C22semidirect
273. #2325C22semidirect
274. #2324C22semidirect
275. #2323C22semidirect
276. #2321C22semidirect
277. #2321C22semidirect
278. #2320C22semidirect
279. #2318C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×#123C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#120C22semidirect
286. C4×#120C22semidirect
287. C4×#120C22semidirect
288. #2290C22semidirect
289. #2290C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. C2×#388C22semidirect
293. C2×#386C22semidirect
294. C2×#386C22semidirect
295. C2×#385C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C2×#383C22semidirect
300. #2275C22semidirect
415. C4×#41D4semidirect
891. C22×D4#41semidirect
1027. C4×Q8C2×D4semidirect
1028. C4×Q8C2×D4semidirect
1079. C4×D4C2×D4semidirect
1080. C4×D4C2×D4semidirect
1099. #117C2×D4semidirect
1100. #117C2×D4semidirect
1252. C2×C42C2×D4semidirect
1253. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34752
C2×C4×H(5,𝔽2)2
#362292
#362282
#362212
#362202
#362152
#362142
#360872
#360802
#360702
#360672
#360042
#359902
#359872
#359822
#357532
#357502
#356832
#356802
#355262
#355252
#354492
#353522
#353422
#352332
#351442
#351022
#349632
#349092
#348752
C2×#25982
#342922
#342902
#341952